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Intro Courses The intro­duc­tory courses for math majors are MAT 215: Sin­gle Vari­able Analy­sis, MAT 217: Lin­ear Alge­bra, and MAT 218: Mul­ti­vari­able Analy­sis. Like the great major­ity of math courses at Prince­ton, these three courses are the­o­ret­i­cal and proof-based. The intro courses, espe­cially MAT 215, empha­size this mind­set and are geared towards teach­ing stu­dents to read and write proofs. These three are usu­ally the first math classes that math majors take at Prince­ton. How­ever, the math depart­ment is very flex­i­ble in allow­ing advanced fresh­men to skip some or all of these courses. Stu­dents who do skip any of these three should make sure they are very com­fort­able with the cor­re­spond­ing mate­r­ial. Another note is that rarely, peo­ple opt to take MAT 214: Num­bers, Equa­tions, and Proofs instead of MAT 215. The for­mer is a course which also teaches proofs and rig­or­ous think­ing, but in the con­text of clas­si­cal num­ber theory. Brief Course Sum­maries [Show]Brief Course Sum­maries [Hide] The goal of MAT 215 is to build the the­ory of analy­sis from the ground up, teach­ing stu­dents to think rig­or­ously along the way. The course starts by address­ing the ques­tion: what are real num­bers? It then intro­duces its stu­dents to impor­tant topo­log­i­cal pre­lim­i­nar­ies such as open and closed sets, com­pact­ness, and com­plete­ness. The remain­der of the course is spent on devel­op­ing the the­ory of lim­its, dif­fer­en­ti­a­tion, inte­gra­tion, sequences, and series. See below for a first-hand descrip­tion of MAT 215. MAT 217 is a course in lin­ear alge­bra, a sub­ject at the foun­da­tion of almost all branches of pure and applied math. The most basic math­e­mat­i­cal object this course deals with the vec­tor spaces, a struc­ture whose ele­ments can be added and mul­ti­plied by scalars. One exam­ple of this is the set of n-tuples of real num­bers. The major­ity of the course is spent study­ing lin­ear trans­for­ma­tions between vec­tor spaces and their close rel­a­tives, matri­ces. MAT 218 is in a sense a con­tin­u­a­tion of MAT 215: it gen­er­al­izes the con­cepts of lim­its, dif­fer­en­ti­a­tion, and inte­gra­tion from one to mul­ti­ple dimen­sions. Though some of the mate­r­ial at the begin­ning of MAT 218 might look famil­iar, fairly soon analy­sis in sev­eral vari­ables takes on a fla­vor of its own. In par­tic­u­lar, lin­ear alge­bra turns out to play a sig­nif­i­cant role, espe­cially the space Rn and the deter­mi­nant. The course briefly touches on the sub­ject of man­i­folds, i.e., smooth sur­faces, which are impor­tant in fields such as topol­ogy, dif­fer­en­tial geom­e­try, and Lie the­ory. MAT 218 con­cludes with a sur­pris­ingly ele­gant gen­er­al­iza­tion of the fun­da­men­tal the­o­rem of cal­cu­lus called Stokes' The­o­rem. First-hand Account of MAT 215 [Show] First-hand Account of MAT 215 [Hide] For most stu­dents, MAT 215 will be the first course they take in rig­or­ous math­e­mat­ics. High school math typ­i­cally involves apply­ing and some­times slightly mod­i­fy­ing a pro­ce­dure that the teacher has pre­vi­ously demon­strated. In 215, you will never have a prob­lem this rou­tine. There are some recur­ring tech­niques that you will learn to apply, but home­work and exams will require you to maneu­ver a lit­tle dif­fer­ently in each instance. Lec­tures fol­low a com­mon pat­tern: the pro­fes­sor presents a the­o­rem, sup­plies a proof or sketch of a proof, and dis­cusses the sig­nif­i­cance of the result. Rarely will your teacher stop to address the best way to han­dle a par­tic­u­lar class of prob­lems. A few ques­tions will be more com­pu­ta­tional in nature (e.g. does the fol­low­ing series con­verge?), but even these will go far beyond basic approaches (e.g. apply­ing the root or ratio test, though both make an appear­ance in the course). If this seems fright­en­ing, relax. A cen­tral goal of the course is to build your famil­iar­ity with this style of math. The begin­ning of the semes­ter will be an adjust­ment, but even­tu­ally, you will become com­fort­able with these sorts of ques­tions. For the stu­dents who choose to enroll in 215, it will likely be their most demand­ing and time-consuming course that semes­ter. Some will have enough pre­vi­ous expe­ri­ence to com­plete prob­lem sets in a few hours, such as those who have par­tic­i­pated exten­sively in math com­pe­ti­tions, but most should expect to work a min­i­mum of 10–15 hours on assign­ments; with high prob­a­bil­ity, there will be at least one prob­lem set that takes 20+ hours. Stu­dents should also spend some time each week review­ing class notes so that they can fol­low along with proofs dur­ing lec­ture– as with any course that builds upon ear­lier mate­r­ial, falling behind is a bad idea. Basi­cally, you should be ready to work really hard. But there is good news: 215 is famous for its large study groups. I rarely worked with fewer than 6 other peo­ple– all of us strug­gling, but strug­gling together. Office hours usu­ally turn into sem­i­nars, with the major­ity of the class attend­ing for home­work help. 215 is the clos­est that you will come to team math in your time at Prince­ton. As an incom­ing fresh­man, you will have a ready-made group of friends who will share your inter­est in math. These study groups became some of my favorite mem­o­ries from school. Recent Changes [Show]Recent Changes [Hide] The math depart­ment has recently seen its enroll­ment rise, which entails an increas­ing diver­sity in lev­els of prepa­ra­tion. Some incom­ing math majors will have already seen and done proofs, while oth­ers will have not. To accom­mo­date both of these groups, the math depart­ment will be split­ting up MAT 215 into two sec­tions. One sec­tion will intro­duce stu­dents to proofs more fully and grad­u­ally, while the other will assume expe­ri­ence with proofs and launch right into the mate­r­ial. Logis­ti­cally, the math depart­ment plans to split the two sec­tions like PHY 103 and PHY 105: have the two sec­tions start out together, but then use the first one or two prob­lem sets to dif­fer­en­ti­ate between the two groups. In addi­tion, many math majors would like to have their intro­duc­tory math courses done by the end of fresh­man year. This has resulted in the low pop­u­lar­ity of the last intro course, MAT 218. In response to this, the depart­ment is now con­sid­er­ing switch­ing to a two-semester intro­duc­tory sequence. Lit­tle is know at this point about how or when this will happen. Links to the Math Depart­ment Web­site [Show]Links to the Math Depart­ment Web­site [Hide] The above descrip­tions for the intro­duc­tory courses are fairly short, due to the fact that the math depart­ment has done a good job of pro­vid­ing infor­ma­tion about these courses on its web­site. Please see here for more details on course con­tent, sam­ple mate­r­ial, and other infor­ma­tion. The FAQ sec­tions of the pages for the intro courses pro­vide answers to ques­tions such as "how hard is this course" and "is this the right course for me".
MPPET Maths Syllabus-1 Engineering Entrance , MPPET Maths Syllabus Madhya Pradesh Professional Examination Test (MPPET): I : ALGEBRA Unit 1 Sets,Relations and Functions Sets and their Representations, Union, intersection and complements of sets and the algebraic properties, Relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings. Unit 2 Complex Numbers Complex number in the form a+ib and their representation in a plane. Argand diagram. Algebra of complex numbers, Modulus and Arguments (or amplitude) of a complex number, square root of a complex number. Cube roots of unity, triangle-inequality. Unit 3 Matrices and Determinants Determinants and matrices of order two and three, properties of determinants. Evaluation of determinants. Area of triangles using determinants, Addition and multiplication of matrices, adjoint and inverse of matrix. Test of consistency and solution of simultaneous linear equations using determinants and matrices. Unit 4 Quadratic Equations Quadratic equation in real and complex number system and their solutions. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots; Symmetric functions of roots. Unit 5 Permutation & Combination Fundamental principle of counting; Permutation as an arrangement. Meaning of P(n,r) and C(n,r) Simple applications. Unit 6 Mathematical Induction and its applications- Unit 7 Binomial Theorem and its Applications Binomial Theorem for a positive integral index; general term and middle term; Binomial Theorem for any index. Properties of Binomial Co-efficients. Simple applications for approximations. Integral as an anti-derivative, Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Integral as limit of a sum. Properties of definite integrals. Evaluation of indefinite integrals; Determining areas of the regions bounded by simple curves. Unit 11 Differential Equations Ordinary differential equations, their order and degree. Solution of differential equations by the method of separation of variables. Solution of homogeneous and linear differential equations. III : TWO AND THREE DIMENSIONAL GEOMETRY Unit 12 Two dimensional Geometry Recall of Cartesian system of Rectangular co-ordinates in a plane, distance formula, area of a triangle, condition for the collinearity of three points and section formula, centroid and in-centre of a triangle. Locus and its equation, translation of axes, slope of a line; parallel and perpendicular lines. Intercepts of a line on the coordinate axes. Unit 12 The straight line and pair of straight lines Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrency of three lines, distance of point from a line, coordinates of orthocentre and circumcentre of triangle, equation of family of lines passing through the point of intersection of two lines homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent of pair of lines, point of intersection and angle between two lines represented by S=O and the factors of S. Unit 12 Circles & system of Circles Standard form of equation of a circle, general form of the equation of a circle its radius and centre, equation of a circle in the parametric form, equations of a circle. When the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to the circle. Length of the tangent, equation of the tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal. Unit 12 Conic Section Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y=mx+c to be a tangent and point(s) of tangency. Unit 13 Three dimensional Geometry Coordinates of the point in space, distance between the points; Section formula, direction ratios and direction cosines, angle between two intersecting lines, equations of a line and plane in different forms; intersection of a line and a plane, coplanar lines, equation of a sphere, its centre and radius. Diameter form of the equation of a sphere. IV : VECTORS Unit 14 Vector Algebra Vector and Scalars, addtion of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, vector triple product. Application of vectors to plane geometry. V : STATISTICS Unit 15 Measures of Central Tendency and Dispersion Calculation of Mean, median and mode of grouped and unpgrouped data. Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Unit 16 Probability Probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability; Probability distribution of a random variable; Binomial distribution and its properties. VI : TRIGONOMETRY Resultant of Coplanar forces; moments and couples. Equilibrium of three concurrent forces. Unit 19 Dynamics Speed and velocity, average speed, instantaneous speed, acceleration and retardation, resultant of two velocities, relative velocity an its simple applications. Motion of a particle along a line moving with constant acceleration. Motion under gravity. Laws of motion, Projectile motion.
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Angel workMore than 350,000 students have prepared for teaching mathematics with A Problem Solving Approach to Mathematics for Elementary School Teachers since its first edition, and it remains the gold standard today. This text not only helps students learn the material by promoting active learning and deve...
Synopsis This book provides a clear picture of the use of applied mathematics as a tool for improving the accuracy of agricultural research. For decades, statistics has been regarded as the fundamental tool of the scientific method. With new breakthroughs in computers and computer software, it has become feasible and necessary to improve the traditional approach in agricultural research by including additional mathematical modeling procedures. The difficulty with the use of mathematics for agricultural scientists is that most courses in applied mathematics have been designed for engineering students. This publication is written by a professional in animal science targeting professionals in the biological, namely agricultural and animal scientists and graduate students in agricultural and animal sciences. The only prerequisite for the reader to understand the topics of this book is an introduction to college algebra, calculus and statistics. This is a manual of procedures for the mathematical modeling of agricultural systems and for the design and analyses of experimental data and experimental tests. It is a step-by-step guide for mathematical modeling of agricultural systems, starting with the statement of the research problem and up to implementing the project and running system experiments. Found In eBook Information ISBN: 9780080535883
Synopsis With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability
Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, and irrational numbers) - Write numbers in scientific notation and translate back into standard form - Find the common factors and greatest common factor of two or more numbers - Determine multiples and least common multiple of two or more numbers - Determine the prime factorization of a given number and write in exponential form - Simplify expressions using order of operations - Note: Expressions may include absolute value and/or integral exponents greater than 0. - Add, subtract, multiply and divide integers - Recognize and state the value of the square root of a perfect square (up to 225) - Determine the square root of non-perfect squares using a calculator - Identify the two consecutive whole numbers between which the square root of a non-perfect square whole number less than 225 lies Algebra: - Translate two-step verbal expressions into algebraic expressions - Add and subtract monomials with exponents of one - Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation - Solve one-step inequalities (positive coefficients only) Geometry: - Calculate the radius or diameter, given the circumference or area of a circle - Calculate the volume of prisms and cylinders, using a given formula and a calculator - Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones and pyramids) - Determine the surface area of prisms and cylinders, using a calculator and a variety of methods - Find a missing angle when given angles of a quadrilateral - Identify the right angle, hypotenuse, and legs of a right triangle - Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle - Determine whether a given triangle is a right triangle by applying the Pythagorean Theorem and using a calculator - Graph the solution set of an inequality (positive coefficients only) on a number line Measurement: - Calculate distance using a map scale - Convert capacities and volumes within a given system - Calculate unit price using proportions - Draw central angles in a given circle using a protractor and display data (circle graphs)
This book is the ultimate math resource or home which has everything you need for math success. Also includes a handy Almanac with math prefixes and suffixes, problem-solving strategies, study tips, guidelines for using spreadsheets and databases, test-taking strategies, helpful lists and tables, and more.
Thursday, November 24, 2011 Tuesday, November 22, 2011 Who uses it? Isaac uses it. Actually, all of my kids switch from Horizons Math to Saxon 54when they hit the Saxon 54 book. As far as I can tell, Emma will be transitioning into Saxon as planned next year. What do you get? When I purchased the Homeschool Packet, I received the student text, solutions manual, answer key, test booklet. I also purchased the DIVE CD and Lesson Plan from MFW. If you plan to purchase the DIVE CD, be sure you check the editions of both the CD and the text to make sure they match. Where can you get it? Saxon math is published by Saxon Publishers. You can purchase the curriculum from Saxon, online retailers such as Amazon or CBD, and online curriculum stores like My Father's World and Sonlight. How much is it? Prices below are for Saxon Algebra 1/2. Prices vary for each text. Homeschool Kit – $74.70 (student text, tests, answer key) Solutions Manual – $40.20 (optional) Lesson Plan Booklet – $15.00 (Sold exclusively by My Father's World. According to their site: These plans assign the problems in each lesson that are most important to complete.) Why? It works for us! It does not work for everyone. My kids do okay with a black and white, no-frills text. They need the spiral teaching style of Saxon. This helps them keep concepts fresh in their minds. How we use it: Isaac starts out each day correcting his work from the day before if he scored less than 85%. I do this for a few reasons. Firstly, I want him to correct his mistakes so that I can see that he has grasped the concept before moving ahead. It keeps him from rushing through his lessons if he knows he'll have to correct his mistakes the next day. By not making him correct his lesson if he scores at least an 85%, it keeps him from feeling 'stupid' (his word not mine) if he makes an occasional mathematical error – missing a multiplication fact or adding wrong. After I check his corrections to make sure he got them right the second time, he does his DIVE CD lesson. These CD's present each day's lesson on a digital white board. Isaac can hear the instructor 'teach' each lesson while watching him work the sample problems on the white board. After the problem is written on the board, Isaac pauses the CD and works the problem in his notebook. Then, he hits play to see the answer. If his answer doesn't match the CD answer, he is to go back and listen to the 'lecture' part over again. If he still doesn't understand, he brings it to me. Last year, Isaac got about 1/3 of the way through Saxon Algebra 1/2 without the DIVE CD. He hit a wall and got to the point where he didn't want to have me lecture/teach him the math lesson. Isaac thought I was being critical of him when I was correcting him. It ended with LOTS of tears from both of us. It wasn't productive for either of us. So, we put the book away and didn't do math for the rest of the year. So far, this year has been a complete turn around. He has gained confidence in his math abilities. He enjoys the CD, because someone else is teaching him. I use the lesson plan booklet from My Father's World. I am not comfortable knowing which Saxon problems can be skipped (and if you do any research online you will see that parents are STRONGLY discouraged from skipping problems). However, I used the lesson plan book a few years ago with Logan, and it worked out just fine. One of the things Isaac hated about Saxon last year was that he had to do 30 problems each day. Now, the book tells him which problems to do. Some days he has 10-15, and other days he has 20-30. For some reason, if the book is telling him to 30 problems there is much less complaining! That is worth $15 in my opinion!! After the DIVE CD lesson, Isaac does the practice problems in his text and I check them. Then, he's off to complete that day's lesson. My recommendation: If you're looking for a no-frills spiral approach to math, this may be what you're looking for. Here's the order we (plan to) do Saxon Math: 4th grade – Saxon 54 5th grade – Saxon 65 6th grade – Saxon 76 7th grade – Saxon Algebra 1/2 (Isaac is a year behind this schedule due to the issues I mentioned above.) 8th grade – Saxon Algebra 1 9th grade – Saxon Algebra 2 10th grade – Saxon Advanced Math 11th grade – Saxon Calculus (over 1.5 – 2 years if necessary) 12th grade – College Algebra at the community college (dual enrollment) upon the completion of Calculus *This isn't a Crew review or a solicited review of any sort. It's my honest opinion of our math curriculum - that I purchased -, and I wanted to share it with you. Monday, November 21, 2011 We are not doing school this week. I am babysitting Monday – Wednesday. I'm cleaning house and running errands to prep for Thanksgiving at my house. My in-laws are driving down from Missouri on Wednesday – all 6 of them. A close friend and her family are coming over for Thanksgiving dinner – all 5 of them. My sister will also be coming over for dinner. We do the traditional Thanksgiving fare – turkey, ham, rolls, stuffing, cranberries, veggies, mac-n-cheese, and TONS of desserts. Friday, I'm hoping to get a little shopping done. Saturday, we are meeting friends in our downtown area to attend our local Dickens of a Christmas festivities. I can't wait! Sunday, I'll rest up for the next week of school. Maybe, we'll get the Christmas tree put up, too. Sunday, November 20, 2011 Well, this turned out to be a pretty productive week! And, it's a good thing since we are off next week for Thanksgiving. I'm babysitting one of my afterschool girls Monday – Wednesday of next week so we won't be doing any schoolwork. learned about verbals – infinitives and gerunds – and learned how to diagram them created some Monet-inspired artwork listened to Vivaldi's Ring of Mystery Logan: finished reading Around the World in Eighty Days and wrote an approach paper learned about Russia and took a European countries and capitals map quiz created some Matisse-inspired artwork listened to Vivaldi's Ring of Mystery I jotted down some notes as I was teaching this week. Here are a few things I observed: Isaac needs to memorize the prepositions so he can recognize prepositional phrases and objects of the preposition easier. Emma needs to memorize her times tables to eliminate the need to count on her fingers. Isaac and Emma have asked to do Latin and Spanish together. So, we will be stopping where we are so Isaac can catch up in Latin and Emma in Spanish. We will do them together for the remainder of the year. Logan needs to really work on managing his time wisely. He got pretty behind this week on his homeschool and college class work, and pulled an all-nighter to catch up on Thursday. I don't want this to become a habit so we will be working on time management after Fall Break. Friday, November 18, 2011 After reading Alice's Adventures in Wonderland, Isaac read in his Lightning Literature text that Lewis Carroll would often sit in a room with his eyes closed and listen to the sounds around him. He would then turn those thoughts and sounds into what-if questions. Many of those questions wound up becoming smaller stories in Alice's Adventures in Wonderland. For Isaac's writing assignment, he chose to write 50 what-if questions in the style of Lewis Carroll. I had to share some of them here, because they're funny! My brain just doesn't go to those kinds of places. Isaac's questions had me laughing out loud. I could never in a million years have come up with questions like these. What if the whole world was Disney World? What if Tom ate Jerry? What if all the parents burnt down Chuck E. Cheese? What if the presidents on money talked? What if calculators told you to figure it out? What if snakes turned into jump ropes? What if the Beatles lived in a red submarine? What if eggs and ham were really green? What if blondes made fun of brunettes? What if someone did not laugh at all while reading this? There really is never a dull moment in this house!! And, I like it that way! Wednesday, November 16, 2011 Tuesday, November 15, 2011 The College Prep Genius curriculum helps prepare students to master the SAT. The $99 set (a 25% discount) comes with the Mastering the SAT Class DVD, the College Prep Genius Textbook and a Student workbook. My oldest, a senior in high school, has taken the SAT twice and has plans to take it one more time in December. I have him working through this program in preparation for his upcoming test. Logan and I are both very impressed with this program. Jean Burk takes students through learning the secrets of the SAT. Logan had no trouble at all learning the acronyms that are used to decode the SAT. The twelve chapters cover all the sections of the SAT. According to the website, the program teaches students to write a great essay in 15 minutes and how to eliminate 2-3 answers immediately. Logan is really excited to see how high he can raise his score after completing this program. He's hoping to qualify for a scholarship based upon his SAT scores. He's prepping with College Prep Genius while I'm praying and keeping my fingers crossed! Logan went on his first college tour Friday. Matt took the day off work, and they visited Dallas Baptist University. This is Logan's first-choice school. He has quite a few friends who attend DBU, and is really hoping to secure enough scholarship money to make it happen. Monday, November 14, 2011 This weekend we had the opportunity to watch a World War II reenactment. I must say that I wasn't very excited about the field trip initially. I was, however, excited to meet up with some friends I hadn't seen since September. It turned out, however, to be pretty interesting. The kids enjoyed themselves, too. Here are a few pics from our trip.
Questions Posted by TheExpert92 Part A Given: † Contextual factors include community, school, and classroom factors; characteristics of students; studentsí varied approaches to learning; and studentsí skills and prior learning. It is... Task 2 Introduction: † It is important to understand applications of recursion that would be useful for teaching high school mathematics. † Scenario: † You are a mathematics teacher at a high school.... task 1 Introduction: † Mathematical modeling is a powerful scientific tool, and knowing about it increases the competence of mathematicians and mathematics teachers. † Given: † The data listed in the... lesson plan 2 Task C: † A.† Using the attached lesson plan format, create an original lesson plan to describe the historical development of Euclidean and non-Euclidean Geometries . The lesson will include: ... lesson plan 2 Many diverse cultures have contributed to the development of mathematics over time. † Task: † † A. † Using the attached lesson plan format, create an original lesson plan to describe the... task 4 Fields are an important algebraic structure, and complex numbers have that structure.   Task:   A.  Use de Moivre's formula to verify that the 5th roots of unity form a group under complex... algebra 3 Introduction: † Rings are an important algebraic structure, and modular arithmetic has that structure. † Recall that for the mod m relation, the congruence class of an integer x is denoted [ x] m....
Hands-On Equations | Education Profile Video About Us Hands-On Equations is a supplementary program that can be used with any math curriculum. It uses the visual and kinesthetic approach developed by Dr. Henry Borenson to provide students with an algebraic foundation for success with algebra. The program also provides students with a unique five-step procedure enabling them to concretize and solve word problems. Even ten lessons of Hands-On Equations can make a dramatic difference in the ability of your students to be successful with algebraic linear equations and word problems! Hands-On Equations provides a foundation for the Common Core State Standards and, in many instances, exceeds those standards. Additional Information What are the benefits of using Hands-On Equations? No algebraic prerequisites are required It is a game-like approach that fascinates and motivates students The gestures or "legal moves" used to solve the equations reinforce the concepts at a deep kinesthetic level The program can be used as early as the 3rd grade with gifted students, 4th grade with average students and 5th grade with LD students; it also serves as an excellent component of a middle-school pre-algebra program Students attain a high level of success with the program The program provides students with a strong foundation for later algebraic studies The concepts and skills presented are essential for success in an Algebra 1 class Algebra concepts your student will learn in only seven lessons! The concept of an unknown How to evaluate an expression How to combine like terms The relational meaning of the equal sign (both sides have the same value) The meaning of an algebra equation How to balance algebra equations (using the subtraction property of equality) The concept of the check of an equation The ability to solve one and two-step algebra equations Solving equations with unknowns on both sides How to work with a multiple of a parenthetical expression But students learn much more; they learn that: Mathematics is a subject one can understand Mathematics can be learned without memorization They need not be intimidated by algebra symbols They can enjoy doing mathematics They can explain mathematics to others They can have success in one of the most "difficult" topics of mathematics Services Additional Links Specials Free on-site staff development with the purchase of thirty class sets for teacher and thirty students at $275 for each class set.! Testimonials "The Making Algebra Child's Play workshop is the most requested workshop from classroom teachers...not only is Hands-On Equations a powerful tool and the workshop exceptional, the customer service is outstanding." -Charity D. Weber, Specialist, Elementary MathematicsDistrict 8, Los Angeles School DistrictLos Angeles, CA "For the first time in my life, I actually understood how to do algebra and why it works. You and your child do not have to fear algebra. With Hands-On Equations, the solution to algebra is in your hands! I give it an A+!"- The Old SchoolHouse- The Magazine for Homeschooling Families
Algebra 1 Common Core Semester 2 Plan These are the objectives that are placed into my gradebook. This assessment strategy has been introduced to my students' parents at open house. These are the skills that I will be assessing, but my teaching will often go deeper and cover more concepts. Having this focus allows students the freedom to know exactly what will be on the tests/assessments while exploring mathematics.
Search MAA Reviews: MAA Reviews Advanced Algebra Anthony W. Knapp Table of Contents Preface.- Guide for the Reader.- Transition to Modern Number Theory.- Wedderburn –Artin Ring Theory.- Brauer Group.- Homological Algebra.- Three Theorems in Algebraic Number Theory.- Reinterpretation with Adeles and Ideles.- Infinite Field Extensions.- Background for Algebraic Geometry.- The Number Theory of Algebraic Curves.- Methods of Algebraic Geometry.- Index.
I am an actuary and one of the topics covered in our syllabus was Finite Difference, which is basically the same as Discrete Math. Discrete math can cover many different topics and is a fairly advanced topic. I have assisted students at a high school on Discrete Math as it is taught there
UNLV Math Competitions The mathematical competition activities at UNLV consist of a semester-long workshop on problem solving, the Annual UNLV Mathematical Competition, and the William Lowell Putnam Mathematical Competition. The local version of the Putnam exam is open to all undergraduate students at UNLV. The competition is typically held during the fall term in October. The William Lowell Putnam Mathematical Competition The William Lowell Putnam Mathematical Competition is the premier mathematical competition for undergraduates in North America. This annual contest began in 1938 and is designed to stimulate a healthful rivalry in mathematical studies in the colleges and universities in the United States and Canada. It is administered by the Mathematical Association of America and attracts a large number of contestants from nearly 500 colleges and universities across North America. It is usually held on the first Saturday of December and consists of two three-hour sessions of six problems each. The problems are challenging and require considerable ingenuity and insight, but little technical knowledge beyond calculus. In addition to individual competition, the participating colleges are ranked based on the performance of their three-member teams.
Book Description: Offering students step-by-step mathematics progression through the GCSE Intermediate-tier examination topics, and presented in separate units of work, this book is designed to encourage and support the students whether they are new to GCSE or preparing to retake the exam. Worked exam questions with examples are accompanied by examiners' tips which show students how to gain marks, and advice is offered on the planning of a revision programme.
To quote the Terminator, I'm back! After being absent for a few months while our office moved from the central US to central Europe, we are planning to spend more time in the next few weeks getting ready for fall semester. In addition to adding videos and practice problems in all subjects as we come across them, our main focus will be to more fully develop the multi-variable calculus pages, mostly in the area of vector analysis. As usual, if you have a specific area that you would like us to work on, feel free to leave a comment here or go to 17calculus and leave a message in the help box in the lower right corner of the screen. You can also email us at the address found on the about page. Make sure not to waste your summer by studying too much or too little. Spend a lot time relaxing but also take a few hours (at least 10) every week to go over some of the material from your spring courses so that you don't lose that newly-learned material. Also, keep an eye on your schedule for fall. Summer is a great time to get a head-start on your fall classes. Here are a few ideas. - Get your textbooks early, now, if you haven't already. Scan through them and read carefully the first 2 or 3 chapters. - See if you can get a syllabus from a previous semester (preferably from the same teacher that you will have) to get an idea of where your instructor will start. Start reading and studying now. - Read books on how to be a better student. You probably didn't learn how to be a good student before college. It is something that needs to be developed and studied separately. You will find some books in the 17calculus bookstore. - Go back to your spring semester material to review difficult material that you struggled with. This is especially important if the material was a prerequisite for a class coming up this fall or later in your degree program. But most of all, relax. Your mind and body need to rest after the intensity of later year. Take care of yourself with proper rest, exercise and nutrition.
Each Monday you will be given a problem set which is due the following Monday. These will be graded on how clearly you explain your solution, not just the final answer. Try to write so that the average student in the class could easily follow what you are doing without having seen the problem before. I encourage you to work together on exercises and in_class activities; but the problem sets should represent your own work. You may discuss the problems with me but not anyone else. As per Viterbo's academic honesty policy, each Problem Set assignment must have the following written at the end and must have your signature. "I have read and understand the policies of Viterbo College regarding academic honesty. I assert this represents my own work and adheres to college policies." Your signature is saying that the statement is true so please be sure you understand the policies. If you are unsure about anything, please talk to me about it. To save yourself writing simply write "Pledged" followed by your signature instead of the entire statement on problem sets after the first one. V. Philosophy Some of you may have had mathematics courses that were based on the transmission, or absorption, view of teaching and learning. In this view, students passively "absorb" mathematical structures invented by others and recorded in texts or known by authoritative adults. Teaching consists of transmitting sets of established facts, skills, and concepts to students. I do not accept this view. I am a constructivist. Constructivists believe that knowledge is actively created or invented by the person, not passively received from the environment. No one true reality exists, only individual interpretations of the world. These interpretations are shaped by experience and social interactions. Thus, learning mathematics should be thought of as a process, of adapting to and organizing one's quantitative world, not discovering preexisting ideas imposed by others. Consequently, I have three goals when I teach. The first is to help you develop mathematical structures that are more complex, abstract, and powerful than the ones you currently possess so that you will be capable of solving a wide variety of meaningful problems. The second is to help you become autonomous and self-motivated in your mathematical activities. You will not "get" mathematics from me but from your own explorations, thinking, reflecting, and participation in discussions. As independent students you will see your responsibility is to make sense of, and communicate about, mathematics. Hopefully you will see mathematics as an open-ended, creative activity and not a rigid collection of recipes. And the last is to help you become a skeptical student who looks for evidence, example, counterexample and proof, not simply because school exercises demand it, but because of an internalized compulsion to know and to understand, Fraleigh, John, A First Course in Abstract Algebra, Addison-Wesley, 1989. Gallian, Joseph, Contemporary Abstract Algebra, D.C. Heath, 1990. Hungerford, Thomas, Abstract Algebra, Saunders, 1990. Solow, Daniel, How to Read and Do Proofs, John Wiley & Sons, 1990.. VII. AMERICANS WITH DISABILITIES ACT "If you are a person with a disability and require any auxiliary aids, services or other accommodations for this class, please see me and Wayne Wojciechowski, The Americans With Disabilities Act Coordinator (MC 320_796- 3085) within ten days to discuss your accommodation needs."
PPC PROGRAM and ALEKS MATH WORKSHOP The PPC (Pre-pre-calculus) program is the component of the Math Workshop which reviews your high school algebra in order to bring you up to the level needed for your required or desired M and Q classes. This requirement can be met by completing an on-line math program "ALEKS," (an acronym for "Assessment and LEarning in Knowledge Spaces"). ALEKS is a web-based program for the assessment and individualized teaching of mathematics for the purpose of raising your Wittenberg University math placement score to a level 22, 23 or 24. ALEKS is the new way to learn math on the World-Wide-Web. By knowing exactly which math concepts the student has mastered, which are shaky, and which are new but within reach, ALEKS enables the student to work on those concepts the student is most ready to learn. ALEKS is a full-time automated tutor, including explanations, practice, and feedback. ALEKS closely interacts with the student, continuously updating its precise map of the student's knowledge state. ALEKS combines the advantages of one-on-one instruction and evaluation with the convenience of being on-call, on your computer, 24 hours a day, seven days a week. To learn more about ALEKS, please visit Level 22 is referred to as Minimal Algebra (MA) and students can take those classes requiring that placement to fulfill their math requirements. Students can choose from such courses as Computing in the Arts & Sciences, Principles of Economics, Language of Mathematics, Math for Elem/Mid-School Teachers, Logic and Critical Reasoning, and Astronomy. Level 23 (MS) - Needed for algebra based statistics courses Required for students majoring in Forestry and Environmental Studies, Occupational Therapy, Geography, Political Science, Psychology and Sociology. Level 23 is referred to as Math for Stats (MS) and students needing this placement for their major are required to take Statistics. Level 24 is needed by students who will need to take Pre-Calculus and then continue on with Calculus. In order to proceed with the ALEKS program, first visit the Math Workshop for advising so that all your questions and concerns can be addressed along with providing you explanations of the program in detail. In order for a student to register as an ALEKS user, they will need an Access code. They will also need a Course codeprovided by the Math Workshop. There will be three different course codes to correspond to the math placement levels of 22, 23, and 24. When the student registers with the ALEKS system, their name is entered into the database and records of their progress are kept. After being advised about the ALEKS program, visit the Wittenberg University Bookstore to purchase an Access code. DO NOT OPEN the packaging until you return to the Math Workshop. (The access code can also be purchased online under the direction of the Math Workshop). Then follow these steps: NOTE: Your first time into the ALEKS system must be done in the Math Workshop. When you return to the Math Workshop, the receptionist will direct you to a head tutor who will then assist you in the following steps: 1. Go to the web address 2. This is the home page. In the upper right hand corner of the screen, click on "Register with ALEKS" (first time users). 3. Under "For Students", click on REGISTER 4. At the end of this very long paragraph, click on I ACCEPT 5. At the beginning of registration, you will be asked for your Access Code. It is on a sticker inside the back cover of your booklet. This access code is good for only 18 weeks from the time you register. Enter the access code in the spaces provided and click on "Next." 6. There are 4 sections listed for you to complete. It is essential that you allow yourself at least an hour to complete the Registration, Tutorial and the Assessment. 7. Near the conclusion of the Registration, you will receive a login name and password, with an option to change the password assigned to you. Every time you log on from the ALEKS website you will enter the Login Name and Password provided at this registration. These should be noted carefully as they will be essential for all further work with ALEKS. If by some chance you lose your Login Name or Password, contact your instructor. 8. Following registration you will be asked for your Course Code. The course code is given to you by the Math Workshop. You will receive a course code based the math placement level of 22, 23 or 24. Enter this in the spaces provided and click on "Next." 9. After registration, you will enter a brief Tutorial on the use of the ALEKS input tools, called the "Answer Editor." This is intended to show you how to input your answers. 10. You will directly proceed from the Tutorial to your first Assessment. You will need to have paper and pencil on hand in order to answer the open-ended problems (no multiple-choice). This initial assessment is adaptive and variable in length. Some of you will have very short assessments whereas others will have assessments that are considerably longer. This assessment is to determine where you should start and it will show what areas of knowledge you already know and what areas you will need to work on. It is extremely important that you answer truthfully and honestly, and if you don't know the answer, click on the key "I don't know." 11. At the conclusion of the assessment, you will be given a brief Tutorial on how to interpret the Assessment Report. This will be in the form of one or more color-coded pie charts with explanations. Please ask a tutor if help is needed in evaluating your assessment. 12. You can then enter the Learning Mode by clicking on one of the topics contained in your pie chart (topics you are "ready to learn"). In the Learning Mode, you will be required to solve an appropriate number of practice problems correctly before the system will conclude that the concept has been mastered. The Learning Mode will provide you with many resources to help you in mastering a particular concept, which includes explanations, practice problems, feedback on problem solutions and access to a student Mathematical Dictionary. (NOTE: feel free to ask any math tutor working here for additional assistance.) As you master topics, you will begin to "add concepts to your pie." 13. You will continue to work in the Learning Mode until you are requested to complete a progress assessment. These assessments are automatically prompted by ALEKS when you have spent sufficient time in the Learning Mode or when you have made adequate progress. 14. You can end a session with ALEKS in either of two ways: 1) Click on the "Exit" button in the upper left-hand corner of your browser window or 2) simply close the window in one of the ways provided by your browser. Note, if no input is supplied to the system for 15 minutes, the session will automatically terminate. No matter which way you exit, ALEKS will return you to the same place when you next log on. 15. When you have covered 100% of the material, you will be required to complete the final assessment in the Math Workshop. 16. Once you have completed ALEKS and attained an 80% on the final assessment, your score will manually be changed to reflect your achieved math placement level. Remember this: It is highly suggested that you schedule time for ALEKS as you would a class. Since the access code is only valid for 18 weeks, spend at least 3 to 5 hours on it per week. You are more than welcome to use the Math Workshop to schedule time and work on ALEKS here. This is extremely advantageous due to the tutors that are always available for your assistance. If your ALEKS account expires and you would like your account extended, please contact the Math Workshop Coordinator (Director) for assistance with this process.
Note: ClickScholar Nancy Hogan discovered this website and helped write the review. Her husband, Ron, is a prolific singer/songwriter, and you can read more about him at the end of this review. "Need help with Algebra? You've found the right place!" That's the claim of this website that offers an amazing algebra resource in the form of free lessons and links to an array of helpful resources for math students. When you get to the site read the introductory paragraphs that explain what the site has to offer including: *Lessons - You'll find everything from beginning algebra to word problems to advance algebra topics like "Solving Logarithmic Equations" and "Rational Expressions." The Appendix in this section includes recommendations for calculators and a wonderful article entitled, "Why Do I Have to Take Algebra?" *Site Reviews - PupleMath has reviewed numerous math websites - so you don't have to, and recommends their faves for: 1) Free Online Tutoring & Lessons 2) Quizzes and Worksheets 3) Other Useful Sites and Services (Note: This explores careers in math, earliest use of math and it's symbols, handouts from University of Texas' Learning Center, and so much more!) Many of the sites they recommend have been featured on ClickSchooling in the past. *Homework Guidelines - While homeschoolers may not need the advice in the article "How to Suck Up to Your Teacher" - it's a great read and provides homework guidelines that are wonderful for those who may supplement their learning in classroom environments or enroll at community college, etc. *Study Skills Self-Survey - Use this terrific feature to determine if you have the study habits needed to learn algebra.
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Categories Description This course will help students build their foundation for their high school math experience. Algebraic thinking and symbolic reasoning are critical components for this course. Students will learn to use various tools and processes and apply them to algebraic concepts and problem solving. There are no files available for this category. CLASS POLICIES Algebra II 2009-2010 Supplies It is your responsibility to bring the following supplies to class EVERY DAY. You will not be allowed to return to your locker or call home to get supplies or homework that you should have brought to class.  Assignments that are due!  #2 pencils and a pen—red, blue, pink, green…..no black ink, please.  3 ring notebook —for MATH ONLY!  Loose-leaf notebook paper  Textbook—covered at all times!  Graphing calculator Notebook Your notebook will become a valuable resource for the class. You must keep it organized! You should keep all math handouts, notes, and assignments in your notebook, along with extra notebook paper and graph paper. I expect you to keep all of your papers organized by date. I also expect you to write down your assignments every day. You must keep an assignment sheet in the front of your notebook. It is my intention that you learn valuable organization skills, and that you learn to use your math materials to study for quizzes and tests. To keep you on your toes and make sure you keep up with your notebook on a daily basis, a "pop" notebook quiz is possible at any time. Bring it with you to class EVERY day. Assignments  All assignments must be done in pencil. (No ink—not even erasable pens!)  Write a heading in the upper right corner—name, class/period, and date.  Write the assignment on the top line of the paper.  Be proud of your work and turn in neat and legible papers.  You must follow all written and oral directions carefully and SHOW ALL WORK, including diagrams that must be drawn and labeled correctly or sentences that justify your answer (when required). No work (or incomplete work) means no credit for the answer! I will not accept answers without appropriate work!  All grading must be done with a pen. (No black ink—I want to be able to see it well!)  All assignments are due the next class period unless otherwise stated. Late work is NOT accepted. An assignment that is not turned in on time will receive a grade of ZERO. If your homework is not with you in the classroom before the tardy bell on the day it is due, then it is not on time! You will NOT be able to go to your locker, call home and ask your mom to bring it, etc.  Calculators may be used when the teacher states they are allowed.  All calculator memories may be cleared before quizzes and/or tests. Absences Due to Illness, Doctor Appointments, Etc.  It is YOUR responsibility to get notes from a classmate and find out the assignment that you missed when you were absent from school. ONE day for each day absent is allowed to complete make-up work, unless other arrangements have been made with the teacher. Work that is not turned in to the teacher with respect to this timeline will be recorded as a ZERO.  If you are absent from class for any reason that has not been pre-arranged, then you must come to my room before the end of the FIRST day you return to school to turn in homework that was due, get your make-up assignments, and find out what you will be responsible for the next time the class meets. Example: You are absent on B-day and miss this class. You return to school on A-day. You must stop by my room to turn in work and get the work you missed, even though this class does not meet again until B-day. Only by doing this can we make certain that you do not fall too far behind in your work.  If you are present for any portion of the school day, then you are responsible for turning in assignments that are due, as well as getting new assignments for that day. Example: You miss B5 because of a doctor's appointment, but then come to school. If you missed this class, you must come see me that day! Again, the purpose of this policy is to keep you from getting too far behind in your work.  If you are absent on the day of a quiz or test, you will be expected to take that quiz or test on the FIRST day you return to class, unless you have been absent for two or more consecutive class periods. If you have been absent for two or more consecutive class periods, the teacher will arrange a time/date with you. Absences for Fieldtrips, Sports, Organizations, Etc.  It is YOUR responsibility to inform the teacher if you know that you will miss class for a fieldtrip, a sporting event, a student council function, or any other pre-arranged school activity. You must talk to the teacher in person and make arrangements for your work BEFORE that day arrives.  Unless other arrangements are made with the teacher, you must turn in any assignment that is due that day BEFORE you leave for the school activity.  Unless other arrangements are made with the teacher, you must take any quiz or test that is scheduled for that day BEFORE you leave for the school activity.  Failure to make arrangements with the teacher before a school-related absence may result in a grade of ZERO for any work that is missed or not turned in on time, including homework, quizzes, tests, and projects. Citizenship  While in class, you are expected to follow all school rules as outlined in the Student-Parent Handbook and Code of Conduct.  You are expected to arrive in class on time with all necessary supplies and assignments. You should be IN YOUR SEAT AND READY TO WORK BEFORE THE TARDY BELL RINGS. Also, remain in your seat until the teacher dismisses you (not the bell).  Be prepared, pay attention, and participate in class activities.  Be positive and cooperative in class.  Treat everyone with the same fairness and respect with which you expect to be treated.  Every effort should be made to take care of personal needs between classes.  Due to allergy/asthma issues, do NOT apply cosmetic items such as perfume, cologne, body spray, lotion, hair spray, nail polish, etc., in the classroom. Do not bring these items to class. Use these things at home before you get here!  Food, drinks, and gum should be reserved for lunch time. Do not bring them to class.  The technology available in the classroom (laptops, calculators, Navigator system, etc.) should be treated with care at all times. Students who do not use equipment properly will be referred to the administration.  Math class is for math work only! If you work on assignments for another class while you are supposed to be working on math, the assignment will be collected and will not be returned to you. This means you risk earning a zero in that other class.  Personal Data Assistants (PDAs) and laptops may not be used in class without permission from the teacher. As a general rule, you will take notes in class on handouts from the teacher or on your own notebook paper. Also, remember that your textbook must be with you every day; you will not use your laptop for a textbook in class.  Academic dishonesty will not be tolerated. This includes "sharing" work or answers, copying another student's work, and plagiarism. Anyone who is academically dishonest will receive a grade of ZERO for that homework, quiz, test, or project, including the person who "shares" his or her work with another person. In addition, incidents of academic dishonesty will be referred to the administration.
Short description This eBook on prime numbers, factors and multiples numbers covers factors, multiples, and prime numbers as well as highest common factor (HCF) and lowest common multiple (LCM) calculations and deliberations. Grades 9 & 10 math eBooks comprise three principle sections. These are, notably: • Number and Algebra (Read more) maths eBooks are produced such as that as well as a Publications Guide, and three principle publications corresponding to the principle sections (Number and Algebra, Geometry and Measures and Statistics) there are individual modules produced within each principle section which are published as eBooks. Prime Numbers, Factors and Multiples is a module within the Number and Algebra principle section our Grades 9 & 10 publications. (Less)
Math STEM Mathematics is a study of mathematical methods that are typically used in science, engineering, business, and industry with a review of essential concepts from Algebra 2 and Pre-Calculus. Students will work on application problems which include trigonometry, systems of linear equations, quadratic, exponential, and logarithmic function basics to mathematically model problems and derive solutions with emphasis on the use of technology and other tools.
This course enables students to develop relationship. They will also explore relationships that emerge from the measurement of three-dimensional objects and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multistep problems. Successful completion of this course prepares students for Principles of Mathematics, Grade 10, Academic (MPM2D) or Foundations of Mathematics, Grade 10, Applied (MFM2P). Learning through abstract reasoning is an important aspect of this course.
Math 285 - Final Exam Information (last updated May 5) Concepts and Theory You should be familiar with the following theoretical results: interpretation of a 1st order equation as a formula for the slope of solutions definition of exactness of M + Ny' = 0, test for exactness statement of the main existence and uniqueness theorem for higher order linear differential equations and its significance for problems we solve (i.e. how many initial conditions should we expect to impose, what intervals I in the indep variable x ensure existence and uniqueness, etc.) definition of linear independence and relationship with genuine constants statement of Theorem III on the Wronskian test for linear independence know the formulas for the coefficients in sine series, cosine series, and full Fourier series understand the convergence theorem for Fourier series (i.e.can you draw a graph of the function your series really represents?) know the relationship between even and odd functions and sine and cosine series, as well as even and odd extensions of functions know what is meant by an eigenvalue problem for a differential equation and what you are trying to find when you solve such a problem Techniques You should be proficient with calculations dealing with: identifying and solving 1st order separable equations (and solve for y if you can!)
"[N]ot your normal finance book....it actually is a mathematical tool chest illustrated with a boatload of finance examples....[P]rovides not only a review of the quantitative methods but a review, in a very applied way, of a great variety of financial topics as well....[F]inance professionals should be able to take the information in the book and apply it to their day to day lives."–Derivatives Strategist About the Author JOHN L. TEALL is Associate Professor of Finance at Pace University and has served on the faculties of New York University, Fordham University, Dublin City University and others. heart, April 9, 2006 | 09/04/2006 Very productive approach in learning finance bottom:0.5em;"> This excellent and practical book on quantitative finance has brought a new perspective in learning the subject by heart. It is pretty much differently productive way in capturing the subject by categorizing the lessons in term of relevant mathematical tools, instead of conventionally by particular financial topics. It just prepares the reader sufficiently to meet the mathematical understanding of each particular financial materials by incorporating the related examples, very practical though, that utilizes each quantitative tool for that associated chapter. One caveat to keep is that, the content is very concise, to the point and sufficient still, and leaves no room for overly explaination, if you need one. It will be, as the author regularly suggests, a very excellent supplement reading with your main finance text, whatever subject it is you are learning. It could also be conveniently kept as the handbook or quick refresher for practitioners, who needs to brighten up the basic concept in finance. One last thing to add, the book is quite basic and should be fully benefited and most valuable to the learner who only requires the material of early stage in learning finance seriously or want to study it in more quantitatively oriented fashion. It would be deemed suitable, or at the equivalent level to, for the person attending college with major in business or finance up to and including MBA (Finance / Economics), especially the one who plans to go beyond the master level. JAMES PURNELL | 01/11/1999 It actually is a mathematical tool chest illustrated with numerous finance examples. As such it provides a finance professional with a quick review of elementary probability and statistics, linear algebra, calculus (stochastic and normal) and numerical methods. Teall's method is to explain the basic mathematical concepts and then to illustrate those concepts with a variety of financial examples. For an applied finance professional, the book offers a solid review of various numerical methods and shows you how to apply them in a variety of settings. Incredibly, this is all done in under 250 pages. Between the explanations of the theory and the examples of the applications, finance professionals should be able to take the information in the book and apply it to their day to day lives. The book's brevity and focus on applied work are likely to make it more useful than longer more theoretical tomes.
The 56 activities in this collection give students the opportunity to directly experience, through dynamic visualization and manipulation, the topics covered in precalculus. It finishes with a dynami... More: lessons, discussions, ratings, reviews,... MathPoint is a suite of math tools for students in grades 6 through 12 and college including color graphing, graphing calculator and interactive solving, and an open library for lessons and activit...A user may enter math problems into the program and the output is a step-by-step solution. It's used primarily for solving expressions, relations, factoring, systems of relations, and other step-by-s... More: lessons, discussions, ratings, reviews,... Mathpad is a stand alone math text editor. For math teachers, it can be used to create math quizzes, tests, and handouts. Also you can save any math expression or text as an image for inclusion i... More: lessons, discussions, ratings, reviews,... The Vector Algebra Tools are a comprehensive set of vector algebra calculators that are specifically designed for the study of vectors and vector algebra applications in high school and first year of ... More: lessons, discussions, ratings, reviews,... Cram is test preparation software to use on a mobile device. It allows you to create, import, share, and study for tests. Cram is suited for studying for job training, certifications, homework help, t...With a scope that spans the mathematics curriculum from middle school to college, The Geometer's Sketchpad brings a powerful dimension to the study of mathematics. Sketchpad is a dynamic geometry cons... More: lessons, discussions, ratings, reviews,... All the familiar capabilities of current TI scientific calculators plus a host of powerful enhancements. Designed with unique features that allow you to enter more than one calculation, compare result... More: lessons, discussions, ratings, reviews,... TI-Nspire™ and TI-Nspire™ CAS handhelds and computer software provide students the option to use any of these as a stand-alone learning tool, at school and at home, extending the learning ... More: lessons, discussions, ratings, reviews,... Turn your iPad into a wireless whiteboard. Annotate PDF documents and images live. You can now project PDF documents (such as exported PowerPoint or Keynote decks) to a computer on the same local netw
The Mathematics Division is designed to help all students succeed. Almost every student attending Clark College will have to take some math classes to fulfill the requirements for their degrees or certificates. The Mathematics Division provides a variety of instructors, class meeting times, formats and extra help to accommodate our students' needs. Everyone can be successful in math! Everyone struggles with mathematics at some point, but with patience, practice and persistence we learn the principles and skills that will help us move to the next level. Advances in science, technology, social science, business, industry and government are all dependent upon precise analysis of data. A basic understanding of math is essential to all people who will be entering the job market. Benefits Students gain a better understanding of math concepts and processes, giving them the skills and experience necessary to succeed in college and in careers. Approximate Costs Costs to the student can widely vary. General tuition fees and textbook costs apply to every student taking a math course. A graphing calculator is generally recommended for student use. Costs for graphing calculators start at $115.00. Alternatively, students may borrow a graphing calculator form the Mathematics Division for one quarter at no cost.
Kenn Amdahl and Jim Loats, Algebra Unplugged (1995), is a humorous introduction that stresses concepts rather than formulas to motivate the uninitiated or befuddled to approach the subject. Peter H. Selby, Practical Algebra: A Self-Teaching Guide, 2nd ed., rev. by Steve Slavin (1991), an excellent first or refresher textbook, teaches through thousands of practice problems and review tests. Mildred Johnson, How to Solve Word Problems in Algebra, 2nd ed. (2000), presents a visual approach to solving many types of word
Good differential equations text for undergraduates who want to become pure mathematicians Alright, so I have been taking a while to soak in as much advanced mathematics as an undergraduate as possible, taking courses in algebra, topology, complex analysis (a less rigorous undergraduate version of the usual graduate course at my university), analysis, model theory, and number theory. That is, I have taken enough 'abstract' (proof-based) mathematics courses to fall in love with the subject and decide to pursue it as a career. However, I have been putting off taking a required ordinary differential equations course (colloquially referred to as 'calc 4', though this seems inappropriate) which will likely be very computational and designed to cater to the overpopulation of engineering students at my university. So my question is, for someone who might have to actually concern themselves with the theory behind the 'rules' and theorems which will likely go unproven in this low-level course (likely of questionable mathematical content), what might be a decent supplementary text in ODE? That is, something substantive to counter-balance the 'ODE for students of science and engineering'-type text I will have to wade through. I want to study algebraic geometry further (I have gone through Karen Smith's text and the first part of Hartshorne), so something which goes from basic material through differential forms and related material would be nice. Thanks! (and yes, it's embarrassing that I still haven't taken the 200-level ODE course, but I have been putting it off in favor of more interesting/rigorous courses... but now there's that whole graduation requirements issue). --Lambdafunctor
Analysis and Applications with MATLAB, 1st Edition ISBN10: 1-4018-6481-3 ISBN13: 978-1-4018-6481-1 AUTHORS: Stanley This text combines technical and engineering mathematical concepts at a basic level using MATLAB® for support and analysis. Once math concepts are introduced and understood using conventional techniques, MATLAB® is then used as the primary tool for performing mathematical analysis. Featuring practical technical examples and problems, the text is designed for math courses within an engineering technology or engineering program or any courses where MATLAB is used as a supporting tool. The text provides a review of differential and integral calculus with an emphasis on applications to technical problems
Accessibly written and easy to use, Applied Statistics Using SPSS is an all-in-one self-study guide to SPSS and do-it-yourself guide to statistics. What is unique about Eelko Huizingh?s approach is that this book is based around the needs of undergraduate students embarking on their own research project, and its self-help style is designed to boost... more... Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number generator simulates a physical process, such as a million rolls of a pair of dice. This is what Digital Dice is all about: how to... more... Introduces the latest techniques advocated for measuring financial market risk and portfolio optimization, and provides a plethora of R code examples that enable the reader to replicate the results featured throughout the book. Financial Risk Modelling and Portfolio Optimization with R: Demonstrates techniques in modelling financial risks and... more... This book includes step-by-step examples and case studies that teach users the many power tricks for analyzing data in Excel. These are tips honed by Bill Jelen, ?MrExcel,? during his 10-year run as a financial analyst charged with taking mainframe data and turning it into useful information quickly. Topics include perfectly sorting with one click... more... The Description Logic Handbook covers all aspects of the research in the field of knowledge representation. Written by some of the most prominent researchers in the field, and covering the basic technical material and implementational aspects, it is both a unique reference and a self-study guide. more... Balanced coverage of the methodology and theory of numerical methods in finance Numerical Methods in Finance bridges the gap between financial theory and computational practice while helping students and practitioners exploit MATLAB for financial applications. Paolo Brandimarte covers the basics of finance and numerical analysis and provides background... more... This book is a short, focused introduction to MATLAB. and should be useful to both beginning and experienced users. It contains concise explanations of essential MATLAB commands, as well as easily understood instructions for using MATLAB's programming features, graphical capabilities, and desktop interface. An especially attractive feature are the... more... With the spread of the powerhouse MATLAB software into nearly every area of math, science, and engineering, it is important to have a strong introduction to using the software. Updated for version 7.0, MATLAB Primer, Seventh Edition offers such an introduction as well as a "pocketbook" reference for everyday users of the software. It offers an intuitive... more...
Prerequisite: Strength in multiplications table, decimals and fractions. May be taken after Math 87(8th grade) or Algebra ½ (Pre-Algebra). Topics of Algebra 1/2 are more fully developed, with more emphasis on graphing, functions, sets, exponents and roots. Simplifying polynomial expressions, combining like terms, solving equations, interpreting word problems, and graphing linear equations is explored, and integrated with some basic Geometry concepts. Class time includes real-life applications, on-going review, introductions to new lessons, and some individualized instruction. (Thursdays we will cover all assignments for the week, and the Math lab is provided for additional personal instruction). Description: Develop familiarity with two- and-three dimensional objects and their properties, while making drawings and visualizing real-world applications . Includes the study of parallel lines, transversals, congruent triangles, polygons, area and volume, an introduction to constructions, proofs, similar figures, and circles and related figures. Deductive and inductive reasoning as well as investigative strategies in drawing conclusions are emphasized. (Tuesdays we will cover all assignments for the week, and the Math lab is provided for additional personal instruction). Description: Further development of algebra is integrated with probability, statistics, graphing a wide array of functions (linear, polynomial, radical, exponential, and conic sections), matrices, logarithms, & trigonometry concepts. Class time includes real-life applications, on-going review, introduction to new lessons, & some individualized instruction. (Tuesdays we will cover all assignments for the week, and the Math lab is provided for additional personal instruction). MATH LAB: Available to all students who have additional math questions or require additional persoassistance. Attendance is optional, and may be added to the schedule at any time during the school year. It can be thought of as blended tutoring, and students may work together in small groups. Calculator Information: calculators that show previous input can be very helpful at any level. Algebra 1– A calculator that can do square roots and exponents, at least. The TI-82 is a good investment for further math classes, and we will use many of the features in this course. Geometry– A calculator that has sin, cos, tan, and logfunctions, ideally TI-82. This class utilizes the website extensively (students may access Thelma-audio for difficult essays). Students can read along in their text as Mrs. English reads aloud and explicates the text. See for a one-hour audio "American Lit Audio Intro." All lectures are recorded. Parents welcome as space allows. This one-credit English course is designed to introduce the student to the life, poetry, and plays of William Shakespeare in an interactive, fun way. Major works will be studied to represent Comedy, History, and Tragedy. Plays include Much Ado About Nothing (plus film), The Merchant of Venice, Macbeth, As You Like It (plus film), A Midsummer Night's Dream (plus film), and Twelfth Night (plus film). Folger Edition plays will be read aloud for plot, character, and historical context familiarity. The 200-page Syllabus compliments weekly readings with additional insight from magazine articles, book excerpts, outlines, and cartoons! This is a dramatic, fun class! Most of the class time is filled with student dramatic readings, interspersed with commentary. Assignments are light: several short study guides (about 30 questions over four weeks) and quizzes. This is not a PowerPoint class. Students take parts each week and read aloud. WRITING FUNDAMENTALS (I unit)- Natalie Trust Monday 10:30-11:45 Grades: 8-12 Students will learn different writing formats beginning with a basic paragraph & moving to five paragraph essays & then to research papers. MLA format will be taught & used to document research. Class will include a unit on creative writing as well. Textbooks: Provided in class Tuition: $325/yr, $30 Book & Materials Fee Description: This course is designed to give a broad overview of God's creation covering a general study in Botany, Zoology, Genetics, Cellular Biology, Microbiology, and basic Chemistry of Life. A strong emphasis in field and lab activities coordinating with the text reading. Additional projects and laboratory experiences will be conducted. Field trips will be dispersed throughout the year and will occur on Mondays. Description: All general topics of Chemistry will be covered, to give the student ample preparation for future college-level courses. The metric system will be used, and unit conversion will require some algebraic manipulation. Enhanced experiments outside of those in the textbook will be conducted. Course begins with the basic building blocks of matter and measurement. We will introduce physics, work and energy, thermodynamics, electricity, magnetism, sound, light, optics, atoms, chemical compounds, mixtures and solutions. Every class meeting will include laboratory experiences, and reporting. This course should precede Chemistry and Physics. Description: All general topics of Physics will be covered, to give the student ample preparation for future college-level courses. The last five weeks will be devoted to basic electronics, beyond the textbook. The metric system will be used, and some problems will utilize basic trigonometry. Enhanced experiments outside of those in the textbook will be conducted. US HISTORY (I unit) - Randy Souders Wednesday 2:30-4:30, Grades: 8-12 A study of the United States history through text, maps, film, music, and lecture. Course to include founding of America to the present day. Come study exploration, wars, civil rights, music history, and 20th century events from a Christian perspective. Study will include weekly reading assignments, class discussions, quizzes, written & oral reports. Textbooks: Bob Jones US History, either of the last two editions. Tuition: $400 Material Fees: $25 GOVERNMENT & ECONOMICS –Mike Shrock Thursday 8:00-10:00, Grades 8-12 Description: With 2012 being a vital election year, students will get a first hand look at the American government system and the election process including a look at campaigns, media spin, the electoral college, and candidates. This course will look at the Biblical basis for the American form of government with an in depth look at the Declaration of Independence, the Constitution, the Bill of Rights, and the remaining Amendments. Students will get to act as Supreme Court justices and decide the important legal issues of the day such as abortion, Obamacare, and right to bear arms. The final quarter will focus on the American economic system of capitalism, basics of supply and demand, and how the government can effect the economy, inflation, and unemployment. Textbooks: 1) Exploring Government by Ray Notgrass and the test booklet. 2) The Declaration of Independence and Other Great Documents of American History This class is an Art Lab. The students may pursue a choice of curriculum including including Jr High or High School Drawing, Principles of Design, Color in Art or Watercolor. We can also design a curriculum to suit your student. I do require Drawing or a strong knowledge of drawing as a prerequisite for the other classes. For more information please feel free to contact me. I will send a supply list after we have chosen a curriculum for your student and I have received your registration. Tuition: $350 Materials Fee: $40 PUBLIC SPEAKING & DEBATE (I unit) - Marianne Martini Monday 8:00-10:00 Grades: 9-12 Students develop poise & confidence as they practice various types of public speaking and debate. Emphasis is given to practical speaking skills that will be useful as students move on to college or into a career, & the foundational principles found in God's Word. Textbooks: provided in class Tuition: $480 Book Fees: $60 In this FAITH-BUILDING, one-credit English, World History, or Bible course, students will read most of the Old Testament (20 chapters per week), exploring exegetical insights and archaeological evidence to understand the Old Testament narrative as a whole and validate its authority. Thelma's Master's studies in Exegetical Theology allow her to ENCOURAGE FAITH AND CONFIDENCE in young Bible students. Students will learn a basic outline of ancient history, highlights of each book, and become familiar with the Hebrew and Greek alphabets to enable them to use scholarly resources. Short weekly writing assignments (100 to 250 words minimum) are designed to reinforce basic elements of the reading: map skills, mini-biographies, dating key figures and events, question sets, definitions, lists of judges and kings, short poems, sixteen Hebrew vocabulary words, Psalms explication, artistic expression options, and memorization. Weekly PowerPoint presentations include: Learning the Hebrew alphabet, Grammatical-Historical Scholarship (how to be a Berean), Dating Abraham, Excavating Beersheba, Dating the Exodus, Excavating Jericho, The Wilderness Tabernacle, Feasts and Holidays, Judges Overview, Solomon's Temple, Kings Chapter by Chapter, Name of God, Assyria, Excavating Nineveh, Excavating Babylon, Persia, Book of the Twelve, Inter-Testamental History, and many more. The 200-page Syllabus compliments weekly readings with additional insight from magazine articles, book excerpts, outlines, and cartoons! Each two-hour weekly session is full PowerPoint. All lectures are recorded and all PowerPoints go online. Parents and non-disruptive siblings are welcome as space allows. Make this class your family Bible study, with class audio for those at home – or dads (students grades 7-12 pay tuition). Click here to see a Sample Schedule.
Newest Numeric Tool June 15th The Every-Purpose calculator, that can calculate all text formulae has had another update, allowing you to update equations even after the first calculation is complete, so you can easily investigate the effects of changes, or correct mistakes.
This on-line real estate math course is perfect for the student that is having difficulty with the math sections of the pre-license sales course and the pre-license broker course. This course will aid in the students' study, reviewing and preparing for the state exam. Students need to understand the basic math concepts in the license course, and this course does that. This course will help the student to have working knowledge and develop confidence solving math problems that are part of a successful agent's necessary knowledge to help their clients and customers in the real world of real estate. The course contains Reading Comprehension quizzes and Unit Exams that allow students to review and test themselves on information they have just read. The course can help students become more comfortable with arithmetic basics as they are used in the world of Real Estate. The course focuses on basic math concepts such as: fractions decimals percents using percent in real estate legal descriptions and area problems mortgage math real estate taxes appraising and investing calculations computations and closing statements To understand and learn the concepts the course has many: examples formulas calculations exercises Cooke offers this program in partnership with one of the largest real estate school providers in the United States, Dearborn Publishing's RECampus Program. This same type of program is offered by many other real estate schools for much more money. Below is the Course Link to the Math Real Estate Exam Prep. Just add to cart and go.
1. Thinking: Students engage in the process of inquiry and problem solving that involves both critical and creative thinking. Students will be exposed to the logic of mathematical proof Students will develop their problem-solving skills Students will use reasoned standards in solving problems and presenting arguments 2. Communication: Students communicate orally and in writing in an appropriate manner both personally and professionally. Students will develop their skills of written mathematical communication, specifically learning to properly use the language and notation of the Calculus Students will develop their verbal mathematical communication skills, both in small groups and in class discussions Students will read with comprehension and the ability to analyse and evaluate. Listen with an open mind and respond with respect Access information and communicate using current technology Students will justify their reasoning and provide precise, rigourous explanations for their work Students will model real life problems using differential equations and interpret the solutions of those equations in the appropriate real life setting Learn how to solve some theorems 3. Life Values: Students analyze, evaluate and respond to ethical issues from informed personal, professional, and social value systems. Students will see the importance of integrity regarding their own scholarship Listen with an open mind and respond with respect Understand the need to do one's own work, to honestly challenge oneself to master the material 4. Cultural Skills: Students will explore the importance of differential equations in sciences and various applications as well as become familiar with some elements of the historical development of the field 5. Aesthetic Skills: Students will Develop an appreciation for the austere intellectual beauty of deductive reasoning Develop an appreciation for mathematical elegance 6. Community Involvement: Students demonstrate skills of interdependent group participation and decision-making. Students will work in groups, learning to share their ideas and skills, and respecting the ideas and skills of others Specific Course Goals: Students will explore the problems that lead to differential equations Students will learn to solve basic types of first order differential equations that can be done in closed form. Students will learn to solve linear differential equations with constant coefficients Students will learn to construct and interpret geometrical interpretations of differential equations. Become familiar with basic existence and uniqueness theorems explore more advanced techniques of solving differential equations Investigate systems of differential equations Assessment Procedures: Semester grades in this course will be awarded according to a standard scale: 675—750pts (90% and above) = A 600—674pts (80%--89%) = B 525—599pts (70%--79%) = C 450—524pts (60%--69%) = D Less than 450pts (Below 60%) = F Semester grades are calculated purely on a points basis, that is, the letter grades you earn on individual exams are purely guidelines for you to gauge your progress. For example, if you miss a particular grade on an exam by a certain number of points, it is still possible to make up those points (and get into that grade bracket) in other parts of the course, perhaps on the next exam. On the other hand, just because you got a good grade on one test, you should realize that you can lose enough points to get into a lower grade bracket by doing poorly in another area of the course. Once again: it is points that count. Homework questions 100 pts. (Full credit is given for each completed assignment) Homework will be due one class week after it has been assigned. Any questions regarding how to do particular homework problems will be welcomed in the intervening class meetings or in my office but not in class on the day that the homework is due. Late homework will be penalized by a deduction of 20% of the assigned grade for each schoolday -- including schooldays on which class does not meet – that the work is late, so that, if the work is one week late, it will not receive any points. You may, however, still hand the work in so that you can benefit from corrections and be certain you know how to do a question that could well appear on an exam Practice Exams 100 pts There will be four group practice exams worth 25 pts apiece before each in class midterm and before the final exam Examinations 300 pts There will be three in class exams worth 100 pts apiece, and lasting 50 minutes each. Participation 50 pts Participation points are easy to acquire and you probably already know how to get them; don't chat to your neighbors when I'm lecturing (asking a neighbor to help if you didn't understand what I said is, however, always acceptable). General politeness counts. Cheerfulness, engagement, willingness to push buttons on your calculator, asking me to clarify if you are stuck, taking advantage of my office hours, these are all, to quote the Sound of Music, a few of my favorite things. Cumulative Final Examination 200 pts Total 750 pts Attendance Policy: You can afford to miss no more than the equivalent of one week of class. Any more absences are a dangerous loss of classtime percentage. Once you have had 3 unexcused absences, every unexcused absence from that point onward will incur a penalty of 10 pts from your participation and attendance score. Make up exams situations will be considered on a case-by-case basis, but invariably they require as much forewarning as possible -- and documentation. You know when the exams are; please do not book flights home, or your wedding, etc, etc on those dates. If your, or your best friend's, or your uncle's hairdresser's poodle's (if you're from the Coast) wedding is already booked for any of those dates, please let me know ASAP. I will not give make up tests without good reason, and if you should miss a test that is not made up, your score for that test will be zero. The sad fact is that it is a rare semester when some student doesn't have to rush home to tend a family crisis, or bury a loved one. Often this interferes with exams. Should such sadness happen to you, I will need to ask you for some sort of verification (obituary, hospital record, etc) and then we will try to get your semester moving again. Homework: Let me urge you to make it a regular part of your day to try working the homework problems. There will never be enough time for us to go through every listed problem in class, and it is probably unrealistic to think that you will be able to find the time to work through every listed problem, but you should at least spend some time thinking about virtually every problem, and working the more interesting or challenging to completion. The daily homeworkYou should view homework assignments as a test to see how well you understand the material and you should bring to the next class any questions you might have. However, from time to time, certain homework problems will be assigned and collected as mentioned above. I will award semester points for homework by calculating the percentage you got on all assigned homework and awarding this as a score out of 100pts Americans with Disability Act
Orchard Learning Algebra - Algebra Made Painless Bundle Please Note: Pricing and availability are subject to change without notice. Algebra Made Painless Bundle Algebra Made Painless Bundle includes Signed Numbers and Intro to Solving Algebraic Word Problems bundled together for savings. Ideal for students of all abilities but most effective with struggling students. Includes management for record keeping and reports. Using humor, this interactive program guides students to mastery of signed numbers. Elevators, thermometers and other devices introduce students to signed numbers. Then students practice using them, and finally a graded quiz evaluates their understanding of the subject. On-line formulas, screens, and a glossary add to the program's usefulness.
Description A Mathematical Introduction to Logic, Second Edition , offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets. Increased flexibility of the text, allowing instructors more choice in how they use the textbook in courses. Reduced mathematical rigour to fit the needs of undergraduate students Recommendations: Save 3.09% Save 26.7% Save 3.63% Save 19.24% Save 2.56% Save 3
...Algebra is a very powerful tool in multiple situations, so it's well worth the effort to make it work for you. Repeat - work for you - not scare you. Algebra 2 kicks in with much more powerful analysis tools to describe and evaluate real-life situations in hundreds of scientific disciplines.
Posts Tagged 'microsoft mathematics 40' Microsoft Mathematics made to help student learn to solve equations step-by-step, while gaining a better understanding of fundamental concepts in pre-algebra, algebra, trigonometry, physics, chemistry and calculus. From basic math to precalculus, Microsoft Mathematics includes tools and features to help you achieve a better understanding of fundamental concepts and visualize mathematical concepts in new ways.
Newman's mathematics department seeks to guide the student's transition from elementary and middle school mathematics to the more demanding college level math. The traditional courses of algebra, geometry, trigonometry and calculus are offered as a means to this end. Year after year, the student will continue to gain the mathematical abilities necessary to excel in our increasingly technological society. While general fluency in calculation is one of these abilities, mathematics also fosters a creative and logical mentality that will benefit the student in all aspects of life. This is perhaps most noticeable in geometry, where the concept of proof occupies a central role. Upon successful completion of this program, the Newman graduate will be well equipped for college. IB Math Studies SL This course covers a wide variety of topics and is designed for students who have already taken algebra and geometry. Students who have a serious interest in mathematics or who plan to major in a scientific field should take either the SL or HLcourse. Topics include an introduction to naïve set theory, logic, functions including topics such as domain, range, one to one, inverse functions, graphing and shifting graphs, the algebra of functions, quadratic equations, full coverage of trigonometry including the law of sines and law of cosines from first principles, probability and statistics, basic coverage of differential calculus, and more. IB Math HL This is the most challenging math course offered and should only be taken by someone with a significant interest in math who will likely go on to study mathematics, engineering, physics, and so on. Students are expected to be fully comfortable with Algebra and Geometry before entering. Topics include a rigorous coverage of functions, including concepts such as domain, range, one to one, onto, inverse functions, and the algebra of functions, a detailed study of complex numbers,two and three dimensional vectors, lines and planes in space, matrices and linear algebra, determinants, full coverage of trigonometry including the law of sines and law of cosines from first principles, coverage of calculus comparable to an AP course, counting techniques, and probability and statistics. IB Math SL This course is an extension of Algebra, Geometry and Trigonometry with the inclusion of a unique set of definitions. This course deals with domain, range, inversefunctions, sequence, Binomial expansion, Matrices, Vectors in 2 and 3 dimensions,Integration and Application of integration ,probability and statistics, basic coverage of differential calculus and more. Class time will be used to review homework questions, introduce "new" concepts, discuss the significance of the concepts, and apply the concepts to solve problems. In addition to learning concepts and solving problems, the students will learn to become comfortable with presenting their problems solving in a methodical manner.
AlgeFactors v3.2 Software for the teaching and learning of algebraic factors, the factorisation (factoring) of algebraic expressions, especially trinomials. Students can practise using the "cross" method with the program, which provides extensive explanations and guidance. It includes formulas for factorising perfect squares and difference of two squares. Preliminary practices with simple sums to help understanding are provided. Can generate hundreds of sums for drills (up to 200 per session). Step by step guide for beginners to ensure they get the correct answers. Students can key in their own sums and let the interactive guide help them do their homework. Two players may compete using one computer. It marks the sums automically and can print a detailed report after each session.
If you have high school students, High School Success 2005 is a great product that will expand your student's horizons. This computer program includes 27 different high school subjects on 15 CD-ROMs and 1 DVD disc. It covers everything from how to compose a letter and the works of Emily Dickinson, to algebra, geometry and trigonometry, basic vocabulary and structure in eight foreign languages, biology, chemistry, physics, ancient history and computer skills, just to name a few. There are also two bonus CD-ROMs: College Profiles and Kaplan Essential Review of Writing and Vocabulary. Each of the subjects has self-paced tutorials with text, history of the topic, animated activities, practice exercises, help functions and quizzes to test your understanding. The programs are easy to navigate and engaging, with lots of pictures, videos, animations, etc. Many concepts, especially in science, can be made clearer with the use of animations, and this program uses them very effectively. The text is interesting and easy to understand, building from the basics to much more advanced topics. The quizzes allow the student to see what was missed and offers explanations about why the correct answer is correct. While I don't think this program would be nearly sufficient for a complete high school education, it would be an excellent supplement, especially for history, language arts, math courses such as algebra, geometry and trigonometry, and science classes such as biology, chemistry and physics. For example, I think most students would find the math sections very comprehensive and understandable, but would probably need more practice exercises to really master the topics. The same is true for the science classes, which would also likely need a lab component to adequately cover the topics and allow further exploration. I was very impressed with the depth and breadth of materials, the high quality of the computer animations and programs, and the overall value for the price!
The Mathematics Department in the College of Natural Sciences offers two different calculus sequences, each of which covers the same material, but at a different pace. All courses consist of 3 hours of lecture/week and 2 hours of discussion. Students are expected to attend all 5 hours. The first semesters of these sequences have different ALEKS assessment requirements. Please read on to see which might fit your circumstances as you begin your study of the calculus at UT. M408C is the first semester in the accelerated two-semester sequence (M408C/D). This course moves approximately three times as fast as a high school calculus course. In order to be successful in this intense class, you will need to be outstanding in your mathematical skill, and should have already taken calculus in high school. Examples of such students include those who did well on their AP exams, but in order to solidify their understanding did not claim the calculus credit they earned, and students who have always excelled in and enjoy the challenges of mathematics. Students have to be willing to put in the extra effort required to move at such a rapid pace through difficult material. You must earn an 80% or better on ALEKS to take this course. M408N/ M408K is the first semester in the standard three-semester sequence (M408N/S/M for CNS students, M408K/L/M for non-CNS students). This course moves approximately twice as fast as a high school calculus course. In order to be successful in this class, you need to be confident of your algebra and trigonometry skills and your functions and logarithm skills. As the semester progresses, you need to independently strengthen any areas in which you find you are weak. While we teach the course assuming you have not had calculus before, data indicates that those with previous calculus coursework are more often successful. Examples of such students might include those who took calculus in high school, but scored low on the AP exam or did not take the exam; and students who have always enjoyed mathematics, and made excellent grades in all math classes, including an A in precalculus, but who did not take calculus. You must earn a 70% or better on ALEKS to take this course. No matter which calculus sequence you choose, you will find university-level calculus unlike your high school calculus courses in several ways. Material is covered more rapidly, and you must spend 8-10 hours outside the classroom in order to learn the material. It is expected that you precisely articulate the mathematics you are using. It is expected that you understand the concepts as well as work problems. Further, grades are determined almost entirely by 3-4 exams, and you must be capable of recognizing your own weaknesses and asking for assistance. Perhaps most importantly, it is essential that you are self-motivated – you will not have anyone looking over your shoulders to ensure you are doing enough work to gain the skills and understanding required to do well in the course.
Introduction to Mathematical Thought: From the Discrete to the Continuous MATH 111 SP In this course we seek to illustrate for the students several major themes. One of the most important is the fact that mathematics is a living, coherent discipline, a creation of the human mind, with a beauty and integrity of its own that transcends, but, of course, includes, the applications to which it is put. We will try to provide a somewhat seamless fusion of the discrete and the continuous through the investigation of various natural questions as the course develops. We try to break down the basically artificial distinctions between such things as algebra, geometry, pre-calculus, calculus, etc. The topics will be elementary, particularly as they are taken up, but will be developed to the point of some sophistication. One challenge to the students will be to assimilate their previous experience in mathematics into this context. In this way we hope and expect that some of the beauty will show through. MAJOR READINGS Notes will be provided. There may be additional readings as well. EXAMINATIONS AND ASSIGNMENTS The focus of the course will be on weekly homework and in-class discussions. ADDITIONAL REQUIREMENTS and/or COMMENTS This course is a First-year initiative course, open only to first-year students. Sophomores may be allowed to add the course if it is not full. Since the flow of ideas in the course is one of its fundamental features, class attendance is required. The course carries an NSM designation.
Sterrett Prealgebra Quickbooks-Certified Instructor for Quickbooks, in addition to being a CPA. You are welcome to contact me any time for help with any COMPUTER issues. I have ALL of the study guides for the Praxis examsFor example, René Descartes introduced the cartesian plane. Legend has it that Descartes discovered this coordinate system when lying in his bed and watching a bug move across the ceiling. He became motivated to describe the movement of that bug -- hence the cartesian plane.
Elementary and Intermediate Algebra A Combined Course 9780495108511 ISBN: 0495108510 Edition: 3 Pub Date: 2007 Publisher: Thomson Learning Summary: Algebra is accessible and engaging with this popular text from Charles "Pat" McKeague! ELEMENTARY AND INTERMEDIATE ALGEBRA is infused with McKeague's passion for teaching mathematics. With years of classroom experience, he knows how to write in a way that you will understand and appreciate. McKeague's attention to detail and exceptionally clear writing style help you to move through each new concept with ease. Real-w...orld applications in every chapter of this user-friendly book highlight the relevance of what you are learning. And studying is easier than ever with the book's multimedia learning resources, including ThomsonNOW for ELEMENTARY AND INTERMEDIATE ALGEBRA, a personalized online learning companion
May 6, 2009 Today some homeschoolers had their weekly algebra class. They are coming along well, and getting a good grasp of the subject. After class and after I got home, I sent them their assignments for the week. In today's email, however, I decided to add some detail as to what we covered in class — sometimes I'll write up a summary like this, sometimes I won't. So sometimes parents get a good, detailed, written report of what a class or a student in private tutoring covered. But this email sketches out what typically happens in my classes and private tutoring sessions, so I decided to post it. (But in this post I added a few things to the email to illustrate more of what we had actually done in class, instead of reporting only some of the highlights.) Students: Today we started class by looking at one reason why we need to learn to graph linear inequalities (which topic we covered last week): so we can graph, evaluate, and criticize the graphs we use and find in statistics. Graphs of inequalities play an important role in statistics. Then we worked an inequality together: p. 434 #22. Then instead of doing more inequalities, we started working on graphing linear systems, to make sure we'd have time to cover that topic first. We started out with some motivation: knowing how to find points of intersection is a critical part of understanding how some people navigate, or locate a position on the earth's surface, using LORAN. LORAN works by finding the intersection of two hyperbolas, as we saw in class. We are not yet ready for working with hyperbolas or systems of hyperbolas, of course; we need to work with lines first. We will build up to hyperbolas one step at a time. (In looking at the LORAN example, we were able to introduce some classic properties of hyperbolas, ellipses, and circles, so we had an idea how a hyperbola was generated and how it was different from other conic sections. And we were able to see how LORAN depends on the basic idea D = RT.) In some back-and-forth correspondence, a parent of a student I tutor and I segued from paleo nutrition and exercise to independence and to tutoring; we ended up coming up with a (hypothetical, in fun) new business name, and the parent came up with a good explanation of the name and a good slogan to go with it, too! The parent said: I kind of like that….Lone Wolf Tutoring – Setting the Gold Standard in Education … Meant in an entirely positive, Paleo way. Strong in mind and body, individual, not following the pack, wise, self-sufficient, hunter…… you get the idea. Quite fitting for you, I think. I like it. There's a Lone Wolf Productions film company…so why not Lone Wolf Tutoring? Update (5-7-09, 2:10 PM): I am only being rhetorical. I like the name when looked at as above, when looked at as a dignified appelation, but I don't think the name would go over and be practical in today's context, where "lone wolf" is a pejorative.
Book Description: An excellent choice for Canadian schools, with increased use of the metric system, and packed full of Canadian examples and exercises! Mathematics for the Trades provides the practical mathematical skills needed in a wide variety of trade and technical areas, including electronics, auto mechanics, construction trades, air conditioning, machine technology, welding, and drafting. The authors use a clear and easy-to-follow format which provides immediate feedback for each step the student takes to ensure understanding and continued attention. There is an emphasis on explaining concepts rather than simply presenting them. Buyback (Sell directly to one of these merchants and get cash immediately) Currently there are no buyers interested in purchasing this book. While the book has no cash or trade value, you may consider donating it
Finite Mathematics - 2nd edition Summary: The Second Edition of this engaging text for the one-semester finite mathematics course continues to use intriguing, real-world applications to capture the interest of business, economics, life science, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers. Summaries and reviews appear freque...show morently throughout the text to support students' mastery of mathematical concepts. A wealth of pedagogy includes the following distinctive features: detailed Worked-out Examples with Annotations help students through more challenging concepts; Practice Problems are offered to help students check their understanding of concepts presented in the examples; Section Summaries briefly restate essential formulas and key concepts; Chapter Summary with Hints and Suggestions unify chapter themes, give specific reminders, and reference problems in the review exercises suitable for a practice test; and Cumulative Review Exercises appear at the end of groups of chapters to reinforce previously learned concepts and skills. Graphing Calculator Examples and Exercises located throughout the text explore new topics, guide students through "messy" calculations, or show technology pitfalls. These are optional and may be omitted without disrupting the flow or cohesion of the text. Application Previews place mathematics in a real-world context and motivate students' interest in the material. Some examples of the diversity of applications covered include sports, genetic engineering, spread of disease, gambling, business, and environmental issues. Annotations beside many formulas and solution steps emphasize the importance of being able to "read mathematics" by restating much of the mathematics in words. All text is legible, may contain markings, cover wear, loose/torn pages or staining and much writing. SKU:9780618372218-5-0 $14.99 +$3.99 s/h Acceptable SellBackYourBook Aurora, IL 061837221014.99 +$3.99 s/h Acceptable SellBackYourBook Aurora, IL 0618372210 HAS SOME LIQUID DAMAGE TO PAGES!! Still readable and usable but in really rough shape! All day low prices, buy from us sell to us we do it all!!
Apps for DSPM 0700: Math/Science Camp Math/Science Camp Mathematics Division Links The Math Lab works to provide students access to a variety of resources via the internet. These include podcasts by our faculty and staff, PowerPoint lectures, YouTube video links, Khan Academy video links, web page links, and handouts. Our goal is to put as many tools in the student's "tool belt" of learning as we can. Review Topicsgives students who have been away from math a while the opportunity to review many arithmetic and algebra topics. Calculator Tutorialsincludes podcasts on using the Texas Instruments TI 83 and TI 84 graphing calculators. Course Resourcesprovides materials for specific topics in each of our developmental and college-level mathematics courses. Students can access these pages from home, from the library, or from their own mobile devices. We strive to ensure that the links are as mobile friendly as possible. We consider these pages works in progress. Our ultimate goal is to expand these web pages to include resources not only for students but also for the general public.
How Are Polynomials Used in Everyda... Of Limited Power Unfortunately, factoring is not a powerful tool, which limits its use in everyday life and technical fields. Polynomials are heavily rigged in grade school so that... Finance Assessment of present value is used in loan calculations and company valuation. It involves polynomials that back interest accumulation out of future liquid transactions, w... What Are Exponents? Exponents are a shorthand for calculating the multiplication of a number by itself several times. The exponent tells you how many times to multiply the number. ... Microsoft Excel has been known as a powerful piece of software for personal finances, budgeting, accounting and data analysis. You can use a spreadsheet in everyday life in things ...
Analytical solutions of several problems of solid mechanics with the theory of isotropic linear elasticity. Use the theory of strength of materials to solve statically determinate or indeterminate beam problems. Main themes The objective of this course is to show how the theory of isotropic linear elasticity enables to solve a large class of problems stemming from the design of structures and equipments. Although the majority of industrial problems are solved nowadays with numerical software, it is essential that the student first learns how to solve analytically a number of simple problems and understands their physics. This is why the course will develop solutions related to bending, torsion, thermal stresses, buckling, etc. The theory of beams, commonly known as strength of materials, is a simplified theory which represents a very important particular case. Some methods for computing statically determinate or indeterminate beam structures are presented and several examples are studied.
Mathematics Page Content MATH 100. Basic College Mathematics (3; F/S) Three hours per week. This course may not be used to satisfy the University's Core mathematics requirement. Students may not enroll in this course if they have satisfactorily completed a higher numbered MATH course. An overview of basic algebraic and geometric skills. This course is designed for students who lack the needed foundation in college level mathematics. A graphing calculator is required. MATH 104. College Algebra (3; F/S) Three hours per week. Prerequisite: MATH 100. This course may not be used to satisfy the University's Core mathematics requirement. Qualitative and quantitative aspects of linear, exponential, rational, and polynomial functions are explored using a problem solving approach. Basic modeling techniques, communication, and the use of technology is emphasized. A graphing calculator is required. MATH 110. The Mathematics of Motion & Change (3; F/S) Three hours per week. Prerequisite: MATH 104. A study of the mathematics of growth, motion and change. A review of algebraic, exponential, and trigonometric functions. This course is designed as a terminal course or to prepare students for the sequence of calculus courses. A graphing calculator is required. MATH 112. Modern Applications of Mathematics (3; F/S) Three hours per week. Prerequisite: MATH 104. Calculus concepts as applied to real-world problems. Topics include applications of polynomial and exponential functions and the mathematics of finance. A graphing calculator is required. MATH 140. Calculus I (4; F/S) Four hours per week. Prerequisite: A "C" or better in MATH 110. Rates of change, polynomial and exponential functions, models of growth. Differential calculus and its applications. Simple differential equations and initial value problems. A graphing calculator is required. MATH 141. Calculus II (4; F/S) Four hours per week. Prerequisite: A "C" or better in MATH 140. The definite integral, the Fundamental Theorem of Calculus, integral calculus and its applications. An introduction to series including Taylor series and its convergence. A graphing calculator is required. MATH 150. Introduction to Discrete Structures (3; S) Three hours per week. Prerequisite: A "C" or better in one of MATH 110, MATH 112 or MATH 140. An introduction to the mathematics of computing. Problem solving techniques are stressed along with an algorithmic approach. Topics include representation of numbers, sets and set operations, functions and relations, arrays and matrices, Boolean algebra, propositional logic, big O and directed and undirected graphs. MATH 199. Special Topics (var. 1-4) May be repeated for credit when topic changes. Selected topics of student interest and mathematical significance will be treated. MATH 206. Statistical Methods in Science (4; S) Four hours per week. Prerequisite: A "C" or better in MATH 140. Credit cannot be awarded for both MATH 205 and MATH 206. Concepts of probability, distributions of random variables, estimation, hypothesis testing, regression, ANOVA, design of experiments, testing of assumptions, scientific sampling and use of statistical software. Many examples will use real data from scientific research. A graphing calculator is required. MATH 220WI. Mathematics & Reasoning (3; S) Three hours per week. Prerequisite: ENGL 103 and a "C" or better in MATH 141. Fundamentals of mathematical logic, introduction to set theory, methods of proof and mathematical writing. MATH 306. Regression & Analysis of Variance Techniques (3; S ODD) Three hours per week. Prerequisites: A "C" or better in MATH 141, and a "C" or better in either MATH 205 or MATH 305. Theory of least squares, simple linear and multiple regression, regression diagnostics, analysis of variance, applications of techniques to real data and use of statistical packages. MATH 307. College Geometry (3; S ODD) Three hours per week. Prerequisite: A "C" or better in MATH 141. A critical study of deductive reasoning used in Euclid's geometry including the parallel postulate and its relation to non-Euclidean geometries. MATH / PHIL 330. Symbolic Logic (3; F EVEN) Three hours per week. A study of modern formal logic, including both sentential logic and predicate logic. This course will improve students' abilities to reason effectively. Includes a review of topics such as proof, validity, and the structure of deductive reasoning. MATH 351. Applied Mathematics (3; F) Three hours per week. Prerequisite: A "C" or better in both MATH 300 and MATH 331. Advanced calculus and differential equations methods for analyzing problems in the physical and applied sciences. Calculus topics include potentials, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. Differential equations topics include series solutions, special functions, and orthogonal functions. MATH 354. Introduction to Partial Differential Equations and Modeling (3; S ODD) Three hours per week. Prerequisite: A "C" or better in both MATH 300 and MATH 331. Modeling problems in the physical and applied sciences with partial differential equations, including the heat, potential, and wave equations. Solution methods for initial value and boundary value problems including separation of variables, Fourier analysis, and the method of characteristics. MATH 400SI. History of Mathematics (3; S EVEN) Three hours per week. Prerequisite: A "C" or better in MATH 220WI and junior or senior status. This course may not be used to satisfy the University's Core mathematics requirement. A study of the history of mathematics. Students will complete and present a research paper. Students will gain experience in professional speaking. MATH 411. Introduction to Real Analysis (3; F EVEN) Three hours per week. Prerequisite: A "C" or better in both MATH 220WI and MATH 300. Foundations of real analysis including sequences and series, limits, continuity, and differentiability. Emphasis on the rigorous formulation and writing of proofs. MATH 440. Special Topics (var. 1-3) Prerequisite: A "C" or better in MATH 220WI or consent of the instructor. May be repeated for credit when topic changes. Selected topics of student interest and mathematical significance will be treated. MATH 501. Introduction to Analysis (3) Three hours per week. A study of real numbers and the important theorems of differential and integral calculus. Proofs are emphasized, and a deeper understanding of calculus is stressed. Attention is paid to calculus reform and the integrated use of technology. MATH 502. Survey of Geometries (3) Three hours per week. An examination of Euclidean and non-Euclidean geometries. Transformational and finite geometries. MATH 503. Probability & Statistics (3) Three hours per week. Probability theory and its role in decision-making, discrete and continuous random variables, hypothesis testing, estimation, simple linear regression, analysis of variance and some nonparametric tests. Attention is paid to statistics reform and the integrated use of technology. MATH 504. Special Topics (3) Three hours per week. May be repeated for credit when topic changes. Course content will vary depending on needs and interests of students. MATH 507. Number Theory (3) Three hours per week. An introduction to classical number theory. Topics include modular arithmetic, the Chinese Remainder Theorem, primes and primality testing, Diophantine equations, multiplicative functions and continued fractions. MATH 510. Seminar in the History of Mathematics (3) Three hours per week. Important episodes, problems and discoveries in mathematics, with emphasis on the historical and social contexts in which they occurred. MATH 515. Combinatorics (3) Three hours per week. A survey of the essential techniques of combinatorics. Applications motivated by the fundamental problems of existence, enumeration and optimization. MATH 520. Linear Algebra (3) Three hours per week. Applications of concepts in linear algebra to problems in mathematical modeling. Linear systems, vector spaces and linear transformations. Special attention will be paid to pedagogical considerations. MATH 531. Theory of Ordinary Differential Equations (3) Three hours per week. Existence and uniqueness theorems. Qualitative and analytic study of ordinary differential equations, including a study of first and second order equations, first order systems and qualitative analysis of linear and nonlinear systems. Modeling of real world phenomena with ordinary differential equations. MATH 600. Thesis Seminar (var. 1-3) One to three hours per week. Research guidance. May be repeated for credit up to a total of three semester hours. MATH 699. Thesis Preparation and Research (1) Master of Arts in Mathematics students who have not completed their thesis and are not enrolled in any other graduate course must enroll in MATH 699 each fall and spring semester until final approval of their thesis. This course is Pass/Fail and does not count towards any graduate degree.
In Algebra for Students, students will learn about the power of algebra as a tool for representing, analysing and generalising situations, and will explore several functions, including linear, quadratic and exponential... This humorous computer-animated programme entertains as it informs, linking statistics to the theory of probability, predictability and the law of large numbers, using such examples as the throwing of two die and calculating the number of hospital beds needed for accident victims... This computer-animated programme takes students on a journey through space into the parallel universe of Polyhedra. It explores in detail each of the five platonic solids, from their heritage to construction of the individual shapes through to their duals... This remarkable, computer-animated programme traces the development of Mans efforts to measure time, from the Ancient Babylonians, Egyptians and Romans to the present day. Students will learn of the many myths and miscalculations that have had to be dispelled before arriving at today's Gregorian calendar... But why do I need maths? - Mathematics is necessary to get the job done in most technical fields, including auto mechanics, electricity/ electronics and the building trades. Introduction to Maths Technology provides a useful overview before progressing to specific topics... This series provides a creative, fun-filled approach to the teaching of algebra, geometry and statistics. The ''game show'' format keeps young students involved as they learn maths concepts and skills, whilst special ''break-away'' segments underscore mathematics'' real-world connections... This Disney animated classic gives viewers a new perspective on mathematics as Donald Duck guides them through the land of adventure - Mathmagic Land! They discover the value and importance of mathematics to everyday living and, as Donald learns the significance of mathematics from the time of the Greeks, viewers witness how mathematical principles influence science, art, music, architecture and even sports
This course of study includes an emphasis on problem-solving and communication skills. Competency in basic math skills is expected. Topics of study include data representation, equations, inequalities, linear and quadratic functions, graphing systems, rational expressions, relations and functions, and geometry. A scientific calculator is required. PERMISSION Copyright Notice: No materials on any of the Bellingham Schools' web pages may be copied without express written permission unless permission is clearly stated on the page.
Full description for IGCSE Maths CIE (Cambridge) Workbook This book is packed with practice questions for students taking Cambridge (CIE) IGCSE Maths, or the Cambridge Level 1 / Level 2 Certificate in Maths. It thoroughly covers all the topics, at both Foundation and Higher levels, for the current exams with a range of exercises to test your maths skills. The answers come in a separate book (9781847625595). Matching study notes and explanations are also available in the CGP Revision Guide (9781847625571).
Search Course Communities: Course Communities Probability Course Topic(s): Probability | Basic Probability, basic rules This is a brief article on probability that includes interpretations of probability and a few probability rules: the addition rule, the inclusion-exclusion rule, and the law of total probability. There are links to related Wolfram MathWorld articles.
AQA GCSE Maths – Practice book sample pages for 2010 Specification Description: This sample is taken from the new AQA GCSE Maths practice book, this chapter covers Arcs, Cones and Spheres, and sectors of arcs and cones. It also indicates to the student which questions, if answered… (More) Description: This sample is taken from the new AQA GCSE Maths practice book, this chapter covers Arcs, Cones and Spheres, and sectors of arcs and cones. It also indicates to the student which questions, if answered correctly would give the student an A and differentiates this from an A* answer. To see more sample material or order your FREE Evaluation pack, simply visit us now at
Book Description: Focused especially for use by students on the middle-to-high school level, this quick-reference source is helpful to anybody who needs to know the meaning of math terms in clear, simple language. An opening alphabetized Wordfinder index contains more than 1,000 words, and directs readers to the page where the word is defined. Where needed, the definition is accompanied by examples. The book also features helpful illustrative diagrams--or instance, a full page demonstrating the geometry of the circle, another page showing quadrilateral geometric shapes, and still others showing ways of charting statistics, measuring vectors, and more. Here is an imaginative new approach to mathematics, a great classroom supplement, a useful homework helper for middle school and high school students, and a reference book that belongs in every school library.
The course was designed with the goal that a student completing the course will have a thorough knowledge of the most basic and essential math skills as well as develop skills for critical thinking and problem solving. Throughout this course you will be manipulating numbers in a way that will help you understand how to use them on paper as well as everyday life. The course is designed to help you realize the importance of mathematics. It is my hope that you will take the skills that you learn and begin to utilize them in your daily life.
For many people Algebra is a difficult course, it doesnt matter whether its first level or engineering level, the Algebra Buster will guide you a little into the world of Algebra. Ashley Logan, AZ The complete explanations, a practical approach, low price and good assignments make it my best professional tutor. Leilani Jekar, CA The step-by-step process used for solving algebra problems is so valuable to students and the software hints help students understand the process of solving algebraic equations and fractions. L.Y., Utah I have never been so confident with algebra before this. I will surely recommend Algebra Buster to all my friends29: how to solve the Radical Equation P=1500 square root of t+0= how to do complex fractions and equations linear equations calculator how do you solve an equation by subsitution prentice hall year ends algebra sample tests rational expressions simplify math expressions calculator creative publications algebra with pizzazz algebra software reviews Solving equations and inequality solving two step equations with fractions simplifying algebraic expressions writing an expression containing rational exponents as a single product
Description The.... Expand Educators consider the Problem Solvers the most effective series of study aids on the market. Students regard them as most helpful Covers topics in plane and solid (space) geometry. Pictorial diagrams with thorough explanations on solving problems incongruence, parallelism, inequalities, similarities, triangles, circles, polygons, constructions, and coordinate/analytic geometry. An invaluable aid for students.Collapse
An introduction to geometric concepts and tools needed for solving problems of a geometric nature with a computer. It offers theoretical understanding of polynomial curves and surfaces. The focus of this book is on "blossoming"--the process of converting a polynomial to its polar form--as a natural, purely geometric explanation of the behavior of curves and surfaces. The book covers computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision and motion planning.
StarsSuite prevents "domino effect" at Southern Arizona High SchoolRead More Precalculus (1 credit) Precalculus is a full-credit course that builds on algebraic concepts to prepare students for calculus. The course begins with a review of basic algebraic concepts and moves into operations with functions. Students will manipulate functions and their graphs. Precalculus also provides a detailed look at trigonometric functions, their graphs, the trigonometric identities, and the unit circle. Finally, students will be introduced to polar coordinates, parametric equations, and limits. (29 lessons and submissions, 4 exams) What People are Saying "With EdOptions you just have a lot of possibilities" - Jacqui Clay, Educator (AZ)
Course Description Boy's High school course descriptions: Mathematics ALGEBRA I Algebra I provides a formal development of the algebraic skills and concepts necessary to succeed in advanced courses. In particular, this course teaches the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course. Topics include: (1) operations with real numbers, (2) linear equations and inequalities, (3) relations and functions, (4) polynomials, (5) algebraic fractions, and (6) nonlinear equations. Geometry examines the properties of two- and three-dimensional objects. Proof and logic, as well as investigative strategies in drawing conclusions, are stressed. Properties and relationships of geometric objects include the study of: (1) points, lines, angles and planes; (2) polygons, with a special focus on quadrilaterals, triangles, right triangles; (3) circles; and (4) polyhedra and other solids. Algebra II is a course that extends the contentBiology provides, through regular laboratory and field investigations, a study of the structures and functions of living organisms and their interactions with their environment. This study explores the functions and processes of cells, tissues, organs, and systems within various species of living organisms and the roles and interdependencies of organisms within populations, communities, ecosystems, and the biosphere. Students have opportunities to: (1) gain an understanding of the history of the development of biological knowledge, (2) explore the uses of biology in various careers, and (3) investigate biological questions and problems related to personal needs and social issues. Text used: Prentice Hall Biology by Miller and Levine The laboratory investigations were performed with a small group of other students. The majority of the labs were from Prentice Hall Biology Laboratory Manual A with additional dissections added to round out the course. Some labs were done virtually using Prentice Hall Biology: Virtual Labs CD-Rom (marked with a V). Labs: Observing the Uncertainty of Measurements Identifying Organic Compounds Investigating Chemical Cycles in the Biosphere Observing Osmosis V – Diffusion Through a Selectively Permeable Membrane V – Osmosis Through a Selectively Permeable Membrane V – Onion Cell Plasmolysis Measuring the Effect of Light Intensity on Photosynthesis Cellular Reproduction V – Mitosis in Plant Cells V – Comparing Mitosis in Plant and Animal Cells Investigating Inherited Traits V – Restriction Enzyme Cleavage and Electrophoresis V – Bacterial Transformation-Ampicillin Resistance Making Karyotypes Comparing Adaptations of Birds Modeling a Gene Pool V – Estimating Allele Frequencies For One Trait with a Sample Population V – Testing and Ideal Hardy-Weinberg Population V – Selection against a Deleterious Allele Using and Constructing a Dichotomous Key Protozoan Predator – Prey Cycles Comparing the Characteristics of Molds Observing Root and Stem Structures V – Examining Plant Stem Structure Investigating Germination and Seedling Development Comparing Sponges and Hydras Observing the Structure of an Earthworm Observing the Structure of a Clam Observing the Structure of a Squid Observing the Structure of a Starfish Observing the Structure of a Grasshopper Observing the Structure of a Crayfish Comparing Invertebrate Body Plans Observing the Structure of a Perch Investigating Frog Anatomy Observing the Structure of a Fetal Pig Comparing Primates Observing Vertebrate Skeletons Observing Nervous Responses Observing Bone Composition and Structure Measuring Lung Capacity Simulating Urinalysis CHEMISTRY with lab Chemistry provides a study of useful models of the structure of matter and the mechanisms of its interactions, including laboratory investigations of matter and chemical reactions. This study begins with an introduction to the nature of chemistry and then progresses through more rigorous mathematical models and concepts. Students have opportunities to: (1) gain an understanding of the history of chemistry, (2) explore the uses of chemistry in various careers, (3) investigate chemical questions and problems related to personal needs and social issues, and (4) learn and practice laboratory safety. The laboratory investigations were performed either solo or with a small group of other students. The labs were drawn from the text and Prentice Hall Chemistry: Small Scale Laboratory Manual. Labs: Making Observations of Matter A Study of Chemical Changes Now What Do I Do? Isotopes and Atomic Mass Design and Construction of a Quantitative Spectroscope Visible Spectra and the Nature of Light and Color Flame Tests A Periodic Table Logic Problem Periodicity in Three Dimensions Electron Configurations of Atoms and Ions and Solutions containing ions Paper Chromatography Chemical names and Formulas Measuring Mass: A Means of Counting Balancing Chemical Equations Titration of Bleach Titration: Determing How Much Acid is in a Solution Analysis of Baking Soda Absorption of Water by Paper Towels The Behavior of Liquids and Solids Carbon Dioxide from Antacid Tablets Reactions of Aqueous Ionic Compounds Identification of Eight Unknown Solutions Electrolytes Heat Fusion of Ice Factors affecting the Rate of a Chemical Reaction A Small Scale Colorimetric pH Meter Titration Curves Determination of an Activity Series Electrochemical analysis of Metals Electrolysis of Water PHYSICS with lab Physics focuses on synthesizing the fundamental concepts and principles concerning matter and energy through the study of mechanics, wave motion, heat, light, electricity, magnetism, electromagnetism, and atomic and nuclear physics. Students have opportunities to: (1) acquire an awareness of the history of physics and its role in the birth of technology, (2) explore the uses of its models, theories, and laws in various careers, and (3) investigate physics questions and problems related to personal needs and social issues. Text used: Physics, sixth edition by Giancoli The laboratory investigations were performed solo and drawn from Physics: A Laboratory Manual by Puri, Zober, and Zober. Labs: Graphical Analysis Measurements Uniformly Accelerated Motion: Inclined Plane Composition and Resolution of Forces The Acceleration Due to Gravity Friction Newton's Second Law of Motion Centripetal Force Elastic Collisions Vibratory Motion of a Spring The Velocity of Sound Boyle's Law Electricity Resistors and Ohm's Law Resistors in Series and Parallel Snell's Law Lenses The Compound Microscope English FRESHMAN ENGLISH Through the integrated study of language, literature, and writing, Freshman English develops the use of language as a tool for learning and thinking and as a source of pleasure. The course works on identifying, analyzing, and composing with different elements, structures, and genres of written language. Literature instruction focuses on opportunities to read and comprehend a broad variety of literature applying appropriate reading strategies to enhance reading skills and literary appreciation and to develop vocabulary. Composition requires writing for various audiences and purposes while strengthening skills in paragraph and multi-paragraph writing. Sophomore English reinforces and continues to make full use of many of the activities and skills of Freshman English. Literature instruction focuses on opportunities to respond critically, reflectively, and imaginatively to major authors from classic and contemporary works and practice distinguishing among the different types of contents and purposes language can hold. Composition component provides opportunities to write for various audiences and purposes. Goals are to identify and employ various elements of good writing in well organized descriptive, expository, and narrative writings. The formal study of grammar, usage, spelling, and language mechanics is integrated into the study of writing. The writing process includes prewriting, drafting, revising, editing, and publishing. Use of one of the manuals of style such as Modern Language Association [MLA], American Psychological Association [APA], or the Chicago Manual of Style [CMS] is required. Speech provides the study of and practice in the basic principles and techniques of effective oral communication. This course includes instruction in adapting speech to different audiences and purposes. Instruction took place in a small class setting, with opportunities to make different types of oral presentations including: (1) viewpoint, (2) instructional, (3) demonstration, (4) informative, (5) persuasive, and (6) impromptu. There were opportunities to express subject matter knowledge and content through creative, analytical, and expository writing, as well as reading a variety of literary genre related to course content and speaking assignments. This course emphasizes research using technology and careful organization and preparation. A secondary focus was on the practice and development of critical listening skills. The class was organized _____ and taught by ______ DRAMA Drama employs all the elements of a dramatic production – acting, costumes, set, props, lighting, and sound – to teach how a theater company works. The main focus of the class was centered around preparation for and performance of one play at the end of the year. All elements of the play were created and produced by the students. Side assignments relating to the history of the theater, dramatic techniques, and acting exercises were also assigned. The class was organized _______ and taught by ______ AMERICAN LITERATURE American Literature provides a survey of the literature produced in the United States from pre-Revolutionary times to the present. This course includes a study of the representative works of various literary genres that reflect the American culture. The study was divided across a variety of literary genres, such as drama, poetry, and prose, as well as Native American folk legends. Influences of classical literature can be experienced in the historical, literary, and cultural contexts. Quality works of various ethnic and cultural minorities, such as African-American writers, women writers, and Native American writers are included, as are the works of the contemporary writers. Written and oral exercises required students to analyze and explain how their readings of literature, history, and culture are interconnected and distinctly American. British Literature provides a survey of representative literature produced by British authors, including those in the British Isles as well as those in the former British colonies. This course includes the study of major British authors from the Anglo-Saxon period to the present, literary movements, and intellectual trends. These authors and their works include the following: (1) Beowulf, (2) Chaucer, (3) Shakespeare, (4) Donne, (5) Milton, (6) Pope, (7) Swift, (8) Austen, (9) Wordsworth, (10) Keats, (11) Mary and Percy Shelley, (12) Tennyson, (13) the Bronte Sisters, (14) Joyce, (15) Yeats, and (16) Woolf. It also provides an examination of the contributions of British authors to specific literary genres, such as poetry, drama, the essay, and the novel. Discussion activities include opportunities to respond to the literature both analytically and reflectively. World Literature is a comparative literature course that surveys literature written by major authors of the world. This course compares representative works produced by writers of various nationalities, and eras, from Lao Tsu's Tao Te Ching to Harper Lee's To Kill a Mockingbird. Works by women and minority authors are included. Reading List – These are additional reading that was not part of any of the above-listed courses. Title Author Translated by: 1984 Orwell, George Aeneid, The Virgil Fitzgerald, Robert Agamemnon Aeschylus Hamilton, Edith Complete Fairy Tales of the Brothers Grimm, The Brothers Grimm Zipes, Jack Dracula Stoker, Bram Dragon's Gate Yep, Laurence Dune Herbert, Frank Edison: A Biography Josephson, Matthew Edison: Inventing the Century Baldwin, Neil Edison: The Man who made the Future Clark, Ronald Epic of Gilgamesh, The Anonymous Mason, Herbert Fahrenheit 451 Bradbury, Ray Farewell to Manzannar Houston, Jeanne Wakatsuki Gulliver's Travels Swift, Jonathan Histories, The Herodotus Waterfield, Robin Hobbit, The Tolkien, J.R.R. Huckleberry Finn Twain, Mark Iliad, The Homer Fitzgerald, Robert Longest Day, June 6, 1944, The Ryan, Cornelius Metamorphoses Ovid Mandelbaum, Allen Midsummer Night's Dream, A Shakespeare, William Odyssey, The Homer Fitzgerald, Robert Oedipus Rex Sophocles Fitts, Dudley and Fitzgerald, Robert Oedipus Rex Sophocles Young, Sir George Old Possum's Book of Practical Cats Eliot, T. S. Once and Future King, The White, T.H. Prometheus Bound Aeschylus Hamilton, Edith Sounder Armstrong, William Howard Streak of Luck, A: The Life and Legend of Thomas Alva Edison Conot, Robert E. Tale of Two Cities, A Dickens, Charles Trojan Women, The Euripides Hamilton, Edith Way Things Never Were, The Finkelstein, Norman Social Studies UNITED STATES HISTORY, 1865 TO PRESENT United States History, 1865 to Present builds upon concepts developed in previous studies of American history. The focus of this course is the interaction of key events, persons, and groups with political, economic, social, and cultural influences on state and national development in the late nineteenth, twentieth, and early twenty-first centuries. The course traces and analyzes chronological periods and examines the relationship of significant themes and concepts in United States history. The class focuses on developing skills and processes of historical thinking and inquiry that involve chronological thinking, comprehension, analysis and interpretation, and research that uses primary and secondary sources found at local and state historic sites, museums, libraries, and archival collections, including electronic sources. Opportunities are given to develop inquiry skills by gathering and organizing information from primary source material and a variety of historical and contemporary sources, accounts, and documents that provide diverse perspectives. Investigation of themes and issues includes cultural pluralism and diversity of opinion in American society. Text used: Prentice Hall The American Nation: Civil War to the Present by James Davidson UNITED STATES GOVERNMENT United States Government provides a framework for understanding the purposes, principles, and practices of constitutional representative democracy in the United States of America. Responsible and effective participation by citizens is stressed. Understanding the nature of citizenship, politics, and government will encourage understanding of the rights and responsibilities of citizens and the ability to explain how those rights and responsibilities as citizens are part of local, state, and national government in the United States today. The course focuses on examining how the United States Constitution protects individual rights and provides the structures and functions for the various levels of government. Furthermore, the course will then use that basis to analyze how the United States government interacts with other nations and evaluate the United States' role in world affairs. Study about American government uses primary and secondary sources. Text used: U.S. Government: Democracy in Action by Richard Remy Ph.D ECONOMICS Economics examines the allocation of resources and their alternative uses for satisfying human wants. This course analyzes the economic reasoning used as consumers, producers, savers, investors, workers, voters, and government agencies make decisions. Key elements of the course include a study of scarcity and economic reasoning, supply and demand, market structures, the role of government, national income determination, money and the role of financial institutions, economic stabilization, and trade. The course will explain that because resources are limited, people must make choices in all aspects of daily life and demonstrate the role that supply, demand, prices, and profits play in a market economy. It will also examine the functions of government in a market economy and study market structures, including the organization and role of businesses. The course then focuses on the role of economic performance, money, stabilization policies, and trade in the United States. Text used: Economics: Principles and Practices by Gary Clayton, Ph.D AP GEOGRAPHY The purpose of the AP course in Human Geography is to introduce the systematic study of patterns and processes that have shaped human understanding, use, and alteration of Earth's surface. A goal of the course is to employ spatial concepts and landscape analysis to examine human social organization and its environmental consequences. The course also touches on the methods and tools geographers use in their science and practice. The topics studied in an AP Human Geography course cover goals that build on the National Geography Standards developed in 1994. World History emphasizes events and developments in the past that greatly affected large numbers of people across broad areas of the earth and that significantly influenced peoples and places in subsequent eras. Some key events and developments pertain primarily to particular people and place; others, by contrast, involve transcultural interactions and exchanges between various peoples and places in different parts of the world. Studying world history requires practicing skills and processes of historical thinking and inquiry that involve chronological thinking, comprehension, analysis and interpretation, research, issues-analysis, and decision-making. The course will compare and contrast events and developments involving diverse peoples and civilizations in different regions of the world. Text used: World History: Continuity and Change by William Hanes, III PHILOSOPHY Philosophy provides for the study of our understanding of life and the world. This course provides a broad overview of philosophy. The emphasis of the course work is on developing an understanding of philosophy and how to apply it to human concerns. Topics include logic, ethics, political philosophy, epistemology, and metaphysics. HISTORY OF ECONOMIC THOUGHT History of Economic Thought investigates the historical development of economic thought, from the Greeks through current thinkers. The works of economists and economic philosophers such as Adam Smith and Milton Friedman are studied. Main text used: Brief History of Economic Genius, A by Paul Strathern French FRENCH I French I provides opportunities to respond to and give oral directions and commands and to make routine requests in the classroom and in public places; understand and use appropriate forms of address in courtesy expressions and be able to tell about daily routines and events; ask and answer simple questions and participate in brief guided conversations related to their needs and interests; read isolated words and phrases in a situational context, such as menus, signs, and schedules; comprehend brief written directions and information; read short narrative texts on simple topics; and write familiar words and phrases in appropriate contexts and respond in writing to various stimuli. Additionally, the course provides information about awareness of current events in the cultures; the major holidays and geographical features of the countries being studied; greeting and leave taking behaviors in a variety of social situations; the appropriate way to respond to introductions and use courtesy behaviors; and appropriate etiquette in a variety of social settings. Text used: Bon Voyage – Level I by Schmitt and Lutz FRENCH II French II enables participation in conversations dealing with daily activities and personal interests. The course focuses on asking questions regarding routine activities; participating in conversations on a variety of topics; relating a simple narrative about a personal experience or event; interacting in a variety of situations to meet personal needs, such as asking permission, asking for or responding to an offer of help, and expressing preferences pertaining to everyday life; understanding main ideas and facts from simple texts over familiar topics; reading aloud with appropriate intonation and pronunciation; and writing briefly in response to given situations, for example postcards, personal notes, phone messages, and directions. Additionally, the course provides information on major geographical features, historical events, and political structures of the country being studied; on different aspects of the culture, including the visual arts, architecture, literature and music; and on awareness of time expectations, such as arriving for appointments and social engagements. Text used: Bon Voyage – Level II by Schmitt and Lutz FRENCH III French III provides instruction that enables understanding and appreciating other cultures by comparing social behaviors and values of people using the languages being learned. In addition, the course focuses on responding to factual and interpretive questions and interacting in a variety of social situations, such as expressing regrets, condolences, and complaints, and using more than rote memory formula phrases; reading for comprehension from a variety of authentic materials, such as advertisements in newspapers and magazines, and cartoons and personal correspondence; reading short literary selections of poetry, plays, and short stories; completing authentic forms and documents and taking notes that require familiar vocabulary and structures; writing paraphrases, summaries, and brief compositions; describing different aspects of the culture, using the foreign language where appropriate; and seeking help in a crisis situation and participating appropriately at special family occasions, such as birthdays, weddings, funerals, and anniversaries. Text used: Bon Voyage – Level III by Schmitt and Lutz Fine Arts PERFORMANCE DANCE: MODERN Sequential and systematic learning experiences are provided in Modern dance. Activities utilize a wide variety of materials and experiences and are designed to develop techniques appropriate within the genre, including individual and group instruction in performance repertoire and skills. The course focuses on developing the ability to express thoughts, perceptions, feelings, and images through movement. This performance class provides opportunities to experience degrees of physical prowess, technique, flexibility, and the study of dance performance as an artistic discipline and as a form of artistic communication. Learning activities and experiences develop abilities to understand the body's physical potential, technical functions, and capabilities; understand and assimilate the basic elements of technique within Modern dance; demonstrate an understanding of the varied styles within the genre; develop listening, comprehension, and memorization skills; use simple to complex and compound dance patterns within the genre; identify and use appropriate terminology related to style and technique; and understand musical phrasing, rhythmic structures, and meters. Instruction provided _________ ART HISTORY Art History focuses on sequential learning experiences that encompass art history, art criticism, and aesthetics. In the area of art history; the course investigates the meaning and significance of the cultural and historical foundations of world art, which include ideas, beliefs, and values as reflected in works of art. The course provides a structure for classifying major styles of art and artists and developing a foundation for understanding the historical progression of art. In the area of art criticism; the course investigates the meaning and significance in works of art by analyzing common characteristics and interpretations across time and cultures, and formulating interpretations of the work. In the area of aesthetics; the course investigates the meaning and significance by: (1) formulating evaluations of the work of art based on personal questions about the nature of art, (2) reflecting on the changing definitions of art throughout history, and (3) assessing their own ideas and definitions of art in relation to the art community. Additionally, the course investigates works of art and artifacts including those produced by men and women of multiple cultural groups. Art museums and community and state resources are utilized. Text used: Art in Focus by Gene Mittler Other PHYSICAL EDUCATION Physical Education emphasizes health-related fitness and developing the skills and habits necessary for a lifetime of activity. This program includes skill development and the application of rules and strategies of complex difficulty in at least three of the following different movement forms: (1) health-related fitness activities (cardiorespiratory endurance, muscular strength and endurance, flexibility, and body composition), (2) aerobic exercise, (3) team sports, (4) individual and dual sports, (5) gymnastics, (6) outdoor pursuits, (7) self-defense, (8) aquatics, (9) dance, and (10) recreational games. Activities included studying the martial arts Jeet Kune Do and Brazilian Jiu-Jitsu, swimming, and recreational games. DRIVER EDUCATION Driver Education provides the knowledge needed to develop the skills, habits, and attitudes necessary to interact safely and effectively with other highway users in a wide variety of environments, situations, and conditions. This course includes a combination of classroom instruction and behind-the-wheel experiences in on-street environments. The Driver Education course also provides for learning related to: (1) driving skills, (2) traffic laws, (3) the laws of nature, (4) driving attitudes, (5) occupant protection, (6) the effect of physical and mental conditions of the driver, (7) vehicle purchase, (8) insurance and maintenance, (9) the ecology and energy efficiency of various transportation modes, (10) energy efficient driving techniques, and (11) sharing the roadway with other users, including motorcyclists and pedestrians. Instruction was through ________ HEALTH EDUCATION High school health education provides the basis for continued methods of developing knowledge, concepts, skills, behaviors, and attitudes related to health and well-being. This course includes the major content areas in a planned, sequential, comprehensive health education curriculum: (1) Growth and Development; (2) Mental and Emotional Health; (3) Community and Environmental Health; (4) Nutrition; (5) Family Life Education; (6) Consumer Health; (7) Personal Health; (8) Alcohol, Tobacco, and Other Drugs Education; (9) Intentional and Unintentional Injury; and (10) Health Promotion and Disease Prevention. The course explores the effect of health behaviors on an individual's quality of life. This course focuses on understanding that health is a lifetime commitment by analyzing individual risk factors and health decisions that promote health and prevent disease.
Italian mathematics between the two World Wars was shaped by a colorful array of strong personalities who concentrated their efforts on a select number of fields and won international recognition and respect in an incredibly short time. This book describes Italian mathematics in the period between the two World Wars. more... At a time of rapid demographic change and amidst the many educational challenges facing the US, this critical new collection presents mathematics education from a culturally responsive perspective. It tackles the most crucial issues of teaching mathematics to an ethnically diverse school population, including the political dimension of mathematics
Dammit, you people are quiet!!! Hey, my tutorials will be coming out again soon...there's not much difference apart from a MUCH better layout and look, I will have over tripled the number of additional explanation hotspots by then, then index is a lot better (no contents file here), I will see what I can do to add to the reference section... Are there any tutorials people are looking for?...if you have something, ask me, and I'll see what I can do. James. PS: Bryan, Harper (the guys with the connections...:): is there anyway I can get my tutorials REVIEWED on either ticalc or Ti-Philes...I want 1. the publicity :), and 2. Constructive feedback...Conway was the only guy who gave me feedback who I didn't talk to personally (over ICQ...like Harper and Joe). Thanks. PPS: I failed my math final :)...there was a question on "mutual exclusive"...if you have the number 341521 how many ways can you make a odd number if you re-arrange numbers. 360...please say 360 :)... ____________________ James Matthews. E-mail (family): matthews@tkb.att.ne.jp E-mail (private): james_matthews@hotmail.com Homepage: ICQ: 7413754 ____________________________________
CBSE Class 10th Mathematics course not only offers online classes, but also includes enough study material in the form of PPTs + PDFs + Docs to ensure a comprehensive coverage of the syllabus. It also includes 20 online tests at the end of each unit to ensure that you get to practice problems again and again, till you get there -> the perfect 100 score. Why the promises for perfect 100 score? Only after you gain clarity on each unit and score full marks in tests, instructor will take the course to the next unit. CBSE Class 10th Mathematics online course Package: 70 LIVE interactive online classes + Access to class recordings Course timings in IST:5:30 PM to 7 PM and 4 AM to 6 AM Courseware: Audio Files + Videos + PPTs + PDFs + Docs 20 online tests CBSE Class 10th Mathematics online course outline: Class No. Topic Class Duration 1-5 Real Numbers 1 – 1.30 hours each class 6-10 Polynomials 1 – 1.30 hours each class 11-17 Pair of Linear Equations in Two Variables 1 – 1.30 hours each class 18-23 Quadratic Equations 1 – 1.30 hours each class 24-26 Arithmetic Progressions 1 – 1.30 hours each class 27-31 Triangles 1 – 1.30 hours each class 32-35 Coordinate Geometry 1 – 1.30 hours each class 36-40 Introduction to Trigonometry 1 – 1.30 hours each class 41-43 Some Applications of Trigonometry 1 – 1.30 hours each class 44-49 Circles 1 – 1.30 hours each class 50-52 Constructions 1 – 1.30 hours each class 48 - 53 Areas Related to Circles 1 – 1.30 hours each class 54-59 Surface Areas and Volumes 1 – 1.30 hours each class 60-65 Statistics 1 – 1.30 hours each class 66-70 Probability 1 – 1.30 hours each class About the Instructor Mahalakshmi K CHENNAI, India K. Mahalaxmi is an experienced online instructor for Mathematics. Her track record in training the students has been impeccable. All her classes are thorough and comprehensive. She also holds the degrees of M.Sc., B.Ed. and M.Phil. She lives in Chennai, India.
Course Number: MA.IB6HL Course Name: IB Math 6 HL Prerequisite: Geometry Course Description: Higher Level Mathematics is intended for students who have a strong background and ability in mathematics. Those students intending to study mathematics, physics, engineering or technology at the college or university level should take this course. Those intending to study chemistry, economics or business should consider it, also. Students will study topics from number theory through probability and calculus. One optional topic will be chosen. Graphing calculators are required for this course. (12/94) Course Length: 2 semesters Period Length: 1 Grade Level: 9-12 grade(s) Credit Per Semester: 1.0 (Math requirement or Elective)
About MAPS "With the proper support services, any student who is willing to succeed can be successful in mathematics" - MAPS Mission Statement The MAPS Program serves a diverse group of students. Students are recruited from several Mission College programs, including EOPS, Access, Avanzar, and DISC. In addition, the program actively seeks to include students from those groups who have traditionally had poor success in basic skills and college math courses. In addition to in-class tutoring, the program offers students group tutoring outside of class. The tutors are trained to reinforce the methods and approach taught in regular class. For students interested in working with other students outside of class, study groups have also been formed. Whenever possible, a tutor also attends the study group to assist students with questions. One of the advantages of the MAPS program is that students have about 8 hours of class per week (compared to 5 hours in other algebra classes). They sign up for Math 903M and Math 903MX in the Fall and in the Spring students sign up for Math CM and Math CMX.
From time to time, not all images from hardcopy texts will be found in eBooks, due to copyright restrictions. We apologise for any inconvenience. Description Mathematics is crucial to all aspects of engineering and technology. Understanding key mathematical concepts and applying them successfully to solve problems are vital skills every engineering student must acquire. This text teaches, applies and nurtures those skills. Mathematics for Engineers is informal, accessible and practically oriented. The material is structured so students build up their knowledge and understanding gradually. The interactive examples have been carefully designed to encourage students to engage fully in the problem-solving process.
Description This course deals with techniques for solving differential equations, and develops further tools for multivariable calculus, building on the material in MATH201. This course is a core part of 200 level maths (along with MATH201 and MATH203) and is strongly recommended to anyone who is considering majoring in mathematics or another subject that involves a high level of numeracy. It covers more advanced techniques in differential equations and vector calculus with interesting applications to many areas of science, commerce and engineering. Learning Outcomes At the end of the course, students will: • be proficient in the standard techniques of differential equations: Laplace transforms, convolutions and Fourier series • be proficient in the standard techniques of multivariate calculus: surface integrals, flux, Stokes theorem and divergence theorem • understand why these techniques work • be able to use these techniques in a variety of applications, using appropriate software • have developed problem solving skills both as part of a team and as an individual • have developed written and oral communication skills, emphasizing the ability to explain what the mathematics means
3DMath Explorer 3.1 description By 3DMath Explorer is a computer program that pilots 2D and 3D graphs of mathematical functions and curves in unlimited graphing space. It has many useful feature such as;1-3D curve ploting in real time,2-perspective drawing, 3-graph scaling (zooming), 4-active graph rotation, 5-fogging effect, 6-cubic draw,7-unlimited space ploting,8-four view plot screen, 9-auto rotate animation, 10-single coordinate system defination, 11-additional parameter function and loop variable definations, 12-3D surfaces with 3D volumes13-curve line length and surface area calculation, 14-full control on all graphical elements, 15-drawing many curves in the same screen, 16-working with many graph screen in the same time, 3DMathExplorer is a very useful program for students to make experiment and observation, for teachers to teach the subjects more interesting and comfortable, for writers to select graphs for their books within more suitable, beautiful and comprehensible graphs, and for all people that interests in this subject to use with ease. Fields that 3DMath Explorer can be use: * High school math education, * Collage and university math. education, * In academic works and Research-Development works of industrial institutions , * For writers to enrich their book with many more much better graphs, * For companies that develop multimedia programs for education or for internet sites on education to produce many graphs and animations, * In comprehensive industrial and architectural design or in more simple design fields like logo design, * In many engineering calculations and their applications, * As a simple personal hobby to amuse yourself
Modelling With Circular Motion The School Mathematics Project 9780521408899 ISBN: 052140889X Pub Date: 1993 Publisher: Cambridge University Press Summary: The aim of 16-19 Mathematics has been to produce a course which, while challenging, is accessible and enjoyable to all students. The course develops ability and confidence in mathematics and its applications, together with an appreciation of how mathematical ideas help in the understanding of the world and society in which we live. This unit: - develops an understanding of work and energy through the modelling of rea...l situations involving circular motion; - provides insight into the potential of mathematics for modelling physical phenomena; - helps foster an appreciation of the links between mathematics and the real world; - develops a basis for further study in engineering and science; - fosters an ability to model both in familiar and unfamiliar contexts within the field of mechanicsThe aim of 16-19 Mathematics has been to produce a course which, while challenging, is accessible and enjoyable to all students. The course develops ability and confidence in [more] The aim of 16-19 Mathematics has been to produce a course which, while challenging, is accessible and enjoyable to all students. The course develops ability and confidence in mathematics and its applications, together with an appreciation of how math...[less]
Course Description: Topics in Euclidean and other geometries; Foundations of geometry; Place of Euclidean geometry among other geometries. Prerequisite: A grade of C or higher in MATH 260. Text: Fundamental Concepts of Geometry, byBruce E Meserve. OBJECTIVES: Students will -become acquainted with historical developments in geometry -explore the many applications of geometry in various areas of mathematics -provide a variety of geometric concepts and tools for use in other branches of mathematics -present Euclidean geometry as a mathematical system and as one of several geometries -present geometry as a rich source of mathematical models -provide informal expository developments of school geometry -challenge the prospective teacher to consider what high school geometry could be Topics Covered: These will include but will not be limited to Axiomatic Systems The relationship between Geometry and Abstract Algebra Projective Geometry Analytic Geometry Affine Geometry Euclidean v. Non Euclidean Systems TopologyThese points will be assessed on how well you do with homework assignments and this constitutes 80% of your grade. You can improve your homework grade by keeping a journal of your ideas throughout the class. I will increase the homework part of your grade by a letter grade (as much as 8% of the total grade) for a well kept journal. There will also 20% of your grade awarded for a final project presented to the class at the end of the semester. This grade can be improved by better than a letter (5% of the total grade) by good participation in class.
Hello, I may sound really dumb to all the math gurus here, but it's been a long time since I am studying mathematics investigatory project, but I never found it appealing. In fact I always commit mistakes. I practise a lot, but still my grades do not seem to be improving. Don't fret my friend. It's just a matter of time before you'll have no trouble in solving those problems in mathematics investigatory project. I have the exact solution for your algebra problems, it's called Algebrator. It's quite new but I assure you that it would be perfect in helping you in your math problems. It's a piece of program where you can answer any kind of algebra problems with ease. It's also user friendly and displays a lot of useful data that makes you understand the subject matter fully. 1.Hey mate, you are on the mark about Algebrator! It is absolutely fab! I downloaded it recently from after a colleague suggested it to me. Now, all I do is type in the problem from my text book and click on Solve. Bingo! I get a step-by-step solution to my math problem. It's almost like a tutor is teaching it to you. I have been using it for four months and so far, haven't come across any homework that Algebrator can't solve. I have learnt so much from it! exponential equations, relations and graphing circles were a nightmare for me until I found Algebrator, which is truly the best math program that I have ever come across. I have used it frequently through many algebra classes – Remedial Algebra, Remedial Algebra and Algebra 2. Just typing in the algebra problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my algebra homework would be ready. I highly recommend the program.
This comprehensive resource begins with an overview of mathematics, covering algebra, number theory, finite fields, and cryptography. The book then presents algorithms which can be executed and verified with actual input data. Logic schemes and VHDL models are described in such a way that the corresponding circuits can be easily simulated and synthesized. The book concludes with a real-world example of a finite-field application—elliptic-curve cryptography. This is an essential guide for hardware engineers involved in the development of embedded systems. Get detailed coverage of: Modulo m reduction Modulo _ m_ addition, subtraction, multiplication, and exponentiation Operations over GF (_ p_ ) and GF (_ p^m^_]) Operations over the commutative ring Z~p~[ x ]/_ f_ ( x ) Operations over the binary field _ GF_ (2 m) using normal, polynomial, dual, and triangular Recommendations: Save 27.65% Save 27.65% Save 5.84% Save 20.0483
Summary: These popular and proven workbooks help students build confidence before attempting end-of-chapter problems. They provide short problems and exercises that focus on developing a particular skill, often requiring students to draw or interpret sketches and graphs, or reason with math relationships. New to the Second Edition are exercises that provide guided practice for the textbook's Problem-Solving Strategies, focusing in particular on working symbolically. Fast Shipping ! Used books may not include access codes, CDs or other supplements. $7.59 +$3.99 s/h Good a Book company Lexington, KY May contain some highlighting. Supplemental materials may not be included. We select best copy available. - 2nd Edition - Workbook - ISBN 9780321596338 $8.9110.00 +$3.99 s/h Good Goodwill Discount Books North Las Vegas, NV Good shape, medium wear. shows little to no wear $11.00 +$3.99 s/h VeryGood Madubooks Richmond, TX 0321596331 Used but in very good condition. May have markings, highlights, scratches on the cover, water stains or back pack wears and tears. Availability of CDs, DVDs or other resource materials even...show more if listed with the titles (package) are not guaranteed. Express delivery available strictly on demand. Ships NOW if ORDERED before 2PM CST ...show less $12.99 +$3.99 s/h LikeNew Greatextbooks Auburn, CA 0321596331 **BRAND NEW** VOLUME TWO. SHIPS SAME OR NEXT BUSINESS DAY!! $1516.801795
This is a foundation course for many majors ( Mathematics, Sciences and Engineering ). It focuses on real numbers, functions, limits, continuity, derivatives, integrals and their applications. At the end of the course, students will be able to strengthen their knowledge on fundamental algebra and basic principles of differential and integral calculus, find limits of functions, calculate the rates of change, apply techniques of differentiations to find derivatives of functions, find the extrema of functions using the first and second derivetive tests, sketch the graphs of polynomial and rational functions, and find antiderivatives.
Mathematica®: A Problem-Centered Approach An introduction to the vast array of features and powerful mathematical functions of Mathematica that uses a multitude of clearly presented examples and worked-out problems that enable the reader to learn from the codes and avoids lengthy explanations. Mathematica®: A Problem-Centered Approach introduces the vast array of features and powerful mathematical functions of Mathematica using a multitude of clearly presented examples and worked- out problems. Each section starts with a description of a new topic and some basic examples. The author then demonstrates the use of new commands through three categories of problems - the first category highlights those essential parts of the text that demonstrate the use of new commands in Mathematica whilst solving each problem presented; - the second comprises problems that further demonstrate the use of commands previously introduced to tackle different situations; and - the third presents more challenging problems for further study. The intention is to enable the reader to learn from the codes, thus avoiding long and exhausting explanations. While based on a computer algebra course taught to undergraduate students of mathematics, science, engineering and finance, the book also includes chapters on calculus and solving equations, and graphics, thus covering all the basic topics in Mathematica. With its strong focus upon programming and problem solving, and an emphasis on using numerical problems that do not need any particular background in mathematics, this book is also ideal for self-study and as an introduction to researchers who wish to use Mathematica as a computational tool. Mathematica®: A Problem-Centered Approach comes with a free 30 day trial of the Wolfram Mathematica(R) software' Table of Contents Table of Contents 1. Introduction. 1.1 Mathematica as a calculator. 1.2 Numbers. 1.3 Algebraic computations. 1.4 Trigonometric computations. 1.5 Variables. 1.6 Equalities =, :=, ==. 1.7 Dynamic variables. 2. Defining functions. 2.1 Formulas as functions. 2.2 Anonymous functions. 3. Lists. 3.1 Functions producing lists. 3.2 Listable functions. 3.3 Selecting from a list. 4. Changing heads!. 5. A bit of logic and set theory. 5.1 Being logical. 5.2 Handling sets. 5.3 Decision making, If and Which. 6. Sums and products. 6.1 Sum. 6.2 Product. 7. Loops and repetitions. 7.1 Do, For a While. 7.2 Nested loops. 7.3 Nest, NestList and more. 7.4 Fold and FoldList. 7.5 Inner and Outer. 8. Substitution, Mathematica rules. 9. Pattern matching. 10. Functions with multiple definitions. 10.1 Functions with local variables. 10.2 Functions with conditions. 11. Recursive functions. 12. Linear algebra. 12.1 Vectors. 12.2 Matrices. 13. Graphics. 13.1 Two dimensional graphs. 13.2 Three dimensional graphs. 14. Calculus and equations. 14.1 Solving equations. 14.2 Calculus. 15. Solutions to the Exercises Errata If you think that you've found an error in this book, please let us know about it. You will find any confirmed erratum below, so you can check if your concern has already been addressed.
You are here MATH 2043 - College Trigonometry This course is designed for the college student who has demonstrated mastery of algebra skills and techniques. Topics include trigonometric functions and their properties with the study of identities, formulas, equations, and graphs. Also included are the solution of right and oblique triangles using the law of sines and cosines. In addition, time is spent exploring logarithmic and exponential functions. Emphasis is placed on contextual applications and problem solving. A graphing calculator is required. Credit cannot be received for both MATH 2043 and MATH 1054. Students cannot receive credit for MATH 2043 if they have credit for MATH 1063, MATH 1084, or any course for which MATH 1063 or MATH 1084 are prerequisites.
Synopsis It is now possible to enter a chemistry degree course at many UK universities without any formal maths training beyond age 16. Addressing this deficiency requires students to take additional mathematics training when entering university, yet the relevance of maths to chemistry is often poorly appreciated by chemistry students. In addition, many service courses are either too abstract, or aimed at physicists and engineers, for students of chemistry, who are not inclined to study mathematical techniques per se and do not make the connection between the maths they are taught and the chemistry they want to study. Based on the successful at a Glance approach, with integrated double page presentations explaining the mathematics required by undergraduate students of chemistry, set in context by detailed chemical examples, this book will be indispensable to all students of chemistry. By bringing the material together in this way the student is shown how to apply the maths and how it relates to familiar concepts in chemistry. By including problems (with answers) on each presentation, the student is encouraged to practice both the mathematical manipulations and the application to problems in chemistry. More detailed chemical problems at the end of each topic illustrate the range of chemistry to which the maths is relevant and help the student acquire sufficient confidence to apply it when necessary. Found In eBook Information ISBN: 97814051462
College Algebra The scope of this learning experience is to study basic mathematical concepts required for adult learners at a college or university level. Learners will become proficient at solving linear and quadratic equations, graphing linear and quadratic equations, functions, exponents and logarithms, and applying these concepts to real world problems. Idizzla 19:50, 27 July 2007 (UTC) If you wish to participate with this course, please add your name below after registering an account on Wikiversity with your account signature by editing this page and adding *~~~~ Mirwin 09:39, 18 August 2006 (UTC) I can help out with some mentoring or tutoring where materials are difficult to understand and possibly help fill gaps in available materials. I have a B.S. in Engineering Physics so I have done quite a bit of practical algebra even if it is a bit rusty in spots. Participants drop queries or requests for assistance on my talk page and we will create some appropriate space from there to work from. --MarkyParky 22:58, 25 August 2006 (UTC) I can help out when people are stuck on some problem, or just need something explained from a different perspective.
Maple Basics Maple is software that can solve mathematical problems that result in formulas (e.g. factoring an equation) or numbers. This hands-on workshop will teach you how to use the Maple user interface, how to perform calcula-tions, do symbolic algebra, plot graphs and solve equations. Prerequisite: knowledge of basic algebra
Two Exponential worksheets are a basic review of exponential growth and decay. Each worksheet has six graphing questions, with graph grids and t-charts included, four questions regarding exponential functions that contain (0,1) and four multiple choice questions. Although I used this in a lower tracked tenth grade math class, it is a good review of the topic. The questions are very basic. Compressed Zip File Be sure that you have an application to open this file type before downloading and/or purchasing. 136.25
@book {IOPORT.00043540, author = {Solomentsev, E.D.}, title = {Functions of a complex variable and their applications. Textbook. (Funktsii kompleksnogo peremennogo i ikh primeneniya. Uchebnoe posobie.)}, year = {1988}, isbn = {5-06-003145-6}, pages = {168 p.}, publisher = {Moskva: Vysshaya Shkola}, abstract = {The author addresses his book to students of higher technical schools as well as to engineers wishing to enrich their mathematical background. The book contains an introduction to the theory of complex functions as well as its main applications such as operational calculus, problems of stability of linear systems and plane vector fields. The theory is illustrated by examples and exercises.}, reviewer = {J.Siciak}, identifier = {00043540}, }
​This is a site dedicated to students to help succeed in predominately in College Algebra. The topics on this page is what students need to master before or the first week of Math 1111. However, it can also be helpful in other courses as well as Learning Support and Precalculus. If a student needs further assistance, it is suggested they view the main math tutoring page titled "Math" located to the left. It is full of helpful links, tutoring information, and COMPASS test notes/videos. How to Use These Videos: The videos are best used in sequence. Meaning, they can be viewed in any order; however, if you are unfamiliar with an explanation or term within a topic, you may go back to previous videos that will help you understand the concept as a whole.
Shapes, relationships in one, two and three dimensions are covered. Algebra is continually reviewed and used throughout the course. Prealgebra is a very important subject since it is the foundation for a new language, the language of algebra.
Synopsis Enhance essential elementary algebra skills with these twenty-one practice problems. Each problem has an expression with mixed operators to reinforce the concept of operator precedence and use of parentheses. Choose a problem to solve from the problem list, work the problem, and then confirm your answer by easily navigating the link to the complete instructive solution. Return to the practice problems to select another. Problems start with low difficulty and gradually increase to challenging. The second workbook in this subject series. Most appropriate for 4th and 5th grade students. Found In eBook Information ISBN: 9781466172
Mathcentre provide these resources which cover aspects of vectors and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include an introduction to vectors, calculating the vector and scalar products and the cartesian… Mathcentre provide these resources which cover aspects of trigonometry and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include the trigonometric ratios, using Pythagoras' theorem, cosecant, secant and… Mathcentre provide these resources which cover aspects of sequences and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include sigma notation, limits of sequences and the sum of an infinite series. Comprehensive… Mathcentre provide these resources which cover aspects of integration and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include integration as the reverse of differentiation, integration by parts, integration… Mathcentre provide these resources which cover aspects of geometry and are suitable for students studying mathematics at A Level, those for whom mathematics is an integral part of their course and some apply to GCSE Higher Level students. The topics covered include the geometry of a circle, polar coordinates, the gradient and intercept… Mathcentre provide these resources which cover aspects of functions and graphs and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include an introduction to functions, the hyperbolic, trigonometric and polynomial… Mathcentre provide these resources which cover aspects of differentiation which are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include, differentiation from first principles, a table of common functions and their… Mathcentre provide these resources which cover aspects of arithmetic, many of which are suitable for students studying mathematics at Higher Level GCSE, or A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include, decimals, fractions, percentages, surds and ratios. Comprehensive… Mathcentre provide these resources which cover a wide range of algebraic topics, many of which are suitable for students studying mathematics at Higher Level GCSE, or A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include completing the square, factorising quadratics,… Mathcentre provide this resource which covers the slope intercept form, an aspect of geometry that involves the gradient and vertical intercept of a graph, which can be established from the terms of a linear equation. Comprehensive notes, with clear descriptions are provided, together with relevant diagrams and examples. Students… Mathcentre provide these resources which cover aspects of functions and graphs. They include explanations of linear functions, the exponential constant, the graph of a function and linear relationships. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams and examples. Students… Mathcentre provide these resources which cover aspects of differentiation. They include an introduction to differentiation, a technique used to calculate the gradient or slope of a graph at different points, a table of common functions and their derivatives, as well as linearity rules which, when used with a table of derivatives,… Mathcentre provide these resources which cover aspects of arithmetic. They include fractions and their associated arithmetic, geometric progressions, percentages, ratios and powers and roots. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams and examples. Students wishing… Mathcentre provide these resources which cover aspects of vectors, often used in the field of engineering. They include descriptions of the notation often used to describe vectors and how to calculate the modulus of vector given in cartesian form, as well as how to calculate scaler and vector products. Comprehensive notes, with… Mathcentre provide these resources which cover aspects of trigonometry, often used in the field of engineering. They include the trigonometric ratios, using Pythagoras' theorem and working with the sine and cosine rules. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant… Mathcentre provide these resources which cover aspects of matrices, often used in the field of engineering. They include determinants, multiplying matrices, the inverse of a matrix and Cramer's rule, which uses determinants to solve simultaneous equations. Comprehensive notes, with clear descriptions, for each resource are… Mathcentre provide these resources which cover aspects of integration, often used in the field of engineering. They include linearity rules of integration, integration by parts, integration by substitution and integration as the reverse of differentiation. Comprehensive notes, with clear descriptions, for each resource are provided,… Mathcentre provide these resources which cover aspects of geometry often used in the field of engineering. They include the gradient and intercept of straight line graphs, polar coordinates and converting degrees and radians. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams… Mathcentre provide these resources which cover aspects of functions and graphs often used in the field of engineering. They include descriptions of the hyperbolic function and identities, the logarithm function and its graph as well as the graphs of the trigonometric functions. Comprehensive notes, with clear descriptions, for… Mathcentre provide these resources which cover aspects of differentiation, often used in the field of engineering. They include an introduction to differentiation and its uses, a table of common functions and their derivatives, as well as the rules used to enable the differentiation of a wide range of functions. Comprehensive… Mathcentre provide these resources which cover aspects of complex numbers, often used in the field of engineering. They include the definition of a complex number and their associated arithmetic, the Argand diagram and polar form of a complex number, as well as the exponential form. Comprehensive notes, with clear descriptions,… Mathcentre provide these resources which cover aspects of arithmetic, often used in the field of engineering. They include fractions and their associated arithmetic, calculations involving surds, using standard form, as well as understanding and drawing the graph of a function. Comprehensive notes, with clear descriptions, for… Mathcentre provide these resources which cover a wide range of algebraic topics, many of which are used in the field of engineering. They include, solving linear equations, quadratic equations, partial fractions, rearranging formulas, factorials and the laws of indices. Comprehensive notes, with clear descriptions, for each resource… Mathcentre provide this refresher resource for basic differentiation, which has been designed to enable students to prepare for their university mathematics programme. There is a comprehensive review including differentiation of a general power multiplied by a constant, simple fractions and general brackets. Although it has been… Mathcentre provide this numeracy refresher resource, which was developed and trialled by staff of the University of Birmingham Careers Centre and subsequently used widely throughout the HE Sector. There are sections which review decimals, fractions, averages, percentages and ratios, making it a useful resource for Key Stage Three… Mathcentre provide this calculus refresher resource which has been designed to enable students to prepare for their university mathematics programme. There is a comprehensive review of derivatives, the product, quotient and chain rules, differentiation of functions, integration by parts and substitution, as well as partial fractions. Although… This Mathcentre booklet explains the structure of Pascal's triangle and demonstrates how it can be used to raise a binomial expression to a power higher than two. For example if students are asked to find (x+1)7 it would be very cumbersome to do this by repeatedly multiplying the expression by itself. However by considering…
Honors Geometry Course Syllabus 2005-2006 Fr. Chris Thiel, OFMCap Homework You will not pass without turning in your homework. Homework is usually assigned from the textbook, though it may be a worksheet or a test "re-do." The name "homework" may be misleading, since we will often do certain assignments in class. Homework is due each week, at the beginning of the first class after the weekend. Grading of homework is based on the following: Each sheet must have: the student's name class period & date the assignment's page number, each question & diagram an honest attempt at an answer, showing appropriate work a legible appearance No credit given for pages without your name. Homework is graded based on neatness, completeness, correctness and timeliness. Neatness means legible handwriting or printing and carefully drawn figures. Completeness means all assigned exercises have the question and relevant diagrams written out, showing all reasonable steps needed to justify the answer. Correctness means that revisions to incorrectly worked problems are shown, preferably in another color. Timeliness means you keep up to date each week. Weekly Quizzes Quizzes are administered every week that does not have a chapter test. In general, quizzes are based directly on homework assignments and examples done in class. Most on the time, notes and homework may be used while taking a quiz , but not your textbook. This is to encourage you to take careful, clear and complete notes in class. Chapter Tests Chapter tests are administered after covering a significant body of work, usually after each chapter of the text. Sometimes however, a large chapter is divided into two parts, with a Chapter Test after each. In general, a chapter test is scheduled every other week. Since everyone can have a "bad day" for whatever reason (stress, illness, difficulty with a particular topic, etc.), the lowest test of the quarter does not count. Chapter Tests are 20 points. Projects Projects are assigned to encourage the communication of geometric insights and to help deepen your understanding of a particular topic. Projects take on a variety of forms including making web pages, videos, posters and presentations. Projects are either 10 or 20 point assignments. Final Exam There is a special schedule during "Finals Week" to allow for a long, in depth examination of what you learned each quarter. The final exam counts as two chapter tests. To help your test taking skills, the test is conducted in the "SAT" style. There are only thought provoking questions, and an average student only answers half of them correctly. These exams are therefore graded on a curve, based on the average and standard deviation of those taking the exam this year. The top student will score all 40 points. Classroom Discipline DO NOT DISRUPT CLASS For the sake of the majority of the class, those who disrupt a class lesson by talking, disturbing someone, or throwing any object will not be tolerated. Disciplinary measures may include written assignments or cleaning of the classroom. Chronic disruptions warrant a phone call home and/or a "Saturday". DO NOT ABUSE SCHOOL PROPERTY You are responsible for your work place and will be held accountable to keep your desk and its environs clean. Feet should remain on the floor, never on the desk. All four feet of the desk must also remain on the floor. Be gentle when using a school computer. If you are banned from the use of the computer, all computer based assignments are replaced with extensive written assignments. DO NOT ABUSE YOUR TIME Take advantage of the group work sessions. This is the time to do your talking---so long as you get the work done. Abuse of this privilege will result in individual loss of the privilege as well as the disciplinary measured mentioned above. Talking without permission during quizzes or tests can and will be interpreted as cheating. Consult the student handbook for the consequences of cheating. As per the student handbook, students are responsible for work missed due to absence the day they return. If you are present and a quiz or test is scheduled, you must take it. It is a good idea to have the phone number of several classmates to see what material and assignments were covered during your absence. If you miss a quiz you cannot gain any points for it. Usually one test score and one quiz score will be dropped each quarter. If you know you will be absent for a test, you may schedule to take it before the actual test date if prior arrangements have been made with the instructor. In the case of an extended illness special arrangements should be made with the Academic Vice Principal, Mr. Trujillo. LIVE UP TO YOUR GOOD NAME You are expected to exhibit the attributes of a St. Francis Golden Knight: courteous attention, gracious cooperation, and dedicated study. Each can readily be seen in the thoroughness and orderliness of your work. Grading Homework=5 points (max.) each week, (roughly 25% of your grade) Quizzes=10 points (max.) each, (lowest quiz is not counted against you--about 20% of your total grade) Chapter Tests=20 points each (lowest test is not counted against you--about 20%) Math projects=10 or 20 points each (about 15%) Quarter Exams=40 points each. (about 20%) Since the number of tests and quizzes and the number of weeks of homework vary from quarter to quarter, the percentages are approximate. The overall letter grades are computed by using the standard percentage ratio: . Since the lowest Chapter Test each quarter is usually not counted, against the overall score, the percentages are NEVER rounded up. That is, they are converted to letter grades strictly as follows: 90% to 100% A 80% to 89.9999% B 70% to 79.9999% C 60% to 69.9999% D 0% to 59.9999% not a D Keep Track of your Grade Here is an example: Item Date Assignment Points Earned Points Possible Total Points Earned Total Points Possible % (Divide the last 2 columns) 1 9/4 Homework 1 9 10 9 10 .90 2 9/4 Quiz 1.1 8 10 17 20 .85 3 9/11 Homework 2 9 10 26 30 .867 4 9/10 Test Ch. 1 17 20 43 50 .86 5 9/13 Computer Project 20 20 63 70 .90 6 9/18 Homework 3 10 10 73 80 .9125 7 9/18 Quiz 2.1 6 10 79 90 .87 8 9/24 Test Ch 2 16 20 95 110 .8636 9 10 11 12 13 14 15 Without dropping the low quiz and the low test scores, the average is 86.36%. To drop the low quiz score (Quiz 2.1 was the lowest--6 points) and the low test score (In this case Chapter 2 Test was 16 points) we subtract the low scores from the total earned (95-6-16=73), and 30 points from the total points possible (110-30=80) Now we divide 73/80 to get an average of .9125 (an A-). In reality, the low scores change throughout the quarter, so it is best to keep track of your grade without dropping any score, knowing that the average will be better when it comes time for the report card grade. Here is a blank table:
Focused, organized, and easy to follow, Glencoe Pre-Algebra shows your students how to read, write, and understand the unique language of mathematics, so they'll be prepared for every type of problem-solving and assessment situation. What You'll Learn and Why it's Important help students identify upcoming concepts and understand how each new concept is relevant for their daily lives. Prerequisite Skills review at the beginning of each chapter, and Getting Ready for the Next Lesson at the end of exercise sets prepare students for success in the following lessons. Reading Mathematics and Writing in Mathematics features and exercises help students master the language of mathematics and prepare them for today's assessment tasks. Preparation for success on standardized tests is enhanced with features such as Chapter Standardized Test Practice and Standardized Test Practice in examples and exercises. Students become familiar with the multiple-choice, short-response/grid-in, and open-ended question formats they'll encounter on local, state, and national tests. Homework Help shows students where to find the text examples they should refer to when completing their homework. The Student Handbook, at the end of the Student Edition, includes Prerequisite Skills, Extra Practice, Mixed Problem Solving, and Preparing for Standardized Tests. New Resources from USA TODAY® Education In an exclusive partnership with Glencoe, USA TODAY®, brings its powerful, one-of-a-kind perspective and dynamic content to the Glencoe Pre-Algebra program. USA TODAY Snapshots®, used in examples and exercises, help students learn to read and interpret real-world data through colorful, relevant graphs and charts. WebQuest Projects in each unit utilize USA TODAY Snapshots® or USA TODAY® articles. Special features in the Student Edition prompt students to complete each stage of their WebQuest over several chapters. Updated content and additional ready-to-use activities are available at pre-alg.com/usa_today. More ideas for integrated USA TODAY® graphics and current information into your mathematics classroom can be found at education.usatoday.com. Teacher Wraparound The Teacher Wraparound Edition offers comprehensive support for both new and experienced teachers. Mathematical Connections and Background for every lesson is provided at the beginning of each chapter.
Search Search the Catalogue Current Catalogue Catalogue Archive Ma120College Algebra 4 credits This course extends the basic algebraic principles of solving and graphing linear equations, quadratic equations and inequalities. In addition, exponential and logarithmic functions and their graphs will be introduced as well as the study of systems of equations and matrices. Students must have a good working knowledge of basic algebra before taking this course. Calculators are permitted but not required. Upon successful completion of this course, students will be prepared to take any upper-level mathematics course at Southern Vermont College.
The third edition of this ground-breaking text continues the authors' goal - a targeted introduction to precalculus that carefully balances concepts with procedures. Overall, this text is designed to provide a solid foundation to precalculus that focuses on a small number of key topics thereby emphasizing depth of understanding rather than breadth of coverage. Algebra is fundamental to the working of modern society, yet its origins are as old as the beginnings of civilization. Algebraic equations describe the laws of science, the principles of engineering, and the rules of business.
Description Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, written in a student-friendly, conversational style, providing solid introductions to relations, functions, and cardinalities of sets About Writing 1. Sets 1.1. Describing a Set 1.2. Subsets 1.3. Set Operations 1.4. Indexed Collections of Sets 1.5. Partitions of Sets 1.6. Cartesian Products of Sets Exercises for Chapter 1 2. Logic 2.1. Statements 2.2. The Negation of a Statement 2.3. The Disjunction and Conjunction of Statements 2.4. The Implication 2.5. More On Implications 2.6. The Biconditional 2.7. Tautologies and Contradictions 2.8. Logical Equivalence 2.9. Some Fundamental Properties of Logical Equivalence 2.10. Quantified Statements 2.11. Characterizations of Statements Exercises for Chapter 2 3. Direct Proof and Proof by Contrapositive 3.1. Trivial and Vacuous Proofs 3.2. Direct Proofs 3.3. Proof by Contrapositive 3.4. Proof by Cases 3.5. Proof Evaluations Exercises for Chapter 3 4. More on Direct Proof and Proof by Contrapositive 4.1. Proofs Involving Divisibility of Integers 4.2. Proofs Involving Congruence of Integers 4.3. Proofs Involving Real Numbers 4.4. Proofs Involving Sets 4.5. Fundamental Properties of Set Operations 4.6. Proofs Involving Cartesian Products of Sets Exercises for Chapter 4 5. Existence and Proof by Contradiction 5.1. Counterexamples 5.2. Proof by Contradiction 5.3. A Review of Three Proof Techniques 5.4. Existence Proofs 5.5. By14. Proofs in Ring Theory (Online) 14.1 Rings 14.2 Elementary Properties of Rings 14.3 Subrings 14.4 Integral Domains 14.5 Fields Exercises for Chapter 14 15. Proofs in Linear Algebra (Online) 15.1 Properties of Vectors in 3-Space 15.2 Vector Spaces 15.3 Matrices 15.4 Some Properties of Vector Spaces 15.5 Subspaces 15.6 Spans of Vectors 15.7 Linear Dependence and Independence 15.8 Linear Transformations 15.9 Properties of Linear Transformations Exercises for Chapter 15 16. Proofs in Topology (Online) 16.1 Metric Spaces 16.2 Open Sets in Metric Spaces 16.3 Continuity in Metric Spaces 16.4 Topological Spaces 16.5 Continuity in Topological Spaces Exercises for Chapter 16 Answers and Hints to Odd-Numbered Section
Little Mathematics Library series Inequalities by P. P. Korovkin In this booklet the author did not pursue the aim of presenting the basic properties of inequalities and made an attempt only to familiarize students of senior classes with some particularly remarkable inequalities playing an important role in various sections of higher mathematics and with their use for finding the greatest and the least values of quantities and for calculating some limits. The book contains 63 problems, 35 of which are provided with detailed solutions, composing thus its main subject, and 28 others are given in Sections 1.1 and 2.1, 2.3, 2.4 as exercises for individual training. At the end of the book the reader will find the solutions to the given exercises. The book was translated the Russian by Sergei Vrubel and was first published by Mir in 1975. PDF | Cover | Bookmarks | OCR | 3.2 MB | 74 pp | 600 dpi Released on TPB by mirtitles.org Contents Preface 6 Chapter 1. Inequalities 7 1.1. The Whole Part of a Number 7 1.2. The Arithmetic Mean and the Geometric Mean 12 1.3. The Number 19 1.4. The Bernoulli Inequality 23 1.5. The Mean Power of Numbers 27 Chapter 2. Uses of Inequalities 32 2.1. The Greatest and the Least Function Values 32 2.2. The Holder Inequality 40 2.3. The Use of Inequalities for Calculation of Limits 43 2.4. The Use of Inequalities for Approximate Calculation of Quantities 49 Solutions to Exercises 58
This scientific calculator is configurable and contains most of the normal functions such as trigonometric and logarithmic functions, conversions, constants, memories and binary and hexadecimal notation. It tries to figure out the best position of the menu, clear and equal but...
Computational Science and Engineering: Matrix Computations •Three great branches of science: Theory, Experiment, and Computation •The purpose of computing is insight, not numbers (1961 Hamming). •Numerical Analysis is Study of Algorithms for Problems of Continuous Mathematics. Ex. Newton's method, Lagrange interpolation polynomial, Gaussian Elimination, Euler's method... •Computational mathematics is mainly based on two ideas (extreme simplification) Taylor series and Linear Algebra . •Role of Computers in Numerical Computing Computers certainly play a part in numerical computing but even if rounding error vanishes, 95 % of numerical analysis would remain. Most mathematical problems cannot be solved by a finite sequence of elementary operations Need: fast algorithms that converge to 'approximate' answers accurate to many digits of precision, in science and engineering applications. Different Types of Problems in Numerical Computing •Problem I: cannot be solved in a finite sequence of elementary operations: •Root for polynomial of degree 5 and higher: no closed form formula exisits (Ruffini and Abel, around 1800) •Finding eigenvalues of an matrix with Minimize a function of several variables •Evaluate an integral •solve an ODE •solve a PDE Problem F is not necessarily easier than Problem I When problem dimension is very high, one often ignores the exact solution and uses approximate and fast methods instead . *** World's largest matrix computation as of April 2007: Google's PageRank - eigenvector of a matrix of order 2.7 billion Square Linear System Solving •When does the solution exist? •When is it easy to solve? •Diagonalization: expensive •Make it triangular: A = LU: lower - upper triangular factors •Gaussian elimination: make the problem into triangular system solving May break down: Even for matrices with the LU factorization, it can be unstable. •Pivoting: By inter changing rows , stability can be achieved. Gaussian elimination with pivoting : Discovery of pivoting was easy but its theoretical analysis has been hard. For most matrices, it is stable but in 1960 Wilkinson and others found that for certain exceptional matrices, Gaussian elimination with pivoting is unstable. Orthogonal (Unitary) Transformations •Use of orthogonal matrices was introduced in late 1950's • •QR factorization: For any matrix a QR factorization of A exists has orthonormal colummns and is upper triangular. Reduced QRD: where •Gram(1883)-Schmidt(1907) orthogonalization: column of Q are obtained and it gets R as a by product in the process of triangular orthogonalization •Modified Gram-Schmidt (Laplace 1816, Rice 1966) •Householder method (1958, Householder reflector, Turnbull and Aitken 1932): A is reduced to an upper triangular matrix R via orthogonal operations. More stable numerically, because orthogonal operations preserve and Frobenius norms and thus do not amplify the rounding errors introduced at each step : •Givens method: extension of 2x2 plane rotations plane rotations: Important matrix computation algorithms in 1960s Based on the QR factorization: •to solve the least squares •construct orthonormal bases •used at the core of other algorithms especially in EVD and SVD algorithms Least Squares •Overde termined system solving •If a square system, we know how to solve: normal equations, or QRD •Reduced QR Decomposition: distance preserving dimension reduction method •QRD: efficient updating and downdating methods exist •Rank Deficiency: Q is not the basis for range(R) if rank(A) is not full •Pivoted QR decomposition, Rank Revealing QR decomposition or the SVD is needed if rank(A) is not full Singular Value Decomposition (SVD) •Beltrami, Jordan, Sylvester, in the late 19th century made well known by Golub 1965 •The SVD: Any matrix (assume but not necessary) can be decomposed into whereis unitary, is unitary, andis diagonal, • is the best rank p approximation of A •singular values of A are the nonnegative square roots of the eigenvalues of •Principal Component Analysis: Let Then the leading singular vectors are the PCA solutions. Let the SVD of is the k principal vectors •But SVD is expensive. Eigenvalue problem •Symmetric vs. Non-symmetric •For which matrices eigenvalues are easy to find? •What transformations allowed? Similarity transformations. Two matrices A and B are similar if for a nonsingular matrix X. Then the characteristic polynomials of A and B are the same.