text
stringlengths 8
1.01M
|
|---|
The courses in the developmental studies curriculum do not count as credit toward graduation. A student should not expect other institutions to accept this course for transfer credit
MATH 090 – PreAlgebra:
PreAlgebra is a first course in algebra for students with no previous experience with algebra or who have been unsuccessful in attempting a course in Algebra at the secondary school level. It enhances your logical reasoning and problem solving skills. This class will help increase your potential for success in college, the job market, and life in general. Successful completion of PreAlgebra will allow a student to take, "General Problem Solving", "Math for Technical Students", or "Introduction to Statistics". The course will develop methods of solving and graphing linear equations and problems involving real life applications. The objectives of the course are to prepare students for the entry level college math courses.
MATH 091 – Introductory Algebra:
Introductory Algebra is a first course in algebra for students with no previous experience with algebra or who have been unsuccessful in attempting a course in algebra at the secondary school level. Introductory Algebra is a class for students who need to improve their mathematics foundation. It enhances the logical reasoning and problem solving skills. This class will help increase your potential for success in college, the job market, and life in general. General education credits will not be given upon completion of this course. Successful completion of Introductory Algebra will allow a student to take Intermediate Algebra", "General Problem Solving", "Math for Technical Students", or "Introduction to Statistics". The course will help students develop methods of solving and graphing linear equations and problems involving real life applications. The objectives of the course are to prepare students for the entry level college math courses.
MATH 093 – Intermediate Algebra:
Intermediate Algebra is a course for students who need College Algebra for their major and did not score the required Math Act of 20. The only students in this class should be those who have 19 on the Math ACT, or have already successfully taken Math 091. Intermediate Algebra is a class for students who need to improve their mathematics foundation. It enhances your logical reasoning and problem solving skills. This class will help increase your potential for success in college, the job market, and life in general. General education credits will not be given upon completion of this course. Successful completion of Intermediate Algebra will allow a student to take College Algebra. The course will develop methods of solving and graphing linear equations and problems involving real life applications. The objectives of the course are to prepare students for the entry level college math courses.
|
More About
This Textbook
Overview
Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences.
Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples.
Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing.
Editorial Reviews
Booknews
A text covering all aspects of polynomial algebra as it pertains to the design of fast algorithms. Describes computational number theory and its applications to deriving fast algorithms for digital signal processing, demonstrates the importance of computational number theory in the design of digital signal processing algorithms, and explains the nature and structure of the algorithms themselves. Focuses on properties of discrete-time sequence indices and the corresponding fast algorithms for processing these sequences. Includes many chapter problems. Later chapters assume familiarity with basics of error control coding
|
Presentations at Professional Conferences
Function Diagrams
Description: An encyclopedic introduction to function diagrams and their pedagogical applications to arithmetic, basic algebra, dynamical systems, and calculus. Much of this illustrated with the help of GeoGebra.
Three Paths to the Quadratic Formula
Description:
A sequence of lessons on parabolas, quadratic functions, and quadratic equations. The unit works well with Algebra 2 students, and includes activities with manipulatives, graphing, and symbol manipulation. These approaches lead to three distinct proofs of the quadratic formula, including a new one.
Bibliography: For the hands-on approach to quadratics and completing the square, see Lab Gear Activities for Algebra 1, by Henri Picciotto, Creative Publications. (It is currently unavailable from the publisher. Contact me if you need it.)
Common Core a closer look
Description:
The Common Core State Standards introduce significant and generally positive changes to the high school math curriculum, but they do not mandate a specific sequence in grades 9-11. This deliberate omission may allow educators to escape the tyranny of tradition, and re-sequence the high school curriculum in a way that is consistent with students' mathematical maturity and brain development, on the one hand, and with the new possibilities offered by advances in pedagogy and by new technologies, on the other. Unfortunately, the large number of standards, and the sequences suggested in the CCSS Appendix undermine these possibilities.
Reimagining High School Math
Description:
High school math classes look very much the same from year to year and from school to school. Yet, other models are possible! In addition, technological advances mean that speed and accuracy are no longer legitimate priorities. We can no longer divorce skills from understanding, nor can we consider obsolete skills to be foundational. What we need is an eclectic mix of approaches that prioritize student learning and habits of mind.
Connecting the Dots
Description:
Accessible hands-on activities on the geoboard (or dot paper) lead to many ideas in arithmetic, geometry, and algebra: equivalent fractions, slope, the Pythagorean theorem, and simplifying radicals. This session is suitable for middle school and high school math teachers who are looking for Common Core-compatible approaches and content which will work with a wide range of students.
Strengthening Mathematics Departments
Audience: This session will be of particular interest to department chairs and anyone involved in school change.
Description: How do we build a culture of teacher collaboration? How do we spread effective approaches across the department? How do we incorporate new ideas into our program? How do we respond to administrative directives, as well as to the needs of our students? What should we ask of our administrators? We will share our tentative answers, and would love to hear yours. Join us in a conversation about what it takes to strengthen a math department.
Teacher Collaboration A key to improving
math instruction
Audience: This session will be of particular interest to department chairs and anyone involved in school change.
Description: Teachers value autonomy and specialization, yet the advantages of collaboration and flexibility are many. So are the complications. Hear the rationale for one department's move to intensive mentoring and the development of a collaborative ethic. I will assess decades of experience in this practice, and reflect upon its impact on teachers, curriculum, pedagogy, and learning.
Escape from the Textbook!
Description:
Almost every off-book activity we plan is well received and leads to greater interest and motivation. Freeing ourselves from set-in-stone curricula allows us to respond to the realities of our classrooms, tackle heterogeneous classes, and implement cooperative and hands-on learning. However pressures of coverage, lack of time, external mandates, and isolation can undermine our efforts. Join an online and in-person network to help each other escape from the textbook for a lesson, a unit, or an entire course. (Co-presented with Carlos Cabana at Asilomar.)
The Geometry of Conic Sections
Description:
Most high school curricula seem to forget that the conic sections are geometric objects! I will explain in several ways that contrary to popular belief, all parabolas have exactly the same shape. I will use interactive software (both 2D and 3D) to construct the conics, prove their reflection properties, and show that they are indeed the result of slicing a cone. Finally, I will explore a question about soccer that unexpectedly leads to a hyperbola.
Nothing Works! The Art of Teaching
Mathematics
Description:
Teaching high school math is a complex endeavor, where apparently contradictory approaches can complement each other: there is no one way that works with all teachers and all students. I will present my mix of techniques for organizing curriculum, sequencing concepts, designing rich activities, working with (somewhat) heterogeneous classes, leading effective class discussions, using cooperative learning groups, assigning homework, assessing student understanding, and other day-to-day concerns.
Infinity An alternate elective after Algebra 2
Description:
Syllabus and highlights of an alternate math elective after Algebra 2, which I have been teaching biennially since 1991: paradoxes involving infinity, proof by contradiction, Cantor's discoveries, mathematical induction, chaos, fractals; connections to literature, philosophy, science, and computer programming. Readily available materials on these subjects tend to be written for either the general public or college students. My presentation will focus on how to make this content accessible in high school.
Description:
Units from a course I developed with my
colleagues in the Math Department at the Urban School of San
Francisco. Our approach is to cover fewer topics in greater depth and to use a variety of learning tools, both manipulative and electronic.
This presentation was initially created by Naoko
Akiyama and Scott Nelson as a one-hour presentation. I joined them to expand it to a three-hour minicourse. Get the
slides.
Bibliography: Much of the material is unpublished, but see
Hands-on approach to quadratics and completing the square: Lab Gear Activities for Algebra 1, by Henri Picciotto,
Creative Publications (It is currently unavailable from the publisher. Contact me if you need it.)
Description:
Make regular polygons, pyramids, prisms, and antiprisms. Explore the relationships between the dodecahedron, the icosahedron, the rhombic triacontahedron, and more... Identify the components of icosahedral symmetry.
A hands-on lab with an amazing manipulative, making connections with many traditional geometry and trigonometry topics.
|
Algebra & Prealgebra Textbooks
Used by most students at one point or another, algebra and pre-algebra textbooks lay the foundation for mathematical understanding. College algebra textbooks and pre-algebra textbooks discuss basic concepts like inequalities, graphing and expressions. Perfect for intro students, algebra and pre-algebra textbooks are also excellent references for more advanced students. Textbooks.com's intermediate algebra textbooks and pre-algebra textbooks are up-to-date and competitively priced to save you the most cash
|
Algebra for the Adolescent
By Michael J. Waski
A new 800+ page publication written in album-style format available to those who have completed an adolescent professional development program. Pages are three-hole-punched, shrink wrapped, and ready to be placed in a binder.
This book is a self-consistent set of lessons based on Montessori Elementary material, uniquely adapted and expanded for the adolescent. The lessons presented are an attempt to summarize what needs to be presented to adolescents for the understanding of the algebra portion of a mathematics program from pre-algebra to calculus, including trigonometry. Also included are lists of materials, sample curriculum maps, and an appendix for geometry. The NAMTA member discount does not apply to this item.
See the table of contents and sample pages posted at left under News & Events.
|
Life of Fred Mathematics
Life of Fred Beginning Algebra
Find out about...
• What it takes to get drafted into the army at age 6
• New milkshake marketing techniques
• How Darlene tries to get Joe to fall in love with her
• About enjambment in the colonel's library...
...while learning all of beginning algebra.
The Expanded Edition of Beginning Algebra contains the content of the original version plus the discontinued Companion Guide. It also has all of the answers worked out in full. Laid out in 108 daily lessons, this hard cover textbook covers everything you need for 1st year highschool Algebra.
If you are jumping into Life of Fred Beginning Algebra from any other math curriculum, we highly recommend that you consider going through the Life of Fred Pre-Algebra 2 with Economics first. The Economics book is a high school level economics course which will provide the foundation in word problems needed to be successful with Life of Fred Beginning Algebra.
Unlike all other math programs, this one also has:
• 2000 digits of pi
• Prof. Fred Gauss's new teaching methods
• Five verses of the country western hit, "She ran away and took the dog"
• How beige, codeine, conscience, counterfeit, deify, efficient, Eileen, Einstein, either, feisty. . . all fit the "i before e rule"
Need a lot of practice or stuck on a particular kind of problem? Requested by many readers, this book contains questions keyed directly to the chapters and topics of Life of Fred: Beginning Algebra. The answer to every problem is worked out in complete detail.
In this book you will find:
• Eleven mixture word problems are each worked out step by step, often using a whole page of explanation for each problem.
• Thirteen quadratic equations solved by completing the square.
• Thirteen examples of two equations with two unknowns solved by the elimination method.
This book is mandatory for those who need it. The Zillions of Practice Problems Slogan: If your cat can work through all the problems in this book, your cat can teach Beginning Algebra at any school in the nation.
Life of Fred Zillions of Practice Problems for Beginning Algebra is a hardcover textbook containing 272 pages. This book is not consumable. All answers are written on separate paper or in a notebook. This is an optional book of extra questions for those who feel the need for extra practice.
This book is not needed if you are using the Expanded Version shown above.
The Companion Guide divides the original Beginning Algebra textbook into daily lessons. It contains answers to all of the questions that do not have answers in the textbook. The Companion Guide also contains many additional beginning algebra exercises for those who want more drills.
Are you teaching a class using the Life of Fred Beginning Algebra? The Companion Guide will provide you with lecture notes and outlines for each lecture. There are additional problems to present at the blackboard that are not in the textbook, additional insights to present in class. It also provides quiz and test materials.
|
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).
|
Mathematics of Egypt, Mesopotamia, China, India, and Islam book by Victor J. Katz
In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. "The Mathematics of Egypt, Mesopotamia, China, India, and Islam" gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors - Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam) - are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text.
Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.
Exploring the standard device, the device with USB plug and upgraded memory, and the color screen device, this title provides you with understandable coverage of the TI-84's updated operating system. It addresses graphing and analyzing functions as well as probability and statistics functions. It explains how to use the calculator for geometry.
Suitable for any maths and science enthusiast, this title gathers more than 110 articles written from 1892 to 2010 that cover statistics, coincidences, chaos theory, cryptography and many other topics.
Author Biography - Victor J. Katz
Victor J. Katz is professor emeritus of mathematics at the University of the District of Columbia. His many books include the textbook, "A History of Mathematics: An Introduction, 2nd ed." (Addison-Wesley). He is the coeditor of "Historical Modules for the Teaching and Learning of Mathematics".
|
books.google.co.jp - This book is for the honors undergraduate or introductory graduate course. Linear algebra is tightly integrated into the text....
この書籍内から
Review: Algebra
ユーザー レビュー - Etta - Goodreads
Abstract algebra is literally the most conceptually difficult subject I've ever studied. Hegel is more comprehensible. So obviously an introductory textbook for it should use clear and consistent ...レビュー全文を読む
|
Summary: These popular and proven workbooks help students build confidence before attempting end-of-chapter problems. They provide short exercises that focus on developing a particular skill, mostly requiring students to draw or interpret sketches and graphs.TextbooksPro Dayton, OH
2nd edition. Book
|
More About
This Textbook
Overview
This is the newly revised and expanded edition of the popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. A new "Sources" chapter points to supplemental literature for readers needing more information on any topic. A novel aspect is the inclusion of working C code for many of the algorithms, with discussion of practical implementation issues. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The code in this new edition is significantly improved from the first edition, and four new routines are included. Java versions for this new edition are also available. All code is accessible from the book's Web site ( or by anonymous ft
|
Math Mammoth Ratios & Proportions & Problem Solving is a worktext that concentrates, first of all, on two important concepts: ratios and proportions, and then on problem solving.
My aim is to... More > provide students with a thorough understanding of ratios and proportions, not only because that is the norm for 6th grade, but also because they are used so much in everyday-life applications, and because they are a natural extension to go to after the student understands the basics of fractions.<The key to doing well on the SAT Math is knowing how to set up and solve word problems.
The SAT Math Review Book for People Who Hate Math differs from the other books on the market because it gives... More > you in-depth teaching on word problems. By studying this book, you will learn how to set up and solve different kinds of word problems: distance, rate of work, mixture, age, money, Pythagorean Theorem problems and many more.
In addition to word problems, the book contains a complete review of arithmetic, algebra, and geometry
Instead of spending four years at your "safety school," get into the college of your dreams by scoring well on the SAT.< Less
|
S. S. M. Precalculus
9780495382874
ISBN:
0495382876
Edition: 11 Pub Date: 2007 Publisher: Cengage Learning
Summary: Check your work-and your understanding-with this manual, which provides solutions for all of the odd-numbered exercises in the text. You will also find strategies for solving additional exercises and many helpful hints and warnings.
Cole, Matt is the author of S. S. M. Precalculus, published 2007 under ISBN 9780495382874 and 0495382876. Two hundred sixty S. S. M. Precalculus textbooks are available for sale ...on ValoreBooks.com, twenty eight used from the cheapest price of $5.30, or buy new starting at $32
|
Prime Factorisation, Common Factor, Common Multiple, Simplifying algebraic expressions, Solving equations, Straight-line graphs, Simultaneous equations. Inequalities. GCSE Mathematics - Series of Five Two Hour Lessons GCSE Mathematics - Specally designed course The course will help students improve understanding and achievement of a number of...
The course covers everything from the basics like addition, subtraction, multiplication and division through to more complex subjects, such as algebra. And because you progress through the course at your own pace, you'll soon feel your confidence and ability in the subject grow. Suitable for: With this GCSE qualification, a number of differentThis course covers numeracy, algebra and data handling, shapeand space. You will have access to state-of-the-art maths softwareand will develop your skills in a supportive and caringenvironment. Suitable for: This course suits those who don't have much time during the daybut would like to get back into the habit of academic study. Thisis an...
Students that undertake the GCSE Mathematics course will start with the basics, learning to solve numerical problems and make calculations. You'll learn about number systems and progress to algebraic equations, formulae, graphs and functions. You'll also explore geometry and discover ways to calculate the qualities of various shapes and work out...
You will need GCSE Maths if you plan to go to University or do a full teacher training qualification, and many employers also require it. Your teacher will help you to develop your understanding of areas such as percentages, algebra, trigonometry and geometry, and to learn how to use graphs and statistics. You will be taught using real-life...
|
use a TI83+, not a voyager2000, but I found TICalc very helpful. They have all sorts of tutorials. Just download programs, look at them, and watch what they do. Also, read the manual so you know what format everything takes, that is the most useful knowledge, the format every instruction takes.
|
Pre-Algebra: Equations and Other Tips
Date: 08/30/97 at 11:13:13
From: Erik Sull
Subject: Math Help
This year I am in Pre Algebra. I'm in 8th Grade; can you give me tips
on equations and other things that will be useful for me to know?
Date: 08/31/97 at 15:12:31
From: Doctor Guy
Subject: Re: Math Help
I'll try to give you a few tips about equations.
Remember that mathematics is, for most people, a way of understanding
the world better and solving real problems that come up. To me, the
essence of algebra is translating what appear to be messy problems
involving, perhaps, entire paragraphs of explanations and/or diagrams,
into short, easily-understood symbols (equations). These equations can
be manipulated, using fairly simple rules, allowing you to solve them
and to come up with answers to problems that would be otherwise
extremely difficult to answer. This is why, as a society, we want just
about everybody to have some understanding of algebra at some level.
Of course, it is also necessary that you understand the rules of
arithmetic involving whole numbers, decimals, fractions, and percents.
I'm sure that your pre-algebra class will involve that as well. I do
not know how well you perform in arithmetic, but if you have problems
with that, then be sure to pay attention to the explanations that your
teacher and your textbook give in that area.
It may help if I give an example of a relatively easy problem, to show
how it can be handled via algebra. Here is the problem:
Alfeda Baxter wants to rent a car in order to visit some business
clients in the San Francisco Bay Area next week when she flies in
for a week-long business trip. She calls up two auto-rental
agencies and gets price quotes from each. Dependable Rent-a-Car
will rent her a mid-sized sedan for $143.00 for the week, and
13 cents per mile driven; she has to pay for her own gasoline.
Reliable Automobile Rentals will rent her the same sized car
for $129.00 for the week, and charges 28 cents per mile driven.
They are equally convenient companies about which she has heard
equally good things.
Ms. Baxter is not quite sure how many miles she is going to drive
during the week, but it might be a lot. Since all of these
transportation costs are going to come out of her own pocket, she
wants to hold the cost as low as possible. The question is, at how
many miles does the car from Reliable Auto Rentals become as
expensive as the one from Dependable Rent-a-Car? Based on that,
Ms. Baxter can make a decision on which company to rent from.
That's a pretty long problem, but it can be translated into symbols
pretty easily. The first step is to ask, "what is the question?" The
question is, how many miles would she have to drive so that the RAR
car would cost the same as the DRAC car.
Since the question involves miles, we may as well now do one of the
next important steps, choosing a variable. Let's use M for miles.
Now let's look back at the information about RAR: the cost there is
$129.00 plus 28 cents per mile, or $0.28 times the number of miles.
We can translate that into an expression,
[Cost at RAR, in dollars] = 129.00 + 0.28 * M
Note that I use "*" to mean multiplication. I could also have writtten
129 + .28M (notice that I dropped unnecessary zeroes and omitted the
times sign; that is legal--it still means 28 cents times M).
Now at DRAC, the cost is $143.00 plus 13 cents per mile, or
[Cost at DRAC, in dollars]=143.00 + 0.13 * M.
Remember, the question was, at how many miles are these two costs
equal? Well, to find that out, all we need to do is to write an
equation that states that they ARE equal, and then we use some rules
of algebra (which I will explain as we go along) to find out what M
is, i.e. the number of miles. Here goes:
[Cost at RAR, in dollars] = [Cost at DRAC, in dollars]
Now we substitute equal things for equal things (important rule) and
get
129 + .28 * M = 143 + .13 * M
The next general idea is to get M on one side of the equation and all
the numbers on the other, by multiplying, dividing, subtracting, and
adding the same thing to both sides. The main rule to remember is that
you have to do the same thing to both sides of the equation. I think I
want to get M on the left-hand side of the equation, and get everything
else on the right. First I will subtract 129 from both sides.
129 - 129 + .28*M = 143 - 129 + .13 * M
which simplifies to
0 + .28 * M = 14 + .13 * M
When you add 0 to anything, it stays the same:
.28 * M = 14 + .13 * M.
Another important rule you need to know: Multiplication and division
come before addition and subtraction when evaluating an expression.
Since we do not know what M is, we cannot simply add the 14 and the
.13*M in the previous line to get 14.13*M. I want to get all the M's
on the lefthand side of the equation, so we CAN subtract .13*M from
both sides of the equation:
.28 * M - .13 * M = 14 + .13 * M - .13 * M
We can now use the distributive property (have you learned it?) and
get
(.28-.13)*M = 14 + 0 or
.15 * M = 14
Now we want to find M, so we can divide both sides by .15
.15 * M / .15 = 14/.15
On the left, .15/.15 equals 1 and 1 times M is M; so M = 14 / .15, and
I will now use a calculator to find 14/.15, or M = 93.33333333 miles.
What does this mean? It means that if Ms. Baxter drives 93 and 1/3
miles that week, then the two car companies' prices are the same. If
she drives less than that, then Reliable will be cheaper. If she
drives more than that, then Dependable will be cheaper. So all she has
to do is to estimate how many miles she thinks she will drive, and she
can take her pick.
Now you may not have understood each step; I went rather fast. Perhaps
you see why we take several months teaching this stuff to students--
there is a lot to learn. Good luck this year, and if you have a
specific question you need help with, don't hesitate to e-mail us. You
may also be able to find specific answers to questions in our
archives.
-Doctor Guy, The Math Forum
Check out our web site!
|
Abstract
Preface: The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition....
|
The aim of a travelling salesperson problem is to visit every vertex of the network and return to the starting vertex using the route that has the minimum total weight.
The problem requires students to find the best route for a courier to take to deliver parcels to a number of towns and return back to base.
Travelling salesperson…
The aim of the route inspection problem is to find a route that is as short as possible yet goes down every road once and returns to the starting point. The task informs students that there has been a heavy snowfall overnight and that the students are required to clear the roads in the town centre as quickly as possible, then return…
Many topological graphs have edges that cross. The aim is to re-draw the graph in such a way that none of the edges cross. The task informs students they are required to design a printed circuit board and since the wires are not insulated they must not cross.
Planarity: presentation - an introduction to the problem outlining the…
The aim of a minimum spanning tree is to connect every vertex of the network using the edges having the least possible total weight. The task requires students to analyse information about a town centre and suggest which roads should be pedestrianized.
Minimum spanning tree: presentation - an introduction to the problem outlining…
A matching is a set of edges on a bipartite graph in which no two edges share a common vertex. A bipartite graph consists of two sets of vertices X and Y. The edges only join vertices in X to vertices in Y. A matching in a bipartite graph is the pairing of some or all of the vertices in X with some or all of the vertices in Y. If…
Linear Programming involves creating a function that represents a real life problem. The aim is to optimise this function given certain constraints. Simple examples of linear programming will have few variables and constraints, however, real life situations will have many more variables and constraints that will need to be considered.
Problems…
The network flow problem involves finding the optimum route through a flow network; a directed graph where each arc has a capacity and each arc receives a flow. Typical examples include: evacuation plans and delivery services.
The problem involves students analysing the plan of a school canteen and deciding whether, given relevant…
Dijkstra's algorithm finds the shortest path for a given problem. Dijkstra's algorithm can be used to find the shortest route between two cities. This algorithm is so powerful that it not only finds the shortest path from a chosen source to a given destination, it also finds all of the shortest paths from the source to…
Critical path analysis is a project management technique and is used to lay out all of the activities which are needed to complete a task. Starting some activities will depend on completing others first, while independent activities can be started any time. Critical path analysis helps to predict the project completion time.
The…
The purpose of bin packing is to pack a collection of objects into containers called bins. The bins are all the same size and the objects to be packed are different sizes. The aim is to pack the objects into the bins using the fewest possible bins. In this example students are asked to save computer files onto a CD.
Bin packing:
This interactive resource, produced by the University of Leicester, is designed to enable students to explore vectors, beginning with the definition of a vector followed by the algebra of vectors and the scalar product.
The opening slides of the presentation explain the difference between scalar and vector quantities followed…
This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of shapes including translation by a vector, stretches, rotations around a point, reflection in the axes and reflections in the lines y=x and y=-x.
The first activity draws a parallelogram which is translated…
This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of functions including translations, stretches, reflection in the axes and rotations.
The first activity uses function notation to explore translations parallel to the x axis and translations parallel…
This interactive resource, produced by the University of Leicester, is designed to enable students to explore the nature of the exponential function and to explore the derivative of the exponential function.
An introduction page sets out some basic information about exponential functions leading to a definition of the exponential…
This interactive resource, produced by the University of Leicester, is designed to enable students to explore what is meant by a quadratic equation, the meaning of the coefficients of a quadratic equation and to be able to solve quadratic equations.
An introduction page gives examples of where quadratic equations can be found…
This interactive resource, produced by the University of Leicester, is designed to enable students to explore the differential function of a polynomial and conclude by forming a generalisation.
An instruction page explains to students that they should draw a polynomial. Then by sliding the slider the gradient of the curve is plotted,Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation looks at the theorem of cross-ratio, of four complex numbers, which is of great interest in a field of mathematics known as projective geometry and has an ancient history.
The activity is designed to explore aspects of the…
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation investigates the value of π in different types of geometry and provides a link for students to experiment with Hyperbolic geometry. The classic definition of a distance function, or metric, is given and a version of the Manhattan…
Carom Maths provides this resource for teachers and students of A Level mathematics.
Cyclotomic polynomials are explained in this presentation, which uses a regular polygon to illustrate the complex roots of unity and establish which of those are primitive, before demonstrating some intriguing algebra.
The activity is designed…
Carom Maths provides this resource for teachers and students of A Level mathematics.
The Fibonacci sequence is an example of a linear recurrence relation (LRS). A matrix is used to calculate future terms, as well as running the sequence backwards to see how many zeroes appear. Algebra is used to prove the maximum number of zeroes…
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation shows how, when placing triominoes onto a chessboard, there is always one empty square. An algebraic proof is developed to show that the empty square will always appear in the same location, or in one of its rotations.
The…
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation uses the fact that 1729 is the smallest number that can be expressed as two cubes in two different ways to introduce the topic of Elliptic curves, which are used more and more in the field of number theory.
The activity is…
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation begins by introducing students to the technique used to find the radical of an integer before progressing to the ABC conjecture, which is recognised by mathematicians as being an important unsolved problem in number theory.
The…
Carom Maths provides this resource for teachers and students of A Level mathematics.
A triangle can have more than one centre and this presentation demonstrates the application of vectors, in three different situations, to show that the circumcentre, the centroid and the orthocentre of a triangle are indeed positioned at the centre…
Carom Maths provides this resource for teachers and students of A Level mathematics.
This presentation demonstrates how the interesting idea of Hikorski triples was developed from writing a GCSE Equations worksheet in 2002. The triples are identified as (p, q, pq+1/p+q).
The activity is designed to explore aspects of the subject…
Carom Maths provides this resource for teachers and students of A Level mathematics to explore aspects of the subject which may not normally be encountered, to encourage new ways to approach a problem mathematically and to broaden the range of tools that an A Level mathematician can call upon.
This presentation on Quadratic reciprocity…
|
Math Resources for Calculus-Based Physics
Math Handouts (pdf).
Calculus is a co-requisite (rather than a prerequisite)
for the calculus-based physics course that I teach at
Saint Anselm College. The math handouts
address calculus topics that students encounter in
the physics course before they see them in their
mathematics course.
Average with Error
Spreadsheet A spreadsheet set up to determine the mean
and standard deviation of a column of values entered by
the user and to display the distribution as a bar graph
along with a scaled gaussian curve determined from the
mean and standard deviation. The curve aids the
user in judging whether the data is part of a gaussian
distribution.
Gaussian Error
Propagation Spreadsheet A spreadsheet set up to determine the
distribution (mean and standard deviation plus a
histogram) for the case of a function of one to six
variables when each of the variables is characterized by
a guassian distribution of known mean and standard
deviation.
Math Skills Video The pdf file
contains an outline of the topics covered on the math
skills video and the mov file is a QuickTime movie in
which the pre-calculus math skills needed for either
an algebra-based or a calculus-based physics course
are reviewed. The mp4 file is the same video in a
different format. Click on the link to play
the video, RIGHT click on it to download. This
video is also avaliable on YouTube at MathSkillsVideo.YouTube.
Math Problems Video The pdf file is a set of 22 pre-calculus
mathematics problems. The mov file is a QuickTime
movie in which the solutions to the mathamatics problems
are presented. The mp4 file is the same video in a
different format. Click on the link to play the
video, RIGHT click on it to download. This video is
also avaliable on YouTube at MathProbsVideo.YouTube.
Calculus ScreenCams A set of six short Lotus ScreenCam movies in
the form of executable (.exe) files compressed into
one zip file. You need to be running Windows to
play these. The movie titles are: Derivatives,
The Chain Rule for the Function of a Function,
Taking the Derivative of a Power Function, The
Chain Rule for the Product of Two Functions,
and Finding the Extrema of a Function .
|
Books tagged: algebra
The adult filter is active; content marked as adults-only by the author is not listed.
Full Search
Found: 40 results
Calculus Fundamentals Explained by Samuel Horelick
Price:
$9.00 USD.
Approx. 34,400 words.
Language:
English.
Published on October 4, 2009.
Category:
Nonfiction.
This textbook is written for everyone who has experienced challenges learning Calculus. This book really teaches you, helps you understand and master Calculus through clear and meaningful explanations of all the ideas, concepts, problems and procedures of Calculus, effective problem solving skills and strategies, fully worked problems with complete, step-by-step explanations.
The Point of Origin by Duke and Nancy Kell
Price:
$2.99 USD.
Approx. 60,640 words.
Language:
English.
Published on June 28, 2010 by
Two Two Productions.
Category:
Fiction.
The answers to most of our questions have always been there, but our failure to connect the dots could mean the destruction of the human race. Archaeologist Tiffany Gerardo, and lab assistant Brian Brady, Find themselves entangled in a dangerous web. Guided by the Hopi's prophecy, and weaving through the foundation of what they thought they knew, they must find the truth.
Practice Makes Perfect in Mathematics: Algebra (Volume 2 of 2) by John Parnell
Price:
$4.99 USD.
Approx. 35,600 words.
Language:
English.
Published on August 13, 2010.
Category:
Nonfiction.
One of the best ways to succeed in Algebra is to practice taking real test questions. This ebook contains over 1,000 problems on Algebra divided into thirty-two chapters. Try the problems. Check your answers. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!Linear Equation Practice in Elementary Algebra, Grades 6-8 by Ned Tarrington
Price:
$1.99 USD.
Approx. 8,020 words.
Language:
English.
Published on October 6, 2011.
Category:
Nonfiction.
Practice solving linear equations with these fifty problems in elementary algebra. The student selects a single variable linear equation, solves for the variable, and checks the answer by viewing the step-by-step solution. Problems start with low difficulty and gradually increase to challenging. Most appropriate for 6th to 8th grade students.
|
....
Show More. With "Geometry Demystified", you master the subject one simple step at a time - at your own speed. This unique self-teaching guide offers multiple-choice questions at the end of each chapter and section to pinpoint weaknesses, and a 100-question final exam to reinforce the entire book. Simple enough for beginners but challenging enough for advanced students, "Geometry Demystified" is your direct route to learning or brushing up on this essential math subject. Get ready to: learn all about points, lines, and angles; figure out perimeters, areas, and volumes; improve your spatial perception; envision warped space and hyperspace; and much
|
New and Published Books
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the...
Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.
The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and...
This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory...
A Geometry Toolbox, Third Edition
Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third Edition teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. Designed for a one-semester linear algebra course at the undergraduate level, the book gives...
An Introduction to Classical Number Theory
Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic...
This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields, describing vector fields in three-dimensional Euclidean space, triply-orthogonal systems and applications in mechanics. Topics covered include Pfaffian forms,...
Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations.
After introducing all of the necessary fundamentals of algebraic systems, the...
Topology is a large subject with many branches broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad variety of mathematical disciplines. Algebraic topology serves as a powerful tool for studying the problems in...
Group inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models. Group Inverses of M-Matrices and Their Applications highlights the importance and utility of the group...
For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more...
|
An interactive resource to explain engineering concepts and theory through Maple and MapleSim.
New to Maple? These tutorials demonstrate Clickable Math techniques for solving the most common math problems.
With the right tools, you can do amazing things.
Maple will help you reduce the time to do any math problems. Graphing, calculus, equation solving, matrices... anything you'll likely encounter in a math course can be made easier. The Student Help Center is made specifically for you, with the right information to help get you up to speed and fully command the power of Maple.
|
Putting the Strategies to Work
Getting Started with Solving Equations
How do you begin teaching students algebra? One simple method is to provide them with basic equations such as those shown below. Once students recognize the similarities between algebraic equations and number problems, they will be ready to learn about higher order equations.
Practice using algebra by solving for the unknown variable in each of the equations below.
Let's begin! Solve each problem, and type the correct answer in the box. When you are finished with the entire set, click on Check My Answers to see how you did.
How did you do? Did you solve the algebraic equations like you would have solved basic math problems? Solving for the unknown in basic equations is a good way to introduce your GED students to algebraic thinking before they move on to higher order algebraic skills.
|
Elementary Algebra, Non-MediaAlgebra is accessible and engaging with this popular text from Charles Pat" McKeague! ELEMENTARY 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-world applications in every chapter of this user-friendly book highlight the relevance of what you are learning. And studying is easier than ever wit... MOREh the book's multimedia learning resources, including ThomsonNOW for ELEMENTARY ALGEBRA, a personalized online learning companion.
|
This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Topics and features: provides theoretical...
The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions ? Algebraic... more...
|
Advanced Placement Calculus AB
'11 – '12 School Year
Mrs. Jami Gore
jgore@nthurston.k12.wa.us The Hawk Way
Hawks are:
House A Respectful
Room 113 Responsible
Honorable
(360) 412-4820 Successful
COURSE DESCRIPTION
This course introduces students to the four major concepts found within a typical first semester
of calculus: limits, derivatives, and definite and indefinite integrals. We will use a variety of
ways to approach and solve problems: numerical analysis (using known data points), graphical
analysis (using a known graph), algebraic analysis (using an equation and variables), and
verbal/written methods of representing problems (including justification of one's thinking). A
detailed list of topics can be found in the AP Calculus Course Description, which is available at
the school or online at This class is designed to prepare
you for the AP Calculus Test! The test date is Wednesday, May 9th at 8:00 a.m..
PRIMARY TEXT BOOK
Foerster, Paul. Calculus: Concepts and Applications. Berkeley, CA: Key Curriculum
Press, 1998.
CLASSROOM PROCEDURES & POLICIES
Good attendance is critical for success in Mathematics. The school's Attendance and Tardy
Policy is strictly enforced. When absent, it is the student's responsibility to obtain and
complete the missed assignments and notes.
NO electronic devices will be allowed in class. This includes cell phones, ipods, etc.
Academic dishonesty will NOT be tolerated. Any student who is caught cheating on any
individual test, quiz, or assignment will receive an automatic zero for that assignment with no
chance to retake.
TECHNOLOGY
The AP Calculus curriculum demands the use of a graphing calculator. Because of this
requirement, each student should have their own TI-83 or TI-84 graphing calculator. Other
graphing calculators could be used, but support of those calculators will not be offered in this
course. Calculators for student use may be checked out in the library for the school year. We
will use graphing calculators to help solve a variety of problems, including: estimate limits,
determine asymptotic behavior, estimate roots, find points of intersection, calculate numerical
differentiation and perform numeric integration. We will also use graphing calculators to
experiment with and investigate. This includes investigating different functions, exploring the
numerical approach to limits, derivatives and integrals, and exploring the continuity of a
function. Finally we will use graphing calculators to interpret results, support conclusions, and
check solutions. Half of the AP Calculus exam requires the use of a graphing calculator so you
must be comfortable and confident in using one.
GRADING
The overall grade will be determined (approximately) as follows:
Grading scale:
Free-Response Quizzes: 20% 85% - A
70 - 84% B
Homework/Class Participation: 30% 55 - 69% C
50 – 54% D
Tests/Projects: 50% Below 50% F
*I will follow the River Ridge grade incentive program. This states that if you pass the official
AP exam with a 3 you can move one semester grade up by one letter grade. If you earn a 4 or 5
on the AP exam you can change one semester grade to an A. To take advantage of this you must
bring proof to the main office (score reports usually arrive in July.)*
Projects
We will have one major project each quarter of both semesters. All projects will include
numeric, graphic, and algebraic analysis as well as written justification or explanation. They will
each be weighted the same as one unit test.
Late/Make-Up Work:
One school day will be allowed for each day missed upon return to school. Make-up work is
accepted for excused absences only.
No late assignments or projects will be accepted for credit.
Course Outline
By successfully completing this course, you will be able to:
Work with functions represented in a variety of ways: graphically, numerically, analytically,
or verbally, and understand the connections among these four representations.
Understand the meaning of the derivative in terms of a rate of change and local linear
approximation and be able to use derivatives to solve problems.
Understand the meaning of the definite integral as a limit of Riemann sums and as the net
accumulation of change and should be able to use integrals to solve problems.
Understand the relationship between the derivative and the definite integral as expressed in
the Fundamental Theorem of Calculus.
Communicate mathematics and explain solution to problems verbally and in written
sentences.
Work effectively as part of a group or team of students to solve problems and present their
solutions.
Model a written description of physical situation with a function, differential equation, or an
integral.
Use technology to help solve problems, experiment, interpret results, and support
conclusions.
Determine the reasonableness of solutions.
Develop an appreciation of calculus as a coherent body of knowledge and as a human
accomplishment!
Units and Pacing: (Sections with an * indicate that they are BC topics only.)
All other sections are covered on both the AB and BC exam.
Chapter 1: Introduction to Limits, Derivatives, and Integrals (7 days)
Section 1: Instantaneous rate of change as the limit of average rate of change
Section 2: Approximate rates of change from equations, graphs, and tables
Section 3: Estimating definite integrals
Section 4: Using the Trapezoidal Rule to estimate definite integrals from equations and tables
Section 5: Derivative as an instantaneous rate of change
Chapter 2: Properties of Limits (14 days)
Section 1/2: Exploring the Definition of Limit by graphical, numerical, and algebraic techniques
Section 3: Using the Limit Theorems
Section 4: Using the Definition of Continuity to tell whether a function is or is not continuous
Section 4: Exploring piecewise functions and continuity
Section 5: Limits involving infinity
Section 6: The Intermediate Value and Extreme Value Theorems
*Our first unit assessment will be after Chapter 2 and will cover Limits*
Chapter 3: Derivatives, Antiderivatives, and Indefinite Integrals (14 days)
Section 1: Using difference quotients to estimate the slope of a tangent line and understanding
the graphical implications
Section 2: Using the Definition of Derivative (at a point) to find derivatives
Section 3: Comparing functions and their derivatives numerically and graphically
Section 4: Using the (general) Definition of Derivative to find derivatives of Power Functions
Section 5: Displacement, Velocity and Acceleration relationships.
Section 6/8: The derivative of sine and cosine.
Section 7: Chain Rule
Section 9: Exponential and Logarithmic derivatives.
*Our second unit assessment will be after Chapter 3 and will cover Basic Derivatives*
Chapter 4: Products, Quotients, and Parametric Functions (20 days)
Section 1: Making conjectures to find the derivative of combinations of functions.
Section 2: Using the Product Rules to find derivatives
Section 3: Using the Quotient Rules to find derivatives
Section 4: Finding the derivatives of Trigonometric Functions
Section 5: Finding the derivatives of Inverse Trigonometric Functions
Section 6: Relationship between differentiability and continuity.
*Section 7: Derivatives of a Parametric Function*
Section 8: Differentiating implicit relations
Section 9: Related rates.
*Our third unit assessment will be after Chapter 4 and will cover Differentiation*
Chapter 5: Definite and Indefinite Integrals (20 days)
Section 1: Exploring the definite integral
Section 2: Linear Approximations and Differentials
Section 3: Formal Definition of the Indefinite Integral
Section 4: Riemann Sums and Definite integrals
Section 5: The Mean Value Theorem
Section 6: The Fundamental Theorem of Calculus
Section 7: Definite integral practice
Section 8: Applying definite integrals to area
Section 9: Volume of a Solid by Plane Slicing
Section 10: The integration feature of you graphing calculator
*Our fourth unit assessment will be after Chapter 5 and will cover Integrals*
*This should be the LAST assessment for 1st semester*
Chapter 6: The Calculus of Exponential and Logarithmic Functions (12 days)
Section 1: Integral of the reciprocal function
Section 2: Antidifferentiating the Reciprocal Function
Section 3: Properties of Logarithmic Functions
Section 4: Exploring e and the change of base theorem.
Section 5: Limits of Indeterminate Forms: I' Hospital's Rule
Section 6: Derivative and integral practice.
*Unit Assessment*
Chapter 7: The Calculus of Growth and Decay (10 days)
Section 1: Expressing exponential growth and decay as a direct proportion
Section 2: Separating and integrating differential equations
Section 3: Applications for Differential Equations
Section 4: Slope Fields
*Section 5: Euler's Method*
*Section 6: Logistic differential equations and modeling*
*Unit Assessment*
Chapter 8: The Calculus of Plane and Solid Figures and Other Topics (16 days)
Section 1: Exploring cubic functions and their derivatives.
Section 2: Finding critical points from derivatives.
Section 3: Using derivatives to solve Maximum & Minimum problems
Section 4: Finding the area of a plane region
Section 5: Finding volume by plane slicing
Section 6: Finding the volume of a solid of revolution by using cylindrical shells
*Section 7: Lengths and Areas for Polar Coordinates*
*Unit Assessment*
*Chapter 9: Techniques of Antidifferentiation* (15 days)
*Section 2: Integration by Parts*
*Section 3: Rapid Repeated Integration by Parts*
*Section 6: Integration by Trigonometric Substitution*
*Section 7: Integration of Rational Functions by Partial Fractions*
*Section 10: Improper Integrals*
Chapter 10: The Calculus of Motion (10 days)
Section 1: Distance and Displacement for Motion along a Line
Section 2: Distance, Displacement and Acceleration
Section 3: Average Value of a Function
Section 4: Related Rates
Section 5: Maximum and Minimum Problems in Motion
*Section 6: Vector Functions for Motion in a Plane*
*Unit Assessment*
*Chapter 12: The Calculus of Functions Defined by the Power Series* (20 days)
*Section 1: Introduction to Power Series*
*Section 2: Geometric Sequences and Series as Mathematical Models*
*Section 3: Power Series for an Exponential Function*
*Section 4: Power Series for Other Elementary Functions*
*Section 5: Taylor and Maclaurin Series*
*Section 6: The Ratio Technique*
*Section 7: Convergence of Series (including harmonic series and the integral test)*
*Section 8: The Lagrange Error Bound
|
Numerical Mathematics and Computing - 6th edition
Summary: Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' high...show morely regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION29.41 +$3.99 s/h
Good
Georgia Bookstore Atlanta, GA
2007 Hardcover Good
$29.42 +$3.99 s/h
Good
Bookmans AZ Tucson, AZ
2007 Hardcover Good Satisfaction 100% guaranteed.
$30272532.61
|
Algebra 2/Trigonometry
Course Information
The students will work with the three basic trigonometry functions in a variety of ways; proving identities, solving for angles or length of a side of a triangle. Also, they will work with the exponential and logarithmic functions. They will apply transformations to functions and graphs. Students will solve quadratic equations over the complex number system. Students will use a calculator to find mean and standard deviation and their application to the bell curve. Students will find the probability of success in an experiment with two outcomes. Students will take the Algebra 2 and Trigonometry Regents examination in June.
|
Introduction to Closure Systems
978143981991326 notion of closure pervades mathematics, especially in the fields of topology and projective geometry. Demonstrating this pervasiveness in the field, this graduate-level book provides a complete introduction to closure systems. With an emphasis on finite spaces and algebraic closures, the text covers graph theory, ordered sets, lattices, projective geometry, and formal logic as they apply to the study of closures. Each chapter presents a vignette to illustrate the topic covered. The author also includes numerous exercises as well as concrete examples to support the material discussed.
|
MTH 101
Pre Calculus
Course info & reviews
Algebraic equations and simplification: factoring, common denominators and conjugates. Graphs of equations. Lines, quadratic curves: equations and graphs. Graphing curves with intercepts and asymptotes. Examples using algebraic, logarithmic and exponential and trigonometric functions. Use of mathematics technology. Limited to 25.
|
Calculus Textbooks
So, maybe you already know a lot about calculus and don't need a briefing. But for all of us right-brainers out there, here are the basics: calculus textbooks are a sub-category of mathematics textbook that studies change. Generally, you'll see two branches of calculus textbook: differential calculus and integral calculus. Textbooks.com has both types of calculus for students of all levels, from pre-calculus textbooks to rigorous advanced calculus textbooks for upper-level college courses
|
Purpose and Philosophy
Welcome to Mathipedia, a site designed to provide easy access to free mathematics resources with the following in mind:
1. Focus on better math education for everyone - students, teachers, parents, and anyone else that wants to learn more about mathematics and all it has to offer.
2. Simplicity. Simplicity. Simplicity. What ever we say or do, it has to be easy to understand and easy to use.
3. Freedom. No advertisements, subscriptions, or hoops to jump through. Just good material that's free and easy to use and share.
Why did we create this site?
There are literally millions of math websites online and we must acknowledge all the amazing math educators that have put so much time and energy into creating these sites in order to provide their resources, ideas, and expertise to a global audience. However, in browsing through these sites, there are a few things that we noticed that inspired the creation of Mathipedia:
Firstly, the majority of math websites out there are focused on elementary education. The bulk of resources, lessons, worksheets, etc. that are on the web contain material for grades K-5. Unfortunately, those that really struggle with mathematics and need these sites are usually not elementary students. They are tech savvy secondary students, college students, and adults that just never connected with certain concepts as they went through school. They are algebra students, trig students, and calculus students that just need a little extra help or need to have something explained in a different way. They are math phobics, math haters, and those with serious anxiety that just cannot deal with learning math in a classroom full of people. These people represent our key audience - those that need some kind of math resource and know how to use the web as a guiding tool to seek out the information they need.
Secondly, because of the focus on younger ages, most math websites out there are full of flashy, attention-grabbing graphics, games, and links aimed at keeping young children entertained. This unfortunately makes many math websites extremely cumbersome to navigate if you are really looking for substantial content. Furthermore, those that do have really great layouts and excellent content often have a price tag attached or require a subscription. This is where simplicity comes into play. Our goal was to design this site in such a way that made it free, easy to navigate, and did not contain all the other advertisements, games, and flashy distractions that take away from why you came in the first place - to learn something about math.
Thirdly, many of the math websites out there specialize in only one or two things. Many sites are dedicated to only tutorials or only videos, or only lesson plans or only links or....you get the idea. Why not take all these wonderful ideas and put them in one place? Teachers can get worksheets and lesson plans and have a forum for discussion all in one place. Students can find tutorials and videos and links and study tips all in one place. Parents can get concrete examples and extra practice resources and tips for helping their child all in one place. Plus, it's simple in design and easy to navigate.
Finally, we live in a web 2.0 world whether we want to admit it or not. In the field of technology, students are advancing exponentially faster than the schools they are attending and the gap is only getting wider. Math cannot and should not be taught the same way it was 50 years ago, 20 years ago, or even 10 years ago. We must meet students where they are and right now that is in the world of web 2.0 technology. Therefore we need a place where students can utilize the web to gather information and do it in a way that is meaningful, efficient, and tailored to their needs. They need a place to interact, to create, to explore, and to save, evaluate, and edit the information they find. This is what we strive to do. We have forums to invite online discussions. We have links in del.icio.us to make use of the technology of tagging, sorting, and sharing bookmarks. We have a Netvibes page to provide RSS feeds to real math conversations occurring between real students, teachers and parents that are updated at the speed of conversation. We have a Twitter account to provide updates on the status of our site and to share interesting links and resources we find.. Everything we do is meant to utilize the vast resources that are available on the web to make learning individualized, efficient, and interactive.
|
Practice Makes Perfect Algebra (Practice Makes Perfect (McGraw-Hill))
Book Description: A no-nonsense, practical guide to help you improve your algebra skills with solid instruction and plenty of practice, practice, practice Practice Makes Perfect: Algebra presents thorough coverage of skills, such as handling decimals and fractions, functions, and linear and quadratic equations. Inside you will find the help you need for boosting your skills, preparing for an exam or re-introducing yourself to the subject. More than 500 exercises and answers covering all aspects of algebra will get you on your way to mastering algebra
|
Nevada State Standards for Mathematics: Grade 82.
Determine an efficient strategy, verify, interpret, and evaluate the results with respect to the original problem.
A.3.
Apply problem solving strategies until a solution is found or it is clear that no solution existsApply technology as a tool in problem solving situations formulas, algorithms, inquiry, and other techniques to solve mathematical problems.
B.5Recognize and apply deductive and inductive reasoning.
C.2.
Review and refine the assumptions and steps used to derive conclusions in mathematical arguments.
C.3.
Justify answers and the steps taken to solve problems with and without manipulatives and physical models to explain the relationships between concepts and procedures.
D.3.
Use the connections among mathematical topics to develop multiple approaches to problems.
D.4.
Apply mathematical thinking and modeling to solve problems that arise in other disciplines, such as rhythm in music and motion in science.
D.5.
Identify, explain, and apply8.7.b.
Use order of operations to solve equations in the real number system.
1.8.8
Solving Problems and Number Theory
1.8.8.a.
Identify and apply the identity property, inverse property, and the absolute value of real numbers to solve problems8.1
Patterns
2.8.1.a.
Find the missing term in a numerical sequence or a pictorial representation of a sequence.
2.8.2
Variables and Unknowns
2.8.2.a.
Evaluate formulas and algebraic expressions using rational numbers (with and without technology).
2.8.2.b.
Solve and graphically represent equations and inequalities in one variable, including absolute value.
2.8.5.b.
Solve inequalities and represent the solution on a number line.
2.8.6
Algebraic Representations and Applications
2.8.6.a.
Describe how changes in the value of one variable affect the values of the remaining variables in a relation8.1
Comparison, Estimation, and Conversion
3.8.1.a.
Estimate and convert units of measure for mass and capacity within the same measurement system (customary and metric).
3.8.2
Precision in Measurements
3.8.2.a.
Demonstrate an understanding of precision, error, and tolerance when using appropriate measurement tools.
3.8.3
Formulas
3.8.3.a.
Identify how changes in a dimension of a figure effect changes in its perimeter, area and volume8.1
Two-Dimensional Shapes
4.8.1.a.
Find and use the sum of the measures of interior angles of polygons.
4.8.2
Congruence, Similarity, and Transformations
4.8.2.a.
Apply the properties of equality and proportionality to congruent or similar shapes.
4.8.3
Coordinate Geometry and Lines of Symmetry
4.8.3.a.
Demonstrate dilation using coordinate geometry and models.
4.8.3.b.
Describe the relationship between an original figure and its transformation or dilation.
4.8.5
Algebraic Connections
4.8.5.a.
Calculate slope, midpoint, and distance using equations and formulas (with and without technology).
4.8.5.b.
Determine the x- and y- intercepts of a line.
4.8.6
Lines, Angles, and Their Properties
4.8.6.a.
Form generalizations and validate conclusions about geometric figures and their properties.
4.8.7
Triangles
4.8.7.a.
Verify and explain the Pythagorean Theorem using a variety of methods.
4.8.7.b.
Determine the measure of the missing side of a right triangle8.1
Data Collection and Organization
5.8.1.a.
Formulate questions and design a study that guides the collection of data.
5.8.1.b.
Organize, display, and read data including box and whisker plots (with and without technology).
|
Developmental Math Help Sessions
If you have questions about or need assistance in your developmental mathematics or other mathematics course, you are invited to attend the Help Sessions as listed below. Other sessions will be scheduled if there is sufficient interest by students.
Students should bring specific questions, types of problems, and/or questions and concerns about their math. There are NO COMPUTERS for use in this classroom. At least one math instructor will be available to answer questions, help students work problems, and explain procedures for problem solving. In addition, we will talk with students concerning the operations of the department relative to their courses.
|
Beginning and Intermediate Algebra : Building a Foundation
Chapter Test Prep (Standalone) for Beginning and Intermediate Algebra : Building a Foundation
MathXL Tutorials on CD for Beginning and Intermediate Algebra : Building a Foundation
Student's Solutions Manual for Beginning and Intermediate Algebra : Building a Foundation
Videos on DVD for Beginning and Intermediate Algebra Building a Foundation
Summary
Worksheets for Classroom or Lab Practice offer extra practice exercises for every section of the text, with ample space for students to show their work. These lab- and classroom-friendly workbooks also list the learning objectives and key vocabulary terms for every text section, along with vocabulary practice problems.
|
iBoy Books
This DVD-ROM contains hundreds of step-by-step video tutorials for GCSE Higher Maths, plus exam practice questions with fully-worked answers. The friendly presenters clearly explain every Higher Level GCSE Maths topic, then you can print out the exam questions and have a go before they work through them. There s a really straightforward menu system that provides syllabus-specific coverage of every AQA, Edexcel, OCR and WJEC course (Modular and Linear), and a search option that makes it easy to find help with the bits you re stuck on. This Higher Level edition is perfect for Maths students with predicted grades of A*-C.
All our books are brand new and are shipped directly to you from one of our UK based suppliers.
Your purchase will normally arrive within three to four working days, but please allow a week
|
Click to advance the
Slides.
Distance Learning Math 140 and 141
Calculus I and II
Course Orientation
Mrs. B. Farber Calculus
Do one section at a time. Allow 3 hours per section.
Text: Single Variable Calculus 5e by Stewart
Also required is a TI-83 calculator.
• Read the required text section and work through the
examples. Keep a notebook and write out any definitions,
rules or formulas. Be sure you understand the symbols used.
• Watch the video that explains the examples from the CD
that comes with you text.
• Try a correlating problem for each example.
• Use the PowerPoint slides available on Mrs. Farber's web
page.
Where to find specifics
Refer to the Basic Course Information sheet that will be
mailed to you for more specific information on grading.
Use the assignment sheet as a guideline for problems. The best
way to learn math is to do problems. There are online
homework assignments for each assigned section. These will
be graded and be counted in your course grade. You can redo
homework problems you get wrong, so the homework grade
should be high. The homework grade counts as one quiz.
There are 9 quizzes. Take the first quiz early. It contains
material you already studied. It will also help you get
acquainted with the iLrn online quiz taking. Since you can take
this quiz as often as you like, I suggest trying it soon.
Check your email often for messages. Stay in contact with me.
Let me know how you are progressing.
Doing assignments
1. Read through the examples in the text. Use the CD
video lesson as you go through these. Attempt the
section problems from the text listed on your
assignment sheet.Check your answers, and see if
you can fix the incorrect ones. Do the online
homework.
2. Email me at farberb@bucks.edu with questions
when you are confused. Your questions will help
others in the class as well. In the subject space,
include the name of your course (i.e. MATH
140.59). Please include for
a quiz.
2. Do the homework problems in iLrn.
3. Repeat for all sections for each quiz.
4. You will have two chances for each quiz. The
first is a practice quiz. If you are not happy
with the results of the practice quiz, watch the
videos, do more problems or get help. When
you feel ready, take the online quiz. (The first
quiz can be taken as often as you like)
To start registration go to
You need to
go to the New
User area.
Click Create an
account.
Once you
have registered,
you will just go
to Returning
User Login.
Getting Online
Click Student.
Choose
Pennsylvania
and Enter
Bucks County
Community
College.
Zip is 18940
Course Key
Enter your Course Key
Calculus I
E-42NWBR9995JVZ
Calculus II
E-DET9YMSA9KZX
Fill in your Information
Fill in the
email that you
will use.
Choose a
password
you'll
remember.
Click on "I
agree" before
you can
continue.
Once you are registered
Once registered, sign in from the ThomsonNOW
Welcome page at
Under Returning Users, click Sign In. The Sign in
as a returning user page opens.
Enter your e-mail address and password exactly as
you entered them when you initially registered as a
new user.
Click Sign In. Go to your ThomsonNOW Home
page.
Allowing Popups
Why must I allow popup windows to use ThomsonNOW?
ThomsonNOW relies on "popup" browser windows to present useful information
right when you need it. However, popup windows are also used by popup Internet
ads, which means that any browser or other software you install to block Internet
popup ads will also interfere with ThomsonNOW. Accordingly, you need to disable
any software or browser settings that block popup Internet ads before you start
ThomsonNOW, or ThomsonNOW won't run correctly. This includes specific
"popup blocker" software such as Ad-aware, web browser settings (Windows XP
Service Pack 2 and Mozilla in particular), or popup blocker options in some firewall
programs (e.g., ZoneAlarm or Norton Firewall's Web Assistant).
To enable popups in Internet Explorer for Windows XP (Service Pack 2), go to
Tools > Popup Blocker and choose Turn off Popup Blocker.
To enable popups in Mozilla, go to Tools > Popup Manager and choose Allow
Popups....
To enable popups if you have installed the Google Toolbar, set the popup blocker
button to "Site Popups Allowed." (This button, in the middle of the toolbar, usually
displays the word "Blocked" and has a mouseover label that says "Click this button
to always allow popups.") You can also disable the popup blocker from Options >
Accessories.
To enable popups if you have installed the Yahoo! Toolbar, find and click on the
popup blocker button. Uncheck (disable) the option to Enable Popup Blocker.
Passwords
How do I reset my password?
From inside ThomsonNOW, you can click My Account on the Home page to
change your account password and other information. You must enter your current
password to edit their account. If you have lost your password, you can create a new
one.
After connecting to ThomsonNOW, click Sign In.
Click Forgot your ID or password?
Follow the instructions in the ThomsonNOW Password Retrieval System.
Caution: Be aware that passwords must be from 6 to 15 characters and are case-sensitive.
This means that if you include upper and lowercase letters, you must enter them the same way
each time. For example, "BigKat" must be entered as "BigKat" each time, not as "Bigkat",
"BIGkat", or any other variation. Also, avoid using spaces. Use underscores instead (for
example, First_Lastname). Finally, be careful with characters that look alike, such as the
letter l and the number 1, or 2 and Z. If you have also forgotten or lost the e-mail address you
used to register, you will need to contact Technical Support.
How do I access my NOW product Courseware?
Access your courseware from the Course Materials tab. If you do not see your
courseware, you need to register for it using its Content Access Code. Follow the
links and instructions to register your product on the Course Materials page, or
follow the Home page Quick Link Register for Course Materials.
Special Notes
Don't forget to install the plug–ins. (programs that enhance
the function of the browser software you will be using.
Your course will not function properly if the proper plug-ins
are not installed. Plug-ins are free and safe to install.)
Look under Assignments to see what to do. Homework
problems give immediate feedback and hints. they can be
attempted as many times as you like. Online scores do count
toward your grade. Quizzes may be taken two times and the
better score is counted.
For more help, click on the following link:
leDownloadServlet?objectId=10102618
Once you login you will see
Take the
equation
editor tour
to see how
to answer
questions
Click on Take
to try the first
homework.
Check List
Obtain the textbook Single Variable Calculus 5e by Stewart
Register in iLrn. Be sure your email address is correct.
Download the plug-Ins necessary to use iLrn.
Go through the Equation Editor tutorial.
Print the Assignment sheet from Mrs. Farber's Web Page.
Read Section 2.1. View the CD tutorial lesson for this section.
Take the first homework in iLrn.
Send an email to Mrs. Farber farberb@bucks.edu with any
questions about the class. Include Math140 or Math 141 in the
subject line and sign your full
|
About Class
This is a free taster class:
I will teach students the definition of limits, when limits do or do not exist, and how to evaluate limits. The definition of continuity will be explained in terms of limits. Examples will be provided throughout.
Syllabus
Prerequisites
Students should have a fair amount of knowledge in precalculus. Specifically, students should be familiar with the basic functions (linear, polynomial, trigonometric, logarithmic, exponential, absolute values), graphing functions, domain and range, and factoring polynomials.
It is preferred, but not necessary for students to have a scientific calculator.
|
Mathematics Help Reference This site covers mostly Pre-Algebra topics as well as an introduction to Algebra. Click on the various topics to review basic math rules such as positive and negative numbers, decimals, fractions, and percents.
|
Approximations and inequalities in the calculus of approximations. classification of approximate numbers
(1961)
Tools
"... The ..."
The devised earlier by the author to represent interval relations. First, the MR-diagram is defined together with appropriate graphical notions and con-structions for basic interval relations and operations. Second, diagrammatic constructions for all standard arithme-tic operations are presented. Several examples of the use of these constructions to aid reasoning about various simple, though nontrivial, properties of interval arithmetic are included in order to show how the representation facilitates both deeper understanding of the subject matter and reasoning about its properties.
"... This copy of the thesis has been supplied on condition that anyone who consults it is understood to recognise that its copyright rests with its author and that no quotation from the thesis and no information derived from it may be published without proper acknowledgement. Aston University ..."
This copy of the thesis has been supplied on condition that anyone who consults it is understood to recognise that its copyright rests with its author and that no quotation from the thesis and no information derived from it may be published without proper acknowledgement. Aston University
|
1.4. Problem-Solving Methods
To help develop your problem-solving abilities, an explicit strategy, which is a modification of the strategy developed at McMaster University (Woods et al., 1975), is used throughout this book. The seven stages of this strategy are:
0.
I want to, and I can
1.
Define the problem
2.
Explore or think about it
3.
Plan
4.
Do it
5.
Check
6.
Generalize
Step 0 is a motivation and confidence step. It is a reminder that you got this far in chemical engineering because you can solve problems. The more different problems you solve, the better a problem solver you will become. Remind yourself that you want to learn how to solve chemical engineering problems, and you can do it.
In step 1 you want to define the problem. Make sure that you clearly understand all the words. Draw the system and label its parts. List all the known variables and constraints. Describe what you are asked to do. If you cannot define the problem clearly, you will probably be unable to solve it.
In step 2 you explore and think about the problem. What are you really being asked to do? What basic principles should be applied? Can you find a simple limiting solution that gives you bounds to the actual solution? Is the problem over- or underspecified? Let your mind play with the problem and chew on it, and then go back to step 1 to make sure that you are still looking at the problem in the same way. If not, revise the problem statement and continue. Experienced problem solvers always include an explore step even if they don't explicitly state it.
In step 3 the problem solver plans how to subdivide the problem and decides what parts to attack first. The appropriate theory and principles must be selected and mathematical methods chosen. The problem solver assembles required resources such as data, paper, and calculator. While doing this, new subproblems may arise; you may find there are not enough data to solve the problem. Recycle through the problem-solving sequence to solve these subproblems.
Step 4, do it, is often the first step that inexperienced problem solvers try. In this step the mathematical manipulations are done, the numbers are plugged in, and an answer is generated. If your plan was incomplete, you may be unable to carry out this step. In that case, return to step 2 or step 3, the explore or plan steps, and recycle through the process.
In step 5, check your answer. Is it the right order of magnitude? For instance, commercial distillation columns are neither 12 centimeters nor 12 kilometers high. Does the answer seem reasonable? Have you avoided blunders such as plugging in the wrong number or incorrectly punching the calculator? Is there an alternative solution method that can serve as an independent check on the answer? If you find errors or inconsistencies, recycle to the appropriate step and solve the problem again.
The last step, generalize, is important but is usually neglected. In this step you try to learn as much as possible from the problem. What have you learned about the physical situation? Did including a particular phenomenon have an important effect, or could you have ignored it? Generalizing allows you to learn and become a better problem solver.
At first these steps will not "feel" right. You will want to get on with it and start calculating instead of carefully defining the problem and working your way through the procedure. Stick with a systematic approach. It works much better on difficult problems than a "start calculating, maybe something will work" method. The more you use this or any other strategy, the more familiar and less artificial it will become.
In this book, example problems are solved using this strategy. To avoid repeating myself, I will not list step 0, but it is always there. The other six steps will usually be explicitly listed and developed. On the simpler examples some of the steps may be very short, but they are always present.
I strongly encourage you to use this strategy and write down each step as you do homework problems. In the long run this method will improve your problem-solving ability.
A problem-solving strategy is useful, but what do you do when you get stuck? In this case heuristics or rules of thumb are useful. A heuristic is a method that is often helpful but is not guaranteed to help. A large number of problem-solving heuristics have been developed. I have listed ten (Wankat and Oreovicz, 1993) that are often helpful to students.
Problem-Solving Heuristics:
Try solving simplified, limiting cases.
Relate the problem to one you know how to solve. This heuristic encapsulates one of the major reasons for doing homework.
Generalize the problem.
Try putting in specific numbers. Heuristics 3 and 4 are the opposite of each other. Sometimes it is easier to see a solution path without all the details, and sometimes the details help.
Solve for ratios. Often problems can be solved for ratios, but there is not enough information to solve for individual values.
Do the solvable parts of the problem. This approach may provide information that allows you to solve previously unsolvable parts.
Look for information that you haven't used.
Try to guess and check. If you have a strong hunch, this may lead to an answer, but you must check your guess.
Take a break. Don't quit, but do something else for a while. Coming back to the problem may help you see a solution path.
Ask someone for a little help. Then complete the problem on your own.
Ten heuristics is probably too many to use on a regular basis. Select four or five that fit you, and make them a regular part of your problem-solving method. If you want to read more about problem solving and heuristics, I recommend How to Model It: Problem Solving for the Computer Age (Starfield et al., 1994) and Strategies for Creative Problem Solving (Fogler and LeBlanc, 1995).
|
Math Problem: There's an App for that
Math functional as a scientific, graphing, fraction and matrix calculator, and it also is very handy as a tool to help complete one's algebra homework. The application is available for tablets and phones through the Android Market.
California, US. September 2013 - (PressReleasePoint) - Gone are the days when pulling out a phone in class results in teachers confiscating the device. In fact, many teachers now ask their students to make use of their smart-phones to look up the definition of a word, find an educational clip on YouTube or even text the due date of a test or important assignment. Additionally, there are thousands of educational apps available to help students with their studies.
The Verizon Foundation recently commissioned a study of 1,000 students to determine what they were using their phones for. The study found that 39 percent of the students had used their phones to help them with homework, and 26 percent of those same students used it on a weekly basis as a study aid.
Students also frequently took advantage of various applications to help them master a subject or study it further.
Math is one subject where students often utilize an application to help them study, but whilst many math apps have been created, they weren't all created equally; however, the Graphing Calculator app by Mathlab is one app that exceeds the expectations of students, teachers and parents alike.
The Graphing Calculator app is capable of performing simple math operations, but where it really excels is with its advanced features. It is functional as a scientific, graphing, fraction and matrix calculator, and it also is very handy as a tool to help complete one's algebra homework. The application is available for tablets and phones through the Android Market or by visiting
Parents will appreciate that the application is free, although a PRO version is available for students who want to eliminate those pesky ads. More than 500,000 users have downloaded the App, primarily by appreciative students and teachers worldwide; the developers are anticipating more than 5 million downloads by 2014.
The app's developers carefully programmed the Graphing Calculator app and spent over two years improving it so that it would perform smoothly and seamlessly. It has been described as a "gift from the math gods" by one appreciative customer and has also been featured as a 'Click Pick' by an Alabama TV station and 'Tech Check: Back-to-school apps' show by Doug Evans.
Vadim Pelyushenko from Mathlab said, "Our brand new app has been developed to exceed the expectations of parents, students and teachers and can make math problems a thing of the past. It performs simple operations and complex functions with ease thanks to its scientific, graphing, fraction and matrix calculator. We're passionate about using technology to enhance classroom education and have spent more than two years developing and refining so every math student gets the help they need to learn, understand and excel. And best of all? It can be downloaded for free around the world so there are no barriers to getting ahead."
Whilst a number of educators are against using phones in the classroom, many others appreciate the benefits of modern technology. Valerie Thompson, head of the E-learning Foundation has said, "What technology allows teachers to do is give children an individual learning experience. . . The revolution is not the technology, it is the changing role of the teacher to make the most of the technology."
As mobile technology continues to grow and evolve, its practical application in the classroom will become more apparent, and just as the Internet has revolutionized the way people communicate, there's a very real chance that mobile applications will revolutionize the way students learn.
|
Prealgebra -With CD (Custom) - 3rd edition
Summary: Learn to read, write, and think mathematically with Tussy and Gustafson's PREALGEBRA and its accompanying technology tools designed to help you save time studying and improve your grade. With this prealgebra textbook, you'll develop your study skills, problem solving, and critical thinking as you master mathematical concepts. A pretest gauges your understanding of prerequisite concepts; problems that make correlations between your daily life and the mathematical conc...show moreepts; and study skills information to give you the best chance to succeed in the course. The accompanying CD-ROM and access to iLrn Tutorials, MathNOW personalized study system, and live online tutoring with a math expert who has a copy of your textbook help you every step of the way to success. ...show less3.99 +$3.99 s/h
Acceptable
Borgasorus Books, Inc. MO Wentzville, MO
Fair 0534618553 Student Edition. Missing up to 10 pages. Heavy wrinkling from liquid damage. Does not affect the text. Heavy wear, wrinkling, creasing, Curling or tears on the cover and spine May be...show more missing front or back cover. May have used stickers or residue. Poor binding causing loose and torn pages. Heavy writing, highlighting and marker. ...show less
$22.92 +$3.99 s/h
Good
Big Planet Books Burbank, CA
2006-01-01 Good Expedited shipping is available for this item!
$49.95 +$3.99 s/h
Good
TOUCH POINT's WEBSTER, TX
Some pages has minimal marking by pencil/spine tight/ CD-Rom missing
$156.90 +$3.99 s/h
New
Textbookcenter.com Columbia, MO
Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book
$156
|
Trending in Math
Math Challenges for the Critical Thinker by Mark Twain Media
Challenge students to think outside of the box! Supplement curriculum with creative math that will enhance students' abilities to problem solve, learn and apply strategies, and think critically. Answer keys are included.
You need to consider the condition for the vectors `< 1,-1, 3 >,< 1, k, k >,< k, 1, k^2 >` to be linearly independent to form a basis on `R^3` , hence, you need to evaluate the following determinant, such that:
`Delta = [(1,-1,3),(1,k,k),(k,1,k^2)]`
The problem provides the information that the vectors form a basis on `R^3` , hence, `Delta != 0` , such that:
Strategies for Teaching Mathematics
Build students' understanding of mathematical concepts. Choose from a wide range of easy-to-implement strategies and model lessons that enhance mathematics instruction. Topics include: using manipulatives developing mathematical vocabulary teaching procedures developing problem solving abilities using games assessing mathematics thinking Differentiation is included in every lesson as well as current research and background information. Includes Teacher Resource zip file with reproducibles including rubrics and assessments.
8th Grade Math Lesson
Calculating the Slope of a Line
The slope of a line or line segment is the value that describes its steepness, incline, or grade. Think of a skier or snowboarder going down a ski slope. The steeper the hill, the higher the value of the slope will be.
Key Points
You'll need to know the coordinates of two points on a line to calculate its slope.
The slope of a horizontal line is zero because a horizontal line has no rise.
The slope of a vertical line is undefined because change in x (Δx) is zero, and you can't divide by zero.
A line with a slope that goes up as it goes to the right on a graph will have a positive slope, while one that goes down to the...
Quiz: Quadratic Equation
Order of Operations in Mathematics
The order of operations is the set of rules that tells you which parts of an equation to work on in what order so you will get the correct result when solving it. The order you do things in is critical in order to get the right results—work in the wrong order and you will likely get an incorrect answer.
Mastering the order of operations is one of the most important and often used skills you will acquire in solving mathematical equations consistently and successfully. With practice, it will become second nature, so don't worry if it seems a little confusing at first.
Mental Calculation Drills
What Are Exponents (Math)?
Need help in understanding general math concepts? Download this free eNotes guide to learn about exponents.
An exponent is a shorthand way of expressing a number multiplied by itself a given number of times. An exponent is made up of two numbers: the base, which is the number multiplied by itself; and the exponent, the smaller superscript number that tells you how many times the base is multiplied by itself. The exponent is written as a smaller superscript number next to the normal-sized base number or variable.
Essential Steps
When multiplying two exponents with the same base, the result is the base to the power of the sum of the exponents.
Writing Proportions in Math
A proportion is a comparison between two ratios that are equal to each other. You will normally use proportions to solve for a single unknown between the two ratios. Remember, a ratio compares two values in a single fraction, whereas a proportion compares two ratios.
Use cross-multiplication to solve proportion problems. Writing out the ratio in words when setting up the equation will help you get the correct answer. Always be careful not to mix up your numerators and denominators. Be sure to understand the difference between ratios and proportions and when to use each of them. Most proportion exercises you'll encounter will come in the form of story problems, so be sure to double-check how you set up...
What Is the Distance Formula (Math)?
Need help in understanding general math concepts? Download this free eNotes guide to learn about the distance formula.
The distance formula is an equation used to find the distance between any two points on a graph. The distance formula is derived directly from the Pythagorean theoremwhich tells you the length of the hypotenuse c if you know the length of each of the other two sides of a triangle.
Key Points
You'll need to know the full coordinates of two points on a graph to solve for the distance.
Distance is always expressed as a positive number, even if some or all the coordinates of your points are found in the negative...
Fraction (Negative Exponent Rule)
This document provides a rule for working with a negative exponent. When a number is a fraction, for example (3/5), the negative exponent rule will be applied. This document contains an example of working with the rule.
|
books.google.com topology and its relations to modern analysis and algebra VI
|
An Introduction with Applications
0470108770
9780470108772
MATLAB:Designed for the newest version of the popular MATLAB software program, MATLAB: An Introduction with Applications, 3/e requires no previous knowledge of computer programming. The first chapter describes basic features of the program and shows how to use it in simple arithmetic operations with scalars. The next two chapters focus on the topic of arrays (the basis of MATLAB), while the remaining text covers a wide range of other applications. Computer screens, tutorials, samples, and homework questions in math, science, and engineering, provide the student with the practical hands-on experience needed for total proficiency.
Back to top
Rent MATLAB 3rd edition today, or search our site for Amos textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Wiley.
|
GraphSight is a feature-rich comprehensive 2D math graphing utility with easy navigation, perfectly suited for use by high-school an college math students. The program is capable of plotting Cartesian, polar, table defined, as well as specialty graphs. Importantly, it features a simple data and formula input format, making it very practical for solving in-class and homework problems. The program comes with customizable Axis options, too
|
Linear Algebra - Sterling K. Berberian - Hardcover
9780198534365
ISBN:
0198534361
Edition: 1 Publisher: Oxford University Press, Incorporated
Summary: Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings, and differential equations, and comprises a central part of any course in mathematics. This textbook provides a rigorous introduction to the main concepts of linear algebra which will be suitable for all students coming to the subject for the first t...ime. The book is in two parts: Part One develops the basic theory of vector spaces and linear maps, including dimension, determinants, and eigenvalues and eigenvectors. Part Two goes on to develop more advanced topics and in particular the study of canonical forms for matrices. Professor Berberian is at pains to explain all the ideas underlying the proofs of results as well as to give numerous examples and applications. There is an abundant supply of exercises to reinforce the reader's grasp of the material and to elaborate on ideas from the text. As a result, this book presents a well-rounded and mathematically sound first course in linear algebra.
Berberian, Sterling K. is the author of Linear Algebra - Sterling K. Berberian - Hardcover, published under ISBN 9780198534365 and 0198534361. Twenty one Linear Algebra - Sterling K. Berberian - Hardcover textbooks are available for sale on ValoreBooks.com, thirteen used from the cheapest price of $9.74, or buy new starting at $95.28 376 p.[less]
114 Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may no [more]
114Comes with free delivery confirmation (tracking), and ships out of Northern California (We want this item in your hands ASAP: ). Your satisfaction is naturally guaranteed. We are at your service. Thanks for reading![less]
|
Kombinasi Dan TrikThe Math Forum @ Drexel University. The Math Forum is the comprehensive resource for math education on the Internet. Some features include a K-12 math expert help service, an extensive database of math ....
The Math Forum @ Drexel University. The Math Forum is the comprehensive resource for math education on the Internet. Some features include a K-12 math expert help service, an extensive database of math ....
Derby Names Roster - Roller Derby AU | Australia's Roller .... To make changes to the derby names roster please see the instructions here. To make changes to the derby names roster please see the instructions here
|
Beginning and Intermediate Algebra - 4th edition
Summary: Get Better Results with high quality content, exercise sets, and step-by-step pedagogy! The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra 4e. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the ve...show morery points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor100% BRAND NEW ORIGINAL US STUDENT Edition / Mint condition / Never been read / Shipped out in one business day with free tracking.
$306.59
|
Your school or district has selected Saxon Math because of its ... teacher-to-
teacher and grade-to-grade, a key .... C. Does the teacher use the appropriate
recording forms to record childrens' scores?
the Saxon Math program in grades K-5.2 The schools participating in this .... At
the end of the year, the MAT 7 (Form S Intermediate Level 2) ..... scores on both
tests were recorded. • Average scores on ...
placement test. Saxon's Upper Grades Placement Test ... other information,
including the student's record of achievement ... If a student answers fewer than ...
The purpose of this section is to determine readiness for Saxon's Algebra 1
textbook.
Simply fill out the Application Form, listing the courses. ... record keeping is so
valuable that we would be doing our families a disservice not to make those
services part of .... •Grade 8: Saxon Algebra ½.
The unique structure of Saxon Math promotes student success through the
proven ... Each lesson in grades 1, 2, and 3 contains five components: The
Meeting, The ... It also contains recording forms for the student to show his or her
work and.
Recommendation of instructional interventions with a proven track record is not
intended as a ... The forms for requesting approval of an instructional intervention
are available on the ..... instruction appropriate for grades four through Algebra II.
unit and will include artists form a variety if periods and cultures. HS students ...
Prerequisites: "C" or better grade in Algebra ½ or other pre-Algebra Math. Saxon
... Textbook: Saxon Algebra 1. Algebra 2: ...
both Mary Pride and Cathy Duffy, Saxon Math .... Kit Contents: Our grade level
manipulative kits contain all the materials specified for that grade in the ..... as
well as various forms for recording student.
Stephen Hake has authored five books in the Saxon Math series. ... 17 years of
classroom experience as a teacher in grades 5 through 12 and as a ...... form an
addition fact also form a subtraction fact.
Saxon is a trademark of Harcourt Achieve Inc. 1 2 3 4 ... Stephen Hake has
authored five books in the Saxon Math series. ... publication on the Nature and
Teaching of Algebra in the Middle Grades. ...... Now disassemble the cone to form
a net.
Notification Form" (PEACH usually prints this on blue paper; white is fine.) ***You
are NOT ... district should be recorded in writing. ... Although some school districts
ask for it, grade level is NOT required in the homeschool ..... Algebra l (Saxon).
12 Aug 2012 ... form on the contents page in this catalogue. ..... You will record that grade on the
lesson plan but may still be asked to send it ..... The video supplement to the
Saxon Math. Homeschool ...
have an average of 4.3% more questions correct than Saxon Math schools. ... in
third and fifth grades, non-Asian minorities in fifth grade, girls in third ......
Arithmetic computation proficiency forms the.
Saxon Math Order Form .... Robinson's insights on how to maximize the benefit of
Saxon Math by using it in a self- ... Art Robinson Interviews John Saxon 16K MP3
Length: 1 Hour 28 min. ..... The curriculum is not divided by "grade" levels.
|
Category: Lesson idea
So the other day I am giving my Algebra 2 STEM learners (this is our Honors designation" the big picture of Algebra 2. You know, so they know where they are at and where the class is going. This is what I had written on the right of the screen. After writing this down, […]
I tried something new this year. I was a little nervous trying it, but I did NOT want to do the whole "here is the syllabus, let me read it to you" shtick. So, I made the first day very active and involved. Did it work? What did I find went well, what didn't? InI have been mulling this question over for a while now, since last summer at least. It is a offshoot of the time I spent working with Exeter materials at an Exeter summer institute, and if anything the question has grown in my mind to the point where I must answer it for myself and […]
It is spring break, so what am I doing? I am attending AP workshops and volunteering at my local university. All in all, a great spring break. So, Let me start with the question first. Why do we make it so hard to learn functions? I mean really. We treat each topic; linears, quadratics, cubics,In this post I want to show Exeter's problem solving strategy. This is important, because it is SO different from how a problem like this is typically approached. First off, the problem I am going to model is M1:21:11 [Math 1, page 21, problem 11] 11. Alex was hired to unpack and clean 576 very […]
Before I begin going through this problem I have selected, I want to link you to where the PDF's of the documents can be found. Notice these are NOT the problem sets, these are activities that ARE used in class, but also are pulled together for teacher use at the Phillips Exeter Academy Summer Math […]
For today's #myfavfriday I am presenting an idea that has been percolating in my head for a while. If you want to know what a #myfavfriday is, then see Druinok's blog here. Learners have a devil of a time with quadratics. Afterall, there can be 2 solutions, 1 solution, or no solutions in Algebra 1,
|
Calculus Early TranscendentalsChapter 5 Integration 5.1 An Overview of the Area Problem 5.2 The Indefinite Integral 5.3 Integration by Substitution 5.4 The Definition of Area as a Limit; Sigma Notation 5.5 The Definite Integral 5.6 The Fundamental Theorem of Calculus 5.7 Rectilinear Motion Revisited Using Integration 5.8 Average Value of a Function and its Applications 5.9 Evaluating Definite Integrals by Substitution 5.10 Logarithmic and Other Functions Defined by Integrals
Chapter 6 Applications of the Definite Integral in Geometry, Science, and Engineering 6.1 Area Between Two Curves 6.2 Volumes by Slicing; Disks and Washers 6.3 Volumes by Cylindrical Shells 6.4 Length of a Plane Curve 6.5 Area of a Surface of Revolution 6.6 Work 6.7 Moments, Centers of Gravity, and Centroids 6.8 Fluid Pressure and Force 6.9 Hyperbolic Functions and Hanging Cables01820281.02
|
To use this worksheet generator, start by selecting a book from the first list, then a lesson from the "Starting Lesson" dropdown list. If you want worksheets on a range of topics, you may also choose a lesson from the "Ending Lesson" list. For now, choices are limited to lessons that deal primarily with computation, and the lessons end at PreAlgebra Lesson 8.
If you choose only one lesson, there is a greater likelihood that you will see some repeated problems on the page. This is because the problems are generated automatically. A wider range of problems will be less likely to generate repeats.
After making a selection, click the "Make Worksheet" button, and a printable worksheet will be generated. If you have a popup blocker, you may need to disable it for this to work. For an answer key, click the "Make Answer Key" button after printing the worksheet. Or, you can just click the "Make Both" button to have the worksheet and answer key made in one step.
There is now the option to choose how many rows and columns there are on a page. Just choose the desired quantity from the respective lists.
Regarding word problems: Since these problems are generated randomly, there's no easy way to add word problems and be sure that they make sense. If you need more word problems, you may be able to find some through an online search.
Create A Custom Worksheet
Select a Book:
Select lessons:
Start
End
Create the worksheets:
Optional Settings:
Number of Rows
Number of Columns
FREE NEWSLETTER!
INFORMATION
Meet Your Rep
All orders are processed and filled by your local Math-U-See rep:
Primer and Alpha have been added to our new editions and updated with the improved formatting and binding and expanded solutions. Alpha also has student activity pages in the test booklet.
January 2010
We have launched our new website. Watch the video on the front page to take a tour of the new website.
TESTIMONIALS
Thank you for sharing your work with us. My daughter has gone from tears to triumph with the Math·U·See curriculum. She just finished Delta with a 98% test average. After 20 years of homeschooling 5 children before her, I was at a loss when she started seeing "math" as a four letter word. Well, that is cured thanks to the Gamma and Delta books. While she is now 12, turning 13 soon, she is energized to push forward. This school year she whizzed through those two books and when we resume our school year in January she has pledged to do Epsilon and Zeta in one year. Her turn-around is spectacular. Thanks.
|
Book Description: The classification of the finite simple groups is one of the major intellectual achievements of this century, but it remains almost completely unknown outside of the mathematics community. This introduction to group theory is also an attempt to make this important work better known. Emphasizing classification themes throughout, the book gives a clear and comprehensive introduction to groups and covers all topics likely to be encountered in an undergraduate course. Introductory chapters explain the concepts of group, subgroup and normal subgroup, and quotient group. The homomorphism and isomorphism theorems are explained, along with an introduction to G-sets. Subsequent chapters deal with finite abelian groups, the Jordan-Holder theorem, soluble groups, p-groups, and group extensions. The numerous worked examples and exercises in this excellent and self-contained introduction will also encourage undergraduates (and first year graduates) to further study
|
Rent Textbook
Buy New Textbook
eTextbook
Instant Online Access
180 day digital rental
$88.13
Used Textbook
We're Sorry Sold Out
More New and Used from Private Sellers
Starting at $96Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief.Introductory Algebra, Fourth Editionwas written to provide students with a solid foundation in algebra and to help stuents make the transition to intermediate algebra. The new edition offers new resources like theStudent Organizerand now includesStudent Resourcesin the back of the book to help students on their quest for success.
Author Biography
Her textbooks and acclaimed video program support Elayn's passion of helping every student to succeed.
Table of Contents
Chapter R
Prealgebra Review
R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Chapters R Group Activity: Interpreting Survey Results
Chapter R Vocabulary Check
Chapter R Highlights
Chapter R Review
Chapter R Test
Chapter 1 Real Numbers and Introduction to Algebra
1.1 Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Exponents, Order of Operations, and Variable Expressions
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Chapter 2 Equations, Inequalities, and Problem Solving
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further Solving Linear Equations
2.4 An Introduction to Problem Solving
2.5 Formulas and Problem Solving
2.6 Percent and Mixture Problem Solving
2.7 Linear Inequalities and Problem Solving
Chapter 3 Exponents and Polynomials
3.1 Exponents
3.2 Negative Exponents and Scientific Notation
3.3 Introduction to Polynomials
3.4 Adding and Subtracting Polynomials
3.5 Multiplying Polynomials
3.6 Special Products
3.7 Dividing Polynomials
Chapter 4 Factoring Polynomials
4.1 The Greatest Common Factor
4.2 Factoring Trinomials of the Form x^2 + bx + c
4.3 Factoring Trinomials of the Form ax^2 + bx + c
4.4 Factoring Trinomials of the Form ax^2 + bx + c by Grouping
4.5 Factoring Perfect Square Trinomials and the Difference of Two Square
4.6 Solving Quadratic Equations by Factoring
4.7 Quadratic Equations and Problem Solving
Chapter 5 Rational Expressions
5.1 Simplifying Rational Expressions
5.2 Multiplying and Dividing Rational Expressions
5.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
5.4 Adding and Subtracting Rational Expressions with Different Denominators
|
Beginning Algebra: Non-Media Edition - 8th edition
Summary: Get the grade you want in algebra with Gustafson and Frisk's BEGINNING ALGEBRA! Written with you in mind, the authors provide clear, no-nonsense explanations that will help you learn difficult concepts with ease. Prepare for exams with numerous resources located online and throughout the text such as online tutoring, Chapter Summaries, Self-Checks, Getting Ready exercises, and Vocabulary and Concept problems. Use this text, and you'll learn solid mathematical skills that will help yo...show moreu both in future mathematical courses and in real life! ...show less
5. FACTORING POLYNOMIALS. Factoring Out the Greatest Common Factor; Factoring by Grouping. Factoring the Difference of Two Squares. Factoring Trinomials with Lead Coefficients of 1. Factoring General Trinomials. Factoring the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Problem Solving. Projects. Chapter Summary. Chapter 5 Test
|
Synopsis
Achieve the best possible standard with this essential companion to the bestselling book of traditional practice and guidance. This supporting book contains all the answers to the exercises in the bestselling First Aid in Mathematics. This series provides all the help and support for learning and practising Mathematics, with comprehensive coverage of core mathematical topics in clear and accessible language. First Aid in Mathematics: - Develops a strong basis of understanding with core topics covered in clear and accessible language - Improves student's ability to work through problems with plenty of practice exercises and revision tests - Reflects its international readership with terms and information that are appropriate for students worldwide
|
Refresher course in basic mathematics with goal of providing a good foundation for further study/use of mathematics. Topics include operations on integers, fractions and decimals; exponents and order of operation; ratios, proportions and percents; basic algebraic and geometric formulas. Credit, although tabulated within the 130 hours required for graduation, does not satisfy any part of the core curriculum requirements. By placement only. Offered every semester.
|
Summary: Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on how to solve challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next, through numerous problem solving techniques. A large col...show morelection of problems, varying in level of difficulty, are integrated throughout the text, and suggested hints for the more challenging problems appear in the instructor's solutions manual for use at instructor's discretion. ...show less
4-1 Ratio, Proportion and Similar Polygons 4-2 Further Applications of the Side Splitting Theorem and Similarity 4-3 Areas of Similar Figures 4-4 The Golden Ratio and the Construction of a Regular Pentagon 4-5 Circumference and Area of a Circle 4-6 Other Recursive Formulas for Evaluating p 4-7 Trigonometric Functions
Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book
$166.03 +$3.99 s/h
New
PaperbackshopUS Secaucus, NJ
New Book. Shipped from US within 4 to 14 business days. Established seller since 2000
$176.15 +$3.99 s/h
New
PROFESSIONAL & ACADEMIC BOOKSTORE Dundee, MI
0763743666
|
1285400879
9781285400877
Elementary and Intermediate Algebra:Get the book that makes algebra accessible and engaging¿McKeague's ELEMENTARY AND INTERMEDIATE ALGEBRA, Fourth Edition. The author's passion for teaching mathematics is apparent on every page. 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, and real-world applications in every chapter highlight the relevance of what you are learning.
Back to top
Rent Elementary and Intermediate Algebra 4th edition today, or search our site for Charles P. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by CENGAGE Learning.
|
Summary: KEY MESSAGE:Gary Rockswold and Terry Kriegerfocus on teaching algebra in context, giving students realistic and convincing answers to the perennial question, ''When will I ever use this?'' The authors' consistent use of real data, graphs, and tables throughout the examples and exercise sets gives meaning to the numbers and equations as students encounter them. This new edition further enhances Rockswold and Krieger's focus on math in the real world with a new features and updated ap...show moreplications to engage today's students. KEY TOPICS: Introduction to Algebra, Linear Equations and inequalities, Graphing Equations, Systems of Linear Equations in Two Variables, Polynomials and Exponents, Factoring Polynomials and Solving Equations, Introduction to Rational Expressions, Linear Functions and Models, Matrices and Systems of Linear Equations, Radical Expressions and Functions, Quadratic Functions and Equations, Exponential and Logarithmic Functions, Conic Sections, Sequences and Series MARKET: For all readers interested in algebra
|
Rules In Finding Special Products In Math
Prentice Hall Bridge page Get answers to your math questions with interactive math calculators. Elementary topics through calculus, number theory, logic, and advanced mathematics.
Sadlier-Oxford | Educational Publishing from Prek–12+ (a) Required Disclosures. (1) Initial Disclosure. (A) In General. Except as exempted by Rule 26(a)(1)(B) or as otherwise stipulated or ordered by the court, a party.
Practical Algebra Lessons - Purplemath Visit Harcourt's marketplace, parent store, learn about products, and interact with online activities and resources.
Calculate square root without a calculator - Homeschool Math Wrightslaw is leading website about special education law and advocacy, with thousands of articles, cases, and free resources about hundreds of special education. Math Goodies - Lessons Provides a complete web based educational environment for K-12 and Higher-Education mathematics, accounting, statistics, and chemistry.
Exponents: Basic Rules - Purplemath This will be for the Gardena High Math department.
Mayer-Johnson. Special Needs Products. Special Education. HomeschoolMath.net is a comprehensive math resource site for homeschooling parents, parents, and teachers that includes free math worksheets, lessons, online math. Math Powerpoints - A Teachers' Page Practical algebra lessons that emphasize the practicalities of understanding the questions and intelligently and simply arriving at the answers. Special relativity - Wikipedia, the free encyclopedia In physics, special relativity (SR, also known as the special theory of relativity or STR) is the accepted physical theory regarding the relationship between space. Math Homework Help - Answers to Math Problems - Hotmath FEDERAL TRADE COMMISSION 16 CFR Part 455 Trade Regulation Rule; Sale of Used Motor Vehicles 53 FR 17660 May 17, 1988. ACTION: Final Staff compliance guidelines.
Harcourt School Publishers So even though your math book may totally dismiss the topic of finding square roots without a calculator, you can consider to let them practice at least the first.
ClassZone Math lessons by Math Goodies are lessons that provide step-by-step instruction for learners of all ages and abilities. Learn math at your own pace.
Pearson Course Content - Prentice Hall Bridge page Pearson Course Content. Pearson Prentice Hall—along with Pearson Scott Foresman, Pearson AGS Globe, Pearson Learning Group, and Pearson Digital Learning—are the.
|
Thursday, July 17
5:45 PM-6:45 PM Tresidder Union, Cypress Room
Panel on Mathematics Education in the 21st Century
Technological innovations fueled by the computer revolution have changed the face of higher education for mathematicians, computer scientists, and engineers. Software systems such as Mathematica and Maple are minimizing the need for classroom calculation and manipulation of numbers and symbols. Problems that could not even be covered in previous generations are routinely being solved in class.
Curricula which had been standardized are now in a state of flux. Many questions remain to be answered. What new material will be included and what is to be excluded? Will proof techniques no longer be emphasized, especially for engineers? As entire courses are loaded onto PCs with interactive voice software, will professors only be mentors?
The session will begin with an overview of the issues presented by the organizer. This will be followed by a discussion among panel members, and concluding with interactive questions-and-answers participation between the panel and the audience.
|
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).
|
Trigonometric Functions
2000 Our web site, accessible in both Polish and English, introduces the user to four basic trigonometric functions: sine, cosine, tangent, and cotangent. Each function is defined in the context of a right triangle and a coordinate system, with diagrams for each. Graphs of each function are also shown, and reduction formulas are given. Information pertaining to the functions as a whole include: mathematical relationships between the functions, an overview of reduction formulas, and basic trigonometric formulas. Finally two sample problems are provided to test what the user has learned.
|
Horizons Math Pre-Algebra Set
Prepare your middle school student to excel at
upper-level math with the new Horizons Pre-Algebra course! Along
with exciting real life applications, this year long math course
takes students from basic operations in whole numbers, decimals,
fractions, percents, roots, and exponents and introduces them to
math-building concepts in algebra, trigonometry and geometry.
Divided in to 160 lessons, this course comes complete with one
consumable student book, a student test and resources book and an
easy-to-use teacher's guide. Every block of ten lessons begins with
a challenging set of problems that prepares students for
standardized math testing and features personal interviews showing
how individuals make use of math in everyday life.
………………………………..
Horizons Pre-Algebra is the colorful continuation of the
award-winning K-6 math series. Recommended for students in grade 7
or 8, this course prepares students for upper-level math courses
with a review of vital basic math concepts and a robust
introduction to algebra, trigonometry, and geometry.
What's Inside Comprised of three titles, the packaged set
includes a student workbook, a teacher's guide, and a tests and
resources book.
New Content Horizons Pre-Algebra includes several areas
of new content, including -
Absolute Value
Volume and Surface Area of Solids
Transformations and Nets
Compound Interest
Representations of Data
Permutations, Combinations, and Odds and Events
Two Variable Equations
Four Operations with Monomials and Polynomials
Trigonometric Ratios
Horizons Pre-Algebra Student Book
Similar in format to other Horizons K-6 courses, the consumable,
full-color Horizons Pre-Algebra Student Book includes 160 daily
lessons. Each lesson begins with a teaching box that details the
new concept. A class work section has been added to this area of
the lesson for guided practice of the new concept. Typical of other
Horizons math courses, the activities section of each lesson
includes a set of practice problems for the new concept and review
problems for previously covered concepts.
Another new feature of the Student Book is a set of college test
prep questions that follows each block of 10 lessons. These
problems are designed to help students prepare for standardized
math testing. This book also includes a new collection of
interviews with everyday people who use math in their daily
vocations. Setting the stage for each group of lessons, these
interviews bring the lessons to life by adding a human interest
touch to word problems. (Perfect-bound, full-color, 8.5 x 11, 360
pages)
Tests and Resources Book includes tests from the student books
and worksheets from the teacher's guides of previous Horizons math
courses. This book also provides tear-out tests, exams, and
worksheets, as well as full-color net diagrams, algebra squares
manipulatives on cardstock, and formula strips for tests and exams.
(Perfect-bound, consumable, 8.5 x 11, 240 pages)
|
Editorial Reviews
Review
"This modern book can be warmly recommended to mathematicians as well as to users of applied texts in complex analysis; in particular it will be useful to students preparing for an examination in the subject." —Mathematical Reviews
"Creating a 'handbook' such as this is an interesting concept, and to this reviewer's knowledge this is the only one of its type in complex analysis. . . . This book may well be timely and useful to the readers it is intended for: working scientists, students, and engineers . . . The topics contained are quite broad . . . It is noteworthy that a glossary is included that provides the reader with a useful guide to terminology and basic concepts. Other valuable features are: (1) a discussion of the available computer packages that can do some complex analysis such as Maple and Mathematica, (2) a pictorial catalog of conformal well-known maps, and (3) tables of Laplace transforms." —SIAM Review
"Krantz...has two audiences in mind for this handbook: first, the working scientist, with no background in complex analysis, who seeks a specific result to solve a specific problem; and second, the mathematician or scientist who once studied complex analysis and now seeks a compendium of results as an aid to memory. Though Krantz warns that this handbook contains no theory...and thus cannot serve as a textbook, the undergraduate student of complex analysis will nevertheless find certain sections replete with instructive examples (e.g., applications of contour integrations to definite integrals and sums; conformal mapping). Also, the glossary of terminology and notation should offer a useful aid to study.... Students should also see the chapter devoted to surveying computer packages for the study of complex variables. In an undergraduate library, this book can be counted as a supplement to an otherwise strong collection in functions of a single complex variable." —Choice
"This handbook of complex variables is a comprehensive references work for scientists, students and engineers who need to know and use the basic concepts in complex analysis of one variable. It is not a book of mathematical theory but a book of mathematical practice. All basic ideas of complex analysis and many typical applications are treated. It is also written in a very vivid style and it contains many helpful figures and graphs." ---Zentralblatt MATH
Why spend money on books like this when nearly everything can be found in Whittaker and Watson's masterpiece "A Course of Modern Analysis?" Instead of pussyfooting around your phobia of classical analysis and special functions, crush and conquer it by actually working through W & W now.
|
Chapter topics include equations, inequalities, and mathematical models; functions and graphs; polynomial and rational functions; exponential and logarithmic functions; trigonometric functions; analytic trigonometry; systems of equations and inequalities; conic sections and analytic geometry; and sequences, induction, and probability. For individuals studying Precalculus.
|
Designed for the core course on the subject, this book seeks to provide students with at sound introductin to Numerical Methods. Logical arrangement of topics, clarity of presentation and illustration through examples aid the student in becoming adept at applying the methods.
A number of unique features make this book differnet from other existing books in the field.
Key features
Mathematical derivatin of each method is given to build the reader's understanding of numerical analysis.
Algorithms are given using pseudocodes, whenever possible.
The concept, cause and consequence of errors in the applilcation of numerical computing is highlighted.
|
Excel Models Blog - Jess
Blog about the use of Excel to analyze real-world problems mathematically. Posts, which date back to October, 2011, have included "Simple Excel Sales Dashboard," "Tutorial Using Concatenate Function In Excel," "Teacher Grade Book," "Buying House To Rent,"
...more>>
Exploring Data - Rex Boggs, Education Queensland
A website with activities, worksheets, overhead transparency masters, datasets, and assessment to support data exploration. It also contains an extensive collection of articles designed to enhance the statistics knowledge of the teacher. A resources page
...more>>
Exploring Precalculus - William Mueller
A lively and intuitive introduction to precalculus. Materials center on three themes: functions, rates of change, and accumulation. Showing the subject from many angles, illustrations include algebraic, graph-based, and real-world examples, and featureGeneral Algebraic Modeling System - GAMS
A high-level modeling system for mathematical programming problems. It consists of a language compiler and a stable of integrated high-performance solvers. GAMS is tailored for complex, large scale modeling applications, and allows you to build large
...more>>
GiNaC is not a CAS - Bauer, Frink, Kreckel
GiNaC is an iterated and recursive abbreviation for "GiNaC is Not a CAS" (Computer Algebra System). It is designed to allow the creation of integrated systems that embed symbolic manipulations together with more established areas of computer science (like
...more>>
GraphCalc - Mike Arrison
A graphing calculator program for Windows. Features include three-dimensional graphing, calculus, and statistics. Download a shareware version, read online documentation, request a feature, or read about the authors.
...more>>
Graphing Calculator for Mac and Windows - Pacific Tech
Graphing Calculator calculates and displays two- and three-dimensional mathematical objects easily, and saves animations as QuickTime movies. The site includes a list of features, a guided tour, a picture gallery, a free demo, and ordering capabilities,
...more>>
GraphPanel - David Binger; Centre College
A Java application that supports the interactive editing of simple graphs with labels. The program can produce PostScript images of the graphs, and these PostScript files can be included directly in TeX documents or converted (using other programs) to
...more>>
Great Math Programs - Xah Lee
A listing about 40 excellent recreational math programs for Macintosh that do: polyhedra and Rubic cubes, curves and surfaces, fractals and L-systems, tilings and symmetry, game of hex and game of life, chess and five-in-a-row, peg solitare and polyominos,
...more>>
HiDigit - Binary Things
Calculating software with extended capabilities, recommended for use by math, physics, and engineering students and teachers. The main advantage of the software is a simple input format even for the most complicated formulas.
...more>>
iDeSolver - KeatsSoft Co.
iDeSolver is an integrated environment that simplifies the process of
solving ordinary and partial differential equations (ODE, PDE), linear and
nonlinear algebraic equations, with computational data and plot output
through MATLAB. The site offers
...more>>
ILNumerics - Jonas Nordholt
This numerical library for .NET supports the creation of algorithms and visualizations for scientific computing and technical applications. Available in free, open source Community Edition as well as Professional Edition, which offers prebuilt binariesc
...more>>
InquiCalc - Donovan Harshbarger
Use InquiCalc's 90 built-in functions to graph up to eight different plots on a single plane, customizing colors and other display parameters along the way. Save output in .BMP, .GIF, .JPG, or .PNG formats; or copy graphs from this graphing calculator
...more>>
Integral Calculator - David Scherfgen
The Integral Calculator calculates definite and indefinite integrals (antiderivatives) of functions. This free online calculus tool, powered by the computer algebra system (CAS) Maxima, also dynamically typesets the user's input as a LaTeX formula using
...more>>
|
Basic Mathematics plus MyMathLab/MyStat Basic Mathematics, by Goetz, Smith, and Tobey, is your on-ramp to success in mathematics! The authors provide generous levels of support and interactivity throughout their text, helping you experience many small successes, one concept at a time. You will take an active role while using this text through making decisions, solving exercises, or answering questions as you read. This interactive structure allows you to get up to speed at your own pace, while also deve... MOREloping the skills necessary to succeed in future mathematics courses. To deepen the interactive nature of the book, Twitter reg; is used throughout the text, with the authors also providing a tweet for every exercise set of every section, giving you timely hints and suggestions to help with specific exercises. MyMathLab provides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online.
|
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 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 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…
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…
|
Pre-Algebra
Pre Algebra is the first math course in high school
and will guide you through among other things integers, one-step
equations, inequalities and equations, graphs and functions,
percent, probabilities. We also present an introduction to geometry and right
triangles.
In Pre Algebra you will for example study*:
-Review of natural number arithmetic
-New types of numbers such as integers, fractions, decimals and
negative numbers
-Factorization of natural numbers
-Properties of operations (associativity, distributivity and so
on)
-Simple (integer) roots and powers
-Rules of evaluation of expressions, such as operator precedence
and use of parentheses
-Basics of equations, including rules for invariant manipulation
of equations
This Pre Algebra math course is divided into 10
chapters and each chapter is divided into several lessons. Each
lesson includes theory, examples and a video. In the right
side menu you will find Pre Algebra tutorial videos and lessons in
chronological order.
|
Discrete Mathematics With Application - 11 edition
Summary: Susanna Epp's DISCRETE MATHEMATICS: AN INTRODUCTION TO MATHEMATICAL REASONING provides a clear introduction to discrete mathematics and mathematical reasoning in a compact form that focuses on core topics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision, helping students develop the ability to think abstractly as they study each topic. In doing so, the book provides students with a strong foundation both for computer scienc...show moree and for other upper-level mathematics courses. ...show less
Brand New Title. We're a Power Distributor; Your satisfaction is our guarantee!
$212.06 +$3.99 s/h
New
PROFESSIONAL & ACADEMIC BOOKSTORE Dundee, MI
0495826170
|
Foundations of Science Mathematics
D. S. Sivia and S. G. Rawlings
This book spans a large range of topics, from basic arithmetic and algebra to calculus and Fourier transforms, and bridges the gap between high school and college. It emphasizes the origins and context for each result and is an ideal self-study guide for anyone beginning an undergraduate program in science.
|
Algebraic Expression Teacher Resources
Find Algebraic Expression educational ideas and activities
Title
Resource Type
Views
Grade
Rating
Here is an unexpected resource: chapter 1 of an Algebra textbook. You can use all or some of its contents to teach your Middle Schoolers all about algebraic expression, domain, function notation, linear equations, order of operations, input/output, ordered pairs, and variable expressions. This would be great for a substitute or newer teacher looking for reliable tools.
This all-encompassing lesson plan immerses your math class in the world of algebraic expressions. Written details are provided to guide you in guiding them to identify the parts of an expression and simplify them. Sample problems are provided for learners to practice with, including real-world applications. An answer key follows the worksheet.
In this comprehensive instructional activity, mathematicians solve and complete various types of problems on factoring and using the quadratic formula. This instructional activity also includes the use of factoring to simplify rational expressions. Overall, it provides a good review or study guide.
The title of this lesson should be "Algebraic Expressions Four Ways." Not only will your class be translating verbal descriptions of algebraic expressions to symbols, but also working with their geometric interpretation via area as well as their numerical representation in table form. Work with all four representations or fewer if you choose. This complete lesson comes with all necessary handouts as well as a detailed commentary for the teacher.
Learners understand that algebra is a branch of mathematics that uses symbols or letters to represent unknown numbers in problems. They also understand the definition for an algebraic expression. Make sure to click on the Download the Activity bear so that you can access a top-notch task document that walks learners through the evaluation of algebraic expressions. It can be used as part of your lesson or sent home as reinforcement.
An algebraic expression is a combination of number(s), variable(s), and one or more operations. Use these real-world scenarios to introduce writing verbal phrases as algebraic expressions. Small groups of learners are opening up a business and must figure out how to manage their money in one of three scenarios: 1) Creative Cupcakes 'N More 2) Books, Movies, and Games Galore 3) Sporting Goods Fanatics. They need to come up with a plan and be able to support their plan.
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number of equations. In addition, they write a mathematical expression to describe each situation presented. A link to a math game, colorful graphics, and word problems make this a well-rounded resource.
Need exponentt practice? Then this exponent learning exercise will be helpful to have learners evaluate exponent expressions and algebraic expressions. They use the distributive property to solve equations. This three-page learning exercise contains approximately 40 problems. Note: Answers are not included.
Young scholars translate between verbal and algebraic expressions. After folding paper into four sections (multiplication, division, addition, and subtraction), students list code words under the appropriate section title. Next, they participate in a "I Have, Who Has" activity where the young scholars practice matching an algebraic expression to a verbal expression.
Begin your next algebra unit with this introductory lesson on variables and algebraic expressions. This plan requires a SMART board and includes a SMART notebook file. The file contains a guiding question and two learning activities that will teach learners to write simple algebraic expressions using a single variable.
Middle schoolers will identify the parts of an algebraic expression by telling the number of terms in one expression. Then they will collect like terms and solve three problems. Next, they will complete a table involving three sets of algebra tile displays, evaluating each with a given value of x. In all they will solve 4 application problems. Answer key is not included.
Interpreting algebraic expressions is a fundamental skill in beginning algebra. This lesson approaches the task in numerous ways. First, learners assess their understanding with a short worksheet on converting between words and expressions. They then work in pairs to translate between words, symbols, tables of values, and graphic area representations of expressions. Using card sets to match representations keeps them engaged. All or part of this well-written lesson could be used to evaluate, or extend your young scholars' understanding.
A series of interactive whiteboard activities for your algebra scholars is included in this resoure. Learners explore algebraic expressions, rules for input and output, sequences, and functions. They also explore sequences. These activities put the fun back into functions!Examine algebra using digital resources! Budding mathematicians will watch Cyberchase episode segments that propose a problem. Using information gathered from the video, they practice recording number patterns in several different ways: two-column tables, line graphs, and simple algebraic equations. Note: Links are included.
Sixth and seventh graders explore the concept of simplifying algebraic expressions. They review the order of operations and apply properties to simplify and compare them. The author suggests using a "Boxes Game" as a motivator to get teams practicing the new skills. The lesson is not exciting, but it does serve its purpose.
The instructor demonstrates how to plug-in given variables to rewrite an algebraic expression as a numerical expression. Follow the order of operation rules to simplify the numerical expression once you have plugged in those given values.
Prealgebra pupils point out symbols that represent their personalities as an anticipatory set for learning about variables. As the instructional activity progresses, they begin to write and evaluate expressions that represent real-world scenarios. You will appreciate the detail provided in the lesson plan and the student worksheets that are included.
Write algebraic expressions, determine patterns, and evaluate expressions in a real-world context. Learners engage in a series of collaborative activities to identify, model, and give variables for real-world patterns. They write algebraic expressions to match each situation and use their graphing calculator to find the nth term in a sequence.
Watch video clips titled, "Frog Hops Part I" and "Frog Hops Part II," then discuss patterns demonstrated in the videos. Learners will complete an algebraic expressions and equations handout and discuss the answers. They will be able to translate written phrases to expressions and equations and extrapolate input values or solve algebraic relationships with non-consecutive integer values as assessments. Links are included.
|
Vertical Asymptote Teacher Resources
Find Vertical Asymptote educational ideas and activities
Title
Resource Type
Views
Grade
RatingIn this college level Pre-Calculus instructional activity students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts. The three page instructional activity contains forty problems. Answers are provided.
In this calculus instructional activity, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curvesIn this Calculus worksheet, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. The four page document contains seventeen multiple choice questions. Answers are not included.
In this Calculus learning exercise, students are provided with questions that are reflective of the content of their exam. Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. The one page learning exercise contains seventeen multiple choice questions. Answers are not provided.
Students read an article to explain the reasoning behind theorems. In this calculus lesson plan, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they do in AP Calculus.
Students reinforce and practice the concepts of functions, equations, limits, representation and connections. They explore and investigate vertical asymptotes along with graphical, numerical and symbolic analysis. Students experience all the available tools at their disposal.
Students discuss the following topics of Calculus: The Tangent Line Problem, The Area Problem, and Exercises. They find limits graphically and numerically. Students write a mathematical autobiography, they write their earliest memories of mathematics or numbers.
Eleventh graders differentiate between rational and their properties. In this algebra lesson, 11th graders identify the asymptote as vertical or horizontal and the graph as being continuous or not. They examine the numerator and denominator of the graph to help them predict the behavior of the graph.
Learners solve different polynomial equations. In this algebra lesson, students identify the different families of functions. They review the notations for functions and solve problems with function composition.
|
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.
Good Graphing Calculator Examples 1. y = x 4 22 x 3 + 40 x This polynomial looks cubic in many viewing windows. This is a good example to illustrate the need to understand the general behavior before graphing. This is a good place to use TABLE or th
TA Training ManualDepartment of Mathematics The University of Arizona Fall 2007PrefaceWelcome to the University of Arizona Department of Mathematics. Teaching is an important part of the mission of our department, and you are now an important par
1. Interval Notation We start with something that students often forget or have not encountered before calculus: interval notation. The denition goes as follows, take a b: (a, b) = all real numbers x such that a < x < b. (a, b] = all real numbers x
SOLVING EQUATIONS AND A PREVIEW OF DERIVATIVES1. How to use this guide This study guide is meant to review some of the math that you will encounter in calculus. Do not read this like a book. Read actively with paper and pencil in hand. You should c
1. The Idea of a Limit Let me start by repeating something from our textbook We write lim f (x) = Lxcif the values of f (x) approach L as x approaches c. Limits allow us to compute in a new way. They are tricky to use, but the benets in terms of
Problems for Sections 3.6 and 3.7 Name: Problem 1. [Derivative of arccos (x)] Use the method that we used four times in class to nd the derivative of arccos(t) for 1 t 1. Problem 2. [Derivative of xx ] Use the rules of dierentiation to nd the deriv
Solutions to HW for Section 4.1: Alex Petrov 1. (These are problems 10, 12, 14 from the text) For each of the following functions use dierentiation and algebra to nd where the function has local maximum/minimum, where the function is increasing/decre
Do each of the following seven problems. You must include all details of your calculations. You will not receive full credit if I feel that you are skipping steps. 1. Do problem 9 on page 179 of the textbook. 2. Do problem 16 on page 179 of the textb
HW1, Math 4541. The initial mass of a certain species of sh is 7 million tons. The mass of sh, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 2/yr. However, commercial shing removes sh mass at a
Normal form of the Hopf bifurcationThese notes review the derivation of the normal form of the Hopf bifurcation by means of near-identity changes of variables, on the example of the following system: dx = x + y dt (1) dy = x + y x2 y dt The origin
Bootstrap and Jackknife Calculations in RVersion 6 April 2004These notes work through a simple example to show how one can program R to do both jackknife and bootstrap sampling. We start with bootstrapping.Bootstrap CalculationsR has a number o
8Introduction to Matrix Algebra and Linear ModelsWe have already encountered several examples of models in which response variables are linear functions of two or more explanatory (or predictor) variables. For example, we have been routinely expre
ANOVAONE-WAY ANOVA The traditional approach to analyzing half-sib data is the one-way analysis of variance, based on the linear model zij = + si + eij (18.1) where zij is the phenotype of the jth offspring of the ith father, si is the effect of the
MIXED MODELSThis chapter introduces best linear unbiased prediction (BLUP), a general method for predicting random effects, while Chapter 27 is concerned with the estimation of variances by restricted maximum likelihood (REML). These two methods are
EEB 581, Problem Set Two Due Thursday 29 Jan 2004 1 : Suppose you are studying the number of visitations of a pollinator to a ower. Your hypothesis is that yellow owers are better than red owers (in terms of pollinator attraction). Previous studies h
EEB 581, Problem Set Two Solutions 1 : Suppose you are studying the number of visitations of a pollinator to a ower. Your hypothesis is that yellow owers are better than red owers (in terms of pollinator attraction). Previous studies have found that
EEB 581, Problem Set Six Due Tuesday, 2 March 2004 Recall that properties of the generalized inverse A of the matrix A are discussed on pages 183 - 187 for the notes on general linear models. In R, the command for the generalized inverse of a matrix
|
More About
This Textbook
Overview
This is the newly revised and expanded edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangualtions, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but it reaches topics on the frontier of current research. Thus professional programmers will find it a useful tutorial
|
Books
Geometry & Topology
The first book to discuss fractals solely from the point of view of computer graphics, this work includes an introduction to the basic axioms of fractals and their applications in the natural sciences, a survey of random fractals together with many pseudocodes for selected algorithms, an introduction into fantastic fractals such as the Mandelbrot set and the Julia sets, together with a detailed discussion of algorithms and fractal modeling of real world objects. 142 illustrations in 277 parts. 39 color plates.
This is the first of a two-volume exposition on the theory and applications of set-valued maps. Multivalued analysis is a remarkable mixture of many different fields of mathematics, such as topology, measure theory, nonlinear functional analysis and applied mathematics. This two-volume work provides a comprehensive survey of the general theory and applications of set-valued analysis. The existing books on the subject deal with either one particular domain of the subject or present primarily the finite dimensional aspects of the theory. In contrast this volume gives a complete picture of the subject, including important new developments that occurred in recent years and a detailed bibliography. Although the presentation of the subject assumes some knowledge from various areas of mathematical analysis, the authors have made every effort, including the addition of an appendix, to keep the work self-contained. Audience: The work is an essential reference for graduate students and researchers interested in multivalued analysis.
From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem....
This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."
Complex Analysis with Mathematica offers a new way of learning and teaching a subject that lies at the heart of many areas of pure and applied mathematics, physics, engineering and even art. This book offers teachers and students an opportunity to learn about complex numbers in a state-of-the-art computational environment. The innovative approach also offers insights into many areas too often neglected in a student treatment, including complex chaos and mathematical art. Thus readers can also use the book for self-study and for enrichment. The use of Mathematica enables the author to cover several topics that are often absent from a traditional treatment. Students are also led, optionally, into cubic or quartic equations, investigations of symmetric chaos, and advanced conformal mapping. A CD is included which contains a live version of the book, and the Mathematica code enables the user to run computer experiments.
This valuable teachers resource provides teachers with classroom tested activities that help children develop in-depth understandings about 2-D and 3-D geometry concepts and spatial awareness.
Understanding Geometry is more than a book about geometry activities. Kathy provides the following resources for teachers: - Background information on what we need to know about geometry - Assessment and observation moments are highlighted - Geometry Terminology Glossary - Planning Guide for Grades K-3 - Task Cards
The purpose of this book is to explore the rich and elegant interplay that exists between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus. The book is addressed primarily to well-trained calculus students and those who teach them, but it can also serve as a supplement in a traditional calculus course for anyone who wants to see more. The problems, taken for the most part from probability, analysis, and number theory, are an integral part of the text. There are over 400 problems presented in this book.
This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus - a person whose very existence has long been doubted by most historians of mathematics - will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the Renaissance and in the work of Fermat. This account is continued to our own day and ends with an afterword by Joseph Silverman who notes the most recent developments including the proof of Fermat's Last Theorem.
This advanced textbook on topology has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the author freely exploits the methods of locale theory. Third, there is substantial discussion of some computer science applications. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap for computer scientists.
Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education, the traditional development of analysis, often divorced from the calculus they learned at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise naturally from the student's experience of functions and calculus in school? And shouldn't such a course take every opportunity to endorse and extend the student's basic knowledge of functions? In Yet Another Introduction to Analysis, the author steers a simple and well-motivated path through the central ideas of real analysis. Each concept is introduced only after its need has become clear and after it has already been used informally. Wherever appropriate, new ideas are related to common topics in math curricula and are used to extend the reader's understanding of those topics. In this book the readers are led carefully through every step in such a way that they will soon be predicting the next step for themselves. In this way students will not only understand analysis, but also enjoy it.
The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants.
The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces.
|
0486650383
9780486650388
Introduction to Analysis (Dover Books on Mathematics):Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. Rigorous and carefully presented, the text assumes a year of calculus and features problems at the end of each chapter. 1968 edition.
Back to top
Rent Introduction to Analysis (Dover Books on Mathematics) 4th edition today, or search our site for Maxwell textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Pearson.
|
Beginning Topology - 05 edition
Summary: With a nice balance of mathematical precision and accessibility, this text provides a broad introduction to the field of topology. Author Sue Goodman piques student curiosity and interest without losing necessary rigor so that they can appreciate the beauty and fun of mathematics. The text demonstrates that mathematics is an active and ever-changing field with many problems still unsolved, and students will see how the various areas of mathematics-algebra, combinator...show moreics, geometry, calculus, and differential equations-interact with topology. Students learn some of the major ideas and results in the field, do explorations and fairly elementary proofs, and become aware of some recent questions. By presenting a wide range of topics, exercises, and examples, Goodman creates an interactive and enjoyable atmosphere in which to learn topology.
Benefits:
The first three chapters provide the foundation for the course and then Chapters 4-7 branch out into some of the various fields of topology: combinatorial topology and map coloring, differential and algebraic topology, and knot theory.
The book introduces the flavor of topology as a whole while introducing the essentials in the context in which the students work (primarily subsets of Euclidean space).
A wealth of examples and exercises appear throughout each chapter (as opposed to the end of the chapter) to keep students actively involved in the process of learning and discovery.
The projects are designed to be less routine and are ideal for group work. They may involve some exploratory activities where there is not a simple answer, and may lead students through more complicated arguments.
Maps and Map Coloring. The 5-color Theorem for S². Introduction to Graphs. Graphs in Surfaces. Imbedding the Complete Graphs, and Graph Coloring.
5. VECTOR FIELDS ON SURFACES.
Vector Fields in the Plane. Index of a Critical Point. Limit Sets in the Plane. A Local Description of a Critical Point. Vector Fields on Surfaces. Proof of the Poincaré-Hopf Index Theorem.
6. THE FUNDAMENTAL GROUP.
Path Homotopy and the Fundamental Group. The Fundamental Group of the Circle. Deformation Retracts. Further Calculations. Presentations of Groups. The Seifert-van Kampen Theorem and the Fundamental Groups of Surfaces. Proof of the Seifert-van Kampen Theorem.
7. INTRODUCTION TO KNOTS.
Knots--What they are and How to Draw Them. Prime Knots. Alternating Knots. Reidemeister Moves. Some Simple Knot Invariants. Surfaces with Boundary. Knots and Surfaces. Knot Polynomials. A Short Knot Table.59.94 +$3.99 s/h
New
mermaidbookstore Cupertino, CA
0534424260 HARDCOVER. NEW. Never used. We do not ship to PO Box/APO/FPO addresses.
$75105.00 +$3.99 s/h
New
bluehouse acton, MA
Brand new.
$151
|
Benefits of Algebra
Algebra is a branch of mathematics that deals with finding the unknown part to a particular problem or concern. It involves equations and formulas that can help a person solve the problem or the "unknown". Many people consider algebra as too complicated to learn but experts on this subject actually point out that learning this branch of mathematics can actually reap some benefits. Here are some:
1. Algebra helps one to be more analytical
Algebraic equations or formulas involve representation of various variables into letter symbols. Through these letter representations one can come up with a specific formula to solve a particular problem and find the unknown part. The part where one represents one variable with a specific letter and the formula or equation that follows thereafter requires analysis of the main problem. In order to get the right answer, one must understand the problem and therefore must analyze it before making any equation to solve it. Constant exposure to these equations makes one think deeper before solving any problem.
2. Algebra helps one to become more organized
Organization may be in the form of thinking or literally being neat and tidy with things. But regardless of which type is acquired from algebra, people actually benefit in this context. Solving problems through algebra requires one to organize variables and make the appropriate equation. The skill acquired over time actually helps people in terms of organizing thoughts or activities.
3. Knowledge of algebra may be applied to real-life situations
Some people complain that algebraic equations don't have any use to real life. But the experts would usually disagree because the problem-solving and/or analytical skills acquired from algebra may actually be applied to real-life situations and concerns.
The benefits of algebra are not restricted to mathematical equations and formulas. Over time, one may actually acquire skills that allow him/herself to think deeper or organize thoughts better which could come in handy for everyday concerns.
|
Find a HedwigLinear Algebra in an area of mathematics that studies matrices, how they are used, and what can be done with them to solve a problem. They are mostly used for solving a system of equations in order to determine the answers. I have studied many areas of LA, not only the theoretical part but also the application's partWhen I was in high school I was a competitive mathlete and varsity tennis player for 4 years. I also worked as a tennis coach for 3 years, eventually landing me a spot on the University of Rochester tennis team. I earned my bachelors in Biomedical Optics, with minors in mechanical engineering a...
|
8 covers Triangles, Parallel Lines, Similar Polygons 1 covers Lines and Segments 4 covers Perpendiculars.Format: PaperbackPublisher: Key Curriculum Press
Saxon Geometry includes all topics in a high school geometry course, presented through the familiar Saxon approach of incremental development and continual review. The homeschool kit includes the Student Textbook, with 120 Lessons, 12 Investigations, and 15 Labs, the Solutions Manual, with step-by-step solutions to every problem in the book, and the Homeschool Packet, which includes Test Forms and Test Answers. Recommended in Catholic Heritage High School, Seton Home School Grade 10 Format: Textbook, Solutions Manual, Homeschool Packet Publisher: SaxonWe Accept
|
Intermediate Algebra : Text and Workbook - 9th edition
Summary: For the modern student like you--Pat McKeague's INTERMEDIATE ALGEBRA, 9E--offers concise writing, continuous review, and contemporary applications to show you how mathematics connects to your modern world. The new edition continues to reflect the author's passion for teaching mathematics by offering guided practice, review, and reinforcement to help you build skills through hundreds of new examples and applications. Use the examples, practice exercises, tutorials, videos, and e-Book ...show moresections in Enhanced WebAssign to practice your skills and demonstrate your knowledge. ...show less
113310364280.10 +$3.99 s/h
Good
southbrooklyntexts Brooklyn, NY
1133103642118
|
This lesson develops conceptual understanding of linear programming by
walking students through the process of linear programming. Along the
way, students are asked to explain what is happening and why, which
allows them to internalize the procedural skill necessary to solve
linear programming problems.
The basis of this lesson is the Dirt Bike Dilemma
activity sheet. Before attempting to use this material in class, be
sure to look over the activity sheet and solve the problems on your
own.
In particular, you should notice that the activity sheet
requires the use of TI Graphing Calculators. If you intend to use this
lesson with a different type of calculator or with a spreadsheet
program, you will need to modify the activity packet before copying and distributing it to students.
To be prepared for this lesson, you will need to copy the DRTBK program into your calculator. Right click on the DRTBK Program and choose "Save Target As…" Then, save the file to your computer desktop.
Double click on the TI ConnectTM icon.
Attach the TI‑83 plus or TI‑84 plus graphing calculator to the computer using the TI GRAPHLINKTM cable. (This USB cable comes with the calculator.)
Click on Data Explorer or TI Group Explorer.
Drag the DRTBK icon from the desk top into the TI Data file.
Click on DRTBK.8xp to highlight it.
Select Actions from the tool bar.
Select Send to TI Device.
The computer should show the file being transferred to the calculator.
You will also need a program called Transformation on your calculator. It may already be there. You can determine if the Transformation program is installed by pressing the APPS button and scrolling through the alphabetical list of applications. If Transformation is not listed, you will need to install the program. The Transformation Graphing Application can be downloaded from the TI Web site. As before, download the program to your computer, and transfer it to your calculator using a TI GRAPHLINKTM cable and TI ConnectTM software.
Each student will need a TI‑83+ or TI‑84+ graphing calculator containing the DRTBK program and the Transformation Graphing
application. If these programs are not installed, take some time at the
beginning of class to have students download these programs to their
calculators. In addition, each student will need a copy of the Dirt Bike Dilemma activity sheet. Each team will also need some colored pencils and a deck of the Dirt Bike Cards.
Divide the class into teams of three students. One member of the
team should be given all of the Wheel cards; this team member is
responsible for completing Question 1 on the activity sheet. Similarly,
another team member should be given all of the Exhaust Pipe cards and
complete Question 2, and the last team member should receive all of the
Seat cards and complete Question 3.
This lesson is designed to guide students to discover and
consolidate the concepts associated with solving linear programming
problems. Your role as teacher is to assess their understanding and
provide assistance if they encounter difficulties. Move from one team
to another, listening to the discussions. Encourage students to work
cooperatively; try to refrain from answering individual student
questions, especially those that can be answered by the team.
Read the problem out loud to your students. Ask a student to describe the problem in his or her own words.
The first part of the lesson (Questions 1‑3) asks the students
to work independently. Basically, Questions 1 3 deal with the same
concepts. Each team member is asked to complete a table and graph,
relating the number of Rovers that can be assembled given the number of
Riders that have been assembled, based on the number of wheels, exhaust
pipes, or seats. The purpose of these questions is to help the student
visualize the problem and to come up with the constraints for the
linear programming problem that they will solve.
Randomly ask different teams to explain how they arrived at
their responses, especially to Questions 7, 9, 10, 12, 13, and 14. If
you are not satisfied with their response, ask some probing questions,
such as the following:
What happens if I select a point outside the feasible region?
Can the corner points also tell me the combination that will give the minimum profit?
Continue to question until you feel that they are making a connection. Visit each group at least once.
Bring the class together after most teams have completed Question 10. Go through the steps with the class of how to set up and use the DRTBK
program. (The procedure for using this program is found in Question 11
on the activity sheet.) Also, go through the first three steps of using
the Transformation Graphing Apps. (These steps are found in
Question 12 on the activity sheet.) When completing the table in
Question 11, tell your students if the maximum value occurs more than
once, they should write down both combinations.
When all teams have completed Questions 1 through 13, have a
whole‑class discussion. Use the questions from the Questions For
Students section.
On the board or overhead projector, list all of the responses to Question 14, "List five
major steps required to solve a linear programming problem?" After all
responses have been collected, allow the class to narrow the list down
to the five major steps.
Allow the class to complete Question 14 on the activity sheet.
This can be done with the time remaining in class or as a homework
assignment. If used as a homework assignment, the solution should be
discussed the next day.
1. Students can play the Clue Cards Game as an assessment activity. As students work, circulate and assess their ability to solve linear programming problems.
Make one copy of the clue cards for each team. Copying each set (Dog Food, Painting, and Four Wheelers)
onto a different color of card stock can help manage the collection of
cards when teams are finished. Cut each sheet into four clue cards.
Each team receives three sets of four clues cards. Place a set of cards
for each team in an envelope. Each set of four cards contains the
information for one linear programming problem.
2. Copy the game board to a transparency sheet, and place it on the
overhead projector. Assign a colored chip or marker to each team. As
each team correctly solves a set of clues, move their colored chip to
the next level.
The class should be divided into teams of four students.
Each team should have an envelope containing three sets of
clue cards, scratch paper, pencils, graph paper, a ruler, and a
graphing calculator (optional).
To begin, open the envelope and find the Dog Food clue cards. Give one card to each member of each team.
Students may only look at the clue on the card they received.
They may not look at anyone else's. Each students should read their
clue to their team members. Cooperatively, they should solve the
problem.
When a team thinks that they have arrived at the solution to a problem, they should raise their hands. They should not say the answer aloud.
If a team's solution is correct, direct them to go to the set of clue cards for Paintings.
Then, move their playing piece to the next level, and award the team
five points. If the team's solution is not correct, ask them to look
over their work and try again.
Students should continue this process until they have found the solution to all three sets of clues.
3. A correct solution to Dog Food is worth five points. A correct solution to Paintings is worth ten points, and a correct solution to Four Wheelers
is worth fifteen points. The first team to find the solutions to all
three sets of clues wins an additional twenty points. The second team
wins an additional ten points, and the third team wins an additional
five points.
Questions for Students
1. What is a feasible region? [The feasible region is the region formed by the intersection of all of the constraints.] 2. What is an objective function? [An objective function is function for which you are trying to find the minimum or maximum value.] 3. Why must the corner points of the feasible region produce the maximum or minimum value of the objective function? [The corner points of the feasible region produces the maximum or minimum value of the objective function because as the y‑intercept of the objective function line increases (or decreases), the last point it encounters as it leaves the feasible region is one of the corner points.] 4. Are there times when no unique point will minimize or maximize an objective function? If so, when? If not, why not? [There are times when there is no unique point that will minimize or maximize an objective function. This occurs when the objective function lines are parallel to one of the sides of the feasible region. Therefore, as the y‑intercept of the objective function line increases (or decreases), the last object it encounter is a line segment and not a single point. In this case, there will be multiple points that yield the maximum (or minimum) value.] 5. What are the five major steps necessary for solving linear programming problems? [The five major steps for solving a linear programming problem are: 1. Determine the inequalities that represent the constraints. 2. Graph the feasible region. 3. Determine the corner points of the feasible region. 4. Determine the objective function. 5. Substitute the coordinates of the corner points into the objective function to determine which yields the maximum (or minimum) value. Note that student lists may appear differently, but they should contain these same basic ideas.]
Teacher Reflection
Was students' level of enthusiasm/involvement high or low? Explain why.
|
Mathematics and Its includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincar conjecture. The book has also been enriched by added exercises. Book jacket. From a review of the second edition:"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historic... MOREal contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here."(David Parrott, Australian Mathematical Society)This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it's accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.
John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Numbers and Geometry (1998) and Elements of Algebra (1994).
|
Graph
Looking for a software utility that would help math students plot various graphs? You've just stumbled upon the most hip one. GraphSight 2.0.1 is a newly updated popular and feature-rich comprehensive 2D graphing utility with easy navigation, perfectly suited for use by high-school and college math students. The program is capable of plotting Cartesian, polar, table defined, as well as specialty graphs, such as trigonometric functions (sin, cos, tg, and others). Importantly, it features a simple data and formula input format, making it very practical for solving in-class and homework algebra or calculus problems. The program comes with customizable axis options (color, style, width, grid), and table data import/export options. The one feature that makes it very popular among both math teachers and students is that the graphs the program plots are fully interactive. This object-oriented approach lets the students zoom in and out, see the points of intercept and do much more. Also, the program allows multiple graphs plotting. GraphSight is much easier to use than most similar software titles. Program's user interface is well labeled and is extremely simple to follow. The program runs under Windows 98/NT/ME/2000/XP and requires Internet Explorer 5.0 or higher installed. The price of a single copy is only 19 US Dollars. There is an unconditional 60-day money back guarantee. The benefits of registration include removal of all limitations, life-time worth of free updates and responsive technical support. Academic resellers, schools and colleges receive a significant discount for registering multiple copies. There also is a feature limited freeware version of the program called GraphSight Junior. Get your copy of GraphSight now!GraphSight Match at Super Shareware
|
How to use this Guide for Mathematics Resources
Welcome to the Mathematics Study Guide. This is written to support the Mathematics Department and its related majors.
The tabs for each language will take you to various resources in print & electronic media - books, journals, databases, blogs, etc. Feel free to email me at fdecker@eastern.edu or use either of the Instant Message links in the box to the right.
Mathematics Department
Mathematics Dictionary
The study of numbers, shapes, and other entities by logical means. It is divided into pure mathematics and applied mathematics, although the division is not a sharp one and the two branches are interdependent. Applied mathematics is the use of mathematics in studying natural phenomena. It includes such topics as
|
Post a reply
Topic review (newest first)
mathsyperson
2005-12-13 23:27:14
A2 is the second year of A-levels, and C3 is the 3rd module in the core section of the maths A-level.
Maths A-levels have 4 core modules that everyone does and then 2 modules that you have a choice of. You can do either mechanics (if a ball is dropped off a cliff, how fast is it going when it hits the ground, etc.), statistics (if Timmy throws 5 dice, what's the chance of him scoring 20, etc.) or decision (is it possible to draw a shape without going over lines or taking your pen off the paper, etc.).
Flowers4Carlos
2005-12-13 19:17:10
what is "Maths at A2 Level, (C3)"???
justlookingforthemoment
2005-12-13 10:27:55
Tredici, you are nowhere near a 'complete amateur'... don't worry! Everyone is welcome, so you don't have to feel like you are barging in.
mathsyperson
2005-12-13 08:10:07
What a great thankyou! I'm sure no one minds you 'crashing our parade'. There are loads of people here who never say anything related to maths anyway, so you're actually one of the better people!
And I'm flattered by the offer, but I couldn't possibly take on apprentices for the simple reason that I am not a master.
MathsIsFun
2005-12-13 08:02:12
Welcome, Tredici !
Tredici
2005-12-13 07:47:13
In the time it took you to do that for me, I had a quick browse around the forum, I don't really know what to say. All I can say is you're all incredibly good at maths, and I really hope you don't mind a not so strong mathematician like myself crashing your parade.
'Mathsyperson', thank you very much. Probably the most annoying thing about maths is once you know the answer getting to it is is a heck of a lot easier. Thanks again my friend!
EDIT: Mathsyperson, are you interested in taking on an apprentice? .
mathsyperson
2005-12-13 07:36:27
cos (A+B) ≡ cosAcosB - sinAsinB
Substituting A = B gives cos 2A = cos²A - sin²A
If we then subsitute θ = 2A, we get cosθ = cos² (θ/2) - sin² (θ/2)
Using the identity that cos²θ ≡ 1 - sin²θ:
cosθ = 1 - sin²(θ/2) - sin²(θ/2) = 1 - 2sin²(θ/2).
Job done.
Tredici
2005-12-13 07:26:13
Hey there, I'm not sure where the majority of this community reside, but I'm David and I live in England. I study Maths at A2 Level, (C3). I'm not sure if that's what it's called overseas but I hope it's the same or there's an equivalent.
Anyway, I'm having problems with double and half angle formula application and useage. I've been given a question, and I'd be so undoubtedly greatful if one of you mighty maths minds could work it through for me. Here it is:
Using the identity for cos (A+B), prove that cos θ = 1 - 2 sin² (½θ).
Probably looking at this, you're thinking I'm a complete amateur, but I don't have a clue; I'm stumped. Please help!
|
MATH 1050 MATHEMATICAL IDEAS IN CONTEMPORARY SOCIETY 4 CR. An examination of mathematical ideas and insights that permeate society and influence modern thinking. The course topics derive from areas including decision making, geometry and measurement, statistics and data analysis, and management science. Other topics may be included depending on current interests of instructor and students. Offered every semester. Also offered in Weekend College; meets every week. Prerequisites: First-year high school algebra and geometry and appropriate level on mathematics/statistics placement assessment. MATH 1050 does not serve as a preparation for any other mathematics course.
MATH 1070 FINITE MATH ANALYSIS 4 Cr. Elementary set theory; linear equations and matrices; linear programming; finite probability and statistics; applications in managerial, biological and social sciences. Offered every semester. Also offered in Weekend College; meets every week. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment. MATH 1070 does not serve as a preparation for any other mathematics course.
MATH 1080 STATISTICAL ANALYSIS 4 Cr. Introduction to fundamental uses and misuses of statistics. Exploratory data analysis, regression and correlation, uncertainty and randomness, intuitive probability, one- and two-sample inference, one-way analysis of variance, interpretation and communication of results. Use of computers integrated throughout course. Offered every semester. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment. Credit is given for only one of the following courses: ECON 2200, ECON 2250, MATH 1080 or PSYC 2050.
MATH 1110 FUNCTIONS WITH CALCULUS 1A 4 Cr. This course is the first of a two-course sequence that integrates calculus with algebra and precalculus concepts. Topics include the basic functions, the calculus of limits and the derivative as related to algebraic functions. The course is intended for those who plan to take MATH 1120 Functions with Calculus 1B. MATH 1110 does not satisfy the math/stat requirement in the liberal arts core. The two-course sequence (MATH 1110/1120) does satisfy the math/stat requirement in the liberal arts core. Prerequisites: High school or higher algebra and appropriate level on math placement/assessment test.
MATH 1120 FUNCTIONS WITH CALCULUS 1B 4 Cr. This course is the second of a two-course sequence that integrates calculus with algebra and precalculus concepts. Topics include the calculus of limits and the derivative as related to exponential, logarithmic, and trigonometric functions; introduction to integration. Completion of this course with MATH 1110 satisfies the math/stats liberal arts core requirement; the sequence MATH 1110-1120 prepares students for MATH 1140 Calculus II. A student may NOT receive credit for both Math 1120 and Math 1130 (Calculus I). Prerequisite: Grade of C or better in MATH 1110.
MATH 1130 CALCULUS I 4 Cr. Limits, derivatives and integrals of functions of one real variable, applications. Offered every semester. You may not receive credit for both MATH 1130 and MATH 1120. Prerequisites: Four years of high school mathematics and appropriate level on mathematics/statistics placement assessment.
MATH 2500 MATHEMATICAL STRUCTURES 4 Cr. The real number system and its operations, patterns and relations, number sense, number theory, space and shape, data collection, and randomness and uncertainty, with a special emphasis on problem solving and communication. This course is designed to fulfill the Minnesota Board of Teaching's requirements for grades K-5 teachers of mathematics. For elementary education majors. Does not fulfill liberal arts core requirement in mathematics/statistics. Offered every semester. Also offered in Weekend College. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment.
MATH 2510 MATHEMATICS FOR MIDDLE SCHOOL TEACHERS 4 CR. Number sense; space, shape and measurement; data investigations; randomness and uncertainty; patterns, relations and functions; and discrete mathematics with applications to middle school mathematics. For elementary education majors seeking a mathematics specialty. Does not fulfill the liberal arts core requirement in mathematics/statistics. Also offered in Weekend College; meets every week. Prerequisite: MATH 2500.
MATH For declared mathematics majors only. Prerequisites: Faculty, department chair and dean approval.
MATH 4994 TOPICS 4 Cr. The subject matter of the course is announced in the annual schedule of classes. Content varies from year to year but does not duplicate existing courses. Possible topics include Real Analysis, Number Theory, Mathematical Logic, History of Mathematics, Topology, Complex Variables. Students are invited to suggest topics.
OCAD 0700 PROBLEM SOLVING AND ARITHMETIC 4 Cr. This course is a review of basic mathematics. Emphasis is on problem-solving strategies and applications, as well as computational skills needed for success in algebra and college-level courses. Topics include fractions, decimals, ratio and proportion, percent, signed numbers, measurement and geometric figures. Basic algebraic concepts are integrated throughout the course. Successful completion of OCAD 0700 ensures placement into OCAD 0800, MATH 1050, MATH 2500OCAD 0800 ELEMENTARY ALGEBRA 4 Cr. This course is appropriate for you if you have a sound background in basic arithmetic but have not been exposed to algebra, or if you need to strengthen your basic algebra skills. Topics may include properties of real numbers, order of operations, linear and quadratic equations, exponents, polynomials, graphing and systems of linear equations. Successful completion of OCAD 0800 ensures placement into MATH 1050, MATH 1070, MATH 1080, MATH 2500, ECON 2200, ECON 2250, PSYC 2050CSCI 2070 PRINCIPLES OF COMPUTER ORGANIZATION 4 Cr. Introduction to the fundamental concepts of computer organization and machine architecture. Implementation of these concepts with the assembler of a particular machine. Offered in alternate years. Prerequisite: CSCI 1110.
CSCI 4602 or 4604 INTERNSHIP 2 or 4 Cr. Structured out-of-class learning experience that takes place on- or off-campus and includes a substantial work component. An internship involves you in a particular profession in an exploratory way to test career interests and potential. To initiate an internship experience, you first meet with the internship coordinator in the Career Development Office. Prerequisites: Faculty sponsorship and department chair approval.
CSCICSCI 4994 TOPICS: ADVANCED CONCEPTS IN COMPUTER SCIENCE 4 CR. Focus differs from term to term with such offerings as database management, artificial intelligence, analysis and design of software. Credit may be obtained under this course number more than once for different emphases. Offered in alternate years. Prerequisite: CSCI 1120.
URL: This page was created on 05/08/2007 and last updated on 02/09/2009. Comments, questions and feedback about this site may be addressed to registrar@stkate.edu.
|
In addition to the ten (10) core requirements listed above, each student must complete:
MATH 110 College Mathematics I
Two (2) electives in mathematics: one (1) at the 200-level or above; one (1) at the 300-level or above.
It is strongly recommended that students select MATH 201 Intuitive Geometry and MATH 301 Problem Solving and Modeling in Mathematics as the two mathematics electives among the core courses. Choose Option A or B
|
Education Announces Interactive E-books with ALEKS 360
McGraw-Hill Education has introduced ALEKS 360, a mathematics solution that combines an artificial intelligence and personalized learning program with a fully integrated, interactive e-book package. ALEKS 360 delivers assessments of students' math knowledge, guiding them in the selection of appropriate new study material, and recording their progress toward mastery of course goals. Through adaptive questioning, ALEKS accurately assesses a student's knowledge state and delivers targeted instruction on the exact topics a student is most ready to learn.
The e-books featured within ALEKS 360 are interactive versions of their physical counterparts, which offer virtual features such as highlighting and note-taking capabilities, as well as access to multimedia assets such as images, video, and homework exercises. E-books are accessible from ALEKS Student Accounts and the ALEKS Instructor Module for convenient, direct access.
The initial e-books to be offered in ALEKS 360 include: Introductory Algebra, Second Edition, by Julie Miller and Molly O'Neill; Intermediate Algebra, Second Edition, by Miller and O'Neill; College Precalculus, Second Edition, by John W. Coburn; and College Algebra, Second Edition, by Coburn.
|
INTRODUCTION
The mathematical sciences provide the tools and the foundation on which the structure
of science and technology is built. This has been especially true for the development of
computational science in recent decades. The mathematical sciences contribute
fundamentally to the development of hardware, software, and networks for computational
science, and to the development of human resources for that field--in other words, to all
the major components of high-performance computing and communications. Mathematics
is also critical to the modeling that translates important problems into computable form,
to the numerical analysis enabling the computation, and to the statistical analysis for
assimilating physical data and numerical output.
The United States is now embarking on a program directed at building the
high-performance computing and communications infrastructure necessary for the solution
of "Grand Challenge" problems of major scientific and societal importance.] This report
documents the essential role of the mathematical sciences both in building this
infrastructure, according to the plan of the federal High Performance Computing and
Communications (HPCC) program, and in ultimately rising to the grand challenges of
computational science. A broad collection of mathematical tools will be required, and the
continued development of new mathematics must be an integral part of both the HPCC
program and ongoing attacks on grand challenge problems.
The primary conclusions of this report are as follows:
. The goals of the HPCC program cannot be met
challenge problems cannot continue, without the
mathematical sciences community. Therefore.
, and progress against grand
active involvement of the
~ , Therefore, relevant mathematical sciences
research should be a significant part of the heightened research effort associated
with the HPCC program.
1The 1991 report Grand Challenges: High Performance Computing and
Communications, from the White House Office of Science and Technology Policy, offers
this definition: "A Grand Challenge is a fundamental problem in science and engineering,
with broad economic and scientific impact, whose solution could be advanced by applying
high performance computing techniques and resources." There is no exhaustive list of such
problems, but examples such as weather and climate prediction, structural biology,
semiconductor design and modeling of turbulence are indicative of the range and
complexity of the targeted problems.
1
OCR for page 1
. The mathematical research topics listed in Section 5 are particularly germane to
the HPCC program, as evidenced by their frequent mention in Sections 2 through
4.
. Research and education relative to high-performance computing and
communications and grand challenge problems must link a broad range of physical
and life sciences, the mathematical sciences, and computational science. Therefore
multidisciplinary settings offer the best chance for successes. Many of the advances
profiled in Sections 2 through 4 were achieved in such settings.
Section 2 below identifies where the mathematical sciences have contributed in the past
to progress in high-performance computing and communications, Section 3 surveys
potential near-term advances relevant to the goals of the HPCC program and beyond, and
Section 4 samples the role of mathematical research in selected grand challenge problems.
2
|
£4,095,080.79 raised for great causes
Mathematical Modelling And Numerical Methods In Finance
Mathematical finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical MShow moreethods in Finance addresses the three most important aspects in the field: mathematical models, computational methods, and applications, and provides a solid overview of major new ideas and results in the three domains.* Coverage of all aspects of quantitative finance including models, computational methods and applications * Provides an overview of new ideas and results * Contributors are leaders of the fieldShow less
|
introduces students to basic techniques of writing proofs and acquaints them with some fundamental ideas. The authors assume that students using this text have already taken courses in which they developed the skill of using results and arguments that others have conceived. This text picks up where the others left off -- it develops the students' ability to think mathematically and to distinguish mathematical thinking from wishful thinking.
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.