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The Geometry Center at the University of Minnesota has created these learning modules, which ?emphasize geometric concepts of calculus while examining applications of mathematics to the physical and life sciences.? Eac... This site created by Eric Schechter, provides an introduction to the Gauge Integral (also known as the generalized Riemann integral, Henstock integral, and the Kurzweil integral among other names). The site is divided... Murray Bourne developed the Interactive Mathematics site while working as a mathematics lecturer at Ngee Ann Polytechnic in Singapore. The site contains numerous mathematics tutorials and resources for students and... The American Mathematical Association of Two-Year Colleges (AMATYC) has compiled a collection of mathematics resources related to various subjects and disciplines. ?Math Across the Community College Curriculum? is the... The University of Akron has created these excellent algebra tutorials that review some of the main topics in the discipline. There are ten lessons, which focus on topics like radicals and exponents, basic algebra,...
0131444476 9780131444478 Prealgebra:Appropriate for freshman-level prealgebra courses.This engaging workbook series presents a student-friendly approach to the concepts of basic math and algebra, giving students ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the worktexts are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay ensures that students have the most up-to-date, relevant text preparation for their next math course; enhances students' perception of math by exposing them to real-life situations through graphs and applications; and ensures that students have an organized, integrated learning system at their fingertips. the integrated learning resources program features text-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5. Back to top Rent Prealgebra 4th edition today, or search our site for K. Elayn textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Pearson.
Reader Aziz Khan asks: "Is there a list of mathematical subjects that you think Ph.D. students in control should have a solid grip on so that they can understand and contribute to the control literature?"
ISBN13:978-0821847886 ISBN10: 0821847880 This edition has also been released as: ISBN13: 978-0534389055 ISBN10: 0534389058 Summary: This highly successful and scholarly book introduces students with diverse backgrounds to the various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with careful proofs and scientific background. An in-depth treatment of the topics of numerical analysis, a more scholarly approach, and a diff...show moreerent menu of topics sets this book apart from the authors' well-respected and best-selling text: NUMERICAL MATHEMATICS AND COMPUTING, FOURTH EDITION. Benefits: Problems have been separated into Problems and Computer Problems. This text includes an extensive and updated bibliography of more than 400 items. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. NEW! The authors have added a chapter on optimization. Subtopics addressed in this new chapter are methods of descent, quadratic fitting algorithms, the Nelder-Meade algorithm, simulated annealing, genetic algorithms, Pareto optimization, and convex programming NEW! Up-to-date information about resources on the Internet has been added. NEW! References to problems and to other parts of the book now include page numbers to help the reader find them easily. NEW! Theorems are displayed with names or titles to help the reader remember them. NEW! Approximately 20% of the problems are new to this edition. NEW! The book has a new design that makes it easier for students to find and review information. 4. Solving Systems of Linear Equations. Matrix Algebra. The LU and Cholesky Factorizations. Pivoting and Constructing an Algorithm. Norms and the Analysis of Errors. Nuemann Series and Interactive Refinement. Solution of Equations by Iterative Methods. Steepest Descent and Conjugate Gradient Methods. Analysis of Roundoff Error in the Gaussian Algorithm
Book summary This highly anticipated revision builds upon the strengths of the previous edition. Sipser's candid, crystal-clear style allows students at every level to understand and enjoy this field. His innovative "proof idea" sections explain profound concepts in plain English. The new edition incorporates many improvements students and professors have suggested over the years, and offers updated, classroom-tested problem sets at the end of each chapter. [via]
Facilities and Resources The Department of Mathematics is a leader among universities in the integrated use of technology to facilitate learning. Most courses are taught in classroom-laboratories equipped with computers. The department uses the computer algebra system Maple, as well as SPSS for statistics and ODE Architect for differential equations. The Math Center provides enrichment and testing materials, facilities for group study, and computers. Mathematics majors, both graduate and undergraduate, serve as peer tutors and gain valuable experience in teaching others.
Thomas and received an A in the course. Linear Algebra is the study of matrices and their properties. The applications for linear algebra are far reaching whether you want to continue studying advanced algebra or computer science.
A continuation of Algebra 1 (see course description). Use of irrational numbers, imaginary numbers, quadratic equations, graphing, systems of linear equations, absolute values, and various other topics. May be combined with some basic geometry. Emphasis on the ideas that lie behind dates, facts and documents.
The language of Physics is Math. With math, humans can both model and use the laws observed for their benefit. Precalculus is an extended review of mathematical prerequisites for the study of calculus, such as algebra, analytical geometry, and trigonometry.
Book summary The simplicity of the language, the organization of the ideas, and the conciseness with completeness are this book's main strengths as it introduces abstract algebra. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Theorem proofs do more than just prove the stated results, they are examined so readers can gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. [via]
Students will be given the opportunity to use software packages to explore some of the above areas. Those studying the Symbolic Computation course (MT4111) can implement some of the above algorithms in MAPLE.
This course, presented by MIT and taught by Professor Alar Toomre, provides an introduction to numerical analysis. The material looks at the basic techniques for the efficient numerical solution of problems in science... Created by John Michel for the Connected Curriculum Project, this is a module to calculate numerical approximations to definite integrals by summing the areas of rectangles or trapezoids, to understand how these... Working at the University of Nottingham, Dr. Rebecca Taylor and her colleagues have created this very fine set of resources designed to assist teachers who seek to utilize mathematics in the service of teaching... Provided by the University of Vienna?s futureMedia initiative, the Maths Online Gallery consists of a large collection of extremely useful interactive learning units that demonstrate mathematical concepts. A large n...
COMPUTER ALGEBRA WITH MATHEMATICA The sessions with Mathematica are intended to be self-contained, with all the instructions you need available on the computer screen and in the lecture/demonstration periods. These notes are just meant to help to get you started, and to remind you of a number of key points. GETTING STARTED Log on to WTS, locate and double-click on the Mathematica icon. The MATHEMATICA examples The files which you will be using should be copied from the World-Wide Web. Point your web browser at Tony Harker's home page ( and follow the links to the Mathematica page. Make copies of the Mathematica files in your own workspace. The first collection of files you should download consists of a set of familiarisation exercises: uclintro.nb An introduction to Mathematica and what it can do graph.nb Graphics and the visualization of functions diffeq.nb Ordinary differential equations numer.nb Numerical analysis You should run through all of the above, to see what sort of things Mathematica can do and, more importantly, to get used to the command syntax. There are some simple exercises embedded in these files, which you should tackle with as much help as you need from the demonstrators. Your log-book (see below) should contain records of these exercises. In addition, there are two short tests, two short programming exercises, and a longer programming problem to be completed as part of the assessment of the course. The relevant files are: test1.nb Deadlines: Wednesday 16th October/Wednesday 20th November; test2.nb Deadlines: Wednesday 23rd October/Wednesday 27th November. I will tell you when these files are available. image.nb A simple image analysis exercise plotfield.nb More complex plots and pictures. final.nb The Schrodinger equation for a finite potential well Deadlines: Friday 8th November/Friday 13th December. The deadlines for the image analysis, complex plot, and final exercise are also the deadlines for handing in laboratory notebooks. You might also be interested to see a couple of other examples of the use of Mathematica, but note that these do not form part of the assessed course. 1 animation.nb A simple example of an animated graph datafit.nb How to fit experimental data using Mathematica Huygens.nb Huygens's principle and beyond: diffraction ising.nb A study of statistical problems in magnetism. Nacl.nb Drawing a crystal structure Pendulum.nb A double pendulum analysed, with animation Phase.nb Simple introduction to phase space plots varia.nb The variational principle and perturbation theory in quantum mechanics applied to the helium atom THE NOTEBOOK CONCEPT What you see on the screen is controlled by a Windows package called the Mathematica Front End (MFE). This serves as an interface between you and the program which does the computation, the Mathematica Kernel (MK). MK runs as a separate task. In principle it is possible to have several copies of MK running simultaneously, but as MK is quite a large program, and can require large amounts of memory, it is more usual to work with only one active copy. It is also possible to have MFE running on one machine connected to MK on another. In this case, we will run one copy of MFE, one copy of MK, on a single PC for each user. Interaction through MFE is divided into blocks, for formatted text (essentially, comments), expression input, and output. Each block of work which is done in Mathematica, which will be a mixture of these types of block, may be kept together in a 'notebook'. When Mathematica is loaded, it starts one copy of MFE running and opens a new notebook. When it is asked to do a computation (rather than just handling text) it will start MK - as a result the first computation will always appear to take rather a long time. The MFE notebook has some similarities with a hand-written notebook, but also enough differences to make the analogy a tricky one. For example, once an expression has been typed into a notebook and the SHIFT+RETURN key combination has been pressed, it is passed to MK where it is executed, and the result is returned to MFE. If the expression had been previously executed, then the result of that execution would be deleted as soon as the return key was pressed. It is vital to remember that MK has no way of knowing where the input expression was on the notebook: it is the order in which the expressions are passed to MK that matters. Another point to be wary of is that if you work with more than one notebook but one copy of MK then if you alter, say, the value of x in one notebook then that is the current value of x as far as MK is concerned, and it is the value that will be returned to either notebook - MK does not keep a separate copy of x for each notebook. Opening a Notebook The usual Windows File/Open operation will open an existing Notebook. Saving your Work As with any computer-based activity, you should save your work frequently. Mathematica does not have an autosave feature, so if the system crashes you will lose all the work since the last time you forced a save. Be aware of the fact that under WTS Mathematica may not 2 close the file cleanly if you run out of disk quota. Also note that the way in which Mathematica stores graphical images is very expensive on disk space. It is sometimes a good idea to click Kernel/Delete All Output before saving: this will save all the commands in your notebook, but not the output, and will therefore need much less disk space. You can easily get back to where you were by reloading the file and clicking Kernel/Evaluate Notebook. IF THINGS GO WRONG Problems can be divided into two categories - your errors and Mathematica's problems. The most likely errors you are likely to make are simple typing errors. To correct such mistakes, simply select the appropriate input section, correct the input, and press SHIFT+RETURN again. Note that the automatic numbering which Mathematica applies to input and output means that once your previous attempt has been overwritten with the new one the sections in your notebook will no longer be in consecutive numerical order. The Mathematics Kernel itself is fairly robust, both in the code itself and in the reliability of its mathematics. It does, however, have to indulge in memory management to clear old expressions from its memory and to request more memory for new calculations. Very large calculations can get bogged down in this process, and end up by asking for more memory than the computer has. Collapse under these circumstances may be gentle (the system exits gracefully with a message saying that it has run out of memory) or disastrous. If you need to be reassured that Mathematica is still working, look at the bars on the right of the screen. If the bar next to one or more cells is darkened, then MK is still busy. You should be able to run through all the notebooks without encountering these problems, but it is better to be forewarned. You may also find the guidelines to debugging helpful (see the link on the web page). If you are unfortunate enough to have a file corrupted when trying to save it, let me know. I can sometimes recover some or all of your work – though it takes a bit of time. PRINTING You should not find it necessary to print out the whole of every notebook on which you work. On the other hand you may wish to preserve some graphs to supplement the records in your laboratory notebooks. LEAVING MATHEMATICA The usual Windows sequence of File/Exit will take you out. LABORATORY NOTEBOOKS FOR THE MATHEMATICA SESSIONS The content of a laboratory notebook for the Mathematica sessions will, of course be somewhat different from that for more conventional experimental sessions. Nevertheless, the same guiding principles apply. The record must contain enough detail to allow you to retrieve all the work done: a good way of thinking about this is to imagine that at some future point you might want to repeat exactly the same calculation, so that you must note all 3 the quantities that you type as input to the program, and any other factors that you think might influence the result you are recording (for example, if you are finding out how long a calculation takes you will need to know at the very least what processor, clock speed and memory are installed on the machine you are using). The record must be compiled in your laboratory notebook as work proceeds. As well as numerical input and results, your notebook should contain notes you write down in response to the problems posed in the Mathematica sessions. Should the Mathematica session misbehave in any way, you should record as much detail as possible about the problems encountered. If there are points about the operation of the program about which you have to ask a demonstrator, record the details - just as you would record any quirks of a piece of experimental apparatus. COURSE ASSESSMENT The final course mark will comprise 15% for each of the two tests, 5% for the image analysis exercise, 10% for the complex graphics exercise, 40% for the final programming exercise, and 15% for the laboratory notebook. The tests will be returned to you during the sessions, so that I can comment individually on your answers. Nevertheless it is essential that these marked exercises should be handed in together with your laboratory notebooks and solutions to the programming exercises by the appropriate deadline for your group. This will ensure that all your work can be second marked. A.H. Harker 23 September 2002
How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers... more... Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and,... more...
Building a Foundation in Mathematics (Hardcover) Building a Foundation in Mathematics (Hardcover) Building a Foundation in Mathematics Book Description Learn fundamental mathematical concepts using real-world, on-the-job scenarios that electricians face every day. Building a Foundation in Mathematics uses a building block approach by beginning with very basic concepts like whole numbers and fractions, and building upon this knowledge to get to more complex material like Boolean algebra. Each concept is covered deliberately and thoroughly before moving on to the next, guaranteeing a strong working knowledge of each area. This clear, straightforward approach, coupled with practical examples that engage readers and provide a context for learning, make this book an indispensable resource for anyone seeking the mathematical skills necessary for work in the electrical field. Popular Searches The book Building a Foundation in Mathematics by (author) is published or distributed by Delmar Thomson Learning [1418006327, 9781418006327]. This particular edition was published on or around 2005-02-28 date. Building a Foundation in Mathematics has Hardcover binding and this format has 602
Description PRIMUS is a refereed journal devoted to dialogue and exchange of ideas among those interested in teaching undergraduate mathematics. This includes those who prepare students for college level mathematics, those who teach college level mathematics, and those who receive students who have been taught college level mathematics. Each issue contains relevant and worthwhile material for those interested in collegiate mathematics education. While the primary interest is in first person descriptive and narrative articles about implemented teaching strategies and interesting mathematics, there is also opportunity for writing broad survey articles, formal studies of new teaching approaches, assessments of planned and in place strategies, and general discussion writing on teaching undergraduate mathematics. The journal motto, "The lightning spark of the thought generated in the solitary mind awakens in another mind . . ." by the Scottish essayist Thomas Carlyle means that publishing in PRIMUS is a way of sharing ideas so that others can use and build upon the author's efforts. We welcome your ideas and experiences. Publications in this journal [show abstract][hide abstract] ABSTRACT: We describe a case study that was created to intertwine the fields of biology and mathematics. This project is given in an elementary probability and statistics course for non-math majors. Some goals of this case study include: to expose students to biology in a math course, to apply probability to real-life situations, and to display how far a semester's worth of mathematics can reach. This was done by exploring the Florida panther population. We will discuss various aspects of the case study and results from administering this project
Most people, when they think of mathematics, think first of numbers and equations-this number (x) = that number (y). But professional mathematicians, in dealing with quantities that can be ordered according to their size, often are more interested in unequal magnitudes that areequal. This book provides an introduction to the fascinating world of inequalities, beginning with a systematic discussion of the relation "greater than" and the meaning of "absolute values" of numbers, and ending with descriptions of some unusual geometries. In the course of the book, the reader wil encounter some of the most famous inequalities in mathematics. --This text refers to an out of print or unavailable edition of this title. --This text refers to an out of print or unavailable edition of this title. Editorial Reviews About the Author Edwin Beckenbach-Received his PhD from the Rice Institute in 1931 and was Professor of Mathematics at the University of California, Los Angeles. -- Richard Bellman-Received his PhD in mathematics from Princeton University and was on the faculities of Princeton and Stanford until 1952. --This text refers to an out of print or unavailable edition of this title. Most Helpful Customer Reviews This text provides an introduction to the inequalities that form the basis of real analysis, the theoretical foundation for calculus. The authors' treatment requires careful reading since there are many details to check in the derivations of the inequalities and the examples in which those inequalities are applied. In places, I found myself writing annotations in the margins where I found the presentation somewhat incomplete. Checking the details in the authors' exposition and completing the exercises, for which there are answers and hints in the back of the book, is essential for understanding the material. The text begins with an axiomatic introduction to inequalities. The authors then prove some basic properties of inequalities. The subsequent chapter on absolute value discusses several ways in which absolute value can be interpreted. The most important chapter in the text is one in which some of the most important inequalities in real analysis are derived. In the final chapters of the text, these inequalities are applied to optimization problems and the definition of distance. The derivations are fascinating, if somewhat ingenious. The authors show the geometric basis of some of the inequalities, a topic the reader can explore further by reading Geometric Inequalities (New Mathematical Library) by Nicholas D. Kazarinoff. Also, the authors show how inequalities can be used to solve problems for which most readers will have been taught quite different methods of solution. The exercises range from basic computations to proofs for which some ingenuity is required. I wish there were more exercises in the latter chapters of the text to help put the inequalities derived there in context. The text is a rewarding look at a critical topic in higher mathematics. It is a very easy book to read. I read it over a six hour flight. It starts with the very basics and takes one through to the most important of inequalities in Mathematics. While inequalities themselves can seem quite uninteresting, this book makes them interesting by focussing on the methodology used to arrive at them and the interesting results that they yield. The book is written in an easy converstational style, and intends to impart the reader not only with the knowledge of some basic inequalities but the authors also succeed in sharing some of the charm and fascination that they hold for pure Mathematics. I recommend it highly. An Introduction to Inequalities is an unexpectedly delightful book. Relatively brief, only 129 pages, this publication of The Mathematical Association of America, requires no more than basic high school mathematics. Nonetheless, I am convinced that Edwin Beckenbach's and Richard Bellman's systematic study of inequalities would interest most students in an early calculus course. The first two short chapters establish an axiomatic framework for the algebra of inequalities that should be familiar to most readers. Even so, it best not to skip the nine problems at the end of chapter 2 as the results will play important roles in later chapters. Chapter 3, Absolute Value, offers an interesting look at what I had generally considered to be a prosaic topic. Beginning with a straight-forward definition, the authors derive some half-dozen expressions for the absolute value. This discussion leads to the triangle inequality (one-dimensional case). The next chapter, The Classical Inequalities, is a gem. (Many readers could probably go directly to chapter 4, but the first three chapters are quick reading in any case.) Some classical inequalities were familiar, like the arithmetic mean - geometric mean inequality and the Cauchy inequality (two-dimensional version). But others like the n-dimensional version of the Cauchy inequality (along with the Cauchy-Lagrange identity), the Holder inequality, and the Minkowski inequality were new to me. What I found most surprising was how these classical inequalities were so interrelated, and how some can be considered generalizations of others. Beckenbach and Bellman introduce clever substitutions to transform one inequality expression into another.Read more › This is a very good and well written introductory math book, presented at the high-school or the early college level. The highest prerequisite in terms of math background knowledge is a good familiarity with algebra. Many introductory math texts suffer from the lack of clarity or from relaying too much on the background that is not covered in the book, but this slim volume is fairly self-contained and covers all the material that is used in the problems. The problems are interesting and well formulated. The solutions at teh end of the book are informative, but could have been longer. They are more of a hints than full-fledged solutions, but for the most part this is more than sufficient. The book is useful for anyone who wants to learn about the most important inequalities for the first time or brush up on his/her knowledge. It is also a good exercise book for any math enthusiast.
Geometry to Go: A Mathematics Handbook Book Description: Geometry to go is the Latest in the series of mathematics handbooks and is a must-have resource for any student of geometry. From coordinate geometry to non-Euclidean geometry, from congruence to constructions, Geometry to Go is packed with numerous examples, detailed explanations, east-to-follow charts and graphs, and easy-to-understand proofs and theorems to help students learn, reinforce, and review key concepts
... New unread book that may have slight shelf wear.Covers number patterns, word problems, equations, tables and graphs, linear relationships, variables, contextualized problems, ...properties, order of operations, and exponents. Activities become more challenging as students build upon what they have previously learned. Two reproducible activities per page. Perfect for review and practice. Supports NCTM standards Read moreShow Less 2008-01-01 Paperback New New unread book that may have slight shelf wear. Covers number patterns, word problems, equations, tables and graphs, linear relationships, variables, ...contextualized problems, properties, order of operations, and exponents. Activities become more challenging as students build upon what they have previously learned. Two reproducible activities per page. Perfect for review and practice. Supports NCTM standards.Read moreShow Less More About This Book practice and supports NCTM and Common Core State
Street-Fighting Mathematics course, presented by MIT and taught by professor Sanjoy Mahajan, teaches guessing results and solving problems without having to do a proof or an exact calculation. The material is useful for students who have a basic knowledge of algebra, trigonometry, and single variable calculus. Assignments and solutions are included. MIT presents OpenCourseWare as free educational material online. No registration or enrollment is required to use the materials.Wed, 12 Jan 2011 03:00:03 -0600Interest Rates, FICO Scores and Loan Payments lesson helps students understand financial topics (interest rates, FICO scores and loan payments) in a mathematical context. Students will calculate monthly payments for a car or home based on the best interest rates available to them. Student materials, including a worksheet, are available on the site.Tue, 4 Jan 2011 03:00:02 -0600Graphs in the Media lesson allows students to analyze how data is graphically represented. The exercise asks the class to gather data from the National Center for Health Statistics website, then create graphical representations of that data. Students will learn to determine an appropriate type of graphical representation for a given data set based on its characteristics. Supplementary student materials are available for download here (sixth row, second column of table).Tue, 21 Dec 2010 03:00:02 -0600The Birthday Suprise lesson is often used in introductory courses on probability and statistics. The material uses real data to introduce probabilistic simulation. Students will take random samples of data to demonstrate the importance of obtaining a good sample from a population. A blog has also been created by the originator of this exercise for students to share their results.Mon, 20 Dec 2010 03:00:03Graphing U.S. Presidential Elections in need of experience constructing and interpreting statistical graphs will find this exercise useful. The lesson uses data from past presidential elections; students will construct a variety of graphs (bar graphs, pie charts, stem & leaf plots and box & whiskers plots) based on the data. The interdisciplinary lesson may be used in conjunction with American history or political science coursework. The document also includes a student worksheet and activity assessments.Wed, 15 Dec 2010 03:00:03 -0600Percent Change and our National Debt data from the U.S. Department of Treasury's Bureau of the Public Debt website, students will find the annual percent change in the national debt over the last five years. They will interpret the data and decide whether the debt has increased or decreased over the five year period. This learning object is intended for individual use outside of class as homework.Wed, 15 Dec 2010 03:00:01 -0600How Safe Is My Town? lesson uses real data to compile and analyze statistics. Students will analyze crime that has occurred in the local area, compute rates of the activity and construct bar graphs to represent the data. The lesson should require approximately 30 minutes of class time and 60 minutes outside of class. The lesson includes student worksheets.Tue, 14 Dec 2010 03:00:02 -0600To Invest or Not to Invest lesson plan introduces students to stock prices and allows them to use stock data to construct line graphs. They will calculate percent increase or decrease for a few different stocks, calculating mean, median, and mode for their different prices. This information will be used to make predictions about one or two of the stocks. This lesson may easily be used in conjunction with economics coursework. Student materials may be found here (fifth row, second column of table).Tue, 14 Dec 2010 03:00:02 -0600Principles of Applied Mathematics course, presented by MIT and taught by professor Aslan Kasimov, describes basic principles of applied mathematics. Specifically, the material looks at mathematical analysis of continuum models of various natural phenomena. The course materials include student assignments and exams. MIT presents OpenCourseWare as free educational material online. No registration or enrollment is required to use the materials.Thu, 9 Dec 2010 03:00:03 -0600Undergraduate Seminar in Discrete Mathematics course, presented by MIT and taught by Daniel Kleitman, provided instruction on combinatorics, graph theory and discrete mathematics. The main content provided online is a sample final paper project assignment. Examples of several student projects for that assignment are included. MIT presents OpenCourseWare as free educational material online. No registration or enrollment is required to use the materials.Thu, 9 Dec 2010 03:00:03 Minute Math good folks at the Mathematical Association of America (MAA) keep on turning out engaging and interactive mathematics resources, and this latest release follows in that admirable path. The MinuteMath feature brings together a host of problems from the MAA's American Mathematics Competitions, and these playful problems can be used in a variety of settings, including the classroom or a good-spirited mathematics get-together outside the classroom walls. The site was launched in September 2008, and so far the offerings here are quite nice and they include questions that deal with sums, geometry, and positive integers. Each question is also rounded out with an interactive version of both the problem and the solution.Mon, 8 Jun 2009 03:00:01 -0500
Augment Mathematica: Creating Applications and Extensions Adam BerryChannels: Wolfram Virtual Events Learn how to design interactive digital material for the classroom. This Wolfram Technology for STEM Education: Virtual Conference for Education talk highlights the Wolfram Demonstrations Project and how teachers can create their own Demonstrations. This course from the Wolfram Mathematica Virtual Conference 2011 chronicles two internal Wolfram Research projects: large database access, dynamic visualization, and deploying a web interface with CDF technology. This Wolfram Mathematica Virtual Conference 2011 course explores the depth of Mathematica's image processing capabilities, how they integrate with other features, and how they can be combined to create powerful interactive tools. See the Wolfram Language being run on a Raspberry Pi. This Wolfram Technology for STEM Education: Virtual Conference for Education talk goes through several interesting examples using the Wolfram Language to control devices on a Raspberry Pi. This course explores Mathematica's built-in tools for creating visualizations from functions or data. You'll learn how to customize plots with styles, labels, and other features that are common across the visualization functions. Report Generation allows you to create documents quickly and easily using Wolfram Finance Platform documents. Get an overview of the features in this talk from the Wolfram Finance Platform Virtual Seminar. Report Generation allows you to create documents quickly and easily using Wolfram Finance Platform documents. Get an overview of the features in this talk from the Wolfram Finance Platform Virtual Seminar. This Wolfram Mathematica Virtual Conference 2011 course provides an introduction to the new GPU functionality in Mathematica 8 and shows examples of how to deploy your solution and scale across GPUs and machines. Mathematica's powerful tools for building graphics are tightly integrated into its high-level programming language. This introductory course from the Wolfram Mathematica Virtual Conference 2012 covers topics related to using Mathematica for creating 2D and 3D computer graphics.Explore the new suite of control system tools in Mathematica 8 that can be used to do analysis, design, and simulation of continuous- and discrete-time systems in this Wolfram Mathematica Virtual Conference 2011 courseWolfram technologies are the tools for providing interactive and engaging materials for STEM education. In this video, Conrad Wolfram shares examples and explains why Wolfram is uniquely positioned to be a leader in STEM education. Learn how to harness the power of Wolfram\|Alpha in the classroom. This Wolfram Technology for STEM Education: Virtual Conference for Education talk gives an introduction to Wolfram\|Alpha mobile apps and how to use them effectively for a variety of subjects.
This book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. It is the first volume of the comprehensive two volumes monograph. more... This photocopy master book, which has proven extremely popular over the years, provides a range of 30+ problem solving activities using strategies such as: Developing logical thinking; Using number concepts to develop logical thinking; Logical reasoning; Developing visual imagery; and Pattern perception using number. more... Photocopy Master book. Includes problem solving strategies such as Guess and Check, Act It Out, Make A Model, Look for a Pattern, Construct a Table and so on. These strategies are applied to a range of interesting problem situations. Children will enjoy the variety of characters that provide an amusing element to the serious business of solving mathematical... more... Photocopy Master book. Students are required to utilise a range of problem solving strategies in their approach to reaching solutions for these interesting problems. Cool cartoon characters add a highly motivating element to the process of working through the problems. more... New look versions of Pythagoras, Galileo and Archimedes are some of the characters presented in cartoon form in this photocopy master book, lending a stimulating element to problem solving. A variety of brain teasers is also included for copying onto cards to make class sets. more... Sequential blackline master activities in the area of geometry and spatial mathematics. Covers the major learning areas such as identifying different types of angles, using a protractor to measure angles, using known rules to calculate the size of angles and construction of angles using either a compass or a protractor. more... Learn how to easily do quick mental math calculations Speed Math for Kids is your guide to becoming a math genius--even if you have struggled with math in the past. Believe it or not, you have the ability to perform lightning quick calculations that will astonish your friends, family, and teachers. You'll be able to master your multiplication tables... more... Bob Miller's fail-safe methodology helps students grasp basic math and pre-algebra All of the courses in the junior high, high school, and college mathematics curriculum require a thorough grounding in the fundamentals, principles, and techniques of basic math and pre-algebra, yet many students have difficulty grasping the necessary concepts.... more... Everything you need to know to ace the math sections of the NEW SAT! He's back! And this time Bob Miller is helping you tackle the math sections of the new and scarier SAT! Backed by his bestselling "Clueless" approach and appeal, Bob Miller's second edition of SAT Math for the Clueless once again features his renowned tips, techniques, and... more... Boiled-down essentials of the top-selling Schaum's Outline series for the student with limited time What... more...
Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate... more... A fun, easy-to-implement collection of activities that give elementary and middle-school students a real understanding of key math concepts Math is a difficult and abstract subject for many students, yet teachers need to make sure their students comprehend basic math concepts. This engaging activity book is a resource teachers can use to give students... more...
Home Khan Academy Exercises Wiki Note Khan-exercises is no longer used for development of new exercises at Khan Academy. We're always looking to improve the exercises that are currently built with khan-exercises, but at this time we don't intend to add new exercises to it. Instead, new exercises are stored in a data-store and built with Perseus. How to help With your help, we can make our set of math exercises even better! If you're passionate about helping, here's some things for you to work on: Fix bugs We don't currently have an updated list of bugs in our exercises, but if you find any, feel free to fix them and submit pull requests! Our coding standards guide. Look here to find our coding style guide, as well as some good practices to make sure that exercise code is top notch. Where is everybody? Come hang out with us in our public chat room! We're in there most of the time and always read the backlogs. We like to learn from one another, brainstorm together, and also coordinate to avoid duplicate work.
Product description This Survey of Science History & Concepts contains materials for use with Exploring The World of Mathematics, Exploring The World of Physics, Exploring The World of Biology, and Exploring The World of Chemistry. Lesson Planner Weekly Lesson Schedule Student Worksheets Quizzes & Test Answer Key 10th-12th grade 1 Year Science 1 Credit Features: Each suggested weekly schedule has three easy-to-manage lessons which combine reading, worksheets, and vocabulary-building. Designed to allow your student to be independent, materials in this resource are divided by section so you can remove quizzes, tests, and answer keys before beginning the coursework. As always, you are encouraged to adjust the schedule and materials as you need to in order to best work within your educational program. Workflow: Students will read the pages in their book and then answer the questions at the end of each chapter. Tests are given at regular intervals. Space is given for assignment dates. There is flexibility in scheduling. For example, the parent may opt for a M, W, F schedule rather than a M-W schedule. As the student completes each assignment, he/she should put an "X" in the box. Test grades should also be recorded in the lesson plan where indicated. Lesson Scheduling: 3-4 Days per week Semester 1: Math and Physics Numbers surround us. Just try to make it through a day without using any. It's impossible: telephone numbers, calendars, volume settings, shoe sizes, speed limits, weights, street numbers, microwave timers, TV channels, and the list goes on and on. The many advancements and branches of mathematics were developed through the centuries as people encountered problems and relied upon math to solve them. It's amazing how ten simple digits can be used in an endless number of ways to benefit man. The development of these ten digits and their many uses is the fascinating story in Exploring the World of Mathematics. Physics is a branch of science that many people consider to be too complicated to understand. John Hudson Tiner puts this myth to rest as he explains the fascinating world of physics in a way that students can comprehend. Did you know that a feather and a lump of lead will fall at the same rate in a vacuum? Learn about the history of physics from Aristotle to Galileo to Isaac Newton to the latest advances. Discover how the laws of motion and gravity affect everything from the normal activities of everyday life to launching rockets into Type: Paperback (Teacher's Guide)Category: > Home SchoolingISBN / UPC: 9780890517413/089051741XPublish Date: 8/1/2013Item No: 333425Vendor: Master Books
...Although it may seem enigmatic, once the student learns how to navigate the interface and work with simple spreadsheets, it soon becomes clear how powerful excel can be. Geometry introduces the student to many different shapes and mathematical models to help solve problems. Like, how much carpet must be used in a room with given dimensionsAny weakness that a student has in Algebra will be exposed here and must be addressed to succeed in this course. Success with this course will make Calculus a lot easier. Trigonometry combines Algebra and Geometry in an entirely new way.
REQUIRED TEXTBOOK: Calculus- the Classic Edition by Swokowski. Brooks/Cole COURSE OBJECTIVES/STUDENT LEARNING OUTCOMES: Successful students will be expected to understand the basics of finding limits and be able to determine when functions are Text: Swokowski-Cole, Precalculus: Functions and Graphs, 11th ed, Cengage Publishing Course Webpage: ... Course Description and Objectives: This course is designed to prepare a student for calculus. It is the calculus sequence MATH 231–233. Topics include the basic ... Swokowski and Cole, 11th edition, Brooks/Cole Publishing. A scientific or graphing calculator is required. You may use your calculator on the tests and the final exam. Symbolic CALCULUS - 1327 Honors 5 Credits Purpose Calculus is a subject in which much can be learned by doing problems. In the subject course of ... B. Text: Swokowski, Calculus, Prindle, Webber and Schmidt Publishing Company C. Other 1. Notebook and graphing calculator IV. Evaluation calculus course. A large portion of the exam is devoted to testing a student's understanding of functions and their properties. ... Swokowski and Cole, Precalculus: Functions and Graphs (Brooks/Cole) Zill and Dewar, Precalculus with Calculus Previews Page 1 Characteristics of Successful Programs in College Calculus - Instructor Start Your college or university has been selected to be part of a national survey of calculus instruction across the United complex analysis, namely the calculus of residues and Fourier analysis. Here Kalman's exposition becomes more informal, and the reader is invited to just go along for the ride ... E. Swokowski, Calculus With Analytic Geometry, Fourth Edition, ...
Extended Studies in Mathematics 1 10 Units This course deepens students understanding of the principles and practices of teaching and learning Mathematics in secondary schools. Students will explore ways of differentiating curriculum to meet the diverse needs of learners in the Mathematics classroom. Specific attention will be given to the literacy and numeracy demands of Mathematics as an area of study; and the incorporation of technology into the teaching and learning of Mathematics. Upon completion of this course, students will have the capacity to: 1. differentiate the curriculum to meet the diverse needs of learners in the Mathematics classroom; 2. support the literacy and numeracy demands of Mathematics as an area of study; and 3. incorporate new technologies into the teaching and learning of Mathematics. Content Differentiating the curriculum to meet the diverse needs of learners in the Mathematics classroom. The literacy and numeracy demands of Mathematics as an area of study. The incorporation of new technologies into the teaching and learning of Mathematics.
Introduction to Topology Book Description: This text is intended for a one-semester undergraduate course in topology. The fundamental concepts of general topology are covered rigorously but at a gentle pace and an elementary level. It is accessible to students with only an elementary calculus background. In particular, abstract algebra is not a prerequisite. The first chapter develops the elementary concepts of sets and functions, and in Chapter 2 the general topological space is introduced. Subspaces, continuity, and homeomorphisms are covered in Chapter 3. The remaining chapters cover product spaces, connected spaces, separation properties, and metric spaces
books.google.com - The elements of algebra were known to the ancient Mesopotamians at least 4000 years ago. Today algebra stands as one of the cornerstones of modern mathematics. How then did the subject evolve? How did its constituent ideas and concepts arise, and how have they changed over the years? These are the questions... Beginnings and Evolution of Algebra
books.google.com - Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with... classical introduction to modern number theory A classical introduction to modern number theory Bridging the gap between elementary number theory and the systematic study of advanced topics, A ClassicalIntroduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves. From inside the book Review: A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) (v. 84) User Review - Joecolelife - Goodreads The book is great. The problems are fun and interesting, and the book gradually generalizes which makes the abstraction easier to conceptualize. If you need something with tons of really baisc ...Read full review Review: A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) (v. 84) User Review - Goodreads I just read the chapter about the elliptic curve y^2 = x^3 + Dx, it was pretty good.
The Matrix Algebra Tutor: Learning by Example DVD Series teaches students about matrices and explains why they're useful in mathematics. This episode teaches students how to solve systems of equations using matrix inverses. Grades 9-College. 32 minutes on DVD.
GMAT math tutorial Quantitative section of GMAT consists of very basic math like algebra, geometry, arithmetic, probability etc which you would have studied in your high school. The concepts are not difficult and scores in this section help students to get good percentile. Still test takers are scared of this section as they are out of touch with this section. Test pattern of this section is also very complicated. You have to complete 37 questions in 75 minutes. You have 2 minutes for each question. Difficulty level of the questions also keep changing along with your answers. Like other sections, here also you can not skip a question neither can you go back to double check your answer. Along with the guidance in preparation for the exam, you also need strategies for taking the exam. That is where GMAT math tutorial is required. GMAT math tutorials help you in preparation for the quantitative section as well as give you various tips to take the exam. GMAT math tutorials take you through the basic mathematics required for the quantitative section of the GMAT and also teach you the advanced topics of math. GMAT math tutorials cover common question types, word problems, data sufficiency, exponential's, ratios and percentages etc. and the techniques and tricks you can use to answer these questions accurately and efficiently. You are not allowed to use a calculator in the GMAT so knowledge of fractions is absolutely essential if you are to succeed in the quantitative section of the GMAT. GMAT math tutorials explain the basic formulas with the help of graphics. Apart from your studies for math section, you should also concentrate on the strategies to solve the questions in less time. GMAT math tutorials help you in time management and increasing your speed. These tutorials give a lot of practice questions which make you accustomed to the formulas and techniques. If you find GMAT math questions difficult and complex, the problem is most likely with your approach, and not your ability to solve the problems. GMAT math tutorials teach you how to translate complicated problems into simple math equations, more efficiently and in less time. The GMAT quantitative section is not a test of your knowledge in mathematics. Rather, it tests your ability to solve the problems. Therefore, calculus or other advanced math topic is not included in GMAT math section. The high school math knowledge is sufficient to answer a typical GMAT math question. Practice is the key to master GMAT math. If you want to score high marks in math, you should try to take a lot of practice questions and sample tests. There is no alternative to practice. GMAT math tutorials take care of this thing and make you practice a lot. Some GMAT math tutorials also give you your personalized report cards with specific advice to you to improve your scores. Practice makes you efficient in all the techniques that you would have learnt in GMAT math tutorials and you can apply these tips and tactics
A completely new text in the Essential Mathematics Series for students needing additional support. This is a mainstream text covering all of the concepts, skills and applications of the CSF II at Year 9. The innovative coordinated system of worked examples and exercises ensures success and generates confidence. A focus on maintaining key skills and understanding fundamental mathematical terms are features of this book. A pivotal alternative mainstream text that allows students to progress to VCE Mathematics courses via Essential Mathematics 10: The CSF 11 Course or Essential Mathematics Gold 10: The CSF 11 Course. [via] Although the authors believe that the level of both conventional and nuclear forces in Europe should and will be reduced, they do not consider that the military instrument will have lost all of its value in European political affairs. They still see a need to be prepared for tension and conflict between the two alliances in Europe, and between the United States and the Soviet Union. They make specific, selective recommendations for targets of force reductions, with particular emphasis on the support systems necessary for sustained occupation of seized territory. They also stress the need for asymmetrical reductions, in the sense that the two superpowers should withdraw and demobilize more forces than their European allies to ensure that the reductions will be irreversible. [via] More editions of Enhancing European Security: Living in a Less Nuclear World: Essential Mathematics Gold for VELS 10 has been written specifically for the Victorian Essential Learning Standards Mathematics course, that is, all the dimensions within the mathematics discipline have been addressed. Furthermore, the authors have actively sought to highlight links both within and outside of mathematics as prescribed in VELS. Thus, Essential Mathematics for VELS is a complete course of study which reflects the needs of teachers of mathematics in Victoria and builds on longstanding successful classroom teaching practices. The material has been extensively trialled in schools. This, together with the exciting full-colour and creative design, makes this series a new step in the creation of maths resources for Victorian schools. [via] Conceptual models are descriptions of our ideas about a problem, used to shape the implementation of a solution to it. Everyone who builds complex information systems uses such models - be they requirements analysts, knowledge modellers or software designers - but understanding of the pragmatics of model design tends to be informal and parochial. Lightweight uses of logic can add precision without destroying the intuitions we use to interpret our descriptions. Computing with logic allows us to make use of this precision in providing automated support tools. Modern information scientists need to know what these methods are for and may need to build their own. This book gives you a place to begin. Where do you start when building models in a precise language like logic? One way is by following standard paradigms for design and adapting these to your needs. Some of these come from an analysis of existing informal notations. Others are from within logic itself. We take you through a sample of these, from more commonplace styles of formal modelling to non-standard methods such as techniques editing and argumentation. Each of these provides a window onto broader areas of applied logic and gives you a basis for adapting the method to your own needs. [via]
function where C< graph where C><0 and C>0 and C is an arbitrarily fixed value in f(x)=Ce^(kx College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity... see more College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity involving Florida's population growth. The results show that students often do not have a clear grasp of the differences between linear growth and exponential growth. College Algebra or Liberal Arts math students are presented with three Questions of the Day and a write-pair-share activity... see more College Algebra or Liberal Arts math students are presented with three Questions of the Day and a write-pair-share activity involving Florida's population growth (other states may be used in place of Florida). The results are quite revealing and show that while students may have learned how to perform the necessary calculations, their conceptual understanding concerning exponential growth may remain faulty. Student knowledge (or lack thereof) of the size of their state's population and its annual growth rate may also be surprising easier puzzles is provided. This site is a sub-page of the larger site, Fibonacci Numbers and the Golden Section. This is a set of materials developed at the National University of Singapore concerning the connections between mathematics... see more This is a set of materials developed at the National University of Singapore concerning the connections between mathematics and art and architecture. The author emphasizes that mathematics is not just about formulas and logic, but about patterns, symmetry, structure, shape and beauty. There are powerpoint tutorials, text and graphics descriptions, and a wealth of links to other valuable resources
More About This Textbook Overview Following his years of studying human intellectual accomplishments such as language, reading, writing, thinking, and learning, Frank Smith now turns his critical lens on the teaching and learning of mathematics. In The Glass Wall, Smith helps us to understand why some people find the world of mathematics so compelling while others find it so difficult. This original volume examines two different worlds: the physical world (our familiar world of objects and events) and the world of mathematics (a completely different domain of experience), and the glass wall that can exist between them. Smith argues that, because the language used to talk about these two worlds is not the same, many people find themselves behind the glass wall, on the outside looking
Description: Written by Professor Alan H. Schoenfeld of the University of California Berkeley Graduate School of Education, the goals of this 102-page document are "(a) to outline and substantiate a broad conceptualization of what it means to think mathematically, (b) to summarize the literature relevant to understanding mathematical thinking and problem solving, and (c) to point to new directions in research, development and assessment consonant with an emerging understanding of mathematical thinking and the goals for instruction outlined here." This is a chapter from the 1992 Handbook for Research on Mathematics Teaching and Learning, edited by Douglas Grouws.
CliffsNotes Algebra I Practice Pack Book Description: About the Contents:Pretest Helps you pinpoint where you need the most help and directs you to the corresponding sections of the book Topic Area ReviewsMath BasicsNumbers (Signed Numbers and Fractions)Linear Equations and Algebraic FractionsPolynomials and FactoringInequalities, Absolute Value Inequalities, and RadicalsIntroducing Quadratic Equations—Testing SolutionsGraphing and Systems of EquationsFunctionsStory ProblemsCustomized Full-Length Exam Covers all subject areas Pretest that pinpoints what you need to study mostClear, concise reviews of every topicTargeted example problems in every chapter with solutions and explanationsCustomized full-length exam that adapts to your skill level
Summary: Provides completely worked-out solutions to all odd-numbered exercises within the text, giving you a way to check your answers and ensure that you took the correct steps to arrive at an answer. Previously read with moderate shelf wear. No underlining or margin notes present. We are the Twin Cities' largest independent book store. d $29.87 +$3.99 s/h VeryGood books4santa west hills, CA"text area clean minor creases Satisfaction Guarantee Next-Day shipping, Refund guaranteed if not satisfied or not as described,contact ASAP we will solve problem in 24 hour 100% guarantee. Book onl...show morey doesn?t include any accessories? CD-ROM, DVD,INFOTRAC." ...show less $79.87 +$3.99 s/h VeryGood books4santa west hills, CA "please read clean minor creases Satisfaction Guarantee Next-Day shipping, Refund guaranteed if not satisfied or not as described,contact ASAP we will solve problem in 24 hour 100% guarantee. Book ...show moreonly doesn?t include any accessories? CD-ROM, DVD,INFOTRAC." ...show less $89.87 +$3.99 s/h VeryGood books4santa west hills, CA
Kamis, 08 Agustus 2013 Introduction to Real Analysis 4th Edition, Bartle and Sherbert Introduction to Real Analysis 4th Edition, by Robert G. Bartle and Donald R. Sherbert provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. This text maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content student attention to possible applications wherever possible. Several new examples have been added to this edition to make the text more up-to-date and relevant. New exercises have been added throughout to give students more material to practice and solidify their understanding of the material. Coverage of the Darboux integral has been added in Section 7.4. Analysis is a branch of mathematics that justifies and proves all the techniques and results of differential & integral calculus. It deals with concepts such as smoothness, convergence, divergence, and so on. Their treatment of limits, of continuity, of convergence, of differentiation and integration is exact and complete. They give readers a full grounding in epsilon/delta proof methodology for the major theorems of modern single variable calculus. Because they deal in a single variable, they don't spend much time on basic topology. The book consists of eight chapters. A brief introduction to set theory is followed by a presentation of the real number system. Note that they don't construct the field of real numbers, they merely state the completeness theorem that fills in the gaps found in the field of rational numbers (e.g. the square root of two is a real number not found in the rational). The meat of the book begins with chapter three on sequences followed by chapters on limits & continuity, differentiation, Riemann integration, sequences of functions, and finally infinite series. The many exercises will give readers much opportunity to hone their skills.
A number of ideas in IIT-JEE are beyond books and can be taught only by an experienced teacher. A list of references follows as compiled by the IITian's Prashikshan Kendra academic think-tank. Mathematics List of References TIPS FOR PREPARING IIT - JEE 1. First and most important is to have confidence in yourself. ... involved with only engineering books keeping NCERT books aside. With the new IITJEE pattern, a lot of questions are directly made from there which you might have already FIITJEE Sis t IIT-JEE-22 CODE PAPER 1 Time: 3 Hours Maximum Marks: 210 INSTRUCTIONS A. General: 1. This booklet is your Question paper. Do not break the seats of his booklet before being instructed to do so by the invigilators. 2. The question ... IIT-JEE 2011 PAPER - 2 i E → 5. A light ray travelling in glass medium is incident on glass-air interface at an angle of incidence θ. The reflected (R) and transmitted (T) intensities, both as function of FOR IIT-JEE: For the preparation of IIT-JEE, you have to clear & enhance your CONCEPTS. ... no use of doing a lot of books only for one subject without getting any point. I saw a lot of students having their own library at their home. Engineering and Medical entrance exams like IITJEE, AIEEE, State Engineering Exams, CEE, AIPMT, AIIMS and more. ... Solutions of NCERT books • Lectures are delivered in Hindi + English in a very easy to understand language . required for IIT-JEE). I was unable to answer this question because even though there are many good, authentic books written by well-known authors they do not meet all the requirements. If they come close in one aspect, they are lacking appearing in competitive examinations like Physics Olympiads, IITJEE, and so on. So the net result is that you have an altogether new book, my style. ... I encourage all my readers to study his books, "Science and Nescience" and "Wake up! Intellectuals." Pinnacle Two Year Program (for IIT-JEE) ... additional books etc. Work Books for Home Assignment. Common Phase Tests across the country. Chapter practice problems (CPP): On each chapter students will be given chapter practice problems which they have to attempt and Are you confused about finding the best coaching for IIT-JEE / AIEEE for your child? - pages - Mission IIT You have probably visited a few institutes that are in your locality or those that your friends IITJEE PHYSICS Physics has always been the most interesting subject in IITJEE and other engineering entrance exams preparation. A poll conducted in 5 IITs amongst IIT students who cleared IITJEE clearly IitJee Preparation BooksBooks For IitJee Aieee Xi Xii. preparation books for iitjee and aieee must be chosen carefully cbse class xi and xii ncert books are good for concepts many good iitbooks are in market continue reading [6] Student Selections for IIT-JEE 2013 - Other Coaching Sites Last Update: Monday, August 29th, 2011 The Grand Dakshana Selection Test 2011 (GDST 2011) is being used as a basis for the following selections. rank in India in the Joint Entrance Exam of IIT-JEE as well as in the All India Engineering Entrance Exam (AIEEE) in 2009. ... some books to plaintiff No.1 which he received from his head office and sought permission to come at his home to give those books. NCERT books are good for the concept. So first should be to study the NCERT books and familiarize all the concepts. ... There will always few question in JEE paper which will be very tough. If you put your head in those questions, you will waste your time and you will not anything. The fact that every publisher / institute refers to our Study Material & JEE Solutions while creating their books / ... the IIT-JEE papers", removal of stumbling blocks and tips on producing peak performance on the examination day are integral parts of this Comparison of DISHA CLASSES and Other IIT-JEE Institutes S.No. Facility AT DISHA CLASSES At other Institutes in Kohat Enclave or Panjabi Bagh 1. ... Updated, Including variety of Text Books on different topics and Subjects of Indian and Foreign Authors on IIT-JEE and other Engg. IIT-JEE is considered to be the toughest entrance examination in India ... fifteen books in addition to that fifteen basic assignment per subject and 15 advance assignment per subject are also given as the study material. CYCLE - 1 Results for Dakshana Scholars in IIT-JEE 2012 ... We did, however, provide intensive coaching and books to them for their first attempt from 2009-2011. Dakshana Scholars of 2012 who qualified for AIEEE NAME From AIEEE State Category IIT-JEEIIT-JEEIIT-JEE 12 in Top 1500 9 in Top 1000 11 in Top 800 Scored a JEE Mains city rank 2 (2013) 12th std CBSE board topper for Maharashtra (2013) ... few course books which the student would need to arrange on its own. Rs 10,000/- ... This workshop will boost your motivation & help you choose the right study material, books & provide assistance for IIT-JEE preparation. If you take this workshop seriously you will learn what you need to do to succeed & get a good Rank in IIT-JEE. Every institute for IIT-JEE training worth its name tries to get a FIITJEE faculty. We ... The fact that every publisher / institute refers to our Study Material & JEE Solutions while creating their books / solutions / study material is a testimony to our quality. ed ucation for IIT-JEE preparation. 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Essential Arithmetic 9780534944827 ISBN: 0534944825 Edition: 7 Pub Date: 1994 Publisher: Thomson Learning Summary: This new ADVANTAGE SERIES of C. L. Johnston, Alden T. Willis, and Jeanne Lazaris' ESSENTIAL ARITHMETIC is a traditional, straight-forward, extremely popular book which is noted for its one-step, one-concept-at-a-time approach. All major topics are divided into small sections, each with its own examples and often with its own exercises--an approach that helps students master each section before proceeding to the next ...one. As part of the ADVANTAGE SERIES, this version will offer all the quality content you've come to expect from Johnston, Willis, and Hughes sold to your students at a significantly lower price. Johnston, Carol L. is the author of Essential Arithmetic, published 1994 under ISBN 9780534944827 and 0534944825. Five hundred seventy two Essential Arithmetic textbooks are available for sale on ValoreBooks.com, one hundred ten used from the cheapest price of $38.46, or buy new starting at $71 Book has cover wear. Inside pages may have highlighting, writing and/or underlining. Used books may have stickers on them. Book has water damage throughout. Ships same day or [more] [
mo... read more Customers who bought this book also bought: Our Editors also recommend:Taxicab Geometry: An Adventure in Non-Euclidean Geometry by Eugene F. Krause Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems. Invitation to Geometry by Z. A. Melzak Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. 1983 edition. Analytical Conics by Barry Spain This concise text introduces analytical geometry, covering basic ideas and methods. An invaluable preparation for more advanced treatments, it features solutions to many of its problems. 1957 edition. A Concept of Limits by Donald W. Hight An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition. Fundamental Concepts of Geometry by Bruce E. Meserve Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations. A Vector Space Approach to Geometry by Melvin Hausner This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition. Problems and Solutions in Euclidean Geometry by M. N. Aref, William Wernick Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. More than 200 problems include hints and solutions. 1968 edition Fourth Dimension Simply Explained by Henry P. Manning Twenty-two essays examine the fourth dimension: how it may be studied, its relationship to non-Euclidean geometry, analogues to three-dimensional space, its absurdities and curiosities, and its simpler properties. 1910 edition. Euclidean Geometry and Transformations by Clayton W. Dodge This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 editionMathematics for the Nonmathematician by Morris Kline Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems. Pythagorean Triangles by Waclaw Sierpinski This classic text, written by a distinguished mathematician and teacher, focuses on a fundamental theory of geometry. Topics include all types of Pythagorean triangles. Product Description: modern geometry. Notes. References. 132 line
I just recall the Wolfram article and I seem to think it was pretty handwavey as to what/how things get offloaded (to Mathematica specifically of course). But I will say that at least half the homework of my Calc 1-3 courses was spent well past the "understanding" stage and more into "getting fast enough to do it on an artificial, time limited test situation" and basically memorizing pages of identities that I quickly forgot because they so rarely came up in my physics courses. This was pretty much the case with almost every math class since about algebra 1 in middle school. And in particular I would like to hold up Electricity and Magnetism 2. Calculating the momentum of a magnetic field, in all but the most trivial case, takes a full sheet of paper: being rows and rows of 8 inch long equations as you carry out the tedious work of canceling terms; moving things in and out of square roots; and multiplying large polynomials together. It's all basic algebra stuff you learn in high school but it's a slog to work through and so time consuming that you actually lose track of the big picture and end up with very little better understanding at the end. As far as I know that's why things like tensor and bra-ket notation had to be invented in the first place. Without a compressed notation the ability to get a correct answer to any interesting problem became less a question of knowledge and more a question of probability of transcription/sign flip errors. Unless you were truly exceptional, the "understanding" phase tends to get skipped in the first three calculus courses in favor of computation. Before you disagree read the following bullet points: - What is the tangent line? How does it connect with the derivative? - What is a limit. How is it used to make the above rigorous? - What is the Fundamental Theorem of Calculus? Why, non-rigorously, would you expect it to be true? That is not a random list. That's a list of the most important concepts taught in the first Calculus course or two. If you couldn't give a quick impromptu explanation of ALL of them, then you failed to master the key concepts. (Don't worry, most can't.) To get to Terry Tao's formal math stage, you'd need to take proof-heavy courses such as real analysis. I can, even 10 years later, not because I'm gifted but because I had good calc teachers who consistently covered and circled back on those points. I know what you mean though. But what I mean is that 25th time you're doing an integral to ram home some trigonometric identity or working out a fourier series for PDEs it's not because anybody hopes that this is the time you get the epiphany it's because the teachers need something for the grade books and you need to be able to do it during a midterm. Assuming Wolfram wasn't engaged in just an attempt to sell more mathematica licenses I would assume that was kind of his point. If you dump the most of the endless repetition on to maxima/maple/mathematica you could actually spend the semester on the concepts and proving them instead of focusing so heavily on the student's facility at algebraic manipulation. Now having had to do everything by hand I have the sort of knee jerk reaction that "well I had to do it so they should do it too" but then I also remember that it sucked giant balls. As I see it is students definitely need pretty solid facility at doing this sort of shit and so we get the classic: "where do we draw the line" problem, which means I should probably not be counted as a proponent of Wolfram, so much as maybe a sympathizer (in this regard; fuck NKS). *also while I take didn't real, I did get a minor in math which included Basic Concepts of Mathematics, or as I tend to remember it "that semester of not being able to divide because it's not defined over the integer set" but it was certainly a purely proof oriented course, and my numerical methods 1&2 were at least 50% proof based, I've done the formal rigor thing. To this day I remember how outraged I was that on my final for Calculus 101 I derived from scratch an answer to an integration problem, then did the derivative and proved it was right on the final exam. Then the grader, upon seeing an answer different from the expected one marked it wrong. I understand the grader was in a hurry, and the trig identity demonstrating that my answer was, in fact, equivalent to the standard one is not easy. But I had the right answer! And proved it was right, right there on the test! I still remember the outrage. Over a question that did not matter then (I got an A+ in the course either way) or now.
You need great materials to teach mathematical modeling as mandated by the Common Core State Standards for Mathematics (CCSSM). The Teachers College Mathematical Modeling Handbook is the ideal text to do just that. Each Mathematical Modeling Handbook II: The Assessments $20.00 . Each Mathematical Modeling Handbook II $20.00 You need great materials to teach mathematical modeling as mandated by the Common Core State Standards for Mathematics (CCSSM). The Teachers College Mathematical Modeling Handbook is the ideal text to do just that. Each Mathematical Modeling Handbook CD-ROM includes: All 26 Mathematical Modeling Modules on a convenient CD-Rom. Each CD-Rom contains Student material and Teacher material. The CD-Rom is broken up by module giving you the option to print out the whole book or just those units you plan to use. Learn More 2013 MCM-ICM $16.99 Now Available: View all the Outstanding papers in their entirety. This will make a great addition to any modeling class or can be used for contest preparation. ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module's underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters. Learn More Principles and Practices of Mathematics $49.00 Principles and Practices of Mathematics is a new first course for math and client department majors designed to replace the introductory calculus courses. Using broad themes in mathematics such as growth and change, the course stresses mathematics as subject much broader than calculus. Learn More Precalculus: Modeling Our World Precalculus: Modeling Our World uses contemporary applications and the modeling process to teach and motivate students in a high school precalculus course. Using real-world applications, students explore the essential concepts and develop data analysis and problem-solving skills that they need in their future studies and career.Learn More Student Edition $54.00 Teacher's Edition $74.00 College Algebra: Modeling Our World College Algebra: Modeling Our World in the COMAP tradition, contemporary applications and mathematical modeling are presented in novel ways to help teach and motivate students. Throughout the text, students explore a number of essential concepts and develop important modeling, data analysis, and problem-solving skills necessary to prepare them for the future. Learn More Student Edition $39.00 Teacher's Edition $59.00 Mathematics as a Second Language Interactive Audio Glossary $89.99 COMAP introduces an indispensable tool for teachers with Spanish speaking students! This interactive CD-ROM features mathematical terms defined in both English and Spanish with accompanying examples and/or drawings. Over 300 mathematical terms clearly defined and pronounced in English and Spanish at the click of your mouse. Terms defined range from the elementary to the secondary school mathematics curriculum. Learn More TechMAP TEST PREP Vocational and Technical Applications $89.00 Covering topics from Algebra I to Precalculus, TechMAP modules show high school students real, immediate uses for mathematics. All students MUST PASS the same standardized tests in order to graduate and succeed. All 22 TechMAP modules show tangible, real-world applications of the material on these exams, driving home required math skills. The mathematics required by state tests is taught in algebra and geometry courses, but for many students this is not enough. TechMAP modules demonstrate these skills in vocational fields; they help reinforce existing mathematics courses through actual career activities. These modules are self-contained with exercises, teacher notes, handouts, etc., and can be used individually or together. Each module takes one to three weeks of classroom time. Learn More MCM @ 21 CD-ROM Mathematical Contest in Modeling $29.99 This special volume commemorates the second ten years of the Mathematical Contest in Modeling (MCM). With the 2005 contest, the MCM turned 21. This volume contains all of the 20-problem set in the second ten years of the MCM. For each year, one Outstanding paper is included, together with abbreviated accompanying commentaries. Learn More UMAP Tools for Teaching 2010 Undergraduate Mathematics and Its Applications The Modeling Resource CD-Rom offers mathematical modeling problems, sample solutions, and other resources suitable for instructors and students in modeling courses, advisors and team members in modeling competitions, and those who want to make mathematics courses more relevant. The problems are taken from the Mathematical Contest in Modeling (MCM), the Interdisciplinary Contest in Modeling, (ICM), the High School Contest in Modeling (HiMCM), and the Consortium column Everybody's Problems. Learn More HiMAP Library High School Mathematics And Its Applications $119.00 HiMAP Modules are the perfect companion to any high school text. Each Module is a self contained modeling problem that includes exercises, activities, and where appropriate, assessment problems. HiMAP Modules cover a broad range of application areas, and topics in both discrete and continuous mathematics. With dozens of modules in print, for courses from pre algebra to pre calculus, there is a module for almost any subject, interest, and mathematics ability. Each CD-ROM contains the complete HiMAP library. The CD-ROM also contains: Links to the comap website and information about video support for the HiMAP library. Learn More GeoMAP Library Geometry & its Applications $119.00 Available in self-contained modules, GeoMAP allows you and your students to explore geometry as it is used in the world today. Modules address major themes in both mathematics and civilization, such as: search for optimality study of regularity, symmetry, and other aesthetic qualities of objects and drawings avoidance and resolution of conflict prediction and control of physical motions study of measurement. The materials are flexible enough to be used in almost any class from algebra and geometry through precalculus, and are ideal for discrete mathematics or college preservice classes. Learn More ILAP Library Interdisciplinary Lively Applications Project $89.00 ILAP Modules consist of 18 small group problem-solving projects that motivate students to develop mathematical concepts and skills. The principles of other disciplines are melded with those of mathematics, producing a broader outlook on solving problems. Formulated like case studies, these projects require students to use scientific and quantitative reasoning, mathematical modeling, symbolic manipulation, and computation. Learn More Consortium Pull-Out NEW 2010 Edition $119.00 Written by high school teachers and mathematicians, each Pull-Out lesson contains a reproducible classroom activity centered on a real-world modeling problem. Included are math concepts traditionally taught in high school over a wide range of applications including genetics, defense systems, voting, environmental issues, and more. Available for the first time all 88 Pull-Outs from 1985 to 2010 on one CD-ROM. Learn More Mathematics as a Second Language $14.99 The Mathematics as a Second Language Glossary features mathematical terms defined in both English and Spanish with accompanying examples and/or drawings. The terms are in alphabetical order by the English word. A separate cross-reference of Spanish words only appears in the Index beginning on page 99. The terms used range from those appearing in the elementary school mathematics curriculum to the secondary school mathematics curriculum. Learn More UMAP Library NEW 2011 Edition Undergraduate Mathematics and Its Applications $299.00 UMAP Modules are the perfect companion to any high school or undergraduate mathematics text.The UMAP Library contains over 300 supplemental, self-contained modeling modules that include exercises, activities, and, where appropriate, sample exams. Applications range from architecture to zoology, and math topics range from beginning algebra to multivariate calculus. Each CD-ROM contains the complete UMAP library. Learn More Statistics: Decisions Through Data $89.00 Statistics: Decisions Through Data is an introductory statistics course that unravels the statistical arguments behind surveys, polls, experiments, and product claims. Each episode begins with a documentary segment that engages students' interest, and then teaches skills to gather data, analyze patterns, and draw conclusions about real-world issues. Learn More Math Packs $159.00 $75.00 $20.00 $299.00 Designed for use in high schools, two-year colleges, and universities, MathPacks are self-contained lessons that bring math to life. There are 7 Packs organized by topic: For your convenience, we have also gathered together lessons that illustrate the application of mathematics to a variety of disciplines. Pick and choose from the best of COMAP to fit your students' interests and ability levels: The power to elect officials is the power to change the world, but the mathematics of voting extends far beyond the notion of majority-rule. This election year, use COMAP materials to explore this fascinating process with your students. The candidate with the most votes wins an election. Simple, right? Wrong. The whole story has as much to do with voting methods as voting numbers . Casting Your Ballots: Elections is a new multi-media tool from COMAP that allows students to make connections to current events. Both CD-ROM and DVD components contain materials that help students address complex questions that are a very real part of our political system. • How can different candidates win the same election, depending on which voting method is used? Students examine methods such as Borda, Condorcet, and plurality with runoff. • How does mathematics define fairness? Can an election process be totally fair? • What is power ? Explore the notion of "dummies," the Banzhaf index, coalitions, and how apparently equitable systems can easily turn out to be lopsided and unfair. As the elections progress and dominate the headlines, students will have a deep understanding of what is happening in the world around them. Learn More Casting Your Ballots: Elections II $39.99 What is a good way for a group to make a democratic decision? Mathematical modeling is essential in answering this question. In this unit, which is developed from COMAP's Mathematics: Modeling Our World curriculum, students: . Are introduced to mathematical modeling in the engaging context of elections; . Develop their skills in number sense and percentages; . Learn about new representations, including preference diagrams and digraphs, and current election reform topics such as instant runoffs and approval voting; . Use software (for PC and Mac) to conduct their own elections and explore "what if" questions with election data. A video adds historical (1992 election) and contemporary (Nielsen ratings) background. Supplemental material includes several articles from Consortium on elections and related topics. Learn More Tools of the Trade Real problems related to agriculture are the basis for teaching and learning mathematics in this program. Problems are drawn from agriculture literature, economists, farms, business persons, and a variety of agriculture professionals. Mathematical skill areas are those used widely in agricultural settings. Features: Flexibility in teaching and classroom management, units are appropriate for full class, individual, or small group work. Different types of units, provide for variety in daily work. Standard student worksheets units table and graphical interpretation units mini-research projects units solutions are given with the exercises in teacher's edition. no looking in a separate place. Video introduces many units. Learn More CD-ROM & VHS $75.00 CD-ROM & DVD $75.00 Bridges to Classroom Mathematics Prepare your elementary schools for implementing the NCTM Standards! COMAP has developed materials that local school personnel can use to conduct professional development workshops for elementary teachers. The materials address the mathematics and pedagogy underlying several innovative elementary school programs based on the NCTM Standards. Bridges includes approximately 60 two-hour sessions that staff developers can combine flexibly to design workshops to meet local needs and resources. The materials consist of three groups of sessions, a handbook, and videotapes. Each of the Bridges units includes a detailed Staff Developer's Guide, masters for handouts and overhead transparencies, and materials lists. Some units include a video. Learn More Staff Developer's Guide: Investigations in Number, Data, and Space ® Staff Developer's Guide: Investigations in Number, Data, and Space ® sessions are designed for teachers using the Investigations curriculum developed at TERC. Learn More
Pre-Calculus (Advanced Math) (Saxon) This is David A. Wheeler's site for the Sovereign Grace Church (SGC) co-op Pre-Calculus class ("Advanced Math"), which uses the textbook Saxon "Advanced Math" (2nd edition, copyright 1996). This site has the latest versions of all class materials, including my detailed notes and examples for every lesson. This site is not officially sponsored by SGC or the co-op, but is provided in the hope that it will help the students in my class. Questions from my students are welcomed and encouraged! I offer these notes to anyone who is using this textbook, in the hope that they will be helpful. I am delighted that others are finding these notes helpful - so if you find them helpful, let me know! Here's what one happy reader said: "I have been using your notes (for circular permutations [lesson 55] they were a big help). We live in a remote area of Florida and I don't know any others in this area that are working on Advanced Math." [MFurey]. One of the main reasons I teach the class is because I believe it is important for people to learn the basics of math... I cannot teach everyone, but this is a small way I can help. A word about data formats: I normally edit my class notes in OpenDocument format (ODF), which is the international open standard for office documents (ISO/IEC 26300:2006). Files ending in ".odt" are OpenDocument text (e.g., word processing format). There are many programs that can read and write this format; two good free ones are LibreOffice and OpenOffice.org, both of which are available for MS Windows, Apple Macintosh, Linuxes, *BSDs, and Unix. (I'm told that Microsoft Office can also read them, but I have not checked.) If you just want to read the notes, you can read the PDF version (PDF is also internationally standardized); there are lots of PDF readers, many free. As a general rule I strongly encourage the use of open data standards (formats that aren't controlled by any one vendor), such as ODF, PDF, and HTML. I also use the international standard format for dates (ISO 8601), YYYY-MM-DD, which helps to avoid confusion in international communication - and it sorts well too. I typically have notes on the lessons ready the night before, and make minor revisions within the day after class (based on comments during class). As you do your lesson problems, do one problem and then check the answer (don't do all the problems at once). Otherwise you might practice doing it wrong. Also, if you make a mistake, work hard to figure out exactly why, and then figure out what to change so that you never make that mistake again. Turn in tests on Sunday in the "HEA Tests" mailbox (lower rightmost box); mailboxes are in the foyer behind the information desk. Parents: Please do a preliminary grading; put a big "check" or "elongated C" (correct) mark by the correct ones, and a big "X" by the incorrect ones. That way, I can concentrate on figuring out partial credit, and you can have immediate information on how well they're doing. Here are some test-taking tips: Show your work! Show each step to the answer, not just the answer. I can't give partial credit with only the answer. And in the "real world", you'd need to show your work to some sort of peer review, to make sure that the answer is right. Use smaller steps, and more paper. If you try to do too many steps at once, you're much more likely to make mistakes, and it'll be harder for you to check your work later. It's also harder for me to help you. Paper's cheap, mistakes aren't; feel free to use lots of paper. I typically do only 1-2 problems per page. You don't need to use that much paper, but please don't worry about conserving paper; concentrate on getting the right answer. Check your work! If you solved an equation, plug it back in and see if you got it right. At least examine each step and make sure each one is correct. If you're worried about time, do all the problems and then go back and check your work... but check your work! This also means you need to circle your answer, so I can find it. This will mean that your work will take more paper, but as noted above, paper's cheap. Read and then skip problems you're not sure how to do, and come back to them later. That way, you can be thinking about them while you solve problems you do know how to solve. But be careful - don't forget to do them later! I write the problem number at the top of a blank page, and then start a new blank page. Before I turn it in, I count through each question (blank pages are really easy to spot), so that I'm sure I answered them all. For creating proofs, see my lesson 9 hints on proofs. Write down what you know, try to derive what you can "easily" derive, and then see if you can bridge the gap to what you need to show. Legal stuff: The Saxon book is copyrighted, so I cannot post extensive portions of the book. To avoid running afoul of copyright law, I create my own explanations and examples - which means these notes are my own copyrighted work, and are not a derivative of Saxon's work. Having things explained in a different way, with different examples, is better for teaching anyway (because it gives my students more examples to learn from). I do use the same order of instruction as Saxon's book - I don't see how I could avoid doing so while using Saxon as the textbook! I believe this is de minimus (so small as to not matter), but even if it isn't, this use of Saxon's outline is clearly fair use. After all, it is for the purpose of teaching, it's for nonprofit educational purposes, it's clearly transformative (I create new examples and explain things differently instead of just posting the outline), it emphasizes mathematical facts (which cannot be copyrighted), its content is quite different from Saxon's (it merely follows the same order), and it does not diminish Saxon's potential market (if anything, it increases it). Fair use is a critically important part of U.S. law.
Please wait for loading... (132): Maths TutorTo bridge the gap from school to university study, to revise or find the maths topic you missed, you will want to meet mathtutor . Video tutorials, with diagnostics, ... ‎Algebra - ‎Differentiation - ‎Integration - ‎Arithmetic Who Makes Mathtutor ? We are a group of teachers, mathematicians and new media producers from the Universities of Leeds, Lougborough and Coventry and ... ‎Algebra - ‎Differentiation - ‎Integration - ‎Arithmetic Integration - Maths TutorIntegration is often introduced as the reverse process to differentiation, and has wide applications, for example in finding areas under curves and volumes of ... ‎Integration as summation - ‎Integration as the reverse of ... - ‎Integration by parts Pascal's triangle and the binomial theorem - Maths TutorPascal's triangle and the binomial theorem ... In this tutorial you will learn how Pascal's triangle can be used to obtain the required ... Video tutorial 54 mins. Transposition of Formulae - Maths TutorTransposition of Formulae . It is often useful to rearrange, or transpose , a formula in order to write it in a different, but equivalent form. This unit explains the ... Expanding And Removing Brackets - Maths TutorIn this unit we see how to expand an expression containing brackets . By this we mean to rewrite the expression in an equivalent form without any brackets in. Volumes of solids of revolution - Maths TutorVolumes : Exercises . 1/3. 1 (i). Attempt the following questions. Find the volume generated when the area is rotated about the x-axis: The area between the curve ... Integration by substitution - Maths TutorThere are occasions when it is possible to perform an apparently difficult piece of integration by first making a substitution . This has the effect of changing the ... Integration by parts - Maths TutorA special rule, integration by parts , can often be used to integrate the product of two functions. It is appropriate when one of the functions forming the product is ... The gradient of a straight line segment - Maths TutorIn this unit the gradient of a straight line segment is found, and the relationships between the gradients of parallel lines and perpendicular lines are explained. Finding areas by integration - Maths TutorFinding areas by integration . In simple cases, areas can be found by evaluating a single definite integral . Sometimes the integral gives a negative answer, and ... distance between two points - Maths Tutorstraight line between two points . The distance between the two points and the mid-point of the line joining the two points are calculated. Video tutorial 27 mins. Differentiation from first principles - Maths TutorDifferentiation from first principles . What is differentiation? It is about rates of change - for example, the slope of a line is the rate of change of y with respect to x.
Precalculus - With 2 CDS - 4th edition Summary: Bob Blitzer's background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets students engaged and keeps them engaged. Presenting the full scope of mathematics is just the first step. Blitzer draws students in with applications that use math to solve real-life problems. Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, and Precalculus, all published by Pearson Prentice Hall. Hardcover New 0321559843 Brand New Never Used, choose expedited shipping if you need it quick125.76 +$3.99 s/h New Lyric Vibes Geneva, IL Hardcover New 0321559843 New Condition ~~~ Right off the Shelf-BUY NOW & INCREASE IN KNOWLEDGE... $149.95 +$3.99 s/h New textsforsale Manvel, TX f...show moreree tracking. ...show less $149.95 +$3.99 s/h New newtextstogo Manvel, TX Absolutely BRAND NEW ORIGINAL US HARDCOVER STUDENT 4th Edition / with two sealed two Test Prep Video CD-ROMs / Mint condition / Never been read / ISBN-10: 0321559843. Shipped out in one business day w...show moreith free tracking
Intermediate Algebra: A Course for College Students You'll have the confidence and knowledge to succeed in this course and any subsequent math course you take with UNDERSTANDING INTERMEDIATE ALGEBRA: A ...Show synopsisYou'll have the confidence and knowledge to succeed in this course and any subsequent math course you take with UNDERSTANDING INTERMEDIATE ALGEBRA: A COURSE FOR COLLEGE STUDENTS. Hirsch and Goodman's gradual introduction of concepts, rules, and definitions through a wealth of illustrative examples (both numerical and algebraic) will help you compare and contrast related ideas and understand the sometimes-subtle distinctions among a variety of situations NO CD! ! This item may not include any CDs, Infotracs, Access cards or other supplementary materialFine. 0534417957 Like New copy, without any marks or highlights...Fine. 0534417957 Like New copy, without any marks or highlights. VALID PASSCODE ANS SEALED CD INCLUDED. Might have minor shelf wear on covers. This is Student US Edition. Same day shipping with free tracking number. Expedited shipping available. A+ Customer Service
Summary: Contemporary's GED Satellite: Mathematics has been created to provide students with detailed study and practice for the 2002 GED Mathematics exam. This book begins with basic operations and moves through more complex mathematical study that contains activities for both the fx-260 calculator and longhand problems. Real-life examples are included to assist students in the application process. Alternate format responses play a role in GED-style question and in chapter r...show moreeview format
This section contains free e-books and guides on Complex Analysis, some of the resources in this section can be viewed online and some of them can be downloaded. This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that theory.Numerous examples have been given throughout the book, and there is also a set of Miscellaneous Examples, arranged to correspond with the order of the text. These are the sample pages from the textbook, 'Introduction to Complex Variables'. This book covers the following topics: Complex numbers and inequalities, Functions of a complex variable, Mappings, Cauchy-Riemann equations, Trigonometric and hyperbolic functions, Branch points and branch cuts, Contour integration, Sequences and series, The residue theorem, Evaluation of integrals, Introduction to potential theory, Applications, Fourier, Laplace and Z-transforms.
Description This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books a la Carte also offer a great value—this format costs significantly less than a new textbook. Mathematical Reasoning for Elementary Teachers presents the mathematical knowledge needed for teaching, with an emphasis on why future teachers are learning the content as well as when and how they will use it in the classroom. The Sixth Edition has been streamlined to make it easier to focus on the most important concepts. The authors continue to make the course relevant for future teachers, including the new features like Examining School Book Pages, as well as the hallmark features like Into the Classroom discussions and Responding to Students questions. This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.
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Methods Used to Solve Discrete Math Problems Interesting examples highlight the interdisciplinary nature of this area Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the... more... Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools... more... This book provides algorithms and ideas for computationalists. Subjects treated include low-level algorithms, bit wizardry, combinatorial generation, fast transforms like the Fourier transform, and fast arithmetic for both real numbers and finite fields. Various optimization techniques are described and the actual performance of many given implementations... more... This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home
MATH 1033 - College Algebra This course includes topics such as polynomials, radicals, exponents, coordinate geometry, rational expressions and equations, and solutions to linear and quadratic equations. Students are introduced to the concept of functions and their graphs. Additional topics may include conic sections, matrices, variation, and nonlinear inequalities. Emphasis will be placed on problem solving. A graphing calculator is required. Students cannot receive credit for MATH 1033 if they have credit for MATH 1054. Students cannot receive credit for MATH 1033 if they have credit for MATH 1063, MATH 1084, or any course for which MATH 1063 or MATH 1084 are prerequisites. A grade of C or better is required to take Math 2043, College Trigonometry.
Quadratic equations explained in detail in all aspects. Quadratic equations have extended number system from rational numbers to real number system, including irrationals, from real numbers to... More > complex numbers, including imaginary numbers. Theory of complex numbers have proved the fundamental theorem of algebra, confirming that every polynomial has a root. Attempts to prove the theorem has given rise to discovery of algebraic structures, fields vector spaces, linear spaces. In short all the branches of Mathematics seem to have sprung up from quadratic equations.< Less This e-book presents a simple step-by-step procedure for one of the most important of mathematical techniques, making it available to persons of every age and stage! Questions are included for... More > practice, and answers are provided to measure your progress text provides instruction in basic algebra concepts, including working with integers, linear equations, combining polynomials, factoring and solving quadratics, and an introduction to rational... More > expressions.< Less This text provides instruction in basic algebra concepts, including working with integers, linear equations, combining polynomials, factoring and solving quadratics, and an introduction to rational... More > expressions.< Less
708485 / ISBN-13: 9780201708486 ...Show more including its five-step problem-solving process, student-oriented writing style, real-data applications, and wide variety of exercises. Among the features added or revised are new Aha! exercises that encourage students to think before jumping in to solve a problem, 20% new and added real-data applications, and 50% more new Skill Maintenance Exercises. This series not only provides students with the tools necessary to learn and understand math, but also provides them with insights into how math works in the world around them
Topics include algebra of polynomials and rational expressions; solution of systems of linear equations; solution of problems involving inequalities and absolute values and determinants; solution of polynomial equations including the remainder theorem, factor theorem, and synthetic division; graphing of functions and conic sections; logarithmic and trigonometric functions and their graphs; and solution of triangles, trigonometric equations, and trigonometric identities. Prepares students for MATH 102, 105, STAT 101, and 161. (LA) Prerequisite: 2 years high school mathematics including algebra, or MATH 002.
Geometric Tools for Computer Graphics [NOOK Book].... More About This Book. If you have a mathematics degree, this book will save you time and trouble. If you don't, it will help you achieve things you may feel are out of your reach. Inside, each problem is clearly stated and diagrammed, and the fully detailed solutions are presented in easy-to-understand pseudocode. You also get the mathematics and geometry background needed to make optimal use of the solutions, as well as an abundance of reference material contained in a series of appendices. Features Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. Covers problems relevant for both 2D and 3D graphics programming. Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. Provides the math and geometry background you need to understand the solutions and put them to work. Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. Resources associated with the book are available at the companion Web site mkp.com/gtcg. * Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. * Covers problems relevant for both 2D and 3D graphics programming. * Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. * Provides the math and geometry background you need to understand the solutions and put them to work. * Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. * Resources associated with the book are available at the companion Web site mkp.com/gtcg. Editorial Reviews From the Publisher "An hour of a programmer's time often costs more than the price of a book. By this measure, you hold a volume potentially worth thousands of dollars. That it can be purchased for a fraction of this cost I consider a modern miracle. The amount of information crammed into this book is incredible." --Eric Haines Related Subjects Meet the Author 24 years of professional programming, primarily focused on modeling tools and geometric algorithms. Employers include Digital Equipment Corporation, Apple, Walt Disney Feature Animation, Digital Domain, and Industrial Light + Magic. Formed and lead groups specializing in these areas as well as in physics simulation. Film Credits: Oil & Vinegar, 102 Dalmatians, Disney's Magic Lamp, Mickey's Philharmagic, Reign of Fire, Kangaroo Jack, Chicken Little, Indiana Jones and the Kingdom of the Crystal Skull, Pirates of the Caribbean: Dead Man's Chest, Harry Potter and the Goblet of Fire. ACM Siggraph, IEEE. M.S. in Computer Science, University of Washington. 2005 Great Source Hi,- this is a great book and the resources are compiled into a good bundle. it would be nice to have some reference to OGC standards to 3D and 2D geometry. Excellent work! Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged. Anonymous Posted February 21, 2004 Very Cool I bought 'Collision Detection in Interactive 3D Enviroments' and '3D Game E ngine Design' and i did not understand them. So, I bought this book and it explains all this math stuff very well. Its goal is so you UNDERSTAND the material thank God. Basically if you know nothing about linear algebra and this advanced geometry, this book will teach you it very well. So, in order to understand these more advanced books you need to read this book. And, yes theres errors, but the aurthor has a web site listing all the corrections. So with the corrects, its errorless. I read these books and enjoeyed them, since they are more than 255 characters, I cannot post them in the ' Include some related titles you also enjoyed: (optional)' window (you ought to know better Mr. Programmer!: '3D Game Engine Design' 'Collision Detection in Interactive 3D Enviroments' 'Physics for Game Developers' 'Programming in C++' 'C++ Effective Object-Oriented Software Construction' 'Data Structures with STL' 'Big Java' 'Game Programming Gems, Vol. 1' 'Digital Lighting & Rendering' Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged.
Introduction to Mathematical Thinking: Algebra and Number Systems Book Description: Besides giving readers the techniques for solving polynomial equations and congruences, An Introduction to Mathematical Thinking provides preparation for understanding more advanced topics in Linear and Modern Algebra, as well as Calculus. This book introduces proofs and mathematical thinking while teaching basic algebraic skills involving number systems, including the integers and complex numbers. Ample questions at the end of each chapter provide opportunities for learning and practice; the Exercises are routine applications of the material in the chapter, while the Problems require more ingenuity, ranging from easy to nearly impossible. Topics covered in this comprehensive introduction range from logic and proofs, integers and diophantine equations, congruences, induction and binomial theorem, rational and real numbers, and functions and bijections to cryptography, complex numbers, and polynomial equations. With its comprehensive appendices, this book is an excellent desk reference for mathematicians and those involved in computer science
king how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. However, it is a recognized fact that problem solving plays an important role in training the mind of a researcher. It would not be an exaggeration to say that the ability to do mathematical research lies essentially asking "well-posed" questions. The approach taken by the authors in Problems in Algebraic Number Theory is based on the principle that questions focus and orient the mind. The book is a collection of about 500 problems in algebraic number theory, systematically arranged to reveal ideas and concepts in the evolution of the subject. While some problems are easy and straightforward, others are more difficult. For this new edition the authors added a chapter and revised several sections. The text is suitable for a first course in algebraic number theory with minimal supervision by the instructor. The exposition facilitates independent study, and students having taken a basic course in calculus, linear algebra, and abstract algebra will find these problems interesting and challenging.For the same reasons, it is ideal for non-specialists in acquiring a quick introduction to the subject. less
More About This Textbook Overview This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments. The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end
Full course description Students often encounter grave difficulty in calculus if their algebraic knowledge is insufficient. This course is designed to provide students with algebraic knowledge needed for success in a typical calculus course. We explore a suite of functions used in calculus, including polynomials (with special emphasis on linear and quadratic functions), rational functions, exponential functions, and logarithmic functions. Along the way, basic strategies for solving equations and inequalities are reinforced, as are strategies for interpreting and manipulating a variety of algebraic expressions. Students enrolling in the course are expected to have good number sense and to have taken an intermediate algebra course. John Lorch, Ph.D. Professor of Mathematical Sciences John Lorch is a professor of mathematics at Ball State University and a graduate of Grant Elementary School, the University of Colorado, and Oklahoma State University. His mathematical interests include combinatorial designs, the history of mathematics, and the content preparation of pre-service secondary school mathematics teachers. He enjoys sharing mathematical ideas with undergraduate students, often leading to senior honors theses or other creative projects. When not engaging in mathematics, Dr. Lorch enjoys blues guitar, classic supernatural fiction, and stupid, juvenile, wife-annoying movies.
Devry Math 221 Essays and Term Papers Math 221 - Statistics Practice Quiz Week 2 This quiz review covers materials from Weeks 1 and 2. Your quiz will be in Week 3 located in the Quiz Tab. Your quiz will mostly comprise of multiple choice, true/false, and essay questions. The answers are at the end of the questions. 1. The measur Math 221 Week 2 Lab Part 1. Random Sampling 1. To perform random sampling, I used the Data Analysis function under the Data tab. Once I clicked on Data Analysis I chose the Sampling function. I then chose the Input Range of d Buried Treasure Ashford University MAT 221 Buried Treasure For this week's Assignment we are given a word problem involving buried treasure and the use of the Pythagorean Theorem. We will use many different ways to attempt to factor down the... Treasure Hunt: Finding the Values of Right Angle Triangles This final weeks course asks us to find a treasure with two pieces of a map. Now this may not be a common use of the Pythagorean Theorem to solve the distances for a right angled triangle but it is a fun exercise to find the values of the Formulas Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment: • Read about Cowling's Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algeb Bookmarks appear on the left side of this pdf to help you navigate the online catalog. In addition, throughout the pdf are links to help you navigate to other sections within the catalog as well as to external websites that may provide you with valuable information. Links are noted in blue and und Math tricks Being able to perform arithmetic quickly and mentally can greatly boost your self-esteem, especially if you don't consider yourself to be very good at Math. And, getting comfortable with arithmetic might just motivate you to dive deeper into other things mathematical. This article pr Math Review for the GMAT MBA Center By Hubert Silly, PhD & Zeyu Lee, MBA 1 2 3 Acknowledgments Creating any test preparation book requires a team of committed and talented individuals. What makes The Math Review for the GMAT unique is that our writers are also our teachers. Not on CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL DISTRIBUTION Cumulative probability Entries in this table give the area under the curve to the left of the z value. For example, for z = –.85, the cumulative probability is .1977. z 0 .02 .0013 .0018 .0024 .0033 .0044 .0059 .0078 .0102 .0132 Can The World Function Without Math? DeVry University Math 114 Professor Leon Alpert September 27, 2012 Can The World Function Without Math? Mathematics has been around for thousands of years and is used every day all over the world. Mathematics is like another language for us. Yes, math
Materials: (Bring to class every day) • 3 ring binder (suggested sections - notes, homework, quizzes/tests) • Pencil(s) with eraser – work completed in ink will not be accepted • RED ink pen for checking work • Paper (regular notebook paper and graph paper) • Textbook • Calculator (it is recommended that students invest in a TI-84 graphing calculator since that is the one that will be used most often in all other math classes) Classroom Policies • Arrive on time to class or get a tardy note from the office. • Only ask to use the restroom during the last few minutes of class. • Do not bring food or drink (except water) into the classroom. Chewing gum must stay in your mouth (no bubbles or stretching) or you will be asked to put it in the garbage. • Do not use fragrance in the classroom. This includes lotion, hand sanitizer, deodorant, and cologne. • Do not use electronic devices (cell phones, mp3s, cameras, kindles, etc.) or headphones in the classroom at any time. • Come to class each day with all materials. Do not expect to borrow classroom materials from the teacher. • Sit in the seat assigned by the teacher. Math Lab: MWTh 12:00 – 12:30 or 12:35 – 1:00 in room LC1 (come during your assigned study hall) • Lab is limited to 6 students each day. • The purpose of math lab is not to complete today's homework assignment. Math lab is for extra help when a student is absent or behind. Homework/Notebook: (approximately 20% of each quarter grade) • Homework o Will be assigned daily, checked at the beginning of the next class, and taken up for a grade o In order to receive full credit, students must complete all assigned problems with any processes shown clearly and all figures drawn and accurately labeled o Late work will be given 70% credit at most and will not be accepted after one week past the due date. o If a student has an excused absence, missed work is expected within three days of the student's return to school in order to be accepted. Please see me if you have an extended absence (more than 2 consecutive days.) o Papers without names will not be graded. • Notebook o Will be taken up once per quarter o Grade will be based on completed notes and reflection questions Quizzes/Tests: (approximately 80% of each quarter grade) • Quizzes o Will cover a small amount of material (one or two sections) o Will not take the entire class period o Will be given approximately once per week • Tests o Will cover several sections or a whole chapter o Will be given a full class period to complete (students will not be allowed more than 55 minutes to complete any test including makeups) o Will always be given on Tuesday or Friday o Will usually be announced at least 2 days in advance • MAKEUP TESTS/QUIZZES o Must be taken in the testing lab on Monday, Wednesday, or Friday in room 305. o Since students will be given a maximum of 55 minutes to complete a test, students should plan to report directly to the testing lab at 12:00 with their lunch. (Students may bring their lunch from home or purchase from the cafeteria.) Extended time will NOT be given, so plan accordingly.
Course Description: (Non-credit for mathematics major or minor.) Special emphasis for teachers of grades P-8. Broadens understanding of the fundamental concepts of algebra with particular attention to specific methods and materials of instruction. Course Objectives: Students will demonstrate a better understanding of: Attendance Policy: Students are expected to attend all classes. This term a student may withdraw with a grade of W through October 10th, regardless of grades, absences, etc. This deadline has been established by the University. After this deadline, if a student has accumulated more than four absences throughout the semester, he/she will normally receive a grade of WF. (A grade of WF counts as an F.) The four absences should be saved for sickness and other emergencies. Late arrivals and early exits count one-half of an absence. If a student is absent for a test and has an excuse from someone in authority, then the final exam grade will be used for the missed test in the calculation of the final course grade. No make-ups will be given. Students who maintain a perfect attendance record (i.e. no excused or unexcused absences) will have 6 points added to their Total Points at the end of the semester Conferences: Conferences can be beneficial and are encouraged. All conferences should occur during the instructor's office hours, whenever possible. If these hours conflict with a student's schedule, then appointments should be made. The conference time is not to be used for duplication of lectures that were missed; it is the student's responsibility to obtain and review lecture notes before consulting with the instructor. The instructor is very concerned about the student's achievement and well-being and encourages anyone having difficulties with the course to come by the office for extra help. Grades will be based on coursework, not on Hope Grant needs, GPA, or any other factors outside the realm of coursework.
The Algebra 2 Tutor DVD Series teaches students the core topics of Algebra 2 and bridges the gap between Algebra 1 and Trigonometry, providing students with essential skills for understanding advanced mathematics. This lesson teaches students how to solve a system of equations using the substitution method. In this technique, one equation is solved for a variable which is then substituted into the other equation. This allows the solution to be found without any graphing required. Grades 8-12. 18 minutes on DVD.
This introduction to probability theory transforms a highly abstract subject into a series of coherent concepts. Its extensive discussions and clear examples, written in plain language, expose students to the rules and methods of probability. Suitable for an introductory probability course, this volu... read more Customers who bought this book also bought: Our Editors also recommend: Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions. Basic Probability Theory by Robert B. Ash This text emphasizes the probabilistic way of thinking, rather than by measuring theoretic concepts. Geared toward advanced undergraduates and graduate students, it features solutions to some of the problems. 1970 edition. Elements of the Theory of Markov Processes and Their Applications by A. T. Bharucha-Reid Graduate-level text and reference in probability, with numerous scientific applications. Nonmeasure-theoretic introduction to theory of Markov processes and to mathematical models based on the theory. Appendixes. Bibliographies. 1960 edition. Good Thinking: The Foundations of Probability and Its Applications by Irving John Good This in-depth treatment of probability theory by a famous British statistician explores Keynesian principles and surveys such topics as Bayesian rationality, corroboration, hypothesis testing, and mathematical tools for induction and simplicity. 1983 edition. Foundations of Probability by Alfred Renyi Taking an innovative approach to both content and methods, this book explores the foundations, basic concepts, and fundamental results of probability theory, plus mathematical notions of experiments and independence. 1970 edition. Statistical and Inductive Probabilities by Hugues Leblanc This treatment addresses a decades-old dispute among probability theorists, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former. 1962 edition. Applied Matrix Algebra in the Statistical Sciences by Alexander Basilevsky This comprehensive text offers teachings relevant to both applied and theoretical branches of matrix algebra and provides a bridge between linear algebra and statistical models. Appropriate for advanced undergraduate and graduate students. 1983 edition. Probabilistic Metric Spaces by B. Schweizer, A. Sklar Topics include special classes of probabilistic metric spaces, topologies, and several related structures, such as probabilistic normed and inner-product spaces. 1983 edition, updated with 3 new appendixes. Includes 17 illustrations. Harmonic Analysis and the Theory of Probability by Salomon Bochner Written by a distinguished mathematician and educator, this classic text emphasizes stochastic processes and the interchange of stimuli between probability and analysis. It also introduces the author's innovative concept of the characteristic functional. 1955 edition. A Treatise on Probability by John Maynard Keynes Originally published in 1921, this mathematical work represents a significant contribution to the logical probability of propositions. Keynes effectively dismantled the classical theory, launching the "logical-relationist" theory of probability. Introduction to Probability by John E. Freund Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition. Lady Luck: The Theory of Probability by Warren Weaver This witty, nontechnical introduction to probability elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings. Probability, Statistics and Truth by Richard von Mises This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics. Principles of Statistics by M. G. Bulmer Concise description of classical statistics, from basic dice probabilities to modern regression analysis. Equal stress on theory and applications. Moderate difficulty; only basic calculus required. Includes problems with answers. Probability Theory: A Concise Course by Y. A. Rozanov This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, and more. Includes 150 problems, many with answers. The Foundations of Statistics by Leonard J. Savage Classic analysis of the foundations of statistics and development of personal probability, one of the greatest controversies in modern statistical thought. Revised edition. Calculus, probability, statistics, and Boolean algebra are recommended. Product Description: This introduction to probability theory transforms a highly abstract subject into a series of coherent concepts. Its extensive discussions and clear examples, written in plain language, expose students to the rules and methods of probability. Suitable for an introductory probability course, this volume requires abstract and conceptual thinking skills and a background in calculus. Topics include classical probability, set theory, axioms, probability functions, random and independent random variables, expected values, and covariance and correlations. Additional subjects include stochastic processes, continuous random variables, expectation and conditional expectation, and continuous parameter Markov processes. Numerous exercises foster the development of problem-solving skills, and all problems feature step-by-step solutions
Document Actions About the Mary P. Dolciani Mathematics Learning Center Mission The Mary P. Dolciani Mathematics Learning Center is a a comprehensive facility designed to support the teaching and learning of mathematics and statistics. It is a Resource Center providing computer assisted tutorials, multi-media materials and videotapes for students enrolled in all math/stat courses in the Department, students enrolled in other courses in the College needing a review of mathematics, and students studying for standardized exams such as the GRE, GMAT, LSAT, LAST and Nursing Exams. It is a Tutoring Center for most math courses and the basic stat distribution course and offers problem sessions (critical thinking sessions) for 6 of the 100-level courses. The Center also sponsors study groups for all areas of mathematics through MATH 311 (Abstract Algebra) and STAT 213 (Introduction to Applied Statistics). In addition, the Center provides the trained tutors for the in-class component of MATH 101. It is the home base for the Pre-101, COMPASS, and OSS workshops. The pre-101 workshop enrolls approximately 200 students each semester and is taught using multi-media materials with tutors present. The COMPASS workshop is a classroom-based workshop usually taught during January and the summer. The OSS workshop is a pilot program offered this year for students who are "of promise" but not CUNY proficient. It is a Classroom and Classroom extension for mathematics education courses, pre-calculus, calculus, statistics and other upper-level courses, allowing instructors to conduct in-class demonstrations and explorations of mathematical and statistical concepts, via technology. It is the site of development and implementation for specialized programs and workshops in mathematics. These include Content-Based Study Skills, Multi-media Courses, Critical-Thinking Problem Sessions, Reviews for Placement Exams and SEEK support. History of Center The Mary P. Dolciani Mathematics Learning Center (formerly called the Math Learning Resource Center) opened in 1971 through a grant secured by Professor Mary P. Dolciani, a faculty member in the Mathematics Department. The first of its kind in CUNY and one of the first in the country, it was an audio-visual Center with the main thrust being to aid underprepared students in the learning of calculus and finite mathematics. Students progressed through courses using in-house prepared slides and tapes that covered all the topics in the course. Tutors were available to answer students' questions. The Center was upgraded through a generous grant from the Dolciani-Halloran Foundation in 1986, after the death of Professor Dolciani. Location The Center was originally located on the 12th floor of the North Building. Upon its move to 51st Street in 1973, the Center was able to house three sections of MATH 100 simultaneously. In 1979, the Center moved to the second floor of Thomas Hunter where the Access Center is now located. Today the Center is located in Rooms 300 through 306A HN. Upgrades and Expansions Timeline of Location of Dolciani Mathematics Learning Center 1986: The Center was upgraded to a computer facility and had as its primary role, the delivery of remedial mathematics instruction. 1990: The Center expanded to provide support services to students in all math/stat courses. 1995: The Center expanded to provide classroom instruction in calculus and statistics. 2000: The Center expanded physically to incorporate the delivery of computer-based pre-calculus, and statistics instruction. Today's Center As part of the Department of Mathematics and Statistics' Strategic Plan, the Center has identified broad goals for the next seven years. In addition to our current responsibilities we hope to: • Continue to encourage other departments using math/stat in their courses to send their students to our Center for multi-media support. • Explore the feasibility of offering on-line tutorial assistance during the hours in which the Center is closed. • Continue to support curriculum implementation and enhance the learning experience. Explore the feasibility of offering on-line tutorial assistance during the hours in which the Center is closed. • Create new support materials for upper-level courses. • Expand our on-line materials. • Work more closely with the Welcome Center and Advising Services to expand our visibility during their orientation programs. • Conduct focus groups at satellite campuses to explore what is needed to better serve this population. • Sponsor Open Houses/luncheons for faculty and staff to update them on new offerings and equipment. • Re-institute our monthly Round-Table Discussions on new technology and topics of interest to students, faculty and staff. • Formalize our outreach to staff members at the college so that those who are preparing to come back to school, take math/stat courses or sit for professional exams can receive academic support. • Expand our staff development programs. • Re-institute our linkages with high schools in the area to identify strong high school seniors to train as tutors. • Explore the possibility of re-instituting internal internships or field placements with Teacher Education/McNair programs and other scholar programs. • Continue to work towards NLCA accreditation. What You Can Do to Help - Encourage students to come to the Center. - Volunteer to write a lesson on selected topics needed. - Identify students (or adjuncts) who can tutor or assist in other DMLC related work.
Geometry: Fundamental Concepts and Applications 9780321473318 ISBN: 0321473310 Edition: 1 Pub Date: 2007 Publisher: Pearson Summary: This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra. Bass, Alan is the author of Geometry: Fundamental Concepts and Applications, published 2007 under ISBN 9780321473318 and 0321473310. Four hundred eighty four Geometry: Fundamental Conc...epts and Applications textbooks are available for sale on ValoreBooks.com, one hundred twenty used from the cheapest price of $1.14, or buy new starting at $18 Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order [more] This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra. <[
Mathematics 2014-2015 Course Offerings (4 credits to graduate) **Please note--there are a few summer Mathematics courses at Brophy that are offered as bridge courses for capable students to ascend the curriculum at an expedited pace. These courses do not count against a student's four credit requirement, however; all students must always be enrolled in a Mathematics course during the regular year. ALGEBRA IREQUIRED-FULL YEAR This course is designed to provide students with a basic foundation in algebra. Topics include linear and quadratic equations, factoring, polynomials, functions and inequalities. Students should plan on twenty to thirty minutes of homework per class session. HONORS ALGEBRA IBY RECOMMENDATION-FULL YEAR Placement is based upon entrance exam score for the class or 2012. This course covers the same topics as Algebra I, but at a faster pace; the difficulty level is also increased. Thirty minutes of homework can be expected per class session. HONORS ALGEBRA/GEOMETRY BY TESTING/RECOMMENDATION-FULL YEAR This course is designed for incoming 9th graders who can demonstrate mastery of concepts within the first semester content of both Algebra I and Geometry, but possess gaps in their understanding of semester two concepts. The course speed-reviews semester one content and then immerses students in work toward mastery of semester two concepts. Students who find success in this course will move into Algebra II or Honors Algebra II as 10th graders and will be on track to take either Honors Calculus or AP Calculus AB as seniors. GEOMETRYREQUIRED-FULL YEAR This course is designed to acquaint students with the basic structure and vocabulary of geometry as well as develop a proficiency in doing formal proofs. Students can expect thirty minutes of homework per class session. HONORS GEOMETRYBY RECOMMENDATION-FULL YEAR Prerequisite: Teacher recommendation. This course covers the same topics as Geometry but at a quicker pace and greater difficulty level. Thirty to forty minutes of homework can be expected per class session. ALGEBRA IIREQUIRED-FULL YEAR This course is designed to prepare students for college-level mathematics. Students should be prepared for thirty to forty minutes of homework per class session. HONORS ALGEBRA IIBY RECOMMENDATION-FULL YEAR Prerequisite: "B+" or better in Honors Algebra I or "A" in Algebra I and the recommendation of the teacher. This course covers the same topics as Algebra II but at a faster pace and greater difficulty level. Forty minutes of homework can be expected by students. THE FOLLOWING COURSES ARE POST-ALGEBRA II ELECTIVES WHICH COMPLETE THE FOUR-YEAR MATHEMATICS REQUIREMENT FOR SENIORS: ALL PLACEMENTS INCLUDE TEACHER RECOMMENDATIONS. PROBABILITY AND STATISTICSFULL YEAR Prerequisite: Algebra II A year long course for which no Rio Salado credit will be offered. Basic concepts and applications of statistics, including data description, estimation and hypothesis tests. PRE-CALCULUS {Rio Salado eligible} FULL YEAR Prerequisite: Algebra II This course is a full-year pre-calculus course that combines topics from algebra and trigonometry to offer strong preparation for university-level analytical geometry and calculus courses. HONORS PRE-CALCULUS {Rio Salado eligible} BY RECOMMENDATION—FULL YEAR Pre-requisite: Honors Algebra II and Teacher recommendation This course is a full-year advanced pre-calculus course that combines topics from algebra and trigonometry to offer strong preparation for AP Calculus AB, as well as advanced university-level analytical geometry and calculus courses. AP STATISTICS BY RECOMMENDATION-FULL YEAR Prerequisite: Solid success in Algebra II or above math class. The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data . This course is a full year calculus course that will examine the theory, techniques and applications of limits, continuity, differential and integral calculus of functions in one variable with problems related to business, the physical and social sciences. AP CALCULUS BCBY RECOMMENDATION-FULL YEAR Prerequisite: At least a B+ in AP Calculus AB and teacher recommendation. This full-year course will prepare students to take the Advanced Placement (AP) Calculus BC exam. Six to eight hours of homework per week can be expected. DIFFERENTIAL EQUATIONSFULL YEAR Prerequisite: This course is for students who have completed multi-variable calculus (AP Calculus BC). This course will introduce the student to the concepts and methods of solutions for differential equations. There will be some work with applications MATH AT XCP AP STATISTICS IS ALSO OFFERED AT XCP (Pre-requisite is a B or better in Honors Algebra II)
The course contains a practice test that you can take as often as you like. You can take the practice test wherever you have access to the web. You can not use a calculator on the test. The actual test is similar to the practice test. The test consists of 25 problems. You must complete the test in 60 minutes. The software grades your test once you complete it. A passing score on each test is 18 actual test, your advisor can register you for the appropriate math course. Algebra 120 Algebra 120 is an entry level course in college algebra. It requires a knowledge of topics in arithmetic and high school algebra. Particular topics are arithmetic operations on integers, arithmetic operations on fractions, operations with algebraic expressions, arithmetic operations on polynomials, factoring polynomials, rational expressions Math 105 Finite Math The placement test for finite math determines whether you are ready for a college math course that satisfies a general education requirement. The topics for the test for finite math come from high school courses in algebra. Particular topics are solving linear equations, solving linear inequalities, graphing linear equations, graphing linear inequalities, solving linear systems word problems, equations with fractions, roots and radicals, quadratic equation Registration To register for a course called Algebra Placement on CBU's Moodle server requires the use of your CBU email name assigned by Information Technology Services. Please follow these instructions. Algebra
Prealgebra - 4th edition Addressing individual learning styles,Tom Carsonpresents targeted learning strategies and a complete study system to guide students to success. Carson's Study System, presented in the ''To the Student'' section at the front of the text, adapts to the way each student learns, and targeted learning strategies are presented throughout the book to guide students to success. Tom speaks to students in everyday language and walks them through the concepts, ex...show moreplaining not only how to do the math, but also where the concepts come from and why they work 032175695988.00 +$3.99 s/h Acceptable Nettextstore Lincoln, NE 2012$104.97 +$3.99 s/h Acceptable Big River Books Powder Springs, GA
That's according to Samuel King, postdoctoral student in the University of Pittsburgh's Learning Research and Development Center, who has proposed the need for further research regarding calculators' role in the classroom. King has conducted a limited study with undergraduate engineering students published in the British Journal of Educational Technology. "We really can't assume that calculators are helping students," says King. "The goal is to understand the core concepts during the lecture. What we found is that use of calculators isn't necessarily helping in that regard." Together with Carol Robinson, coauthor and director of the Mathematics Education Centre at Loughborough University in England, King examined whether the inherent characteristics of the mathematics questions presented to students facilitated a deep or surface approach to learning. Related Articles On Futurity Using a limited sample size, they interviewed 10 second-year undergraduate students enrolled in a competitive engineering program. The students were given a number of mathematical questions related to sine waves—a mathematical function that describes a smooth repetitive oscillation—and were allowed to use calculators to answer them. More than half of the students adopted the option of using the calculators to solve the problem. "Instead of being able to accurately represent or visualize a sine wave, these students adopted a trial-and-error method by entering values into a calculator to determine which of the four answers provided was correct," says King. "It was apparent that the students who adopted this approach had limited understanding of the concept, as none of them attempted to sketch the sine wave after they worked out one or two values." After completing the problems, the students were interviewed about their process. A student who had used a calculator noted that she struggled with the answer because she couldn't remember the "rules" regarding sine and it was "easier" to use a calculator. In contrast, a student who did not use a calculator was asked why someone might have a problem answering this question. The student said he didn't see a reason for a problem. However, he notes that one may have trouble visualizing a sine wave if he/she is told not to use a calculator. "The limited evidence we collected about the largely procedural use of calculators as a substitute for the mathematical thinking presented indicates that there might be a need to rethink how and when calculators may be used in classes—especially at the undergraduate level," says King. "Are these tools really helping to prepare students or are the students using the tools as a way to bypass information that is difficult to understand? Our evidence suggests the latter, and we encourage more research be done in this area." King also suggests that relevant research should be done investigating the correlation between how and why students use calculators to evaluate the types of learning approaches that students adopt toward problem solving in mathematics. NEXT UP 7 Comments It is my opinion that if they're smart enough to program the formula into the phone and just setup a program to solve it, they understand the problem well enough. Fourier Transforms – they generally suck but are relatively easy to implement in a programmable calculator. R.Will November 14, 2012 Some students will be stronger with abstraction, and with pure math; other students will tend toward concreteness and applied math. Suggesting that one is superior to the other, a priori and with no sense of student capabilities or context, is a bit like favoring nature over nurture or vice versa as a theory of development. The fact of the matter is that each student will probably evince some linear combination of pure/applied aptitude and the trick is to shore up the weak side of the equation. Recent research (below quote) is the underpinning of my above argument. Punching buttons in robot mode is not the answer, nor is teaching pure abstractions the way to go. As "we" move forward, we probably need MOOC to get folks pointed in some direction, but the long run future of education is probably best rooted in 100% customization which will match curriculum to BOTH strengths and weaknesses of the student. "– an inability to understand and manipulate numbers. It has been known for some time that the parietal cortex, the top/middle region of the brain, plays a central role in so-called numerical cognition–." Steve O. November 14, 2012 I think the two previous commenters are missing the point–these students are not programming anything into the calculator, and neither are they not dyscalculic. They're in college, and they're simply not putting forth the effort to actually understand the concepts being taught in class. Nothing worthwhile is easy. That's why learning is hard. Stop trying to make it easy, and you will find it much more worthwhile. R.Will November 14, 2012 "I think the two previous commenters are missing the point" Maybe so. "–these students are not programming anything into the calculator" If "trial and error"="calculate", the above comment directly contradicts the article. So, modulus a linguistic equivalence, the commentator is probably incorrect in that he contradicts the article, but it is not clear that he has a researched foundation to do so and is not just offering a fact-free assertion without support. ", and neither are they not dyscalculic." not-not-dyscalculic= "dyscalculic"…is the commentator using litotes to make a point, agreeing that they are suffering from dyscalculia; or is he saying they do not…it is not clear from the double negative. It is also not clear how the commentator has access to facts not otherwise in evidence: whether or not the students in the sample do or do not suffer from that syndrome? "They're in college, and they're simply not putting forth the effort to actually understand the concepts being taught in class." This appears to be another bald assertion: where is the evidence as to effort in the article. How is the level of effort known to the commentator? There is a studied behavior is the Western world: parents praise success of a child to the child by talking about the child's intelligence. There is a similar but parallel Eastern behavior where effort is praised. Both approaches are "normative" but it is not clear that they form tested components of success. The commentator seems to follow the Eastern mode, but with no discernable foundation. Nor has that foundation been tested, that I know of. Jill November 15, 2012 Understanding how to use a calculator is a different skill than understanding math. Not that both aren't valid skills – but they are different. Bill James November 16, 2012 There is an alternative of course to this decades old argument. Develop calculators so that they help at all times, not hinder progress. The brand new alternative – only out this year and my definite find of the year – is the QAMA Calculator This calculator requires users to enter a reasonable estimate first, before it delivers the right answer. In the case of something like 7×8 or 3.54 x 1000, the only acceptable estimate is the correct answer, so the calculator acts as a check and gives immediate non-judgemental feedback. The need to be able to estimate Trig is key, and there is advice on how to do these estimations. There is so much fuss about i-pads and such like transforming education. I think QAMA COULD transform math and end for once and for all this, what should be, phoney argument. Those who want to ban calculators will see a calculator aid the skills that are lost – such as estimation, and also knowing about fractions rather than using the most pernicious 'fractions function' found on most calculators. (You can even find specific 'fractions calculator' apps now – what a complete and utter waste of time and money on something that deskills our children.) Those who want to allow full calculator use can use the QAMA wherever and whenever. And on the way, improve their pupils arithmetic skills whilst increasing their mathematical skills. and if you need to, you can always switch the estimation mode off for speed – with a few provisos of course. Donkeyrash Hubcousin November 17, 2012 They can pry my TI-89 from my cold dead hands. Seriously, my calculator has helped me understand the transformation of families of functions, how to visualize multivariate calculus, and help me catch my own mistakes.
Quoted from the site: [This site contains...] "Free mathematics tutorials to help you explore and gain deep understanding of... see moreThe sculptures by Brent Collins was an eye catch with the different shapes, this was the first that I have see of this type... see more The sculptures by Brent Collins was an eye catch with the different shapes, this was the first that I have see of this type of math. I also like the utility curve for mathematics - Bit-Player by Brian Hayes – the curve for life. It's like the title of our booklet "MATH IS EVERYWHERE". This site offers assistance for all types of math from basic math through calculus. There are text and video lessons as well... see more This site offers assistance for all types of math from basic math through calculus. There are text and video lessons as well as practice tests. These tutorials are based on a large variety of textbooks available from middle school through post-secondary A parabola is the set of points that are equally distant from the focus point and the directrix. This Tab Tutor program will... see more A parabola is the set of points that are equally distant from the focus point and the directrix. This Tab Tutor program will help you learn about the equation of a parabola and how to use it to derive the focus, vertex, and orientation. A useful glossary also introduces you to other features like the latus rectum and the axis of symmetry. With this Tab Tutor program, you'll learn about the equation of a horizontal ellipse and how to use it to derive the foci,... see more With this Tab Tutor program, you'll learn about the equation of a horizontal ellipse and how to use it to derive the foci, vertices, and minor axis. A useful glossary also introduces you to other features like the latus rectum and major axis. With this Tab Tutor program, you'll learn about the equation of a vertical ellipse and how to use it to derive the foci,... see more With this Tab Tutor program, you'll learn about the equation of a vertical ellipse and how to use it to derive the foci, vertices, and minor axis. A useful glossary also introduces you to other features like the latus rectum and major axis. Learn about the equation of a horizontal hyperbola with this Tab Tutor program. With step-by-step instruction and an... see more Learn about the equation of a horizontal hyperbola with this Tab Tutor program. With step-by-step instruction and an illustrated glossary, it will show you how to find the foci, vertices, minor axis, and asymptotes from the equation and vice versa.
Spectrum Algebra, Grades 6-8 (Resource Book Only) eBook Grade 6\|Grade 7\|Grade 8 Spectrum Algebra Grades 6-8 helps young learners improve and strengthen their math skills, such as equations and inequalities, functions and graphing, and rational numbers. The best-selling SpectrumT series provides standards-based exercises developed to supplement and solidify the skills students learn in school. Each full-color title includes an answer key.
Review of representation of natural numbers, integers, rational numbers on the number line.Representation of terminating/non-terminating recurring decimals, on the number line throughsuccessive magnification. Rational numbers as recurring/terminating decimals.Examples of nonrecurring/non terminating decimals such as 2,3,5 etc. Existence of non-rational numbers (irrational numbers) such as 2,3 and their representation on the number line.Explaining that every real number is represented by a unique point on the number line and conversely,every point on the number line represents a unique real number.Existence of Definition of a polynomial in one variable, its coefficients, with examples and counter examples, itsterms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials;monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial / equation. Stateand motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of ax 2 + bx + c , a ≠ 0 where a , b , c are real numbers, and of cubicpolynomials using the Factor Theorem. Recall of algebraic expressions and identities. Furtheridentities of the type ( x + y + z ) 2 = x 2 + y 2 + z 2 + 2 xy + 2 yz + 2 zx , ( x ± y ) 3 = x 3 ± y 3 ± 3 xy ( x ± y ). x 3 + y 3 + z 3 — 3 xyz = ( x + y + z ) ( x 2 + y 2 + z 2 — xy — yz — zx ) and their use in factorization of polynomials. Simple expressions reducible to these polynomials. 2. LINEAR EQUATIONS IN TWO VARIABLES (12) Periods Recall of linear equations in one variable. Introduction to the equation in two variables. Prove that alinear equation in two variables has infinitely many solutions and justify their being written as orderedpairs of real numbers, plotting them and showing that they seem to lie on a line. Examples, problemsfrom real life, including problems on Ratio and Proportion and with algebraic and graphical solutionsbeing done simultaneously. UNIT III: COORDINATE GEOMETRY1. COORDINATE GEOMETRY (9) Periods The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane,notations, plotting points in the plane, graph of linear equations as examples; focus on linear equationsof the type ax + by + c = 0 by writing it as y = mx + c and linking with the chapter on linear equationsin two variables. UNIT IV: GEOMETRY1. INTRODUCTION TO EUCLID'S GEOMETRY (6) Periods History - Euclid and geometry in India. Euclid's method of formalizing observed phenomenon intorigorous mathematics with definitions, common/obvious notions, axioms/postulates and theorems.The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationshipbetween axiom and theorem.1. Given two distinct points, there exists one and only one line through them.2.
This work deals with Numerical Algorithms. This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions - sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses... more... This handbook aims to provide a complete overview of modern floating-point arithmetic. This includes a detailed treatment of the current (IEEE-754) and next (preliminarily called IEEE-754R) standards for floating-point arithmetic. more...
Find a Falls ChurchNew concepts include solving quadratic equations and inequalities, exploring conics, investigating polynomials, and applying/using matrices to organize and interpret data. Students will also investigate exponential and logarithmic functions. Chemistry is the science of matter, particularly as i
SP Files - Nate Burchell This website includes GSP files that can be freely downloaded for educational use. The author has used these files in his classes to illustrate certain concepts in Precalculus, AP Statistics, and AP Calculus AB/BC. ...more>> Helmer Aslaksen A mathematics professor at the National University of Singapore. Research involves abstract algebra, including the trigonometry of symmetric spaces, and calculations for the Chinese, Islamic, and Indian calculators. Papers about these topics may be ...more>> High School Homework Highschoolhomework offers homework help in the following subjects - algebra, geometry, trigonometry, calculus, biology, chemistry, physics and economics. ...more>> High School Mathematics - Cem Giray Site contains lecture notes, exams, quizzes, assignments, challenging problems, curricula (in this case meaning topics of study), and olympiad materials of high school level for teachers and students. Some materials are web pages, some are in PDF format, ...more>> High School Math Lessons - Joe Mercer Lessons, worksheets, quizzes, and tests for high school algebra 1, algebra 2, geometry, precalculus, and AP Calculus AB written by a retired math teacher. Some of the resources, composed in SoftChalk's LessonBuilder, include Flash animations or download ...more>> HomeworkSpot - StartSpot Mediaworks, Inc. Designed to help students start homework assignments that require online resources, HomeworkSpot also provides reinforcement activities in a variety of subject areas including mathematics. Math sections provide links organized as general sites, topics, ...more>> Hotmath Tutorial solutions for the odd-numbered homework problems in many U.S. math textbooks, algebra through calculus. A site designed to provide students with help in doing homework directly from their own books, and teachers with a resource to use in the ...more>> Hyperbolic Angle - Robert G. de Boer Exposition of a new presentation of the hyperbolic angle, together with hyperbolic functions sinh x and cosh x. The Cognitive Foundation section explains the rationale for this presentation order. The author writes: "The argument of hyperbolic functions ...more>> iCoachMath.com - HighPoints Learning, Inc. iCoachMath.com coaches students online; and provides teachers with student performance reports, customized test papers, and math resources such as lesson plans aligned to state and national standards. The site freely offers an illustrated dictionary of ...more>> iFigure Links to online calculators and worksheets that provide information to help in planning, solving and making decisions for problems and tasks such as buying a home, investing money, figuring business profits, making statistical comparisons, or calculating ...more>> ILoveMath.org - Shelli Temple ILoveMath.org is a comprehensive site for middle and high school math teachers full of "ready-to-use" lesson plans, worksheets, activities, and more. The site also features an active message board for math teachers to collaborate. ...more>> Infinite Tangents - Ashli Black This "secondary mathematics education podcast for teachers," begun in March, 2013, invites other high school math teachers to respond to prompts such as "How do you start your teaching day?" and "What would you like to get done in the times between classes?" ...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>> The Integrator - Wolfram Research, Inc. A Web interface to Mathematica 3.0. Type in any integral or choose a random sample, and The Integrator sends a Mathematica Link message to a Mathematica kernel, which then does the integral using its built-in Integrate function. The result is sent back ...more>> Intelligent Tutor Math Educational Software, Inc. The programs in the Intelligent Tutor software series contain tutorials designed to help students learn and master Grades 7-12 math subjects. The programs are designed with school versions for use in schools, and home versions for individuals in self-study ...more>> Interactive Tests - Ron Knott Ron Knott has begun producing Mathematics A and AS Level tests for the independent UK curriculum development body, Mathematics in Education and Industry. The web-based format of the tests let you view a problem and then: choose an answer from a multiple ...more>>
Formats Book Description Publication Date: Feb. 15 2007Last year in our homeschool, we switched to "Mastering Essential Math Skills: Middle Grade/High School, and it was the best switch we could have made. Both girls were to the point of dreading math, and after changing to this program, they now looked forward to math class and could make sense of it because of the step-by-step instructions. Great for 7th-8th grades. Our 2nd daughter actually moved from 5th grade to 7th grade because this program was available. 64 of 72 people found the following review helpful 1.0 out of 5 starsNot as advertisedFeb. 17 2007 By Parent - Published on Amazon.com Format:Paperback\|Amazon Verified Purchase I loved the grade 6-8 edition of this book for reviewing math with my daughter. It is an excellent step by step approach to middle school math. This edition is the same book with very little added. It is not "high school" math. I wouldn't call it "Book Two". I was expecting something very different based on the title. Highly recommended for 6-7 grade math practice and review. 16 of 16 people found the following review helpful 4.0 out of 5 starsGood math book, but has typo's.July 17 2007 By The Way - Published on Amazon.com Format:Paperback This book is helping me getting freshed up in math but it contains a few typo's. For example, on page 7 it says there are two #5 problems. There should be obviously one problem #5 and the other is problem #6. Nevertheless, it is a good math book. I just wished it gave more examples on how to actually DO some of the work. 9 of 9 people found the following review helpful 5.0 out of 5 starsWish I'd found this sooner!Nov. 9 2007 By R. Lamb - Published on Amazon.com Format:Paperback This text is so well put together that teaching math seqentially is now a breeze! I wish I'd found this book a couple of years ago. Highly recommend it to those who homeschool or need to brush up on thier own math skills. No need to have a math degree to teach math. Will definitely be purchasing the next book in the series. 7 of 7 people found the following review helpful 5.0 out of 5 starsGreat math bookOct. 11 2012 By R. Mendieta - Published on Amazon.com Format:Paperback\|Amazon Verified Purchase I was using a different book with my grandson, who is in 8th grade. The purpose for us was not reviewing, but mastering and catching up to his grade level. It became obvious he was stuck and frustraded, the other book kept switching around between division, fractions, decimals, etc from page to page. So, I ordered this book that works on a set of math skills in a group. Mastering each set of skills until one is confident with that, then moving on to the next. This is exactly what he needed!
Mathematica is today's most advanced technical computing system, featuring a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility. "The Mathematica GuideBook for Numerics" (text and code fully tailored for Mathematica 5.1) concentrates on Mathematica's numerical mathematics capabilities. The available types of arithmetic (machine, high-precision, and interval) are introduced, discussed, and put to use. Fundamental numerical operations, such as compiling programs, fast Fourier transforms, minimization, numerical solution of equations, ordinary/partial differential equations are analyzed in detail and are applied to a large number of examples in the main text and solutions to the exercises. less
Visualizing Quaternions The Morgan Kaufmann Series in Interactive 3D Technology Author: Andrew J. Hanson Description Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions. Description: Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important?"a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions. Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing. Covers both non-mathematical and mathematical approaches to quaternions. Companion website with an assortment of quaternion utilities and sample code, data sets for the book's illustrations, and Mathematica notebooks with essential algebraic utilities
Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors? teaching experiences, the book... more... An uncommon guide for accomplishing more every day by engaging the unique skill of forgetting, from the creator of the award-winning memory training system Brainetics Is it possible that the answer to becoming a more efficient and effective thinker is learning how to forget? Yes! Mike Byster will show you how mastering this extraordinary ... more... Students of the teaching profession view stochastics as difficult to understand and complex. This book provides a clear, precise, and structured introduction to this material. It includes many descriptive examples, such as games of chance, which help promote understanding. Thus, the textbook is not only an ideal accompaniment to courses as an introduction... more... This book examines the use of algorithmic techniques to compress random and non-random sequential strings found in chains of polymers. The book is an introduction to algorithmic complexity. Examples taken from current research in the polymer sciences will be used for ?compression? of like natured properties as found on a chain of polymers. It reviews... more...One of the key difficulties... more... Risk Analysis in Engineering and Economics is required reading for decision making under conditions of uncertainty. The author describes the fundamental concepts, techniques, and applications of the subject in a style tailored to meet the needs of students and practitioners of engineering, science, economics, and finance. Drawing on his extensive
Elementary / Intermediate Algebra - 4th edition Summary: "Elementary & Intermediate Algebra, 4/e" by Baratto/Bergman is part of the latest offerings in the successful "Streeter-Hutchison Series in Mathematics". The fourth edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra con...show morecepts and put the content in context. The authors use a three-pronged approach (Communication, Pattern Recognition, and Problem Solving) to present the material and stimulate critical thinking skills. Items such as math anxiety boxes, check yourself exercises, and activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student's skills in relating to mathematics. The book is designed for a combined beginning and intermediate algebra course, or it can be used across two courses, and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone. ...show less Shows some signs of wear, and may have some markings on the inside. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy! $10.65 +$3.99 s/h Acceptable bluegrasstexts Murray, KY Acceptable 454546777350123-5-0
Elementary Algebra : Concepts and Application - 7th edition Summary: The goal of Elementary Algebra: Concepts and Applications, 7e is to help today's students learn and retain mathematical concepts by preparing them for the transition from ''skills-oriented'' elementary algebra courses to more ''concept-oriented'' college-level mathematics courses, as well as to make the transition from ''skill'' to ''application.'' This edition continues to bring your students a best-selling text that incorporates the five-step problem-solving process...show more ...show less Exponents and Their Properties Polynomials Addition and Subtraction of Polynomials Multiplication of Polynomials Special Products Polynomials in Several Variables Division of Polynomials Negative Exponents and Scientific Notation Systems of Equations and Graphing Systems of Equations and Substitution Systems of Equations and Elimination More Applications Using Systems Linear Inequalities in Two Variables Systems of Linear Inequalities Direct and Inverse Variation
pro... read more Mathematics and the Physical World by Morris Kline Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena. Regular Polytopes by H. S. M. Coxeter Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition properties of the triangle and the quadrilateral; equations, sub-multiple angles, and inverse functions; hyperbolic, logarithmic, and exponential functions; and expansions in power-series. Further topics encompass the special hyperbolic functions; projection and finite series; complex numbers; de Moivre's theorem and its applications; one- and many-valued functions of a complex variable; and roots of equations. 1930 edition. 79 figures
More About This Textbook Overview This new edition of a proven text offers systematic, concise, easy-to-understand explanations for these basic structures of abstract algebra suitable for self-study. Revised and refined to be accessible even to readers with only rudimentary college algebra, the Second Edition carefully balances coverage of groups, rings, and fields and uses real-world problems to illustrate the theory. An ideal resource for scientists and engineers as well as students preparing for the algebra qualifying examinations, Introduction to Abstract Algebra, Second Edition presents an array of features. Editorial Reviews Booknews Nicholson (mathematics, University of Calgary) introduces the basic structures of abstract in algebra<-->groups, rings and fields<-->in his textbook for a one- or two-semester course for undergraduates. The second edition has been revised to be accessible to students with only rudimentary college algebra. Annotation c. Book News, Inc., Portland, OR (booknews.com) From the Publisher "For those seeking a sound introduction to abstract algebra, or a handbook on the basic ideas, this third edition of Nicholson's book is highly recommended." (MAA Reviews, April 13, 2007) "…an expository masterpiece of highest didactic value which has gained additional attractivity through the various improvements…(ZentralblattMATH, 1107,1) Product Details Related Subjects Meet the Author W. KEITH NICHOLSON, PhD, is a Professor in the Department of Mathematics and Statistics at the University of Calgary in Alberta, Canada. Dr. Nicholson has published numerous textbooks and monographs throughout his career. He received his PhD in Pure Mathematics from the University of California at Santa Barbara, and his current research interests include clean rings, morphic rings, and module
Find a Mount Berry Algebra 2Basically I teach the topics through doing the related problem exercises. Isaac Newton said "an example is worth a thousand precepts" and it is very true, you don't understand the theory until you can use it to solve tangible problems. In practice this means focusing on a problem set taken from
This is the free version of "Function Plotter". Completely free and without advertisements.This app, is able to draw multiple function graphs, calculate function values and value tables. It's also possible to integrate functions numerically.The following mathematical functions are available:polynomials, rational functions, trigonometric functions, inverse trigonometric functions, hyperbolic functions, natural logarithm, exponential function and all the possible combinations of
Survey of Mathematics with Applications 9780321501325 ISBN: 0321501322 Pub Date: 2007 Publisher: Pearson Summary: This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the soci...al sciences, business, nursing and allied health fields. Let us introduce you to the practical, interesting, accessible, and powerful world of mathematics today-the world of "A Survey of Mathematics with Applications, "Expanded 8e,"" Angel, Allen R. is the author of Survey of Mathematics with Applications, published 2007 under ISBN 9780321501325 and 0321501322. Twenty seven Survey of Mathematics with Applications textbooks are available for sale on ValoreBooks.com, fifteen used from the cheapest price of $1.50, or buy new starting at $28.58.[read more
Book DescriptionMore About the Author Product Description Book Description Practice exercises with answers, explanations and advice from an expert in psychometrics, that are directly relevant to many of the tests used by employers to recruit managers and graduates. About the Author Mike Bryon is an expert in psychometrics and training solutions. He is the author of The Advanced Numeracy Test Workbook, The Graduate Psychometric Test Workbook, How to Pass the Civil Service Qualifying Tests, The Numeracy Test Workbook and How to Pass Advanced Numeracy Tests, and co-author of How to Pass Selection Tests and How to Pass Technical Selection Tests, all published by Kogan Page. This isn't bad but depending on what you're going for you might find quite a chunk of it isn't relevant. The numerical section, while providing some good tests, is flawed. It skims over certain topics and also assumes an at least intermediate knowledge of maths, it also focusses more on non-calculator based tests, which I have found to be rare in practice. There are also definitely some mistakes, even where an explanation is provided there are some which do not match up at all. This book is very helpful when trying to prepare for numerical tests. Keywords, equations etc are well explained, however some solutions are not well explained. Therefore it can take a bit of time to follow the author's steps, obviously this is dependent on your current mathematical ability. All in all, a good book to have to brush up on some vital skills. All in all an adequate product. It does pretty much what it says on the tin. However when trying to fine tune arithmetic techniques, and using practice tests with answers provided against which to check your work, it is embolism-enducingly, counterproductive for there to be ubiquitous errors both in the questions themselves and the answers. These mistakes range from simple punctuation errors, such as the omission of a space in between figures (leading you to believe that it is all one big number), integers amalgamated into fractions or at worst key, salient information such as % in a pie chart being entirely left out and then asking questions based on the % that should be there. Sadly some very lackluster editing or proof-reading of this book lets the product down. Caveat emptor is hardly practicable here. Word of advice, if you get an answer that seems wildly different from the answer printed, or if a question seems literally impossible, it is probably not your mathematical ability that is at fault, it's most likely the book.
Mathematics How do you determine the amount of fuel needed to fly a jet? What's the best use of resources in the armed forces? How do you tile a sphere with squares? Mathematics provides the key. If you enjoy problem solving and thrive on logic, then studying mathematics will really appeal to you. As one of the most fundamental and universal subjects, it helps you to think clearly, process information accurately, and analyse and communicate complex ideas. OU study can equip you with the basic toolkit of mathematical ideas and methods, and offers specialist courses and qualifications in pure and applied mathematics that build on this foundation. You'll find that an ability to understand mathematical concepts and manipulate numbers is useful in almost any situation or job. And a mathematics degree is highly regarded by employers, opening doors to a host of career choices, especially in engineering, finance, teaching, ICT and scientific research. Degrees ( More about Degrees More about Degrees undergraduate.qualification.mathematics,qualification,,degree,1) Computing & IT and a second subject With this flexible joint honours degree specialise in computing & IT and combine it with a second subject: business, design, mathematics, psychology or statistics. Economics and Mathematical Sciences You'll gain a good grounding in a broad range of mathematical, statistical and computational skills as well as an understanding of economic theory and issues. Mathematics Gain a secure understanding of mathematics with this degree that looks at topics in mathematics, from pure mathematics to how mathematics is used in the real world. Mathematics and its Learning This degree combines the study of mathematics with the theory of the learning and teaching of mathematics. You will get a grounding in pure and applied mathematics, in statistics, and in the teaching and learning of mathematics. Mathematics and Physics You'll gain an understanding of the concepts in modern physics together with the mathematics that underlies them. Open degree The BA/BSc Open Degree is a qualification that gives you a huge choice in terms of subjects and modules that you study to make up your degree. Diplomas of Higher Education ( More about Diplomas of Higher Education More about Diplomas of Higher Education undergraduate.qualification.mathematics,qualification,,diploma-he,1 A Diploma of Higher Education (DipHE) is equivalent to two thirds of an honours degree. They are nationally recognised qualifications focusing either on a particular job or profession, or academic study. DipHEs are designed to increase the professional and technical skills of staff within a profession or extend your knowledge and understanding of a particular subject. A DipHE shows that you are capable of extended study at university level. You can use a DipHE to: change careers or progress your current career gain technical and professional skills gain a greater knowledge and understanding of a subject you are interested in gain professional recognition achieve a full honours degree through additional study. The Diploma of Higher Education might be of particular interest to those living and working in Scotland. Certificates of Higher Education ( More about Certificates of Higher Education More about Certificates of Higher Education A Certificate of Higher Education (CertHE) is a nationally recognised qualification focusing on either a particular job or profession, or academic study. Equivalent to the first year of a full honours degree, they are the most basic level of qualification that can be gained in higher education and show that you are capable of studying successfully at university level. You can use a CertHE to: gain confidence to study successfully at university level change careers or progress your current career build on your existing experience and gain new skills gain a broad introduction to a subject you are interested in achieve a foundation degree, DipHE or full honours degree through additional study.
Secondary Solutions Is your current curriculum adapting to each student's exact needs? Our software solutions do just that. Students develop, learn, and master secondary mathematics at different paces, and educators often need to identify supplemental materials that complement their core instruction with the aim to keep students from falling behind or failing a course or exit exam. All students can achieve proficiency in mathematics with Carnegie Learning Adaptive Math Software Solutions. Our unique solution provides students with highly individualized and self-paced instruction that meets their exact needs to improve their secondary math skillsI am very impressed by the time and dedication teachers have shown to making this program work. Students who would typically sit at a desk doing as little as possible are engaged in math while utilizing this technological program.
Are subjects such as Calculus and Computer Science, Mathematics proper nouns are therefore capitalized? Answers: You wrote them correctly in your first question. Since they are all proper nouns, as a rule, they should always be capitalized. c", QUACK beep boop we no longer have to stress our minds with written math !! go for the un-explored !! no...not string theory ! waste of time !! Calculus and Computer Science, are proper nouns so they should be capitalize. go here, they describe some-thing -like 'Maths teacher', 'Calculus home-work' then they become a Proper noun as they are part of the NAME of that thing. If they are just a word alone like 'I don't like caculus' they can use a lower case or upper case initial letter This article contents is post by this website user, EduQnA.com doesn't promise its accuracy.
Ships From:Secaucus, NJShipping:StandardComments: This book finds the right balance between mathematics and economic examples, providing a text th... [more] This book finds the right balance between mathematics and economic examples, providing a text that is demanding in level and broad ranging in content, whilst remaining accessible and interesting to its target audience. [less]
More About This Textbook Overview This module is intended to help teachers explore methods by which students work with numbers to formulate generalizations about operations. By expanding students understanding of the properties that underlie the number systems introduced in the elementary grades, they will be prepared to think algebraically for success in middle
A lot of information, explained clearly, covers all units Disadvantages: Could have more colour ...When I was studying ALevel Maths it required me to have a lot of textbooks available for studying and most of the time to prepare for exams with. For my exams in Mathematics, I was given the textbook Edexcel AS and A Level Modular Mathematics by Keith Pledger, however if you have to purchase it, they are around as expensive as most textbooks are at £15. I was quite glad that it combined both... ...Being a student I probably use this book more frequently than teachers do and so I believe I am more able to write a 'real' review. This 370-page book aims to cover all aspects of the A-level IT course. The book is presented well with short paragraphs and bullet point used to outline key points. The book consists of five sections, in total 71 chapters. The aim of using so many chapters is to...
Subject: Mathematics (8 - 12) Title: Penny Drop That Thang! Description: This lesson is designed to introduce and extend students' knowledge on slope and linear equations. Students will be able to differentiate finding the slope to creating a linear equation. This is a College- and Career-Ready Standards showcase lesson plan. Subject: Mathematics (9 - 12) Title: Systems of Linear Inequalities Project Description: The systems of linear inequalities project was designed to be used in an Algebra IB class after a preliminary lesson on systems of linear inequalities. The project is to be graded per group based on the work completed and presentation to the class. Each group is required to use a graphing calculator in its presentation.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation. Subject: Mathematics (8 - 12) Title: Systems of Equations: What Method Do You Prefer? Description: The purpose of this lesson is to help students apply math concepts of solving systems of equations to real life situations. The students will use the three methods of graphing, substitution, and elimination to solve the system of equations.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation. Thinkfinity Lesson Plans Subject: Mathematics,Science Title: Shedding the LightAdd Bookmark

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