Exploring Calculus

Labs and Projects with Mathematica

Author: Crista Arangala,Karen A. Yokley

Publisher: CRC Press

ISBN: 1498771068

Category: Mathematics

Page: 172

View: 7189

This text is meant to be a hands-on lab manual that can be used in class every day to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way.

Mathematical Modeling

Branching Beyond Calculus

Author: Crista Arangala,Nicolas S. Luke,Karen A. Yokley

Publisher: CRC Press

ISBN: 1498771033

Category: Mathematics

Page: 304

View: 9538

Mathematical Modeling: Branching Beyond Calculus reveals the versatility of mathematical modeling. The authors present the subject in an attractive manner and flexibley manner. Students will discover that the topic not only focuses on math, but biology, engineering, and both social and physical sciences. The book is written in a way to meet the needs of any modeling course. Each chapter includes examples, exercises, and projects offering opportunities for more in-depth investigations into the world of mathematical models. The authors encourage students to approach the models from various angles while creating a more complete understanding. The assortment of disciplines covered within the book and its flexible structure produce an intriguing and promising foundation for any mathematical modeling course or for self-study.

Exploring Linear Algebra

Labs and Projects with Mathematica ®

Author: Crista Arangala

Publisher: CRC Press

ISBN: 1482241498

Category: Mathematics

Page: 151

View: 4324

Exploring Linear Algebra: Labs and Projects with Mathematica® is a hands-on lab manual for daily use in the classroom. Each lab includes exercises, theorems, and problems that guide your students on an exploration of linear algebra. The exercises section integrates problems, technology, Mathematica® visualization, and Mathematica CDFs, enabling students to discover the theory and applications of linear algebra in a meaningful way. The theorems and problems section presents the theoretical aspects of linear algebra. Students are encouraged to discover the truth of each theorem and problem, to move toward proving (or disproving) each statement, and to present their results to their peers. Each chapter also contains a project set consisting of application-driven projects that emphasize the material in the chapter. Students can use these projects as the basis for further undergraduate research.


Labs for Matlab

Author: Kevin M. O'Connor

Publisher: Jones & Bartlett Learning

ISBN: 9780763734268

Category: Computers

Page: 136

View: 5191

Correlated Directly To Calculus: The Language Of Change, An Engaging New Text By David Cohen And James Henle, This Outstanding Lab Manual Provides Numerous Labs, Projects, And Exercises To Teach Students How To Use MATLAB. Written In A Friendly And Accessible Style, This Is The Ideal Resource For Students To Practice What They've Learned In The Text.

Introduction to Mathematica® with Applications

Author: Marian Mureşan

Publisher: Springer

ISBN: 3319520032

Category: Computers

Page: 265

View: 7506

Starting with an introduction to the numerous features of Mathematica®, this book continues with more complex material. It provides the reader with lots of examples and illustrations of how the benefits of Mathematica® can be used. Composed of eleven chapters, it includes the following: A chapter on several sorting algorithms Functions (planar and solid) with many interesting examples Ordinary differential equations Advantages of Mathematica® dealing with the Pi number The power of Mathematica® working with optimal control problems Introduction to Mathematica® with Applications will appeal to researchers, professors and students requiring a computational tool.

Calculus Using Mathematica

Author: K.D. Stroyan

Publisher: Academic Press

ISBN: 1483267970

Category: Mathematics

Page: 558

View: 578

Calculus Using Mathematica is intended for college students taking a course in calculus. It teaches the basic skills of differentiation and integration and how to use Mathematica, a scientific software language, to perform very elaborate symbolic and numerical computations. This is a set composed of the core text, science and math projects, and computing software for symbolic manipulation and graphics generation. Topics covered in the core text include an introduction on how to get started with the program, the ideas of independent and dependent variables and parameters in the context of some down-to-earth applications, formulation of the main approximation of differential calculus, and discrete dynamical systems. The fundamental theory of integration, analytical vector geometry, and two dimensional linear dynamical systems are elaborated as well. This publication is intended for beginning college students.

CalcLabs with Mathematica

For Stewart's Multivariable Calculus, Concepts and Contexts

Author: N.A

Publisher: Thomson Brooks/Cole

ISBN: 9780534357412

Category: Calculus

Page: 262

View: 9587

A direct continuation to CalcLabs for Mathematica, Single Variable. Contains chapters 8-13 and is for Version 3.0.

Exploring Abstract Algebra With Mathematica®

Author: Allen C. Hibbard,Kenneth Levasseur,Kenneth M. Levasseur

Publisher: Springer Science & Business Media

ISBN: 9780387986197

Category: Computers

Page: 467

View: 2385

This work is intended as an upper-division laboratory supplement for courses in abstract algebra. It consists of several Mathematica packages that the authors have programmed as a foundation with two collections of labs for group theory and ring theory built on this base. Additionally, there is a "users guide" which illustrates the functionality of the underlying code. The lab portion of the book reflects the contents of the Mathematica-based electronic notebooks. Students interact with both the printed and electronic versions of the material in the laboratory, and the students can look up details and reference information in the Users Guide. Exercises occur in the stream of the text of the lab, which provides a context within which to answer. Questions are designed so that they either be written into the electronic notebook, or on paper, whichever the instructor prefers. The notebooks are available for all versions of Mathematica and run across all platforms for which Mathematica exists. Exploring Abstract Algebra with Mathematica is a very timely addition to the undergraduate abstract algebra curriculum. This work is unique, filling a tremendous void in the literature. It offers an environment for studying algebraic structures using Mathematica, to write computer labs in which students can explore the ideas in abstract algebra computationally and visually, and it provides a Users Guide for the data structures and commands of this package. Flexibility of use, and the intention of the authors to make this work highly visual, e.g., with the inclusion of a fullcolor insert of significant algebraic concepts/images, make this publication pedagogically useful to both instructors and students alike. For more information on the underlying software packages, please go to the website

The Linear Algebra Survival Guide

Illustrated with Mathematica

Author: Fred Szabo

Publisher: Academic Press

ISBN: 0124095313

Category: Mathematics

Page: 438

View: 2599

The Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple mathematical manipulations. This resource is therefore a guide to learning the content of Mathematica in a practical way, enabling you to manipulate potential solutions/outcomes, and learn creatively. No starting knowledge of the Mathematica system is required to use the book. Desktop, laptop, web-based versions of Mathematica are available on all major platforms. Mathematica Online for tablet and smartphone systems are also under development and increases the reach of the guide as a general reference, teaching and learning tool. Includes computational oriented information that complements the essential topics in linear algebra. Presents core topics in a simple, straightforward way with examples for exploring computational illustrations, graphics, and displays using Mathematica. Provides numerous examples of short code in the text, which can be modified for use with exercises to develop graphics displays for teaching, learning, and demonstrations.

Computer Science with MATHEMATICA ®

Theory and Practice for Science, Mathematics, and Engineering

Author: Roman E. Maeder

Publisher: Cambridge University Press

ISBN: 9780521663953

Category: Computers

Page: 389

View: 6194

This introductory course shows scientists and engineers how Mathematica can be used to do scientific computations.

Learning by Discovery

A Lab Manual for Calculus

Author: Anita E. Solow

Publisher: Cambridge University Press

ISBN: 9780883850831

Category: Mathematics

Page: 165

View: 4571

This book contains 26 laboratory modules for use in coursework or in independent projects.

Advanced Calculus


Author: Lynn Harold Loomis,Shlomo Sternberg

Publisher: World Scientific Publishing Company

ISBN: 9814583952

Category: Mathematics

Page: 596

View: 2959

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

A Beginner's Guide To Mathematica

Author: David McMahon,Daniel M. Topa

Publisher: CRC Press

ISBN: 9781420010398

Category: Mathematics

Page: 736

View: 9170

Because of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch -- or find answers to specific questions -- one can be quickly overwhelmed. A Beginner's Guide to Mathematica offers a simple, step-by-step approach to help math-savvy newcomers build the skills needed to use the software in practice. Concise and easy to use, this book teaches by example and points out potential pitfalls along the way. The presentation starts with simple problems and discusses multiple solution paths, ranging from basic to elegant, to gradually introduce the Mathematica toolkit. More challenging and eventually cutting-edge problems follow. The authors place high value on notebook and file system organization, cross-platform capabilities, and data reading and writing. The text features an array of error messages you will likely encounter and clearly describes how to deal with those situations. While it is by no means exhaustive, this book offers a non-threatening introduction to Mathematica that will teach you the aspects needed for many practical applications, get you started on performing specific, relatively simple tasks, and enable you to build on this experience and move on to more real-world problems.

Multivariable Calculus with MATLAB®

With Applications to Geometry and Physics

Author: Ronald L. Lipsman,Jonathan M. Rosenberg

Publisher: Springer

ISBN: 331965070X

Category: Mathematics

Page: 276

View: 9699

This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB® brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLAB®, relevant plots, integration, and optimization, the numerous problem sets encourage practice with newly learned skills that cultivate the reader’s understanding of the material. Significant examples illustrate each topic, and fundamental physical applications such as Kepler’s Law, electromagnetism, fluid flow, and energy estimation are brought to prominent position. Perfect for use as a supplement to any standard multivariable calculus text, a “mathematical methods in physics or engineering” class, for independent study, or even as the class text in an “honors” multivariable calculus course, this textbook will appeal to mathematics, engineering, and physical science students. MATLAB® is tightly integrated into every portion of this book, and its graphical capabilities are used to present vibrant pictures of curves and surfaces. Readers benefit from the deep connections made between mathematics and science while learning more about the intrinsic geometry of curves and surfaces. With serious yet elementary explanation of various numerical algorithms, this textbook enlivens the teaching of multivariable calculus and mathematical methods courses for scientists and engineers.

Encyclopedia of Mathematics

Author: James Stuart Tanton

Publisher: Infobase Publishing

ISBN: 1438110081

Category: Mathematics

Page: 577

View: 5705

Encyclopedia of Mathematics is a comprehensive one-volume encyclopedia designed for high school through early college students. More than 1,000 entries, numerous essays, and more than 125 photographs and illustrations cover the principal areas and issues that characterize this "new" area of science. This valuable resource unites disparate ideas and provides the meaning, history, context, and relevance behind each one. The easy-to-use format makes finding straightforward and natural answers to questions within arithmetic simple. Encyclopedia of Mathematics also gives historical context to mathematical concepts, with entries discussing ancient Arabic, Babylonian, Chinese, Egyptian, Greek, Hindu, and Mayan mathematics, as well as entries providing biographical descriptions of important people in the development of mathematics.
Technology & Engineering

An Engineer's Guide to Mathematica

Author: Edward B. Magrab

Publisher: John Wiley & Sons

ISBN: 1118821254

Category: Technology & Engineering

Page: 456

View: 816

Free Mathematica 10 Update Included! Now available from Updated material includes: - Creating regions and volumes of arbitrary shape and determining their properties: arc length, area, centroid, and area moment of inertia - Performing integrations, solving equations, and determining the maximum and minimum values over regions of arbitrary shape - Solving numerically a class of linear second order partial differential equations in regions of arbitrary shape using finite elements An Engineer's Guide to Mathematica enables the reader to attain the skills to create Mathematica 9 programs that solve a wide range of engineering problems and that display the results with annotated graphics. This book can be used to learn Mathematica, as a companion to engineering texts, and also as a reference for obtaining numerical and symbolic solutions to a wide range of engineering topics. The material is presented in an engineering context and the creation of interactive graphics is emphasized. The first part of the book introduces Mathematica's syntax and commands useful in solving engineering problems. Tables are used extensively to illustrate families of commands and the effects that different options have on their output. From these tables, one can easily determine which options will satisfy one's current needs. The order of the material is introduced so that the engineering applicability of the examples increases as one progresses through the chapters. The second part of the book obtains solutions to representative classes of problems in a wide range of engineering specialties. Here, the majority of the solutions are presented as interactive graphics so that the results can be explored parametrically. Key features: Material is based on Mathematica 9 Presents over 85 examples on a wide range of engineering topics, including vibrations, controls, fluids, heat transfer, structures, statistics, engineering mathematics, and optimization Each chapter contains a summary table of the Mathematica commands used for ease of reference Includes a table of applications summarizing all of the engineering examples presented. Accompanied by a website containing Mathematica notebooks of all the numbered examples An Engineer's Guide to Mathematica is a must-have reference for practitioners, and graduate and undergraduate students who want to learn how to solve engineering problems with Mathematica.
Business & Economics

Mathematica for Microeconomics

Learning by Example

Author: John Robert Stinespring

Publisher: Gulf Professional Publishing

ISBN: 9780126709612

Category: Business & Economics

Page: 222

View: 1846

Mathematica is the most widely available computational program available to potential buyers of the book. Mathematica for Microeconomics focuses on teaching economics, not computer programming and that it devotes some space to solving equations "by hand." The author has made sure that the book is compatible with the most frequently used microeconomics textbooks on the market today. This book is designed as a supplemental tool for courses in microeconomics and mathematical economics. It shows professors and students steps to solving microeconomics problems. Readers may begin reading at any chapter, and they may use the book as a "virtual instructor" to facilitate self-learning. They will recognize some of the popular problems, which have been taken from widely-used microeconomics texts. Also included is a CD-ROM containing the Mathematica® MathReader (a viewing program similar to Adobe Acrobat) and folders specific to each chapter of the book. This book emphasizes economics over mathematics as it: * Presents applications of the mathematics required to solve microeconomics problems * Demonstrates the use of computational tools to do mathematics * Provides discussions of the results of the problems * Stimulates users to extend the programs and perform their own comparative statics and dynamics * Provides users with tools to build their own Mathematica programs for microeconomics

Handbook of Mathematical Functions

with Formulas, Graphs, and Mathematical Tables

Author: Milton Abramowitz,Irene A. Stegun

Publisher: Courier Corporation

ISBN: 0486158241

Category: Mathematics

Page: 1046

View: 8582

A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.

Mathematica®: A Problem-Centered Approach

Author: Roozbeh Hazrat

Publisher: Springer

ISBN: 3319275852

Category: Computers

Page: 318

View: 3268

This textbook introduces the vast array of features and powerful mathematical functions of Mathematica using a multitude of clearly presented examples and worked-out problems. Each section starts with a description of a new topic and some basic examples. The author then demonstrates the use of new commands through three categories of problems - the first category highlights those essential parts of the text that demonstrate the use of new commands in Mathematica whilst solving each problem presented; - the second comprises problems that further demonstrate the use of commands previously introduced to tackle different situations; and - the third presents more challenging problems for further study. The intention is to enable the reader to learn from the codes, thus avoiding long and exhausting explanations. While based on a computer algebra course taught to undergraduate students of mathematics, science, engineering and finance, the book also includes chapters on calculus and solving equations, and graphics, thus covering all the basic topics in Mathematica. With its strong focus upon programming and problem solving, and an emphasis on using numerical problems that do not need any particular background in mathematics, this book is also ideal for self-study and as an introduction to researchers who wish to use Mathematica as a computational tool. This new edition has been extensively revised and updated, and includes new chapters with problems and worked examples.