Calculus Projects Using Mathematica / Edition 1

Calculus Projects Using Mathematica / Edition 1

by Alfred D. Andrew
     
 

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ISBN-10: 0070017905

ISBN-13: 9780070017900

Pub. Date: 01/01/1996

Publisher: McGraw-Hill Higher Education

This book contains the Mathematica-based projects used in calculus at the Georgia Institute of Technology. Among the authors interests when writing these projects were to capture student interest through projects closely tied to their mathematics, science, and engineering curricula.
This book will enable students to demonstrate the applicability and effectiveness

Overview

This book contains the Mathematica-based projects used in calculus at the Georgia Institute of Technology. Among the authors interests when writing these projects were to capture student interest through projects closely tied to their mathematics, science, and engineering curricula.
This book will enable students to demonstrate the applicability and effectiveness of mathematics in solving clearly relevant applied problems. Computing is used not as a gimmick, but as a genuine tool on problems where it really helps.
In this book, students will use calculus to understand the formation of rainbows, to study the flight of a baseball, to design some electrical circuits, to analyze an amusement park ride, to explain the reflections of a coffee cup, to design a rotary engine, and to solve many other interesting scientific problems.

Product Details

ISBN-13:
9780070017900
Publisher:
McGraw-Hill Higher Education
Publication date:
01/01/1996
Pages:
200
Product dimensions:
8.00(w) x 10.00(h) x 0.45(d)

Table of Contents

A MATHEMATICA PRIMER
SAMPLE PROJECT - The Green Monster in Fenway Park: the flight of a baseball, modeled without friction
SOLUTION TO SAMPLE PROJECT - The Green Monster
PROJECT 1 - Working with Functions and Graphs
An Introduction to Mathematica
Basic Operations with Functions
PROJECT 2 - Reflections on Differentiation
An Introduction to Mathematica
Applications of the Derivative to Reflection of Light
PROJECT 3 - The Brightness of Venus
A Maximization Problem: When Does Venus Appear Brightest from Earth?
PROJECT 4 - Optimization
Several Maximization and Minimization Problems
PROJECT 5 - The Arithmetic Mean: Geometric Mean Inequality
Optimization without Calculus
PROJECT 6 - Curves in Polar Coordinates
Polar Plotting with Mathematica
The Orbits of Neptune and Pluto
PROJECT 7 - Definite Integrals and Antiderivatives
An Introduction to Mathematica
Graphical Description of Riemann Sums
Acceleration, Velocity, and Distance Traveled
(and more...)

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