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Book Titles
Calculus: A Computer Algebra Approach
 Hardcover |
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Calculus: A Computer Algebra Approach, 2nd Edition |
ISBN: 1-57146-038-1
Year Published: 1996
Pages: 642 pages
Binding: Hardcover
List Price: $45.00
Solution Manual
ISBN: 1-57146-039-X, 225 pages, Softcover List Price: $25.00 (purchased separately)
Textbook with Manual, $60.00 |
Description:
The advent of highly accessible computer algebra systems and very sophisticated calculators has led educators to reevaluate how calculus should be taught. Uniquely designed for use with computer algebra systems and sophisticated calculators, this course also works well with a computer laboratory. The students are encouraged to use technology for manual computation while they rapidly progress through the concepts of differential and integral calculus, mathematical modeling and optimization, ordinary differential equations, differential calculus for vector valued and multi-variable functions. The students will progress to vector geometry and coordinate systems, two and three dimensional graphical display, multiple integration, vector fields and line integrals, and on to Fourier series and the Fourier expansion theorem.
Contents:
1. What is Calculus?
2. Functions and their Graphs
3. The Algebra of Functions
4. Lines, Circles, and Curves: a Review
5. Limits and Continuity
6. The Derivative
7. Basic Applications of the Derivative
8. The Rules of Calculus
9. Implicitly Defined Functions and their Derivatives
10.The Maxima and Minima of Functions
11.Classical Optimization Theory
12.Graphing Functions
13.Asymptotes
14.The Integral as Area
15.Sums, Induction, and Computation of Integrals
16.The Integral as an Antiderivative
17.Basic Applications of the Integral
18.Further Topics on Integration
19.Infinite Series
20.Taylor Series
21.Vectors in Two and Three Dimensions
22.Two and Three Dimensional Graphics
23.Calculus of Vector Valued Functions
24.Functions of Several Variables
25.Multidimensional Optimization
26.Double Integrals
27.Triple Integrals
28.Vector Fields and Line Integrals
29.Surface Integrals
30.Differential Forms: An Overview
31.Fourier Series
Authors:
I. Anshel and D. Goldfeld
To Order:
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