Calculus Projects with Maple
2nd Edition
Published on 1. January 1996
Book
Paperback/Softback
144 pages
978-0-534-23748-6 (ISBN)
Description
This text offers students an introduction to calculus through technology. The authors teach students to use calculus as a problem-solving tool and help them develop a facility for employing the computer as an aid in experimentation. This is a book of laboratory investigations; it is neither a set of homework exercises nor a collection of "work sheets." Each session requires preparation by both the student and the instructor. The instructor will need to offer initial direction and students need to prepare for each laboratory just as in a chemistry or physics laboratory session.
More details
Edition
2nd edition
Language
English
Place of publication
CA
United States
Publishing group
Cengage Learning, Inc
Target group
College/higher education
Illustrations
index
Dimensions
Height: 235 mm
Width: 189 mm
Weight
431 gr
ISBN-13
978-0-534-23748-6 (9780534237486)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Content
Part I Single Variable Calculus: 1. Using Maple to Solve Algebra Problems. 2. Slopes of Functions. 3. Graphs of Polynomial Functions. 4. Approximating Zeroes of Functions. 5. Euler's Method and Sky Diving. 6. A Simple Growth Model. 7. Rational Functions. 8. Applied Optimization: The Otsego Electric Company. 9. Summations: Finite and Infinite. 10. Riemann Sums and Monotone Functions. 11. Quadratic Splines or Connect the Dots. 12. Planar Projectiles. 13. Pi and Monte Carlo (leading to integration). Part II Multivariable Calculus: 14. Remembrance of Things Past. 15. The Catenary: An Application. 16. Summations and Inductive Verification. 17. Taylor Polynomials and Convergence. 18. Lagrange Interpolation and Goodness of Fit. 19. Difference Equations as Models of Differential Equations. 20. Polar Co-ordinates I. 21. Polar Co-ordinates II. 22. Iterated Integrals. 23. Least Squares. 24. Parametric Surfaces and Plotting. 25. Gradient Search. 26. Multivariable Taylor. 27. Cycloids. 28. Fourier Series and Wavelets. 29. Koch Snowflake. 30. From Surveying to Green's Theorem. Appendix I: Quick Reference Guide. Principles of Good Writing. Appendix II: Sample Syllabi. Sample Grading Criteria. Pedagogical Notes.