Learning by Discovery: A Lab Manual for Calculus: 1 - Brossura

Brossura

ISBN 10: 0883850834 ISBN 13: 9780883850831

Casa editrice: The Mathematical Association of America, 1996

Riassunto

Learning By Discovery contains 26 laboratory modules that can be used as lab components in your course, or assigned as independent projects. The labs are written without specific computer commands, so students read mathematics, not text. Suggestions are provided for implementing these labs on Derive, Maple and MATHEMATICA ®. Many can be done on graphing calculators.

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Recensione

'The questions are interesting and challenging, yet well within the abilities of the average student.' Educational Book Review

Contenuti

1. Graphing functions; 2. Introduction to limits of functions; 3. Zooming in; 4. Discovering the derivative; 5. Investigating the intermediate value theorem; 6. Relationship between a function and its derivative; 7. Linking up with the chain rule; 8. Sensitivity analysis; 9. Newton's method; 10. Indeterminate limits and l'Hôpital's Rule; 11. Riemann sums and the definite integral; 12. Area functions; 13. Average value of a function; 14. Arc length; 15. A mystery function; 16. Exploring exponentials; 17. Patterns of integrals; 18. Numerical integration; 19. Becoming secure with sequences; 20. Getting serious about series; 21. Limit comparison test; 22. Approximate functions by polynomials; 23. Radius of convergence for power series; 24. Polar equations; 25. Differential equations and Euler's method; 26. Shapes of surfaces; Syllabi for calculus I and II.

Dettagli dell?edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 1996
• ISBN 10: 0883850834
• ISBN 13: 9780883850831
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 171
• Redattore: Solow Anita E.