Learning by Discovery
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.
- Contains lab modules for calculus teachers
- Has suggestions for computer implementation using Derive, Maple and MATHEMATICA ®.
Reviews & endorsements
'The questions are interesting and challenging, yet well within the abilities of the average student.' Educational Book Review
Product details
November 1996Paperback
9780883850831
171 pages
280 × 216 × 11 mm
0.424kg
This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
- 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.