Learning by discovery : a lab manual for calculus
Anita E. Solow, editor ; writing team, John B. Fink ... [et al.].
[Washington, D.C.] : Mathematical Association of America, [©1993]
xiii, 165 págs. : ilustraciones ; 28 cm.
Serie: Resources for calculus collection ; v. 1aMAA notes ; v. 27
ISBN: 0883850834
Contenido
- 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.
