Learning by Discovery: A Lab Manual for Calculus (Classroom Resource Materials)
By: Anita E. Solow (editor)Paperback
More than 4 weeks availability
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 (R). Many can be done on graphing calculators.
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'Hopital'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.
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- ID: 9780883850831
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