pulskamp@xavier.xu.edu
Worksheet 1. Introduction to Maple
Worksheet 2. The Absolute Value Function
Worksheet 3. Limits
Worksheet 4. Secants and Tangents
Worksheet 5. Difference Quotients and the Derivative
Worksheet 6. Implicit Functions and Differentiation
Worksheet 7. Linear Approximations
Worksheet 8. Relative Extrema
Worksheet 9. Zeros of Functions
A procedure to implement Newton's method for computation of zeros is available as the worksheet Newton.
Worksheet 10. Riemann Sums
Worksheet 11. Numerical Integration I
Worksheet 12. Numerical Integration II
Worksheet 13. Solids of Revolution. This needs the Calcplot Package! See note below.
Worksheet 14. Arc Length. This needs the Calcplot Package! See note below.
Worksheet 15. Curvature
Worksheet 16. Analyzing Rational Functions and Solutions of Inequalities
Worksheet 17. Implicit functions and inverses
Worksheet 18. Exponential growth and decay.
Worksheet 19. Methods of Integration I: Substitution
Worksheet 20. Methods of Integration II: Integration by Parts
Worksheet 21. Methods of Integration III: Partial fractions
Worksheet 22. Patterns of Integrals
Worksheet 23. Improper Integrals
Worksheet 24. Sequences
Worksheet 25. The Integral Test for Convergence
Worksheet 26. Taylor and Maclaurin Polynomials
Worksheet 27. The Conics
Worksheet 28. Parametric Plane Curves. You may wish to visit the MacTutor History of Mathematics archive's Index of famous curves. Here many of the curves discussed in the worksheet may be studied in greater detail in a Java applet. Here is a short worksheet which contains two procedures which are useful for the study of arclength. Here is an HTML document illustrating the construction of a cycloid.
Worksheet 29. Classical Polar Curves. Here is a brief worksheet which permits experimentation with realtime plotting of polar functions. Polaranimation. If Maple is not available, here is an HTML document for Polar curves.
Worksheet 30. Kepler's Laws and Planetary Orbits.
Worksheet 31. Parallel Curves
Tim Murdock's Calcplot Package is available in two versions modified to function under Maple V Release 4 and for Maple V Release 5. There is a Maple worksheet to accompany the package which describes each of the functions in the package and also gives examples of their usage. This worksheet is called calchelp.
Questions and comments are welcome.