Calculus of One and Several Variables

Maple7 is available for students, and installation instructions have been posted on the department's software web page.

You can learn a lot about Maple by reading its help... Learning Maple is not a requirement for the class, and you can obtain maximum scores and achieve complete understanding of the material without ever using this software. Such type of knowledge may ease a bit your life in Math 8, or may come handy with other occasions during your study years. I encourage you to get familiar with Maple.

Here is the link to a comprehensive introduction to Maple.

• dfield and pplane, the Java versions

  The above contains Java applets that generate direction fields for first order differential equations and phase portraits for systems of equations, respectively.
  Author: John C. Polking, Rice University, Houston, TX.

Finally, below are some graphs that I have obtained, using Maple, when I prepared the lectures for our class. Feel free to cut-and-paste any Maple command contained in the files, and use them to start learning how to work with Maple.
 
 

March 26, 2003	Introduction to differential equations; Direction fields
March 26a, 2003	On a homework problem
March 28, 2003	More about direction fields; A mixing problem
Problem 18, page 628	Another comment on direction fields: the solution of Problem 18, page 628
April 21, 2003	Taylor series and approximation by Taylor polynomials
May 7, 2003	Graphing space curves
May 12, 2003	Graphing functions of several variables
May 14, 2003	Limits of functions of two variables
May 19, 2003	Geometric significance of partial derivatives
May 21, 2003	Gradients: fundamental properties (drawn with Mathematica)
May 23, 2003	The gradient, the level curves and the graph (drawn with Mathematica)
May 23, 2003	A function with no critical points