Math 2500 covers the extension of differential and integral calculus to problems with several variables, including the geometry of euclidean space and vectors and the calculus of vector fields and flows. This is a fast-paced, intensive course with plenty of challenging material. However, the mathematics you learn is deeply beautiful and interesting, and it carries the application of calculus to a much wider and more realistic set of problems (very few actual applications have only one variable).
During Fall semester 2010, I am teaching this course in Boyd 323 on Monday, Wednesday, and Friday at 9:05-9:55. Our office hours (in Boyd 448) will be Monday 2:30-4:30 and Wednesday 2:30-3:30. The final is on Monday December 13 at 8 am.
Our book is Hass, Weir, Thomas: University Calculus, which is available from Amazon or in the University bookstore.
The course homework is found here. You may encounter a browser error when you first visit the site, since our security certificate is not standard. It is ok to create an exception (in Firefox) or “continue to site”; in Safari or Explorer. If you still have trouble doing this, please email help (at) math.uga.edu.
Online course materials:
- Syllabus The 2500 syllabus (pdf)
- Practice Exams
- Course Lecture Notes 1-3 (pdf)
- Course Lecture Notes 4-6 (pdf)
- Circle of Curvature Demonstration (playable)
- Level Curve Demonstration
- Level Surface Demonstration
- Single Variable Epsilon-Delta Demonstration (playable)
- Multivariable Limit Demonstration (playable)
- Directional Derivatives (playable)
- Directional Derivatives in 3d (playable)
- Tangent to a surface (playable)