# MA-570 Summer 1999

Announcement (8/4/99)

Solutions for the rest of Chapter 4 and Chapter 5 are available.

General Information

This is a multivariate calculus course - taught at a graduate level. You can find general information about the course in the syllabus. This page will be updated regularly during the semester as additional materials and information become available. For further information, contact the instructor at ken@ms.uky.edu.

A class roll with e-mail addresses is available.

Examinations
Midsemester Examination
Final Examination (Thursday, August 5, 1999 9:10 - 10:10 P.M.)

Homework and Programming Assignments
1. (6/17/99) Chapter 1: Inequalities
2. (6/19/99) Chapter 1: Sets in Euclidean Space
3. (6/25/99) Chapter 1: Continuous Functions
4. (6/25/99) Chapter 2: Definition of Derivative
5. (6/28/99) Chapter 2: Differentiation Rules
6. (7/2/99) Chapter 2: Partial Derivatives
7. (7/2/99) Chapter 2: Derivatives
8. (7/2/99) Chapter 2: Inverse Function Theorem
9. (7/2/99) Chapter 2: Implicit Function Theorem
10. (7/12/99) Chapter 3: Upper and Lower Sums
11. (7/12/99) Chapter 3: Sets of Measure Zero
12. (7/12/99) Chapter 3: Integrable Functions
13. (7/20/99) Chapter 3: Fubini's Theorem
14. (7/20/99) Chapter 3: Partitions of Unity
15. (7/20/99) Chapter 3: Change of Variables
16. (7/20/99) Chapter 4: Tensors
17. (7/26/99) Chapter 4: K-forms
18. (7/26/99) Chapter 4: Chains
19. (8/4/99) Chapter 4: Stokes' Theorem
20. (8/4/99) Chapter 5: Manifolds
21. (8/4/99) Chapter 5: Forms on Manifolds
22. (8/4/99) Chapter 5: Stokes' Theorem
23. (8/4/99) Chapter 5: Surface Area
24. (8/4/99) Chapter 5: Classical Stokes' Theorems
Lectures and Other Course Materials

When two dates are given, the second date is the date of last change.

1. (6/11/99) Lecture 1: Real Numbers
2. (6/14/99) Lecture 2: Compact Sets and Continuous Functions
3. (6/19/99) Lecture 3: Derivatives
4. (6/29/99) Lecture 4: Inverse Function Theorem
5. (7/08/99) Lecture 5: Integrals
6. (7/13/99) Lecture 7: Differential Forms
7. (7/26/99) Lecture 8: Stokes' Theorem on Manifolds

Revised: Aug 4, 1999
All contents copyright © 1999 K. K. Kubota. All rights reserved
`URL: http://www.ms.uky.edu/~ken/ma570/`