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
- (6/17/99)
Chapter 1: Inequalities
- (6/19/99)
Chapter 1: Sets in Euclidean Space
- (6/25/99)
Chapter 1: Continuous Functions
- (6/25/99)
Chapter 2: Definition of Derivative
- (6/28/99)
Chapter 2: Differentiation Rules
- (7/2/99)
Chapter 2: Partial Derivatives
- (7/2/99)
Chapter 2: Derivatives
- (7/2/99)
Chapter 2: Inverse Function Theorem
- (7/2/99)
Chapter 2: Implicit Function Theorem
- (7/12/99)
Chapter 3: Upper and Lower Sums
- (7/12/99)
Chapter 3: Sets of Measure Zero
- (7/12/99)
Chapter 3: Integrable Functions
- (7/20/99)
Chapter 3: Fubini's Theorem
- (7/20/99)
Chapter 3: Partitions of Unity
- (7/20/99)
Chapter 3: Change of Variables
- (7/20/99)
Chapter 4: Tensors
- (7/26/99)
Chapter 4: K-forms
- (7/26/99)
Chapter 4: Chains
- (8/4/99)
Chapter 4: Stokes' Theorem
- (8/4/99)
Chapter 5: Manifolds
- (8/4/99)
Chapter 5: Forms on Manifolds
- (8/4/99)
Chapter 5: Stokes' Theorem
- (8/4/99)
Chapter 5: Surface Area
- (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.
- (6/11/99)
Lecture 1: Real Numbers
- (6/14/99)
Lecture 2: Compact Sets and Continuous Functions
- (6/19/99)
Lecture 3: Derivatives
- (6/29/99)
Lecture 4: Inverse
Function Theorem
- (7/08/99)
Lecture 5: Integrals
- (7/13/99)
Lecture 7: Differential Forms
- (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/