MATH 4120/6120, MULTIVARIABLE ANALYSIS , SPRING 2008, Room 303, Boyd, MWF 11:15-12:05.

Office hours:  WF 1-2:30 and by appointment

This course is an introduction to analysis on manifolds in Euclidean space.  The main topics to be covered are the derivative as a linear map, inverse and implicit function theorems, change of variables in multiple integrals, manifolds, differential forms, and the generalized Stokes' Theorem. 

Text:   Analysis on Manifolds,  by James R.  Munkres,  Westview Press.

Exams and Homework: Homework will be assigned weekly.  There will be two midterm exams and a final exam.

Exams are tentatively scheduled for Friday, February 15 and Friday, April 4. 

The final exam takes place in room 303 Boyd,  on Friday,  May 12,  from noon to 3 pm. 

Click final exams for the complete final exam schedule schedule.

Grading policy:   homework 25%,  midterm exams 20% each,  final exam 35%.
A=excellent,  B=good,  C=satisfactory,  D=marginal pass,  F=Fail

Academic honesty:  Every student must abide by UGA's academic honesty policy and procedures. 
It is your responsibility to familiarize yourself with the policy.

HOMEWORK ASSIGNMENTS

Assignment 1, Due Monday, January 14

Assignment 2, Due Tuesday, January 22

FINAL EXAM

SUPPLEMENTARY NOTES

Differentiation Under the Integral Sign

Exterior Algebra

The Change of Variables Theorem

The Gram Matrix,  Orthogonal Projection and Volume