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Winter 2009 Math 316

What, When, and Where:

Course Description:

Theory of Analysis

Text:

C.H. Edwards Jr. Advanced Calculus of Several Variables, Revised Edition
(Available on Amazon)

Book cover of "Advanced Calculus of Several Variables" by Edwards

Lectures:

TuTh 8:00-9:15a 126 TMCB

Office Hours:

TuTh 5:00-5:50p 306 TMCB

Grading Scheme:

40% Homework
20% Exam I
20% Exam II
20% Exam III (Final Exam)

Course Schedule: (subject to change)

Jan 06 Linear Algebra Review I
Jan 08 Linear Algebra Review II
Jan 13 Metric Space Topology I
Jan 15 Metric Space Topology II
Jan 20 Metric Space Topology III
Jan 22 Metric Space Topology IV
Jan 27 Metric Space Topology V
Jan 29 Metric Space Topology VI
Feb 03 Differentiation I
Feb 05 Differentiation II
Feb 10 Differentiation III
Feb 12 Differentiation IV
Feb 17 NO SCHOOL
Feb 19 Contraction Mapping Principle
Feb 24 Inverse and Implicit Function Theorems I
Feb 26 Inverse and Implicit Function Theorems II
Mar 03 Inverse and Implicit Function Theorems III
Mar 05 Inverse and Implicit Function Theorems IV
Mar 10 Optimization I
Mar 12 Optimization II
Mar 17 Optimization III
Mar 19 Optimization IV
Mar 24 Integration I
Mar 26 Integration II
Mar 31 Integration III
Apr 02 Differential Forms I
Apr 07 Differential Forms II
Apr 09 Differential Forms III
Apr 14 Differential Forms IV

Assignments:

Homework 1 Due Jan 16
Homework 2 Due Jan 23
Homework 3 Due Jan 30
Homework 4 Due Feb 06
Homework 5 Due Feb 13
Homework 6 Due Feb 20 (practice exam)
Homework 7 Due Mar 06 (Edwards 3.3# 1,2,4-11)
Homework 8 Due Mar 20 (Edwards 3.3# 12-14,17,18 and these problems)
Homework 9 Due Apr 07 (Edwards 4.3# 3,5-7,8 and 4.4# 4-8)
Homework 10 Due Apr 14 (Edwards 5.1# 18-20, 5.2# 6-9 and 5.7# 4-6)
Extra Credit Homework (Edwards 4.6# 1-10)