Day

Date

Announcement

Lecture Description

Homework Assignment

Wed

June 6

First Class

Introduction. Euclidean Spaces. Norm; Inner Product.

Fri

June 8

.

Topology in Euclidean Space: Open Sets and Closed Sets.

.

Mon

June 11

Topology on Euclidean Space: Open Sets and Closed Sets.

1.1 Due

Tue

June 12

More Topology in Euclidean Space: Compact Sets and Connected Sets.

Taylor 7.2 (any 10) Due

Wed

June 13

Limits of Functions in Euclidean Space

1.2 Due

Fri

June 15

.

Continuity in Euclidean Space

1.3 Due

Mon

June 18

1.4 Due

Tue

June 19

Differentiability on Euclidean Space

Wed

June 20

Review

1.5 Due

Fri

June 22

Exam 1:  1.1 — 1.5

.

.

Mon

June 25

Basic Theorems of Differentiability

Tue

June 26

2.1 Due

Wed

June 27

Partial Derivatives

Fri

June 29

.

Derivatives

2.2 Due

Mon

July 2

Derivatives

Tue

July 3

Inverse Functions

2.3 Due

Wed

July 4

NO CLASS

Fri

July 6

.

Implicit Functions

2.4 Due

Mon

July 9

Curves and Surfaces

2.5 Due

Tue

July 10

Review

2.6 Due

Wed

July 11

Exam 2:  2.1 — 2.5

Fri

July 13

.

Basic Definitions of Integration

.

Mon

July 16

Content Zero and Measure Zero

Tue

July 17

3.1 Due

Wed

July 18

Integrable Functions

Fri

July 20

.

.

3.2 Due

Mon

July 23

Fubini’s Theorem

3.3 Due

Tue

July 24

NO CLASS

Wed

July 25

Partitions of Unity

3.4 Due

Fri

July 27

.

Change of Variables

.

Mon

July 30

Green, Gauss, and Stokes

3.5 Due

Tue

July 31

Catch Up

3.6 Due

Wed

Aug 1

Last Day of Class

Review

3.7 Due

Fri

Aug 3

Final Exam

.

.