Tentative Course Schedule

Week 

Topic(s)

1

Sequences and Convergence
Infinite Series, Convergence Tests for Positive Series

2

Absolute and Conditional Convergence,Power Series
Taylor and Maclaurin Series 

3

Applications of Taylor and Maclaurin Series
The Binomial Theorem and Binomial Series, Vectors
The Cross Product in 3-Space

4

Planes and Lines
Polar Coordinates, Limits and Continuity in Higher Dimensions 

5

Partial Derivatives
Higher Order Derivatives
The Chain Rule, Extreme Values
Extreme Values of Functions Defined on Restricted Domains
Lagrange Multipliers

6

Double Integrals
Iteration of Double Integrals in Cartesian Coordinates, Double Integrals in Polar Coordinates

7

Triple Integrals in Rectangular Coordinates