Math 77: Mathematical Analysis III
Multivariate and Vector Calculus

Spring 1998

Syllabus for Math 77

The plan is to cover the following topics:

Note Week Sections Topics
1 14.1-14.4 Vectors, dot and cross products
2 14.5-14.8 Lines, planes, quadric surfaces
3 15.1-15.4 Curves in space, vector functions
A4 15.5-16.1 Curves, multivariate functions
5 16.2-16.3 EXAM 1, partial derivatives
6 16.4-16.7 Directional derivative, gradient
7 16.8-17.1 Max/min, double integrals
8 17.2-17.5 Multiple integrals
9 17.6-17.8 Coordinate systems, EXAM 2
10 18.1-18.2 Vector fields, line integrals
B
11 18.3-18.4 Conservative vf, Green's Theorem
12 18.5 Surface integrals
13 18.6 Flux, EXAM 3
14 18.7 Divergence theorem
C15 18.8 Stokes theorem
16 FINAL EXAM

{Notes:}
A- Monday, February 16, is the President's Day Holiday.
B- Spring Break is from April 6--10.
C- Last day of instruction is Wednesday, May 13.