Math 13

Calculus of Vector-Valued Functions

General Information Schedule Homework Assignments Links Exams

Announcements:


Schedule

The following schedule is subject to change throughout the quarter.

Lecture Number Date Sections in Text Brief Description
1 3/26 1.1 - 1.6 Vectors, Dot and Cross products, lines, planes, matrices
2 3/28 Gordon
3/31 Mileti
2.1 - 2.3 Functions of several variables, limits, continuity, partial derivatives
3 3/31Gordon
4/1 Mileti
2.4 - 2.5 Properties of the derivative and the chain rule (brief higher order partials)
4 4/2 2.6 Directional Derivatives and the Gradient
5 4/4 3.1 - 3.2 Parametrized Curves and Arclength
6 4/7 3.3 Vector Fields
7 4/9 Gordon
4/8 Mileti
3.4 Gradient, Divergence, Curl and the Del operator
8 4/10 Gordon
4/9 Mileti
1.7 Polar, cylindrical, and spherical coordinates
9 4/11 1.7, 5.1 Coordinates, Areas and Volumes
10 4/14 5.2 Double Integrals
11 4/16 5.3 - 5.4 Changing the order of integration, Triple Integrals
12 4/18 5.4 - 5.5 Triple Integrals, Change of Variables
13 4/21 Review Review
14 4/23 5.5 Change of Variables
15 4/25 5.5 Change of Variables
16 4/28 5.6 Applications of Integration
17 4/30 Gordon
4/29 Mileti
5.6 Applications of Integration
18 5/1 Gordon
4/30 Mileti
6.1 Scalar and Vector line integrals
19 5/2 6.1 Scalar and Vector line integrals
20 5/5 6.2 Green's theorem
21 5/7 6.3 Conservative Vector Fields
22 5/9 6.3 Computing Line Integrals, Simple Connectedness
23 5/12 Review Review
24 5/14 7.1 Parametrized Surfaces
25 5/16 7.1 - 7.2 Areas of Surfaces, Surface Integrals
26 5/19 7.2 Surface Integrals
27 5/21 7.3 Stokes's and Gauss's theorems
28 5/23 7.3 Stokes's and Gauss's theorems
29 5/28 Review Review