Lecture Number 
Date 
Sections in Text 
Brief Description 
1 
3/30 
1.1  1.6 
Vectors, Dot and Cross products, lines, planes, matrices 
2 
4/01 
2.1  2.3 
Functions of several variables, limits, continuity, partial derivatives 
3 
4/03 
2.4  2.5 
Properties of the derivative and the chain rule (brief higher order partials) 
4 
4/6 
2.6 
Chain rule 
5 
4/8 
3.1  3.2 
Parametrized Curves and Arclength 
6 
4/10 
3.3 
Vector Fields 
7 
4/13 
3.4 
Gradient, Divergence, Curl and the Del operator 
8 
4/15 
1.7 
Polar, cylindrical, and spherical coordinates 
9 
4/17 
1.7, 5.1 
Coordinates, Areas and Volumes 
10 
4/20 
5.2 
Double Integrals 
11 
4/22 
5.3  5.4 
Changing the order of integration, Triple Integrals 
12 
4/24 
5.4  5.5 
Triple Integrals, Change of Variables 
13 
4/27 
5.5 
Change of Variables 


4/28 
Midterm 


14 
4/29 
5.5 
Change of Variables 

15 
5/1 
5.6 
Applications of Integration 
16 
5/4 
5.6 
Applications of Integration 
17 
5/6 
6.1 
Scalar and Vector line integrals 
18 
5/8 
6.1 
Scalar and Vector line integrals 
19 
5/11 
6.2 
Green's theorem 
20 
5/13 
6.3 
Conservative Vector Fields 

5/14 
Midterm 


21 
5/15 
6.3 
Computing Line Integrals, Simple Connectedness 
22 
5/18 
7.1 
Parametrized Surfaces 
23 
5/20 
7.1  7.2 
Areas of Surfaces, Surface Integrals 
24 
5/22 
7.2 
Surface Integrals 

5/25 
Memorial Day holiday 


25 
5/26 
7.3 
Stokes's and Gauss's theorems; note xhour! 
26 
5/27 
7.3 
Stokes's and Gauss's theorems 
27 
5/29 
Review 
Review/catchup day 
28 
6/01 
Review 
Review 