Week  Date  Topics 

1  9/3/2019 
10.1: Coordinates 10.2: Vectors 
9/5/2019 
10.2: Vectors (continued) 10.3: Dot product 10.4: Cross product 

2  9/10/2019  10.5: Equations of lines and planes 
9/12/2019  10.6: Cylinders and quadric surfaces  
3  9/17/2019 
10.7: Space curves 10.8: Arclength 
9/19/2019  10.9: Velocity, acceleration  
4  9/24/2019 
11.1: Functions of several variables 11.2: Continuity 
9/26/2019 
11.3: Partial derivatives 11.4: Tangent planes and linear approximations 

5  10/1/2019  11.5: Chain rule 
10/3/2019  11.6: Directional derivatives and the gradient vector  
6  10/8/2019  11.7: Maximum and minimum values 
10/10/2019  Midterm 1: 10.111.4  
7  10/15/2019  No class (Monday schedule) 
10/17/2019  11.8: Lagrange multipliers  
8  10/22/2019 
12.112.2: Double integrals 12.5: Triple integrals 
10/24/2019 
12.3: Integrals in polar coordinates 12.6: Cylindrical coordinates 

9  10/29/2019 
12.6: Cylindrical coordinates 12.7: Spherical coordinates 
10/31/2019  12.7: Spherical coordinates  
10  11/5/2019 
13.1: Vector fields 13.2: Line integrals 
11/7/2019 
13.3: Fundamental theorem of line integrals 13.4: Green's theorem 

11  11/12/2019 
13.4: Green's theorem 13.5: Curl and divergence 
11/14/2019  Midterm 2: 11.512.7  
12  11/19/2019  13.6: Parametric surfaces and their areas 
11/21/2019  No class (Thanksgiving)  
13  11/26/2019 
13.6: Parametric surfaces and their areas 13.7: Surface integrals 
11/28/2019  13.8 Stokes' Theorem  
14  12/3/2019  13.9: Divergence Theorem 
12/5/2019  Review of theorems  
15  12/10/2019  Review problems for theorems 
12/12/2019  Review problems for first half  
12/18/2019 (10:00 AM  11:50 AM)  Final exam 