Week  Date  Topics  Links 

1  9/8/2021 
10.1: Coordinates 10.2: Vectors 
Slides Lecture Recording 
2  9/13/2021 
10.3: Dot product 10.3: Orthogonal projection 
Slides Lecture Recording 
9/15/2021 
10.4: Cross product 
Slides Lecture Recording 

3  9/20/2021 
10.4: Volume of a parallelopiped 10.5: Equations of lines and planes 
Slides Lecture Recording 
9/22/2021 
10.6: Cylinders and quadric surfaces 
Slides Lecture Recording 

4  9/27/2021 
10.7: Parameterized curves 10.9: Velocity, speed, acceleration 10.8: Arclength 
Slides (revised 9/29) Lecture Recording 
9/29/2021 
11.1: Functions of several variables 11.2: Continuity 11.3: Partial derivatives 
Slides Lecture Recording 

5  10/4/2021 
11.2: Limits 11.3: Partial derivatives 11.4: Linear approximations, Tangent planes 
Slides Lecture Recording 
10/6/2021 
11.4: Differentials 11.5: Chain rule 
Slides Lecture Recording 

6  10/12/2021 (Tuesday!) 
11.6: Directional derivatives and the gradient vector 11.7: Maximum and minimum values 
Slides Lecture Recording 
10/13/2021  11.7: Maximum and minimum values 
Slides Lecture Recording 

7  10/18/2021  11.8: Lagrange multipliers 
Slides Lecture Recording 
10/20/2021 
12.112.2: Double integrals 12.5: Triple integrals 
Slides Lecture Recording 

8  10/25/2021  Midterm 1: 10.111.8  
10/27/2021 
12.112.2: Double integrals 12.5: Triple integrals 12.3: Polar coordinates 

9  11/1/2021 
12.3: Polar coordinates 12.6: Cylindrical coordinates 12.7: Spherical coordinates 

11/3/2021 
13.1: Vector fields 13.2: Line integrals 

10  11/8/2021 
13.2: Line integrals 13.3: Fundamental theorem of line integrals 

11/10/2021 
13.3: Fundamental theorem of line integrals 13.4: Green's theorem 

11  11/15/2021 
13.4: Green's theorem 

11/17/2021 
13.6: Parametric surfaces 13.7: Flux integrals 

12  11/22/2021  Midterm 2: 12.113.3  
11/24/2021 
13.7: Flux integrals 

13  11/29/2021 
13.5 Curl 13.8 Stokes' Theorem 

12/1/2021  13.8 Stokes' Theorem  
14  12/6/2021 
13.5: Divergence 13.9: Divergence Theorem 

12/8/2021 
13.4: Green's theorem 13.8: Stokes' Theorem 13.9: Divergence Theorem 

15  12/13/2021  Review for final  
TBA  Final exam: Everything 