Multivariable Calculus
Independent Study
Week 
Topic(s) 
Quiz Due 

Problem set 
Problem set 
1 
Parametric equations and curves 
09/09 

2 
Polar coordinates 
19/16 

3 
Conic sections 
09/23 

4 
3D coordinate systems, vectors 
09/30 

5 
Dot product and cross product 
10/07 

6 
Equations of lines and planes 
01/14 

7 
Equations of cylinders and quadratic surfaces 
10/21 

8 
Vector functions and their derivatives 
10/28 

9 
Arc length and curvature,
motion in space 
11/04 

10 
Functions of several
variables 
11/10 

11 
Partial derivatives 
11/18 

12 
Tangent planes and linear
approximations 
11/23 

13 
The chain rule 
12/02 

14 
Directional derivatives and
the gradient vector 
12/09 

15 
Minimum and maximum values,
Lagrange multipliers 
12/16 

16 
Introduction to double
integrals and iterated integrals 
12/23 

17 
Double integrals 
01/06 

18 
Applications of double
integrals and surface area 
01/13 

19 
Triple integrals 
01/20 