Multivariable Calculus

             Independent Study

 

                                                Independent study contract

 

Week

Topic(s)

Quiz Due

 

Problem set

Problem set

1

Parametric equations and curves

09/09

Notes

Questions

Answers

2

Polar coordinates

 

19/16

Notes

Questions

Answers

3

Conic sections

 

09/23

Notes

Questions

Answers

4

3D coordinate systems, vectors

09/30

Notes

Questions

Answers

5

Dot product and cross product

10/07

Notes

Questions

Answers

6

Equations of lines and planes

01/14

Notes

Questions

Answers

7

Equations of cylinders and quadratic surfaces

10/21

Notes

Questions

Answers

8

Vector functions and their derivatives

10/28

Notes

Questions

Answers

9

Arc length and curvature, motion in space

11/04

Notes

Questions

Answers

10

Functions of several variables

11/10

Notes

Questions

Answers

11

Partial derivatives

 

11/18

Notes

Questions

Answers

12

Tangent planes and linear approximations

11/23

Notes

Questions

Answers

13

The chain rule

 

12/02

Notes

Questions

Answers

14

Directional derivatives and the gradient vector

12/09

Notes

Questions

Answers

15

Minimum and maximum values, Lagrange multipliers

12/16

Notes

Questions

Answers

16

Introduction to double integrals and iterated integrals

12/23

Notes

Questions

Answers

17

Double integrals

 

01/06

Notes

Questions

Answers

18

Applications of double integrals and surface area

01/13

Notes

Questions

Answers

19

Triple integrals

 

01/20

Notes

Questions

Answers