Syllabus -- Math 222, Spring 2008

Note: Some of the sections of the book that are omitted from the list below contain topics that we will actually be covering when they are needed for the sections that are listed. This applies in particular to sections 2.1, 2.2 (to a limited extent), and 2.4.

Week Book Sections Homework HW Due
1. 1/21-1/25 2.3 Differentiation Problem Set #1. Solutions 1/28
2. 1/28-2/1

2.5 Properties of the Derivative

2.6 Gradients, Directional Derivatives

 Problem Set #2. Solutions 2/4
3. 2/4-2/8

3.1 Iterated Partial Derivatives

3.2 Taylor's Theorem

3.3 Extrema

 Problem Set #3. Solutions 2/11
4. 2/11-2/15

3.3 Extrema, cont.

3.4 Lagrange Multipliers

3.5 Implicit Function Thm

 Problem Set #4. Solutions 2/18
First Prelim Tuesday 2/19, 7:30-9:00 pm. Information on the exam.
5. 2/18-2/22

5.1 Intro to Double Integrals

5.2 Double Integrals over Rectangles

5.3 Double Integrals over More General Regions

Section 5.1: 1a, 2a.

Section 5.2: 2a, 8.

Section 5.3: 1c, 2acd, 9, 11.

Solutions

 2/25
6. 2/25-2/29

5.4 Changing the Order of Integration

5.5 Triple Integrals

 Problem Set #6. Solutions 3/3
7. 3/3-3/7

6.1 Maps of the Plane

6.2 Change of Variables

 Problem Set #7. Solutions 3/12
8. 3/10-3/14

1.4 Cylindrical and Spherical Coordinates

6.4 Improper Integrals

 Problem Set #8. Solutions 3/24
Spring Break
9. 3/24-3/28

4.3 Vector Fields

4.4 Divergence and Curl

4.3: 4, 8, 16, 20.

4.4: 4, 8, 14, 19, 26, 32.

Solutions

 4/2
Second Prelim Thursday 3/27, 7:30-9:00 pm. Information on the exam, including solutions.
10. 3/31-4/4

4.2, 7.1 Arc Length & Path Integrals

7.2 Line Integrals

 

4.2: 2, 9. 7.1: 2a, 6ab, 9.

7.2: 1ad, 2acd, 14, 9 (use #14), 12 (use #14), 15, 16.

Solutions

 4/7
11. 4/7-4/11

7.3 Parametrized Surfaces

7.4 Surface Area

7.5, 7.6 Surface Integrals

Problem Set #11. Solutions

 4/16
12. 4/14-4/18

8.1 Green's Theorem

8.4 Gauss' Theorem

 Problem Set #12. Solutions 4/23
13. 4/21-4/25

8.2 Stokes' Theorem

8.3 Conservative Fields

 Problem Set #13. Solutions 4/30
14. 4/28-5/2

8.3 continued

8.6 Differential Forms

    
Final Exam Friday May 9, 9:00-11:30 am. Information on the exam