32B (Lect. 1), Calculus of Several Variables

Lectures: MWF 2:00-2:50 in Dodd Hall 147.

Instructor: Rowan Killip, 6935 Math Sciences Building.

Office Hours: Mon 10:30--11:50am and Wed 9:30--10:50am in 6943 Math Sciences Building.

TAs: Eric Auld, Kyung Ha, and Khang Huynh

Exams: Two in-class midterms: Wednesday, January 31st and Wednesday, February 28th. Three-hour final: Sunday, March 18, 3:00pm-6:00pm.
Bring student ID to both midterms and the final. There will be no make-up exams.
No calculators, notes, or books will be permitted in any exam.

Homework: There will be weekly homework. It is due in class. Further information is given below.

Grading: Homework, 14%; Each midterm 17%; Final 52%. No exceptions.

Syllabus: General Course Outline. Here is our expected progress:

Lecture Sections Topics
1 16.1 Integrals in two variables and iterated integrals
2 16.2 Integrals over general regions
3 16.2, 16.3 Integrals over general regions (cont.), triple integrals
4 16.3, 12.3 Triple integrals, planar polar coordinates
5 16.4, 13.7 Double integrals in polar coordinates, cylindrical and spherical coord's.
6 16.4 Triple integrals in cylindrical and spherical coordinates
7 16.5 Applications of double & triple integrals (mechanics)
8 16.5 Applications of double & triple integrals (probability)
9 Review
10 16.1-16.5 Midterm 1
11 16.6 Change of variables in double integrals
12 16.6 Change of variables in double/triple integrals
13 17.2 Scalar line integrals
14 17.1 Vector fields
14 17.2 Vector line Integrals
15 17.3 Conservative Vector Fields
16 17.3 Conservative Vector Fields
17 17.4 Parametric Surfaces
18 17.4 Parametric Surfaces
19 17.5 Surface Integrals
20 17.5 Surface Integrals
21 16.1--17.5 Midterm 2
22 18.1 Green's Theorem
23 18.1 Green's Theorem
24 18.3 The Divergence Theorem
25 18.3 The Divergence Theorem
26 18.2 Stokes' Theorem
27 18.2 Stokes' Theorem
28 Review
16.1--18.3 Final
Homework Problems:
Homework 1. Due Friday Jan 12.
Homework 2. Due Friday Jan 19.
Homework 3. Due Friday Jan 26.
Homework 4. Due Friday Feb 2. Midterms for Lecture 1 and Lecture 3.
Homework 5. Due Friday Feb 9.
Homework 6. Due Friday Feb 16.