Department of Mathematics at Columbia University - Calculus 4 Sample Syllabus, Fall 2014

This is a sample syllabus. The schedule and topics covered for your section are likely to be different.

Meeting	Date	Topics	Reading
1	Wed.9/3	Double integrals over rectangles	15.1, 15.2
2	Mon.9/8	Double integrals over general regions	15.3
3	Wed.9/10	Polar coordinates, applications of double integrals	15.4, 15.5
4	Mon.9/15	More applications, triple integrals	15.5, 15.6
5	Wed.9/17	Cylindrical coordinates, spherical coordinates	15.7, 15.8
6	Mon.9/22	Spherical coordinates, change of variables	15.8, 15.9
7	Wed.9/24	Change of variables	15.9
8	Mon.9/29	Review
9	Wed.10/1	1st Midterm
10	Mon.10/6	Vector fields	16.1
11	Wed.10/8	Line integrals	16.2
12	Mon.10/13	Fundamental theorem for line integrals	16.3
13	Wed.10/15	Green’s theorem	16.4
14	Mon.10/20	Curl and divergence	16.5
15	Wed.10/22	Parametric surfaces, surface area	16.6
16	Mon.10/27	Surface integrals	16.7
17	Wed.10/29	Stokes Theorem	16.8
	Mon.11/3	Academic Holiday
18	Wed.11/5	Divergence Theorem	16.9
19	Mon.11/10	Review
20	Wed.11/12	2nd Midterm
21	Mon.11/17	Complex functions
22	Wed.11/19
23	Mon.11/24	Cauchy-Riemann equations
	Wed.11/26	Thanksgiving
24	Mon.12/1	Contour integrals and Cauchy’s Theorem
25	Wed.12/3
26	Mon.12/8	Review

Programs