Department of Mathematics at Columbia University - Fall 2014 Tentative Syllabus (Sections 003-006)

Meeting	Date	Topics	Reading
1	Wed.9/3	Conic Sections	10.5
2	Mon.9/8	Coordinate Systems in Two and Three dimensions	10.3, 12.1; first parts of 15.8 and 15.9
3	Wed.9/10	Vectors	12.2
4	Mon.9/15	The Dot Product	12.3
5	Wed.9/17	The Cross Product	12.4
6	Mon.9/22	Equations of Lines and Planes	12.5
7	Wed.9/24	Cylinders and Quadric Surfaces	12.6
8	Mon.9/29	Review
9	Wed.10/1	1st Midterm
10	Mon.10/6	Vector Functions and Space Curves	13.1
11	Wed.10/8	Derivatives and Integrals of Vector Functions	13.2
12	Mon.10/13	Arc Length and Curvature	13.3
13	Wed.10/15	Motion in Space: Velocity and Acceleration	13.4
14	Mon.10/20	Functions of Several Variables, Limits, Continuity	14.1, 14.2
15	Wed.10/22	Partial Derivatives	14.3
16	Mon.10/27	Review
17	Wed.10/29	2nd Midterm
	Mon.11/3	Academic Holiday
18	Wed.11/5	Tangent Planes and Linear Approximations	14.4
19	Mon.11/10	The Chain Rule	14.5
20	Wed.11/12	Directional Derivatives and the Gradient Vector	14.6
21	Mon.11/17	Directional Derivatives and the Gradient Vector	14.6
22	Wed.11/19	Maximum and Minimum Values	14.7
23	Mon.11/24	Maximum and Minimum Values	14.7
	Wed.11/26	Thanksgiving
24	Mon.12/1	Lagrange Multipliers	14.8
25	Wed.12/3	Complex Numbers	Appendix H
26	Mon.12/8	Review

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