Math 13 (Winter 2012): Multivariable Calculus, Syllabus

The following tables lists the proposed schedule for the class. All chapter sections refer to Calculus, 7th edition, by James Stewart. (If you have an older edition of the book, the chapter numbers could be different!)

Week Date Chapter Topic Notes (from Andrew's section)
1 1/4 Introduction
1/6 Ch. 12 Vectors and the geometry of space Class 1, 2
2 1/9 Ch 13, 14 Vector functions, partial derivatives Class 3
1/11 14, 15.1 Directional derivatives, gradients, tangent planes, introduction to integration Class 4
1/13 15.2 Iterated integrals, Fubini's Theorem Class 5
3 1/16 Martin Luther King, Jr. Holiday
1/18 15.3 Integration over non-rectangular regions Class 6
1/20 15.4 Integration in polar coordinates Class 7
4 1/23 15.4, 15.5, 15.6 Integration in polar coordinates, applications of multiple integrals, surface area Class 8, Class 9
1/25 15.7 Triple integration Class 9
1/26 (Tentative) Midterm 1
1/27 15.7, 15.8 Triple integration, triple integration in cylindrical coordinates Class 10
5 1/30 15.9 Spherical coordinates Class 11
2/1 15.10 Change of variables, the Jacobian Class 12
2/3 16.2 Line integrals of scalar functions Class 13
6 2/6 16.1, 16.2 Vector fields, line integrals of vector fields Class 14
2/8 16.3 The Fundamental Theorem of Calculus for line integrals Class 15
2/10 Winter Carnival
7 2/13 16.3 The Fundamental Theorem of Calculus for line integrals, continued
2/15 16.4 Green's Theorem Class 16
2/16 (Tentative) Midterm 2
2/17 16.5 Divergence and curl Class 17
8 2/20 16.6 Parameterizing surfaces Class 18
2/22 16.7 Surface integrals of scalar functions
2/24 16.6, 16.7 Tangent planes, introduction to flux Class 19
9 2/27 16.7 Surface integrals of vector fields Class 20
2/29 16.7 Surface integrals of vector fields, continued
3/2 16.9 The Divergence Theorem Class 21, Class 22
10 3/5 16.8 Stokes' Theorem Class 23
3/7 Review