Math 13
Multivariable Calculus
Last updated June 27, 2016 13:25:42 EDT

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in Text Brief Description
9/16 15.1, 15.2 Introduction to integration, iterated integrals
9/18 15.2, 15.3 Fubini's Theorem, integration over non-rectangular regions
9/20 15.4 Integration in polar coordinates
9/23 15.4, 15.5 Integration in polar coordinates, applications of double integrals (no probability or expected values)
9/25 15.7, 15.8 Triple integration, cylindrical coordinates
9/27 15.8, 15.9 Spherical coordinates
9/30 Ch 12 Vectors, dot product, cross product, determinants, planes
10/2 15.10 Change of variables, the Jacobian
10/4 15.10 Change of variables, the Jacobian (continued)
10/7 Ch 12, 13 Projections, vector functions
10/9   Review for the midterm
10/10   Exam 1
10/11 Ch 14 Partial and directional derivatives, gradients, tangent planes
10/14 16.1, 16.2 Vector fields, line integrals of scalar functions
10/16 16.2 Line integrals of vector fields
10/18 16.2, 16.3 Line Integrals, The Fundamental Theorem of Calculus for line integrals
10/21 16.3 The Fundamental Theorem of Calculus for line integrals (continued)
10/23 16.3, 16.4 Green's Theorem
10/25 16.4 Green's Theorem (continued)
10/28 16.5 Curl and Divergence
10/30   Review for the midterm
10/31   Exam 2
11/1 16.5, 16.6 Curl and Divergence (continued), Parametrizing surfaces
11/4 16.6 Parametrizing surfaces, tangent planes
11/6 15.6, 16.6, 16.7 Surface area, surface integrals of scalar functions
11/8 16.7 Surface integrals of scalar and vector fields
11/11 16.9 The Divergence Theorem
11/13 16.9,16.8 The Divergence Theorem (continued), Stokes' Theorem
11/15 16.8 Stokes' Theorem
11/18   Wrap up

T. R. Shemanske
Last updated June 27, 2016 13:25:42 EDT