Math 13
Calculus of Vector-Valued Functions
Last updated September 17, 2015 09:19:00 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 14.1, 14.2 Review of functions of several variables and definite integrals
9/18 15.1 Introduction to integration, iterated integrals
9/21 15.2, 15.3 Fubini's Theorem, integration over non-rectangular regions
9/23 15.4 Integration in polar coordinates
9/25 15.4, 15.5 Integration in polar coordinates, applications of double integrals (no probability or expected values)
9/28 15.7, 15.8 Triple integration, cylindrical coordinates
9/30 15.8, 15.9 Spherical coordinates
10/2 Ch 12 Vectors, dot product, cross product, determinants, planes
10/5 15.10 Change of variables, the Jacobian
10/6 (x-hour) 15.10 Change of variables, the Jacobian (continued)
10/7 Ch 12, 13 Projections, vector functions
10/8   Preliminary Exam
10/9 Ch 14 Partial and directional derivatives, gradients, tangent planes
10/12 16.2 Line integrals of scalar functions
10/14 16.1, 16.2 Vector fields, line integrals of vector fields
10/16   NO CLASS
10/19 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 16.4 Green's Theorem
10/26 16.4 Green's Theorem (continued)
10/28 16.5 Curl and Divergence
10/30 16.5, 16.6 Curl and Divergence (continued), Parametrizing surfaces
10/30   Midterm Exam
11/2 16.6, 15.6 Surface area
11/4 16.7 Surface integrals of scalar functions
11/6 16.7 Surface integrals of vector fields
11/9 16.9 The Divergence Theorem
11/11 16.9, 16.8 The Divergence Theorem (continued), Stokes' Theorem
11/13 16.8 Stokes' Theorem, continued
11/16   Wrap-up
11/20   Final Exam

Dana P. Williams
Last updated September 17, 2015 09:19:00 EDT