Math 13
Calculus of Vector Valued Functions

Last updated January 01, 2016 18:04:42 EST

## 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
1/4 15.1 Introduction to integration, iterated integrals
1/6 15.1, 15.2 Fubini's Theorem, integration over non-rectangular regions
1/8 15.4 Integration in polar coordinates
1/11 15.4, 15.5 Integration in polar coordinates, applications of double integrals
1/13 12.7, 15.3, 15.4 Triple integration, cylindrical coordinates
1/15 15.4, 15.5 Spherical coordinates, applications
1/18   Martin Luther King day (no classes)
1/19 or 1/21 (x-hour) M8 Review (chapter 12) Vectors, dot product, cross product, determinants, planes
1/20 15.6 Change of variables, the Jacobian
1/22 15.6 Change of variables, the Jacobian (continued)
1/25 M8 Review (chapter 13) Projections, vector functions
1/27   Review for the midterm
1/28   Exam 1
1/29 M8 Review (chapter 14) Partial and directional derivatives, gradients, tangent planes
2/1 16.2 Line integrals of scalar functions
2/3 16.1, 16.2 Vector fields basics (curl and divergence later), line integrals of vector fields
2/5 16.3 The Fundamental Theorem of Calculus for line integrals
2/8 16.3, 17.1 The Fundamental Theorem of Calculus for line integrals (continued), Green's Theorem
2/10 17.1 Green's Theorem (continued)
2/12 16.1 Curl and Divergence
2/15 16.1 Curl and Divergence (continued), vector form of Green's theorem, Review for the midterm
2/17 16.4 Parametrizing surfaces, tangent planes
2/18   Exam 2
2/19 16.4 Surface area
2/22 16.4 Surface integrals of scalar functions
2/24 16.5 Surface integrals of vector fields
2/26 17.3 The Divergence Theorem
2/29 17.3, 17.2 The Divergence Theorem (continued), Stokes' Theorem
3/2 17.2 Stokes' Theorem, continued
3/4   Wrap up
3/7   Review

Tim Dwyer
Last updated January 01, 2016 18:04:42 EST