Calculus of Vector Valued Functions
| General Information | Syllabus | HW Assignments | WeBWorK Access | Course Resources |
|---|
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 August 11, 2020 16:04:37 EDT