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 | 16.2 | Line integrals of scalar functions |
10/16 | 16.1, 16.2 | Vector fields, 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 |
11/1 | 16.6 | Parametrizing surfaces, tangent planes |
11/4 | 16.6, 15.6 | Surface area |
11/6 | 16.7 | Surface integrals of scalar functions |
11/8 | 16.7 | Surface integrals of 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, continued |
11/18 | Review |