| Week | Dates | Section(s) Covered
(In Lecture) |
Section(s) Covered
(In Discussion) |
Topic |
| 1 | Aug 29-Sept 2 | 12.1
12.6 |
12.2 12.3 12.4 |
Three-Dimensional Coordinate Systems
Vectors The Dot Product The Cross Product Cylinders and Quadric Surfaces |
| 2 | Sept 5-9 | 12.5
14.1 14.3 |
Equations of Lines & Planes
Functions of Several Variables Partial Derivatives |
|
| 3 | Sept 12-16 |
14.4
14.6 |
14.2
14.5
|
Limits and Continuity
Tangent Planes and Linear Approximation The Chain Rule Directional Derivatives and the Gradient Vector |
| 4 | Sept 19-23 |
14.7 |
Practice Exam 1 (In lecture)
Exam 1 (In discussion, covers 12.1-12.6, 14.1, 14.3, 14.4, 14.6) Maximum and Minimum Values |
|
| 5 | Sept 26-30 |
15.1 15.2 |
14.8
|
Lagrange Multipliers
Double Integrals over Rectangles Double Integrals over General Regions |
| 6 | Oct 3-7 | 15.3
15.6
|
15.9 |
Double Integrals in Polar Coordinates
Triple Integrals Change of Variables in Multiple Integrals |
| 7 | Oct 10-14 | 15.7
15.8 |
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates |
|
| 8 | Oct 17-21 |
13.1 |
Practice Exam 2 (In lecture)
Exam 2 (In discussion, covers 14.7, 15.1-15.3, 15.6-15.8) Vector Functions |
|
| 9 | Oct 24-28 | 13.2
13.3 16.1 16.2 |
Derivatives and Integrals of Vector Functions
Arc Length Vector Fields Line Integrals |
|
| 10 | Oct 31-Nov 4 | 16.2
16.3 |
Line Integrals (continued)
The Fundamental Theorem for Line Integrals |
|
| 11 | Nov 7-11 | 16.4
16.5 |
Green’s Theorem
Curl and Divergence |
|
| 12 | Nov 14-18 |
16.6 |
Practice Exam 3 (In lecture)
Exam 3 (In discussion, covers 13.1-13.3, 16.1-16.4) Parametric Surfaces and Their Areas |
|
| THANKSGIVING BREAK- NO CLASS | ||||
| 13 | Nov 28-Dec 2 | 16.7
16.9 |
Surface Integrals
Divergence Theorem |
|
| 14 | Dec 5-9 | 16.8
|
Stokes’ Theorem
Final Exam Review |
|
| Dec 12-18 | Wednesday, Dec 14, 1:00-3:00 PM
Final exam is cumulative |