Note: with the exception of exam dates, this schedule is only approximate.
| Date | Topic | Textbook Sections |
|---|
| 1/13 | Rectangular coordinates in R2 and R3 | 12.1 |
| 1/15 | Vectors in R2 and R3 | 12.2, 12.3 |
| 1/18 | MLK Holiday - No class | |
| 1/20 | The cross product | 12.4 |
| 1/22 | Lines and planes in R3 | 12.5 |
| 1/25 | Vector-valued functions | 13.1 |
| 1/27 | Derivatives of vector functions; arc
length | 13.2, 13.3 |
| 2/1 | Multivariable functions | 14.1 |
| 2/3 | Limits and continuity of
multivariable functions | 14.2 |
| 2/5 | Partial derivatives | 14.3 |
| 2/8 | Tangent planes | 14.4 |
| 2/10 | The multivariable chain rule | 14.5 |
| 2/12 | Directional derivatives | 14.6 |
| 2/15 | Midterm 1 Q&A
Midterm 1:
7:30 - 9:00 PM | Chapters 12 - 14 |
| 2/17 | Midterm 1 returned | |
| 2/19 | Optimization of multivariable
functions | 14.7, 14.8 |
| 2/22 |
| 2/24 |
| 2/26 | Double integrals over
rectangles | 15.1 |
| 3/1 | Iterated integrals and Fubini's
theorem | 15.2 |
| 3/3 | Double integrals over general
regions | 15.3 |
| 3/5 | Double integrals in polar
coordinates | 15.4 |
| 3/8 | General change of variables in
double integrals | 15.9 |
| 3/10 |
| 3/12 | Triple integrals | 15.6 |
| 3/15 | Spring Break - No classes | |
| 3/17 |
| 3/19 |
| 3/22 | Triple integrals in cylindrical and spherical
coordinates | 15.7, 15.8 |
| 3/24 | Midterm 2 Q&A
Midterm 2:
7:30 - 9:00 PM | Chapters 14 - 15 |
| 3/26 | Midterm 2 returned | |
| 3/29 | Vector fields | 16.1 |
| 3/31 | Line integrals | 16.2 |
| 4/2 | Good Friday Holiday - No class | |
| 4/5 | The Fundamental Theorem for line
integrals | 16.2, 16.3 |
| 4/7 |
| 4/9 | Green's theorem | 16.4 |
| 4/12 | Curl and divergence | 16.5 |
| 4/14 | Parametric surfaces | 16.6 |
| 4/16 | Surface integrals | 16.7 |
| 4/19 |
| 4/21 | Stokes' theorem | 16.8 |
| 4/23 | The divergence theorem | 16.9 |
| 4/26 | Wrap up | |
| 4/28 | Midterm 3 Q&A
Midterm 3: 7:30 - 9:00 PM
| Chapter 16 |
| 4/30 | Midterm 3 returned | |
| 5/3 | Reading Days | |
| 5/4 |
| 5/10 | Final Exam | Chapters 12 - 16 |
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