Tentative Syllabus and Reading Assignments
| Meeting | Date | Topics | Reading |
|---|---|---|---|
| 1 | Wed.9/6 | Overview; 2d and 3d Cartesian Coordinates, Polar Coordinates | 12.1, 10.3 |
| 2 | Mon.9/11 | Vectors, Dot Product | 12.2, 12.3 |
| 3 | Wed.9/13 | Dot Product (continued), Cross Product | 12.3, 12.4 |
| 4 | Mon.9/19 | Equations of Lines and Planes | 12.5 |
| 5 | Wed.9/20 | Parametric Equations and Vector Functions | 10.1, 13.1 |
| 6 | Mon.9/25 | Derivatives and Integrals of Vector Functions, Velocity and Acceleration |
13.2, 13.4 |
| 7 | Wed.9/27 | Functions of Several Variables; Limits and Continuity | 14.1, 14.2 |
| 8 | Mon.10/2 | Review | |
| 9 | Wed.10/4 | Midterm 1 | |
| 10 | Mon.10/9 | Partial Derivatives, Tangent Planes and Linear Approximations | 14.3, 14.4 |
| 11 | Wed.10/11 | Tangent Planes and Linear Approximation (continued), The Chain Rule | 14.4, 14.5 |
| 12 | Mon.10/16 | Directional Derivatives and the Gradient Vector | 14.6 |
| 13 | Wed.10/18 | Maximum and Minimum Values | 14.7 |
| 14 | Mon.10/23 | Lagrange Multipliers | 14.8 |
| 15 | Wed.10/25 | Double Integrals | 15.1, 15.2 |
| 16 | Mon.10/30 | Double Integrals in Polar Coordinates; Applications of Double Integrals | 15.3, 15.4 |
| 17 | Wed.11/1 | Review | |
| Mon.11/6 | Academic Holiday | ||
| 18 | Wed.11/8 | Midterm 2 | |
| 19 | Mon.11/13 | Triple Integrals | 15.6 |
| 20 | Wed.11/15 | Triple Integrals in Cylindrical and Spherical Coordinates | 15.7, 15.8 |
| 21 | Mon.11/20 | Vector Fields, Line Integrals | 16.1, 16.2 |
| 22 | Wed.11/22 | The fundamental Theorem of Line Integrals; Green’s Theorem | 16.3, 16.4 |
| 23 | Mon.11/27 | Curl and Divergence; Parametric Surfaces | 16.5, 16.6 |
| 24 | Wed.11/29 | Surface Areas and Surface Integrals | 16.6, 16.7 |
| 25 | Mon.12/4 | Stokes’ Theorem | 16.8 |
| 26 | Wed.12/6 | Divergence Theorem | 16.9 |
| 27 | Mon.12/11 | Review |
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