| Wk | Date | Ch. | Topic | Homework / Solutions |
|---|---|---|---|---|
| 1 | M, Aug 24 | 11.1 | Review: Vectors | Install Mathematica |
| W, Aug 26 | 11.2 | Review: Dot product of two vectors | hw1/ hws1 | |
| F, Aug 28 | 11.3 | Review: Cross product of two vectors | hw2/ hws2 | |
| 2 | M, Aug 31 | 11.4 | Review: Lines and planes | hw3/ hws3 |
| W, Sept 2 | 11.5 | Curves and motion in space | hw4/ hws4 | |
| F, Sept 4 | 11.6 | Velocity and acceleration | hw5/ hws5 | |
| 3 | W, Sept 9 | 11.6 | Speed and arclength | hw6/ hws6 |
| F, Sept 11 | 11.6 | Curvature of plane curves; T and N | hw7/ hws7 | |
| 4 | M, Sept 14 | 11.6 | T and N components of acceleration | hw8/ hws8 |
| W, Sept 16 | Review (practice problems, solutions) | |||
| F, Sept 18 | Midterm Exam 1 (solutions) | |||
| 5 | M, Sept 21 | 11.7 | Cylinders and quadric surfaces | hw10/ hws10 |
| W, Sept 23 | 12.1--2 | Functions of several variables | hw11/ hws11 | |
| F, Sept 25 | 12.2 | Graphs and level set diagrams | hw12/ surfaceplots / gallery12.pdf / gallery12.nb | |
| 6 | M, Sept 28 | 12.4 | Partial derivatives | hw13/ hws13 |
| W, Sept 30 | 12.5 | Maxima and minima | hw14/ hws14 | |
| F, Oct 2 | 12.7 | The chain rule | hw15/ hws15 | |
| 7 | M, Oct 4 | 12.8 | Directional derivatives and gradients | hw16/ hws16 |
| W, Oct 7 | 12.8 | Gradients and tangent planes | hw17/ hws17 | |
| F, Oct 9 | 12.9 | Lagrange Multipliers | hw18/ hws18 | |
| 8 | M, Oct 12 | 12.10 | Critical Points of f(x,y) | hw19/ hws19 |
| W, Oct 14 | Review (practice problems, solutions) | |||
| F, Oct 16 | Midterm Exam 2 (solutions) | |||
| 9 | W, Oct 21 | 13.1 | Double integrals | hw20/ hws20 |
| F, Oct 23 | 13.2 | Non-rectangular domains | hw21/ hws21 | |
| 10 | M, Oct 26 | 13.3 | Area and volume by double integrals | hw22/ hws22 |
| W, Oct 28 | 13.4 | Double integrals in polar coordinates | hw23/ hws23 | |
| F, Oct 30 | 13.5 | Applications of double integrals | hw24/ hws24 | |
| 11 | M, Nov 2 | 13.5 | Symmetry arguments for integrals | hw25/ hws25 |
| W, Nov 4 | 13.6 | Triple integrals | hw26/ hws26 | |
| F, Nov 6 | 13.7 | Triple integrals in curvilinear coordinates | hw27/ hws27 | |
| 12 | M, Nov 9 | 13.7 | Applications of triple integrals | hw28/ hws28 |
| W, Nov 11 | Review (practice problems, solutions) | |||
| F, Nov 12 | Midterm Exam 3 (solutions) | |||
| 13 | M, Nov 16 | 14.2 | Vector fields | hwvf/ hwsvf |
| W, Nov 18 | 14.2 | Line
integrals |
hw29/ hws29 | |
| F, Nov 20 | 14.3 | Work and circulation | hw30/ hws30 | |
| 14 | M, Nov 23 | 14.4 | Fundamental Thm. for line integrals | hw31/ hws31 |
| W, Nov 25 | 14.4 | Conservative
vectorfields |
hw32/ hws32 | |
| 15 | M,
Nov 30 |
14.4 | Green's Theorem | hw33/ hws33 |
| W,
Dec 2 |
14.4 | The planar Divergence Theorem | hw34/ hws34 | |
| F,
Dec 4 |
14.4 | Point sources, sinks, and vortices | hw35/ hws35 | |
| 16 | T, Dec 8 | Review Session: Monday (practice problems, solutions) FINAL EXAM: Tuesday, 4:00--7:00 pm. |
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