| Jan. 28 |
10.1 (pgs. 559-562) |
coordinate planes, distance in space, standard equation of a sphere |
Day 1 Intro |
| Jan. 30 |
10.2, 10.3 (pgs. 574-582) |
vector, initial point, terminal point, magnitude, component form, vector algebra properties of vector operation, unit vector |
Basics of Vectors |
| Jan. 31 |
10.3 (pgs. 588-595) |
dot product and angles, orthogonal vectors, orthogonal projection |
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| Feb. 4 |
10.4, 9.2 (pgs. 601-605, 511-512) |
cross product, right hand rule, |
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| Feb. 6 |
Snow Day! |
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| Feb. 7 |
11.1, 10.5 (pgs. 612-614, 631-635) |
vector-valued functions, parametric and symmetric equations of a line |
Vector Valued Functions |
| Feb. 11 |
10.5, 11.2 (pgs. 615-617, 639-642) |
skew lines, |
Lines and Planes
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| Feb. 13 |
10.6 (pg. 623-627) |
normal vectors, standard and general form for planes, parallel planes |
Level Curves |
| Feb. 14 |
12.1, 12.2 (pgs.683-688, 690-698) |
multivariable functions, level curve, open disk, boundary point, interior point, open, closed, bounded sets, limits, continuity | More Level Curves and Limits |
| Feb. 18 |
12.3 (pgs. 700-707) |
partial derivative with respect to x and with respect to y | Partial Derivatives |
| Feb. 20 |
Exam 1 |
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| Feb. 21 |
no class |
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| Feb. 25 |
12.3(pgs. 708-710) |
more on partial derivatives, second partial derivatives, Clairaut's Theorem (Theorem 12.3.1) | 2nd Partials |
| Feb. 27 |
12.7 (pgs.739-740, 745-746) |
tangent plane | Tangent Plane |
| Feb. 28 |
12.5 (pgs. 721-725) |
multivariable chain rule |
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| Mar. 4 |
12.6 (pgs. 729-737) |
directional derivatives, gradients | Directional Derivatives |
| Mar. 6 |
12.7, 12.8 (pgs. 746-747, 749-751) |
more on gradient, relative and absolute max/min, critical point, saddle point | Maximum and Minimums |
| Mar. 7 |
12.8 (pgs. 752-754) |
2nd Derivative Test | |
| Mar. 11 |
12.8 (pgs. 754-757) |
Extreme Value Theorem, absolute maximum, absolute minimum | Optimization |
| Mar. 13 |
see Moodle for notes |
Lagrange multiplier, method of Lagrange multipliers |
Lagrange Multipliers |
| π Day |
9.4 (pgs. 533-543) |
integration by parts recap, polar coordinates, polar functions | |
| Mar. 25 |
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a bit more Lagrange Multipliers, Riemann sums from Calc I |
Single Variable Example |
| Mar. 27 |
13.2 (pgs. 769-770) |
Riemann sums, double integrals |
Riemann Sums |
| Mar. 28 |
Exam 2 |
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| Apr. 1 |
13.1, 13.2 (pgs. 759-766) |
iterated integrals, Fubini's Theorem |
Iterated Integrals |
| Apr. 3 |
13.2 (pgs. 771-776) |
properties of double integrals, changing order of integration |
Double Integral Regions |
| Apr. 4 |
13.3 (pgs. 780-783) |
double integrals and polar coordinates |
3d Integral Pictures |