| Sept. 4 |
10.1 (pgs. 559-562) |
coordinate planes, distance in space, standard equation of a sphere |
Day 1 |
| Sept. 6 |
10.2, 10.3 (pgs. 574-582, 588-589) |
vector, initial point, terminal point, magnitude, component form, vector algebra properties of vector operation, unit vector, dot product |
Day 2 |
| Sept. 9 |
10.3 (pgs. 589-595) |
dot product and angles, orthogonal vectors, orthogonal projection, |
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| Sept. 11 |
10.4, 11.1 (pgs. 601-605, 631-635) |
cross product, right hand rule, vector-valued functions, vector |
Vector Valued Functions |
| Sept. 13 |
10.5, 10.6 (pgs. 612-617, 623-624) |
parametric and symmetric equations of a line, skew lines, normal vectors, standard and general form for planes |
Lines and Planes |
| Sept. 16 |
10.6, 12.1 (pgs. 625-627, 683-684) |
parallel planes, multivariable functions |
Slices |
| Sept. 18 |
12.1, 12.2 (pgs.685-688, 690-698) |
level curve, open disk, boundary point, interior point, open, closed, bounded sets, limits, continuity | More Level Curves |
| Sept. 20 |
12.3 (pgs. 700-707) |
partial derivative with respect to x and with respect to y | Partial Derivatives |
| Sept. 23 |
12.3(pgs. 708-710) |
second partial derivatives, Clairaut's Theorem (Theorem 12.3.1) | 2nd Partials |
| Sept. 25 |
12.7 (pgs.739-740, 745-746) |
tangent plane | Tangent Plane |
| Sept. 27 |
Exam 1 |
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| Sept. 30 |
12.5 (pgs. 721-725) |
multivariable chain rule |
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| Oct. 2 |
12.6 (pgs. 729-730) |
directional derivatives | Directional Derivatives |
| Oct. 4 |
12.6, 12.7 (pgs. 731-737, 746-747) |
gradient |
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| Oct. 7 |
12.8 (pgs. 749-751) |
critical point, saddle point | Maximum and Minimums |
| Oct. 9 |
12.8 (pgs. 752-754) |
2nd Derivative Test | |
| Oct. 11 |
12.8 (pgs. 754-757) |
Extreme Value Theorem, absolute maximum, absolute minimum | Optimization |
| Oct. 16 |
see Moodle for notes |
Lagrange multiplier, method of Lagrange multipliers |
Lagrange Multipliers |
| Oct. 18 |
13.2 (pgs. 769-770) |
Riemann sums, double integrals | Single Variable Example |
| Oct. 21 |
9.4 (pgs. 533-543) |
polar coordinates, polar functions | |
| Oct. 23 |
Exam 2 |
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| Oct. 25 |
no class |
LEAP Symposium | |
| Oct. 28 |
13.1 (pgs. 759-766) |
iterated integrals |
Iterated Integrals |
| Oct. 30 |
13.2 (pgs. 771-778) |
Fubini's Theorem, properties of double integrals, changing order of integration |
Double Integral Regions |
| Nov. 1 |
13.3 (pgs. 780-781) |
double integrals and polar coordinates |
3d Integral Pictures |
| Nov. 4 |
13.3 (pgs. 782-785) |
more polar coordinates and procedure for triple integrals |
|
| Nov. 6 |
13.6, 13.7 (pgs. 808, 828, 831-832) |
motivation for triple integral, cylindrical and spherical coordinates |
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| Nov. 8 |
13.6 (pgs. 809-818, 829-830, 833) |
setting up triple integrals |
First Example |
| Nov. 11 |
13.6, 13.7 (pgs. 809-818, 829-830, 833) |
more triple integrals |
Examples |
| Nov. 13 |
14.1, 9.2 (pgs. 840-846, 511-515) |
line integrals, brief recap of parametric equations |
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| Nov. 15 |
14.2 (pgs. 850-857) |
vector fields, divergence, curl |
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| Nov. 8 |
13.6 (pgs. 809-818, 829-830, 833) |
setting up triple integrals |
First Example |
| Nov. 11 |
13.6, 13.7 (pgs. 809-818, 829-830, 833) |
more triple integrals |
Examples |
| Nov. 13 |
9.2, 9.3 (pgs. 511-515, 527-528) |
brief recap of parametric equations and arc length |
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| Nov. 15 |
14.1, 14.2 (pgs. 840-846, 850-851) |
line integrals, vector fields |
Vector Field Generator (not my own!) |
| Nov. 18 |
14.2 (pg. 857) |
gradient vector field |
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| Nov. 20 |
Exam 2 |
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| Nov. 22 |
14.3 (pgs. 859-864) |
line integrals over vector fields |
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| Nov. 25 |
14.3 (pgs. 865-868) |
fundmental theorm of line integrals |
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