| 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, |
|
| 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 |
|
|
| Sept. 30 |
12.5 (pgs. 721-725) |
multivariable chain rule |
|
| Oct. 2 |
12.6 (pgs. 729-730) |
directional derivatives | Directional Derivatives |
| Oct. 4 |
12.6, 12.7 (pgs. 731-737, 746-747) |
gradient |
|
| 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 |
|
| Oct. 18 |
13.1 (pgs. 759-766) |
Riemann sums, iterated integrals | |
| Oct. 21 |
9.4 (pgs. 533-543) |
polar coordinates, polar functions | |
| Oct. 23 |
Exam 1 |
| |
| Oct. 25 |
no class |
LEAP Symposium | |