Multivariate Calculus (Spring 2018) by James Cook at Liberty University

source: James Cook          2018年1月22日

1 37:55 vectors and points, 1-22-18
2 59:51 vectors, dot-products, angle, unit-vector, 1-23-18, part 1
3 14:50 vectors, dot-products, angle, unit-vector, 1-23-18, part 2
4 58:31 planes by equation or patch, cross product, 1-25-18
5 43:23 cross product properties, 1-27-18
6 51:04 curves and surfaces a catalog of examples, 1-29-18
7 59:51 cylindrical, spherical, calculus paths intro, 1-30-18, part 1
8 3:53 cylindrical, spherical, calculus paths intro, 1-30-18, part 2
9 41:30 path calculus properties, speed, 1-31-18
10 59:51 arclength, parametrized tangents, intro TNB, 2-1-18, part 1
11 8:50 arclength, parametrized tangents, intro TNB, 2-1-18, part 2
12 49:47 the TNB, curvature and torsion defined, 2-2-18
13 35:41 acceleration and Frenet data, 2-5-18, part 1
14 2:42 end of class quiz post mortem, 2-5-18, part 2
15 59:51 integral w.r.t. arclength, 2-8-18, part 1
16 13:24 integral w.r.t. arclength, 2-8-18, part 2
17 49:53 review for Test 1, 2-12-18
18 47:41 multivariate limits, 2-14-18
19 57:11 directional derivatives introduced, 2-15-18
20 36:05 partial differentiation, rates of change, 2-16-18
21 35:37 directional derivative analysis, 2-19-18
22 59:51 geometry of level curves and gradient, 2-20-18, part 1
23 8:22 geometry of level curves and gradient, 2-20-18, part 2
24 39:20 general derivatives sketched, 2-21-18
25 59:51 tangent planes and surfaces, 2-22-18, part 1
26 10:44 tangent planes and surfaces, 2-22-18, part 2
27 38:15 examples, start of chain rule, 2-23-18
28 20:36 more chain rule examples, 2-26-18
29 59:51 advanced partial differentiation, 2-27-18, part 1
30 16:54 advanced partial differentiation, 2-27-18, part 2
31 49:26 help with partial differentiation homework, 2-28-18
32 56:27 gradient in polar, cylindrical and spherical, 3-1-18
33 47:25 Test 2 review, 3-5-18
34 59:51 start of optimization, Lagrange multipliers, 3-8-18, part 1
35 18:02 start of optimization, Lagrange multipliers, 3-8-18, part 2