Calculus II (Fall 2017) by James Cook at Liberty University

source: James Cook       2017年8月30日
I intend to post my Calculus II lectures for the Fall 2017 Semester at Liberty University. I'll follow "Calculus Early Transcendental Functions", 6th edition by Larson and Edwards, but, if they miss something or say something I don't care for I'll probably go to my notes etc. This course covers integration techniques, sequences, series, power series, first order ODEs, polar coordinates and parametric curves in the plane. Past this we study multivariable calculus starting with vectors... before this we study differentiation and integration up to u-substitution. We also cover hyperbolic functions which are unfortunately missing from some calculus curriculum.

1 59:51 trig identities, intro to hyperbolic functions, 8-29-17, part 1
2 14:46 trig identities, intro to hyperbolic functions, 8-29-17, part 2
3 38:18 hyperbolic function fun, 8-30-17
4 59:51 hyperbolics end, IBP begins, 8-31-17, part 1
5 14:03 hyperbolics end, IBP begins, 8-31-17, part 2
6 52:41 IBP, integrals of trig functions, 9-1-17
7 59:51 random problems, trig and hyperbolic subst. 9-5-17, part 1
8 15:05 random problems, trig and hyperbolic subst. 9-5-17, part 2
9 59:51 homework help, partial fractions, 9-7-17 part 1
10 17:57 homework help, partial fractions, 9-7-17 part 2
11 48:10 partial fractions with Isaac, 9-8-17
12 48:44 partial fractions again, 9-11-17
13 59:51 integration examples, 9-12-17, part 1
14 12:27 integration examples, 9-12-17, part 2
15 51:10 integration examples, 9-13-17
16 48:58 review for Test 1, 9-20-17
17 50:01 L'Hop Rule, 9-22-17
18 47:03 L'Hop, improper integrals with infinite bounds, 9-25-17
19 59:51 improper integrals, sequences, 9-26-17 part 1
20 14:53 improper integrals, sequences, 9-26-17 part 2
21 49:20 sequence theorems, series defined, 9-27-17
22 15:41 Differential Equations: p-series, comparison, integral, nth-term test, 9-28-17, part 2
23 59:51 p-series, comparison, integral, nth-term test, 9-28-17, part 1
24 45:47 estimation with integral test, geom. series examples, 9-29-17
25 46:21 Limit Comparison Test, Alternating Series Intro, 10-2-17
26 59:51 absolute convergence, root and ratio test, some proofs, 10-3-17, part 1
27 11:09 absolute convergence, root and ratio test, some proofs, 10-3-17, part 2
28 52:28 convergent implies bounded, examples, 10-9-17
29 59:51 analyzing geometric series, convergence etc. 10-10-17 part 1
30 15:32 analyzing geometric series, convergence etc. 10-10-17 part 2
31 50:23 converge or diverge that is the question, 10-11-17
32 47:02 review for Test 2, 10-16-17
33 45:47 power series and the IOC and ROC basic terms, 10-18-17
34 59:51 deriving Taylor series directly and indirectly, 10-19-17, part 1
35 11:19 deriving Taylor series directly and indirectly, 10-19-17, part 2
36 50:01 more fun with power series, 10-20-17
37 47:20 discussion of Taylor's Theorem remainder, multiplying series, 10-23-17
38 59:51 binomial series, application to limits, 10-24-17, part 1
39 10:56 binomial series, application to limits, 10-24-17, part 2
40 46:37 power series calculations, 10-25-17
41 58:07 help with power series homeworks and examples, 10-26-17, part 1
42 15:54 power series calculation, 10-26-17, part 2
43 34:01 examples of power series, 10-27-17
44 49:11 power series geometric and otherwise, 10-30-17
45 59:51 power series calculation, 10-31-17, part 1
46 16:03 power series calculation, 10-31-17, part 2
47 47:23 power series help, 11-1-17
48 49:29 review for Test 3, 11-8-17
49 48:18 conic sections and select parametrizations, 11-10-17
50 52:28 parametric curve aka path plotting ideas, 11-13-17
51 59:51 paths and calculus, tangent lines, 11-14-17, part 1
52 12:42 paths and calculus, tangent lines, 11-14-17, part 2
53 46:53 parametric calculus, arclength and fun stuff, 11-15-17
54 59:51 polar coordinates and graphing, 11-16-17, part 1
55 12:44 polar coordinates and graphing, 11-16-17, part 2
56 48:12 area in polar coordinates, 11-17-17
57 42:14 parametrics and polar problems, 11-27-17
58 59:51 higher derivative parametric calculus, polar area, 11-28-17 part 1
59 6:39 higher derivative parametric calculus, polar area, 11-28-17 part 2
60 50:46 polar coordinate graphing, areas, curves, hwk help, 11-29-17
61 32:47 discussion of Quiz 4, preparing for Test 4, 12-4-17
62 20:07 differential equations begins, 12-6-17
63 59:51 DEqns, separation and integrating factor technique, 12-7-17, part 1
64 18:00 DEqns, separation and integrating factor technique, 12-7-17, part 2
65 47:18 differential equations and geometry, orthogonal trajectories, 12-8-17
66 59:51 solved problems in DEqns, 12-11-17
67 59:51 review for final exam, 12-12-17, part 1
68 13:12 review for final exam, 12-12-17, part 2