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source: James Cook 2016年9月1日

Here I collect the Lectures from Math 132 section 3 at Liberty University. We use Salas, Hille and Etgen this semester. However, I often reference my own notes which can be found at www.supermath.info. This course covers integration techniques, sequences and series, basic first order DEqns, parametrized curves in plane, polar coordinates and power series calculation.

L1, trigand hyperbolic functions, 8-30-16, part 1 59:51

L1, trigand hyperbolic functions, 8-30-16, part 2 10:43

L2, examples and IBP introduced, 8-31-16 51:49

L3, IBP with loops and all, 9-1-16 50:29

L4, integrals of trig functions, 9-2-16 48:47

L5, trigonometric substitution ftw , 9-6-16 52:19

L6, hyperbolic substition ftw , 9-7-16 47:08

L7, partial fractions ftw , 9-8-16 52:14

L8, partial fractions ftl, 9-9-16 50:14

L9, rationalizing substituions including Weierstrauss' neat idea, 9-13-16 50:59

L10, numerical integration, 9-14-16 49:06

L11, infinitesimal method examples, 9-15-16 53:55

L12, surface area and work, 9-16-16, part 1 25:21

L12, surface area and work, 9-16-16, part 2 10:55

L13, first order differential equations, 9-21-16 47:39

L14, integrating factor technique, applications of first order DEqns, 9-22-16 53:40

L15, orthogonal trajectories, 9-23-16 39:20

L16, real numbers and sequences, 9-27-16 45:38

L17, increasing or decreasing sequences, bounds, 9-28-16 46:11

L18, L'hopital's rule, 9-29-16 55:34

L19, bounded monotonic theorem, Lhop rule, 9-30-16 50:28

L20, discussion of sequences homework, 10-3-16 45:28

L21, improper integration, 10-4-16 29:38

L22, improper integrals, 10-5-16 48:51

L23, review for Test 2, 10-10-16 50:20

L24, definition of series, geometric and telescoping, 10-12-16 52:40

L25, k-th term test, integral test, p-series, direct comparison, 10-13-16 49:59

L26, shifting sums, limit comparision test, 10-14-16 42:32

L27, ratio and root tests, 10-17-16 24:01

L28, alternating series, 10-18-16 39:42

L29, alternating series estimation theorem, 10-19-16 35:22

L30, Taylor Polynomials and Approximation of Functions, 10-20-16 49:02

L32, power series domain theorem and examples, 10-25-16 45:37

L33, natural log series, binomial series, 10-26-16 39:41

L34, power series calculation,10-27-16 51:52

L35, proof of Taylor's Theorem, a word on analyticity,, 10-28-16 47:27

L36, stories of Paul, 10-31-16 12:47

L37, solution to Quiz 10 aka Test 3 of Spring 2016, 11-1-16 38:31

L38, introduction to vectors in the plane, 11-4-16 47:26

L39, parametrizing line segments, ellipses, and hyperbolas, 11-7-16 44:16

L40, post mortem of Test 3, parametric curves, 11-9-16 48:16

L41, parametrized curves and calculus, 11-10-16 55:11

L42, motion in 2D and arclength, 11-11-16 51:13

L43, polar coordinates and graphing, 11-14-16 46:22

L44, area in polar coordinates, 11-15-16 14:17

L45, soln to Quiz, area in polar coordinates, 11-16-16 40:21

L46, arclength in polar coordinates, 11-17-16 50:12

L48, symmetry in polar graphs, parametrize pacman, 11-18-16 46:12

L49, centroids and surface area, 11-28-16 52:15

L50, homework on paths, 11-29-16 49:18

L51, solution to Quiz 12, arclength problem, 12-1-16 30:01

L52, solution to Test 4, December 2016 59:51

L53, Fourier Series, December 2016 45:55

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