What you'll learn
Integrals, including approximating area, the dreaded Fundamental Theorem of Calculus, and every kind of integration technique
Applications of Integrals, including volume of revolution with disks, washers and shells, and all kinds of real world applications
Polar & Parametric, including how to sketch polar curves and find the area bounded by polar curves
Sequences & Series, including all the convergence tests, and Taylor and Maclaurin series

⭐⭐⭐⭐TIME STAMP⭐⭐⭐⭐⭐
0:00:00 Area Between Curves
0:10:53 Volumes of solids of Revolution
0:21:15 volumes using cross-sections
0:31:16 Arclength
0:39:31 Work as an Intergral
0:51:12 Average Value of a Function
0:58:47 Proof of the mean value theorem for intergrals
1:04:37 intergration by parts
1:12:45 table method for intergration by parts by morgan goetz
1:16:51 Trig identities
1:28:49 proof of the angle sum formulas
1:33:25 intergrals involving odd powers of sine cosine
1:40:09 Intergrals involving even powers of sine cosine

1:48:47 special trig intergrals
1:51:24 intergration using trig substitution
2:00:10 intergrals of rational functions
2:07:47 improper intergrals type 1
2:14:01 improper intergrals type 2
2:18:08 the comparison theorem for intergrals
2:23:31 Sequence - Definitions and Notation
2:34:54 Series definitions
2:43:29 Sequence - more definitions
2:49:54 monotonic and bounded sequence extra
2:53:35 L'Hospital' Rule
3:00:50 L'Hospital's Rule on other indeterminate forms
3:10:36 convergence of sequences
3:34:26 Geometric Series
3:47:20 koch's intergral problem
3:55:01 The integral test
4:08:17 Comparison test for series
4:14:58 the limit comparison test
4:20:53 proof of the limit comparison test
4:27:29 Absolute convergence
4:36:32 The ratio test
4:41:51 proof of the ratio test
4:51:03 Series convergence test strategy
5:01:55 Taylor series test Strategy
5:13:57 Power SEries
5:17:11 Convergence of power series
5:32:36 Power series interval of convergence Example
5:42:15 proofs of facts about convergence of power series
5:47:48 Power series as functions
5:55:05 representing functions with power series
6:03:36 Using taylor series to find sums of series
6:13:47 taylor series theory and remainder
6:27:07 Parametric Equations
6:38:35 slopes of parametric curves
6:44:16 Area under a parametric curve
6:49:36 Arclength of parametric curves
6:56:49 Polar coordinates

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