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0:10:38
Finding the parametric curve of the Witch of Maria Agnesi
0:23:43
Deriving the angle-sum trigonometric identities
0:13:28
Phase-amplitude decomposition of sums of cosine and sine terms
0:26:35
Computing an example Fourier series and analyzing the series
0:07:37
Example solid of revolution volume calculation
0:11:34
Example of L’Hospital’s rule problems
0:22:52
Arc length of parameterized curves in 2D
0:16:30
Computing volumes with cylindrical shells
0:33:54
Computing volumes with integrals
0:23:26
Areas between curves
0:12:15
Examples of improper integral calculations
0:16:11
Improper integrals of unbounded functions
0:17:01
Why evaluating integrals with the fundamental theorem works: a proof.
0:07:58
Indefinite versus definite integrals
0:22:30
Evaluating definite integrals using the fundamental theorem
0:28:00
Improper integrals: integrating over infinite domains.
0:19:48
More partial fractions examples
0:29:16
Integration using partial fractions—an introduction
0:25:16
Trigonometric substitution example problem: int sqrt(x^2+1)dx
0:19:45
Ten properties of the Riemann integral
0:21:56
Examples of Riemann sums
0:32:05
The Riemann integral defined simply
0:13:27
Complex eigenvalue example
0:16:04
Example matrix eigenvalue problem
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