Lecture 1: Substitution and area
between curves (34:57). Briggs/Cochran Section 6.2.
Lecture 2:
Volumes by slicing (33:22). Briggs/Cochran Section 6.3.
Lecture 3:
Volumes by shells (15:48). Briggs/Cochran Section 6.4.
Lecture 4:
Lengths of curves (20:36). Briggs/Cochran Section 6.5.
Lecture 5:
The natural logarithm and exponential functions
(10:26). Briggs/Cochran Section 7.2.
Lecture 6:
Logarithms in other bases (13:28). Briggs/Cochran Section 7.3.
Lecture 7:
Inverse trigonometric functions (47:57). Briggs/Cochran Section 7.5.
Lecture 8:
L'Hospital's rule (37:29). Briggs/Cochran Section 7.6.
Lecture 9:
Integration by parts (33:25). Briggs/Cochran Section 8.1.
Lecture 10: Trigonometric integrals (38:34).
Briggs/Cochran Section 8.2.
Lecture 11:
Trigonometric substitutions (25:28). Briggs/Cochran Section 8.3.
Lecture 12:
Partial fraction decomposition (51:07). Briggs/Cochran Section 8.4.
Lecture 13:
Improper integrals (30:39). Briggs/Cochran Section 8.7.
Lecture 14: Sequences (25:15). Briggs/Cochran Section 9.1, 9.2.
Lecture 15: Series (37:02). Briggs/Cochran Section 9.1, 9.3.
Lecture 16: The divergence and integral tests (14:42). Briggs/Cochran Section 9.4.
Lecture 17:
The ratio, root, & comparison tests (38:34). Briggs/Cochran Section 9.5.
Lecture 18: Alternating series (25:54). Briggs/Cochran Section 9.6.
Lecture 19: Polynomial approximations (35:48). Briggs/Cochran Section 10.1.
Lecture 20: Properties of power series (26:20). Briggs/Cochran Section 10.2.
Lecture 21: Taylor series (53:42). Briggs/Cochran Section 10.3--10.4.
Lecture 22: Parametric equations (56:45). Briggs/Cochran Section 11.1.
Lecture 23: Polar coordinates (59:45). Briggs/Cochran Section 11.2--11.3.