Math 1080 (online), Summer Session II, 2014

# Math 1080 (online), Summer Session II, 2014

Class: Calculus II.

Instructor: Dr. Matthew Macauley

### Lectures

I will post all 24 lectures on YouTube. To avoid blurriness, these are best viewed by changing the settings to 720p (High Definition) rather than the default of 240p. This can be easily done by clicking the "wheel" on the lower right corner; right next to the "cc" button.

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.