Math 1080 (online), Summer Session II, 2016

# Math 1080 (online), Summer Session II, 2016

Class: Calculus II.

### Lectures

All 23 lectures are posted 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: Area between curves (34:57). Stewart: Section 6.1.
Lecture 2: Volumes by slicing (33:22). Stewart: Section 6.2.
Lecture 3: Volumes by shells (15:48). Stewart: Section 6.3.
Lecture 4: Work. Stewart: Section 6.4.
Lecture 5: Lengths of curves (20:36). Stewart: Section 8.1.
Lecture 6: Logarithms as integrals. Part 1 (10:27), Part 2 (13:28). Stewart: Appendix G.
Lecture 7: Inverse trigonometric functions (47:57). Stewart: Section 1.5.
Lecture 8: L'Hospital's rule (37:29). Stewart: Section 4.4.
Lecture 9: Integration by parts (33:25). Stewart: 7.1.
Lecture 10: Trigonometric integrals (38:34). Stewart Section 7.2.
Lecture 11: Trigonometric substitutions (25:28). Stewart: Section 7.3.
Lecture 12: Partial fraction decomposition (51:07). Stewart: Section 7.4.
Lecture 13: Improper integrals (30:39). Stewart: Section 7.8.
Lecture 14: Sequences (25:15). Stewart: Section 11.1.
Lecture 15: Series (37:02). Stewart: Section 11.2.
Lecture 16: The divergence and integral tests (14:42). Stewart: Section 11.3.
Lecture 17: The ratio, root, & comparison tests (38:34). Stewart: Section 11.6.
Lecture 18: Alternating series (25:54). Stewart: Section 11.5.
Lecture 19: Polynomial approximations (35:48). Stewart: Section 11.8.
Lecture 20: Properties of power series (26:20). Stewart: Section 11.8--11.9.
Lecture 21: Taylor series (53:42). Stewart: Section 11.10.
Lecture 22: Parametric equations (56:45). Stewart: Section 10.1--10.2.
Lecture 23: Polar coordinates (59:45). Stewart: Section 10.3--10.4.