Math 1080-041 (online), Long Summer 2021

Resources

Course calendar
Syllabus
Canvas: All of the course materials, including lecture videos and the daily schedule, will be posted here.
MyLab Math
General Math 1080 course webpage (includes practice exams, misc. resources, etc).

Pre-recorded lecture videos

I recorded the videos below in 2014. This represents a subset of the material that we will cover in this class. On certain days, I will ask you to watch one of these videos ahead of time. I will "give back" this extra time and more, by using class time to have you work on worksheets and homework in small groups.

Lecture 1: Area between curves (34:57). Briggs Section 6.2.
Lecture 2: Volumes by slicing (33:22). Briggs Section 6.3.
Lecture 3: Volumes by shells (15:48). Briggs Section 6.4.
Lecture 4: Work. Briggs Section 6.7.
Lecture 5: Lengths of curves (20:36). Briggs Section 6.5.

Lecture 6: Logarithms as integrals

Part 1

Part 2

Lecture 7: Inverse trigonometric functions (47:57). Briggs Section 3.10.
Lecture 8: L'Hospital's rule (37:29). Briggs Section 4.7.
Lecture 9: Integration by parts (33:25). Briggs 8.2.
Lecture 10: Trigonometric integrals (38:34). Briggs Section 8.3.
Lecture 11: Trigonometric substitutions (25:28). Briggs Section 8.4.
Lecture 12: Partial fraction decomposition (51:07). Briggs Section 8.5.
Lecture 13: Improper integrals (30:39). Briggs Section 8.9.
Lecture 14: Sequences (25:15). Briggs Section 10.2.
Lecture 15: Series (37:02). Briggs Section 10.3.
Lecture 16: The divergence and integral tests (14:42). Briggs Section 10.4.
Lecture 17: The ratio, root, & comparison tests (38:34). Briggs Section 10.5, 10.7.
Lecture 18: Alternating series (25:54). Briggs Section 10.6.
Lecture 19: Polynomial approximations (35:48). Briggs Section 11.1.
Lecture 20: Properties of power series (26:20). Briggs Section 11.2.
Lecture 21: Taylor series (53:42). Briggs Section 11.3.
Lecture 22: Parametric equations (56:45). Briggs Section 12.1.
Lecture 23: Polar coordinates (59:45). Briggs Section 12.2--12.3.