Calculus 2

UGA MATH 2260, Fall 2014. techniques of integration, surface and volumes of revolution, arclength, limits and l'Hopital's rule, introduction to vectors.

dkrashen@math.uga.edu

Lecture 1: introduction and integration review

Lecture 2: integration practice (recitation)

Lecture 3: u-substitution for definite and indefinite integrals

Lecture 4: Areas between curves and volumes by cross-sections

Lecture 5: Volumes of revolution using disks and washers (recitation)

Lecture 6: More volumes of revolution and stuff

Lecture 7: Cylindrical shells

Lecture 8: Practice with Shells (recitation)

Lecture 9: Arclength

Lecture 10: Surfaces of revolution

Lecture 11: Practice (recitation)

Lecture 12: Various things

Lecture 13: The anti-product rule and unorthodox substitutions

Lecture 14: Integrating various things

Lecture 15: trig, trig, trig.

Lecture 16: Trig substitution and other things

Lecture 17: Trig substitution and some partial fractions

Lecture 18: Partial fractions!

Lecture 19: Improper integrals

Lecture 20: Overview, intro to limits

Lecture 21: Exam 2 review

Lecture 22: Exam 2 review, contd.

Lecture 23: Sequences!

Lecture 24: Sequences... why?

Lecture 25: Convergence of Sequences

Lecture 26: Series and convergence

Lecture 27: Power Series

Lecture 28: Radius of convergence and Fibonacci interlude

Lecture 29: The ratio and root tests

Lecture 30: Computing the radius of convergence and life on the boundary

Lecture 31: Practice with convergence; Taylor series

Lecture 32: Exam 3 Review

Lecture 33: Exam 3 Review, part 2

Lecture 34: Using Taylor series. Functions in more variables.

Lecture 35: Vectors and functions in higher dimensions.

Lecture 36: Multiplying vectors.

Lecture 37: Practice Integral.