# Calculus II

## Spring 2022

This is the non-Courseworks version of the webpage for section 3 of calculus II. The syllabus can be found here.

**Instructor:** Avi Zeff

**Time/place:** Monday and Wednesday 6:10 - 7:25 PM, Mathematics 407

**Office hours:** Tuesday (Uris 328) and Thursday (406 Hamilton) 3 - 4:30 PM

**TA:** Andrew Park, office hours 2 - 4 PM Monday in Milstein 502

## Lecture notes

Lecture 1: review of calculus I

Lecture 2: integrals and volume

Lecture 3: integration by parts

Lecture 4: trigonometric substitution

Lecture 5: partial fractions

Lecture 6: improper integrals

Lecture 7: arc length

Lecture 8: surfaces of revolution and polar coordinates

Lecture 9: polar coordinates and complex numbers

Lecture 10: parametric curves

Lecture 11: first-order differential equations

Lecture 12: second-order differential equations

Lecture 13: integrating factors and the Laplace transform

Lecture 14: sequences and series

Lecture 15: first convergence tests

Lecture 16: more convergence tests

Lecture 17: power series

Lecture 18: Taylor series

Lecture 19: more Taylor series

## Homework

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

Homework 7

Homework 8

Homework 9

Homework 10

Homework 11

## Other materials

Computing (1/2)!

Partial fractions with more than two terms

Project guidelines

Practice problems for midterm 1

Practice problems for midterm 2