#
Calculus I

##
Fall 2022

This is the non-Courseworks version of the webpage for section 10 of calculus I, as offered in Fall 2022. The syllabus can be found here. Lecture notes, homework, and other materials will be posted throughout the course.

**Instructor:** Avi Zeff

**Time/place:** Tuesday and Thursday 4:10 - 5:25 PM, 407 Mathematics

**Office hours:** Thursday 5:30 - 7 PM, 507 Mathematics, and Friday 3:30 - 5 PM, 622 Mathematics

**TA:** Jacob Daum

##
Lecture notes

Lecture 1: introduction and functions

Lecture 2: more functions

Lecture 3: introduction to limits

Lecture 4: limit laws and the squeeze theorem

Lecture 5: continuity and discontinuities

Lecture 6: asymptotes

Lecture 7: introduction to derivatives (slides)

Lecture 8: product and quotient rules (slides)

Lecture 9: chain rule

Lecture 10: exponentials and logarithms

Lecture 11: general functions and differentiability

Lecture 12: first applications and related rates

Lecture 13: extrema and critical points

Lecture 14: optimization

Lecture 15: mean value theorem and L'Hopital's rule

Lecture 16: graphs and Newton's method

Lecture 17: integrals

Lecture 18: fundamental theorem of calculus

Lecture 19: \(u\)-substitution

Lecture 20: applications of integrals

##
Homework

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

Homework 7

Homework 8

Homework 9

##
Other materials

Examples of standards

Survey

Practice problems for midterm 1

Practice problems for midterm 2

Practice problems for midterm 3

Practice problems for midterm 4

Practice problems for the final exam

Project guidelines