Calculus I

Lecture notes I am writing as I go, teaching Calculus I at USF in Fall 2022. These are my personal notes, meaning that they are what I write to myself while planning a lecture, and not polished expository documents. Nevertheless, I am experimenting with making them public as I write them, in case it benefits anyone.

Lectures

The Concept of a Function:

Elementary Functions:

The Concept of a Limit:

Computing Limits:

Continuity:

Derivatives Intro:

The Power Rule:

Derivatives Of Exponentials, Sine and Cosine:

Derivatives Sum Product:

Derivatives Chain Rule:

Differentiation Implicit:

Derivative Inverse:

Related Rates: