This series of videos focusing on calculus covers limit introduction, squeeze theorem, and epsilon-delta definition of limits.

Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can think about what the function "approaches" as it gets closer and closer to that point (this is the "limit"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.

This tutorial covers much of the same material as the "Limits" tutorial, but does it with Sal's original "old school" videos. The sound, resolution or handwriting isn't as good, but some people find them more charming.

This is the first of two collections of lecture notes used to teach first year calculus at San Jacinto College (Houston TX). The notes are formatted as presentation slides and were typeset using Beamer (LaTeX). All the main topics of a first semester course in calculus are addressed. In this sense, the notes are self-contained. However, if one deems it necessary to supplement the notes with a full textbook, I recommend one or more of these open-source textbooks:Hoffman, Dale, Contemporary Calculus. 2013Strang, Gilbert and Edwin Herman, Calculus Volume 2. 2016Guichard, David, Community Calculus. 2022

This is the second of two collections of lecture notes used to teach single-variable calculus at San Jacinto College (Houston TX). The notes are formatted as presentation slides and were typeset using Beamer (LaTeX). All the main topics of a second semester course in calculus are addressed. In this sense, the notes are self-contained. However, if one deems it necessary to supplement the notes with a full textbook, I recommend one or more of these open-source textbooks:Hoffman, Dale, Contemporary Calculus. 2013Strang, Gilbert and Edwin Herman, Calculus Volume 2. 2016Guichard, David, Community Calculus. 2022

This is a focused collection of notes for a course in precalculus math taught at San Jacinto College (Houston, Texas). In less than 260 pages, the course offers a compact delivery of the core concepts that students ought to understand prior to taking calculus. In addition to learning algebraic and computational skills, the course is designed for learning how to think mathematically. The chapters on mathematical language and problem-solving highlight this latter objective.