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Summary of Single Variable Calculus


Prerequisites:

Math:
-Precalculus


These are my complete notes for Single Variable Calculus, covering such topics as Limits, Derivatives, the relation between Position, Velocity, and Acceleration, Concavity, Optimization, Integration, and more.

I color-coded my notes according to their meaning - All numbered notes (which I call rules) are red, and include examples and the basis for understanding a topic. Definitions are written in green, and other important information (such as large-scale drawings that are better visualized than explained) was written in blue. All of this information is preserved on this page, with logical flow and breaks. I use ascii line drawings sparingly - If I can convey information or a graph using an image online, I will do so.

All of the knowledge present in these notes are filtered through my personal explanations for them, the result of my attempts to understand and study them from my classes. In the unlikely event there are any egregious errors, contact me at jdlacabe@gmail.com.


List of Single-Variable Calculus Equations INCOMPLETE


Complete Summary of Differential Calculus. NOT STARTED

This contains all the notes for Part 1 found below in one page.

Complete Summary of Integral Calculus. NOT STARTED

This contains all the notes for Part 2 found below in one page. NOTE: These are very large webpages that may render very slowly on some browsers. Each of the sub-subcategories below are linked to eachother at the bottom to allow for easy access.


Part 1. Differential Calculus.

I. Limits. NOT STARTED



Part 2. Integral Calculus.