These are LaTeX summaries of various math courses. They are meant to be longer and more in-depth than a formula sheet and also shorter and less formal than a textbook.
This covers topics you'd find on the AP AB/BC exams, which are the same topics you'd see in undergraduate Calc I and Calc II courses. The chapters are:
- Background & Review
- Limits & Continuity
- Derivatives
- Applications of the Derivative
- Integrals
- Applications of Integrals
- Parametrics, Vector, & Polar Functions
- Sequences, L'Hôpital's Rule, & Improper Integrals
- Infinite Series
- Additional Materials
This covers topics typically found and an undergraduate multivaraible calculus course, like multiple integrals, Green's Theorems, and Stokes's Theorem. The chapters are:
- Background & Review
- Vector-Valued Functions (VVFs)
- Differential Multivariable Calculus
- Multiple Integrals
- Curvilinear Coordinates
- Line and Surface Integrals
- Vector Analysis
- Additional Materials
This covers topics typically found in an undergraduate introductory differential equations course. Most discussion is limited to Ordinary Differential Equations (ODEs). The chapters are:
- Background & Review
- The Basics of Differential Equations
- 1st Order Linear ODE's
- Higher Order ODE's
- Linear Systems of Differential Equations
- Laplace Transforms
- Additional Resources
Simply download the folders for each work you like to build and compile the main.tex file using a tool like pdflatex. Most LaTeX IDEs (like TeXStudio) have this functionality built-in. You can also use pdflatex to compile directly from the command line by running
$ pdflatex main.texin the appropriate project folder (i.e. diffEq)
The easiest way to contribute is to fork the repository, make your changes in the LaTeX documents, and submit a pull request. However, if you don't know LaTeX, there are still other ways to contribute. One of the most-needed non-LaTeX items are figures: to avoid copyright claims, images should either be created by contributors themselves or belong to the public domain.