Math-Summaries

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.

Multivaraible Calculus (multiCalc)

This covers topics typically found and an undergraduate multivaraible calculus course, like multiple integrals, Green's Theorems, and Stokes's Theorem. The chapters are:

1. Background & Review
2. Vector-Valued Functions (VVFs)
3. Differential Multivariable Calculus
4. Multiple Integrals
5. Curvilinear Coordinates
6. Line and Surface Integrals
7. Vector Analysis
8. Additional Materials

Differential Equations (diffEq)

This covers topics typically found in an undergraduate introductory differential equations course. Most discussion is limited to Ordinary Differential Equations (ODEs). The chapters are:

1. Background & Review
2. The Basics of Differential Equations
3. 1st Order Linear ODE's
4. Higher Order ODE's
5. Linear Systems of Differential Equations
6. Laplace Transforms
7. Additional Resources

How to Compile (make into a PDF)

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 commandline by running

$pdflatex main.tex

How to Contribute

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 till 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 the public domain.

Notes

• The differential equations work has the option to not include certain chapters or examples in certain chapters when compiled to a PDF. By default, all chapters and examples are included. If you would like to change these options before compiling change the relevant \def line in the main.tex file.