Personal Math Guide

The intent of these pages is to create a basic guide to many high school and early college math topics that do not have very clear and concise information online. Feel free to use it and to add contributions on GitHub after reading the style guide. The mathematical expressions are formatted using KhanAcademy's `\KaTeX`.

The primary sections (so far) are as follows:

• Algebra
  • Sequences and Series
• Trigonometry
• Mathematical Proof
• Single-variable Calculus
• Differential Equations
• Multi-variable Calculus
• Abstract Algebra
• Unsorted

Algebra

• Componendo and Dividendo

Sequences and Series

• General Notes
• Arithmetic and Geometric
• Convergence Tests

Trigonometry

• Law of Sines
• Law of Cosines
• Angle Addition Identities

Single-variable Calculus

• Epsilon-Delta Limits
• Definition of a Derivative
• Special Trigonometric Integrals

Multivariable Calculus

• Partial Derivatives

Differential Equations

• Basic Terminology
• Characteristic Equations

Abstract Algebra

• Introduction to Group Theory

Unsorted

• Classical Logic and Proof by Contradiction
• First-Order Logic
• Function Glossary: Injection, Surjection, and Bijection