I’ve typeset a number of documents about math. Some of them try to explain difficult concepts, while others are references guides or were created just for my own amusement.
- Calculus: Intuitive
Explanations – The document I
am the most proud of. 67 pages of clear explanations of concepts
that are typically handled poorly in the classroom, including:
- the formal definitions of limits and integrals;
- the fundamental theorem of calculus;
- sequence and series theorems; and
- vector analysis definitions and theorems.
- Differential Equation Solution Strategies – Summary of strategies for solving different types of differential equations, with proofs. Good if you’ve forgotten your differential equations class, but note that there are a lot more techniques than this (of which I am happily oblivious).
- Linear Algebra Summary Sheet – Reference sheet for linear algebra theorems, grouped by topic. Helped me review; probably not so helpful for learning.
- Calculus Bowl: Expert Edition – First-year calculus trivia questions, if you’re into that kind of thing.
- Probability Distributions: Means and Variances – Exactly what it says on the tin. Some proofs of results commonly useful in probability and statistics.
- Picard-Lindelöf Theorem – Proof of the existence-uniqueness theorem for first-order ordinary differential equations. I wrote this back when I thought I was supposed to understand everything in my textbooks. Probably overcomplicated, because it wasn’t a good textbook.