Subjects



Here are some of the subjects I tutor, listed by education level. This list is meant to be a guideline but whether or not I can help may depend on your particular situation 1


University Lower Division and Below



All Mathematics, Physics, Statistics, and Computer Science


University Upper Division



Mathematics

Calculus:
Single variable, Multivariable

Algebra:
Linear, Abstract, Commutative, Homological

Number Theory:
Foundations, Modular Arithmetic, Quadratic Reciprocity, Applications to Cryptography

Analysis:
Real, Complex, Functional

Topology:
Point-set, Algebraic

Geometry:
Formal, Differential, Algebraic

Logic/Foundations:
Proofs, Mathematical Logic, Set Theory, Order Theory, Category Theory

Probability:
Combinatorics, Discrete Probability, Random Variables, Stochastic Processes



Statistics

Description:
Classic descriptive methods, Exploratory analysis, visualization

Inference:
Parametric and Non-parameteric Estimation, Hypothesis Testing, Confidence Regions, Bootstrap

Models and Methods:
Linear and Logistic Regression



Computer Science

Foundations2:
Discrete Math, Set Theory, Proofs, Logic, Induction, Recursion, Algebraic Structures, Enumeration and Randomness

Programming:
Fundamentals, Functional, Object-Oriented

Algorithms and Data Structures:
Complexity and Asymptotic Analysis, Abstract Data Types, Searching, Sorting, Graphs

Languages and Tools3:
Python (I), SQL (B), C++ (B), HTML & CSS (B), Git (B), Jupyter Notebook (B)



Machine Learning

Stay Tuned!


1. Please be aware that creating a precise, comprehensive list is challenging — there can be overlap between subjects, each subject can be taught/studied at several levels, and maybe taught differently at different schools. Also, the subjects as listed correspond to "pure" math courses (which are usually offered by a math department) as opposed to "applied" math course (which may be offered by a math department or within other science departments).

As an example, I've helped students in master's programs for chemical engineering and atmospheric sciences, even though their classes weren't math classes per se. If you don't see exactly what you're looking for on this list, please contact me — there's a good chance I may be able to help.

2. The contents of this UW course and this one are a good gauge.

3. B = Basic, I = Intermediate