Mathematics Topic

Fundamentals

• Set theory

Analysis

Calculus

• Sequence and Series
• Limit
• Functions
• Derivatives
• Integration of functions

Basic Analysis

• Real Analysis
• Complex Analysis

Basic Algebra

Linear Algebra
Abstract Algebra (Group theory, ring theory, field theory)
Number theory
Communicative Algebra

Advanced Algebra

Modular forms

Topology and Geometry

Point set topology

Asymptotic counting analysis

Ternery numbers
Uniformly distribution

Combinatorics

Counting

Pascal's Triangle

Induction

Principle of Inclusion and exclusion

Introduction to Graph theory