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Introduction

Course Overview
Mathematical Thinking
- Problem Solving
- Proof Techniques
Mathematics Knowledge Graph

Interactive Tools

Interactive Python
Bayesian Knowledge Tracing X Knowledge Graph Framework

Number Systems

Overview
Practical Considerations

Algebra

Expressions Manipulation
Factorization
Algebraic Fractions
Equations
Inequalities
Advanced Topics

Functions

Fundamentals
Properties
Types And Graphs
Transformations

Sequences and Series

Introduction
- Patterns Recognition
- Term Formulas
Arithmetic
Geometric
Advanced

Indices and Logarithms

Indices
Logarithms

Complex Numbers

Introduction
Operations
Advanced

Differential Calculus

Foundations
Techniques
Applications

Integral Calculus

Foundations
- Antiderivatives
- Indefinite Integrals
Techniques
Applications

Length, Area, and Volume

2D Shapes
3D Shapes

Coordinate Geometry

Line
Circle

Synthetic Geometry

Fundamentals
Triangles Quadrilaterals
Circles
Proofs Constructions

Trigonometry

Right Triangles
- Trigonometric Ratios
- Practical Applications
Angle Measure
- Degrees Radians
- Unit Circle
Trigonometric Functions
Advanced

Financial Mathematics

Fundamentals
Applications

Proof by Induction

Principles
- Mathematical Induction
- Summation Formulas
Applications

Statistics

Data Fundamentals
Data Representation
Descriptive Statistics
Inferential

Probability

Fundamentals
Counting
Rules
Distributions

Exam Preparation

Study Strategies
Problem Solving
- Exam Techniques
- Common Question Types

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Interactive Python

Interactive Python#

Pyodide Python Playground (Sphinx Compatible)

Pyodide Test Page

Open your browser console to see Pyodide output

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