Introduction

Numerical Systems

Introduction Positional Notation Converting Between Bases Binary Addition Binary Multiplication Challenges (Python) Challenges (Java)

Modular Arithmatic

Introduction The Modulus Operator Cyphers Modular Arithmetic Modular Inverse Challenges (Java)

Algorithms

Introduction Algorithms Time Functions Asymptotic Complexity Summation Challenges

Propositional Logic

Introduction Propositional Logic Conjunction and Disjunction Implication and Equivalence Bitwise Operators Challenges

Set Theory

Introduction Sets Subsets and Supersets Set Operations Challenges

Graph Theory

Introduction Graphs Directed Graphs Structure of Language Search Trees Neural networks Game Object Trees Challenges Graph Question Generator

Proof

Introduction Proof Proof by Cases Proof by Contradiction Proof by Induction Challenges

Maths to Code

Maths to Code Challenges Question Generator

Descriptive Statistics

Introduction Statistics Measures of Central Tendency Measures of Spread Data Visualisation Correlation Challenges

Probability

Introduction Probability Basics Combinatorics Probability Trees Law of Total Probability Bayes Rule Challenges

Inferential Statistics

Introduction Probability Distributions Samples and Populations Hypothesis Testing Z Scores Student's T-Test Challenges

Problem Solving

Graphs are powerful abstractions to help us solve problems in computer science, such as routing internet traffic or finding the maximum flow through a network of pipes.

Games

Where games use discrete choises or states (such as board games, stratregy games, etc.) it can be helpful to represent them as graphs. Many common algorithms in games, such as for pathfinding and AI, use graphs.

Other Disciplines

Problems from a wide range of discplines can be modeled as graphs, from language structure to social networks to molecular biology.

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Getting Started

Introducing Mathematics

Numerical Systems

Modular Arithmatic

Algorithms

Propositional Logic

Set Theory

Graph Theory

Proof

Maths to Code

Descriptive Statistics

Probability

Inferential Statistics

Graph Theory

Problem Solving

Games

Other Disciplines