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

Course Introduction

This lecture will be delivered live, so there are not any videos to watch. The content of the course will be introduced, and we will talk about what mathematics is.

Most of the time maths is taught as a bunch of disconnected rules for solving particular problems: how to add numbers, how to differentiate a function, and so on. And these rules are often exceedingly useful. However, I find it helpful to have a broader perspective that puts these rules in context. To me, at least, it makes maths seem less intimidating and more like… a game.

I’ll be giving a mostly Formalist account, but there are other ways of thinking about maths. And if you’re not big on philosophy, you don’t need to worry about this bit.

The slides for the introduction to the course are available here

During the first week’s practical, we will be working on the challenges found here

Improve this page

Getting Started

Introducing Mathematics