Getting Started

Welcome Who am I? Coding Assessment

Introducing Mathematics

Course Introduction Challenges

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

Maths to Code

The lecture course was originally planned for there to be a reading week. So this is a bonus lecture. By popular request, it’ll be on how to convert maths to code.

This lecture will be delivered live, so there are not any videos to watch.

The slides for this lecture are be available here

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

Standard Deviation Example

Here is my example code converting the standard deviation of a sample formula to code. This makes use of lambdas in Java which I would not expect you to be able to use in your first year!

\( SD = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \overline{x})^2}{n - 1}} \)

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