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

Coding

Repl.it

In this module, we’ll be making use of Repl.it, an online IDE (integrated development environment) for Java and Python. It’s a way of writing code and running it right in your browser. You will see embedded runable code windows in the course. They look a bit like this (in Python):

You are also able to open the code in a full window by clicking the button in the embedded Repl.it frame. You can save your code by creating an account on Repl.it.

Click “Fork” to save it to your own Replit account. You can share your replit with me by clicking “Share” and inviting me (davidgundry on Replit).

You can find all the code for this course on Repl.it

Running Unit Tests

Several of the exercises give you a number of pre-written unit tests. These unit tests are to help you know when you’ve got the right answer. But just because the tests pass does not mean you code is correct - they are necessary, but not sufficient. It is possible to write code to pass the tests but not answer the question you’ve been given! Don’t do that!

The assessment for this module will involve writing code. I will provide unit tests for this as well, so it’s a good idea to get the hang of how they work as you make your way through the course.

Java

Projects with unit tests will have some extra files containg tests and some code in the main() method of the Main class for running them. You can see what the tests are doing by looking in the test files, which you can find through the “Files” icon in the menu on the left of the screen.

Python

You can tell a project has tests because there will be several additional files, including tests.py, and a .replit file. You want to write your code in main.py. It will likely show the wrong file by default! Click the “Files” icon on the vertical menu bar at the left side of the frame to switch to main.py.

When you run the project in Repl.it, it will run the tests. Make sure you name your functions correctly (as the question tells you to) so the tests can find them. Give it a try here (remember to change to main.py using the file menu):

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Getting Started

Introducing Mathematics