Essential Mathematics for Game Developers

Course Curriculum

Chapter 1: Basic Math Refresher

Lecture 1: Section Overview

Lecture 2: Math with Unity

Lecture 3: Math Operators

Lecture 4: Math with the Vector Class

Lecture 5: BODMAS

Lecture 6: Unity Built-in Math Functions

Chapter 2: Vectors and Points

Lecture 1: Section Overview

Lecture 2: What is a vector?

Lecture 3: Getting a vector’s length or magnitude

Lecture 4: Manually creating a vector class

Lecture 5: Moving an Object Along a Vector

Lecture 6: Getting distances between two objects

Chapter 3: Quaternions and Euler Angles

Lecture 1: Section Overview

Lecture 2: What are Quaternions and Euler Angles?

Lecture 3: Converting from Quaternions to Euler angles and vice versa

Lecture 4: Manually Lerping rotations

Lecture 5: Using Atan to Calculate Radians and convert them to Quaternions

Lecture 6: Difference between Atan and atan2

Chapter 4: Trigonometry

Lecture 1: Section Overview

Lecture 2: What is Trigonometry and Pythagorean theorem

Lecture 3: Getting the angle of an object through a vector

Lecture 4: Getting a vector direction through the angle

Lecture 5: Calculating an angle of a triangle given 2 angles

Lecture 6: Making an object look at another through trigonometry

Chapter 5: Ray casts and Reflections

Lecture 1: Section Overview

Lecture 2: Ray cast: how to cast and visualize a ray

Lecture 3: Return an angle based on the angle the ray

Lecture 4: Calculating a deflection based off a ray's impact angle

Lecture 5: The math of Light reflections

Lecture 6: Creating a laser minigame with ray casts

Chapter 6: Generating Textures and Terrain Through Noise

Lecture 1: Section Overview

Lecture 2: Generating Noise Through Code

Lecture 3: The Difference Between Certain Types of Noise

Lecture 4: The Math Behind Perlin Noise

Lecture 5: Generating a texture with Perlin Noise

Lecture 6: Generating a Mesh with Perlin Noise

Chapter 7: Physics and Mechanics

Lecture 1: Section Overview

Lecture 2: Introduction to Physics

Lecture 3: RigidBodies

Lecture 4: Colliders and Triggers

Lecture 5: Physics Materials

Lecture 6: Basic physics based game demo

Chapter 8: Stealth Game

Lecture 1: Section Overview

Lecture 2: Basic Character with Controls and Camera Follow

Lecture 3: Make a guard that patrols and rotates based on facing direction

Lecture 4: Change color of guard's spotlight when detected

Lecture 5: Lerping the color change and giving a small time gap before being detected

Lecture 6: Adding a win and lose screen