Release date:2020, April 21

Author: Penny de Byl

Skill level:Beginner

Language:English

Exercise files:Yes

Did you know computer games use mathematics to perform every single task, from rendering to animation and physics to AI? Mathematics is everywhere. A fundamental understanding of mathematics is critical in every occupation and nowhere is it more important than in games development. It underpins all primary operations performed by a game engine. You can’t even move a character across the screen without it. Keen to learn more and build up your knowledge in mathematics to improve your game development skills? Then this course is for you. In this course you will build your own C# classes to work with the geometrical constructs of 2D and 3D space that will develop your understanding of positioning and moving game objects. In short you will build your own maths library to replicate some of Unity’s Vector2, Vector3, Matrix4x4 and some Mathf methods. Throughout, we will be using the Unity Game Engine to help emphasise the mathematics concepts. During the course we will be building a game that not only uses the code we’ve written to move 2D and 3D objects around on the screen, but to play the game you will have to use your knowledge of points and vectors to solve puzzles that will reinforce your learning.

01. Welcome 01. Bits, Bytes and Binary 03. Bit Flags & Bitwise Operators 04. Turning Bit Flags Off 05. Bit Masks 06. Bit Mask Challenge Solution 07. Bit Shifting 09. Bit Toggling and Unity Specifics 10. Bitboards 11. Putting Bitboards Into Practice Part 1 12. Putting Bitboards Into Practice Part 2 13. Putting Bitboards Into Practice Part 3 01. Cartesian Coordinates & Points 02. Plotting Points A Simple Data Structure 03. Drawing Lines Solution 04. Graph Line Challenge 05. Practice Locating 2D Points on a Cartesian Plane 06. Calculating Distance Part 1 08. Calculating Distance Part 2 01. Introduction to Vectors Part 1 02. Introduction to Vectors Part 2 04. Vectors Moving to a Point 06. Vector Normal Form 08. Dot Product 11. Rotations 12. Cross Product 14. 2D LookAt Challenge 15. Dot Cross Challenge 16. Challenge Solutions 18. Recreate Rotate and Translate Challenge Part 1 19. Recreate Rotate and Translate Challenge Part 2 20. Moving from 2D to 3D 23. Exploring Rotation in 3D 01. Lines, Line Segments and Rays Part 1 02. Lines, Line Segments and Rays Part 2 04. Planes 06. Another Line Constructor 07. Intersection of Two Line Segments 08. Improving Line Intersection 10. Line-Line Intersection Challenge 11. Line-Plane Intersections 12. Line-Plane Intersections, Projections and Reflections 13. Plane Reflections 14. Unity Specifics For Intersections 15. More Unity Specifics Part 1 16. More Unity Specifics Part 2 01. An Introduction to Matrices 03. Homogeneous Coordinates 04. Transformations 05. Matrices Data Structures and Algorithms Part 1 06. Matrices Data Structures and Algorithms Part 2 07. Translation 08. Scaling 09. Rotation 10. Affine Transformations 11. Shear and Reflect Challenge 12. Quaternions 14. Programming Quaternion Rotations 15. Extracting the Rotation Axis and Angle 16. Quaternion Rotations 02. Some Final Words from Penny 03. Where to now [Udemy] Mathematics for Computer Games Development using Unity.7z

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