Course Preview A fundamental understanding of mathematics is critical in every occupation and nowhere is it more important than in games development. 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 be build your own maths library to replicate Unity’s Vector2, Vector3 and Matrix4x4 and some Mathf methods.
Learn how to program and work with: 2D and 3D Space, Points, Vectors, Matrices, Mapping from one coordinate system to another, Positioning Objects, Navigation ,Angles and Interpolation.
Penny de Byl
Author
I’m a full stack developer of most things computer sciency and academic with a true passion for teaching. I’ve been teaching others about games development, programming, computer graphics, animation and web design for over 25 years in universities in Australia and Europe at the full professor level. I’ve also consulted for Unity, SAE, the Australian Institute of Entertainment and Wikitude. My best selling textbooks including Holistic Game Development with Unity are used in over 100 institutions world-wide. My graduates work at companies like Apple, Ubisoft, LinkedIn and Deloitte Digital.
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Introduction and Welcome
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Join the H3D Student Community
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Bitwise Operations
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Bit Flags & Bitwise Operators
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Bit Mask Challenge Solution
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Bit Toggling and Unity Specifics
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Putting Bitboards Into Practice Part 1
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Putting Bitboards Into Practice Part 2
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Putting Bitboards Into Practice Part 3
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Location
Cartesian Coordinates & Points
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Plotting Points, A Simple Data Structure
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Practice Locating 2D Points on a Cartesian plane
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Calculating Distance Part 1
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Calculating Distance Part 2
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Vectors
Introduction To Vectors Part 1
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Introduction To Vectors Part 2
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Vectors Moving to a Point
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Calculating Vector Normals Quiz
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Derivation of Vector Angle Calculation
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Turn Angle and Distance Quiz
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Recreate Rotate and Translate Challenge Part 1
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Recreate Rotate and Translate Challenge Part 2
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3D Vector Mathmatics Quiz
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Intersections
Lines, Line Segments and Rays Part 1
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Lines, Line Segments and Rays Part 2
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Intersection of Two Line Segments
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Improving Line Intersection
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Line-Line Intersection Challenge
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Line-Plane Intersections, Projections and Reflections
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Unity specifics for Intersections
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More Unity Specifics Part 1
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More Unity Specifics Part 2
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Affine Transformations
An Introduction to Matrices
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Matrices: Data Structures and Algorithms Part 1
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Matrices: Data Structures and Algorithms Part 2
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Shear and Reflect Challenge
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Programming Quaternion Rotations
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Extracting the Rotation Axis and Angle
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Rotating With Quaternions
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Final Words
Final Version of Maths Scripts
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