Intro to 2D | SimonDev

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Game Math Explained Simply

Getting Started

Intro (0:37)

Vector Basics

Introduction & Outline (2:05)
Intro to Points & The Cartesian Coordinate System (6:19)
Simple Distance (2:50)
Intro to Vectors (7:12)
Vector Addition & Subtraction (11:44)
Associativity & Commutativity (3:59)
Intro to 2D (4:18)
Vector Addition & Subtraction in 2D (3:48)
Distance in 2D (7:25)

Vectors Continued

Introduction & Outline (3:33)
Normalized Vectors (10:39)
Vector Scaling (12:46)
Dot Product (14:57)
Cross Product (10:12)

Trigonometry

Introduction & Outline (3:42)
Degrees and Radians (7:04)
Basic Trigonometric Functions (11:33)
Vector/Angle Conversions (15:36)

Matrices & Quaternions

Introduction & Outline (2:47)
Matrices Basics (3:12)
Basic Matrix Math (12:20)
Visualizing Matrices (19:13)
Transformations & Homogeneous Coordinates (15:16)
Rotations and Gimbal Lock (20:11)
Complex Numbers (8:53)
Quaternions (34:23)

Boolean & Logical Operators

Introduction & Outline (3:09)
Logical Operators (6:45)
Bitwise Operators (9:14)
Bitflags (10:20)

Interpolation

Introduction & Outline (3:27)
Basic Linear Interpolation (16:04)
Shaping Functions (18:46)
Where Lerp Fails (10:27)
Colour Interpolation (16:27)
Vector Interpolation (9:57)
Log Lerp (3:26)

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Intro to 2D

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