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Math For Video Games: The Fastest Way To Get Smarter At Math by Udemy
Learn Math for Video Game Design & Coding through Solving fun Video Game Problems
Course Highlights
- Fundamental math concepts
- Number base manipulation including binary, decimal and hex
- Addition, subtraction, multiplication and division in multiple bases
- IEEE754 floating point and why it matters
- Deeply understand vector space in 2D, 3D and higher!
- Trigonometry calculations such as sin, cos and tan
- More advanced vector math such as dot and cross products
- Projectile motion mathematics
- Combinatorics and probability theory and where to use it
Skills you will learn!
Curriculum
28 Topics
Welcome To The Course
Addition & Subtraction
Rounding
Multiplication & Number Blocks
Division
Remainders
BODMAS
Quiz
Squaring Cubing & Powers
Sideways Calculators
Squaring Decimals
Reversing Powers
Quiz
Charts & Graphs 101
Area Under Chart 101
Gradient Of A Line
Distance Speed & Time
Quiz
Rates Of Change
The Magic of e
Logarithms 101
Logarithms - Changing Base
Factorials & Permutations
Number Bases
Scientific Notation
How To Pass Your First Math Checkpoint
Quiz
What Now?
24 Topics
Introduction: Algebra & Equations
Algebra 101
Inequalities
Plotting Graphs
Gradient and Intercept
Linear Equations
Quiz
Graphing Simultaneous Equations
Simultaneous Equations (Substitution)
Simultaneous Equations (Elimination)
Parallel Lines
Quiz
Parabolas
The Quadratic Equation
Intercept Form
The FOIL Method
Vertex Form
Quiz
Completing The Square Part 1
Completing The Square Part 2
Factoring Quadratics
Less than Two Roots
Quiz
Section Wrap-Up
21 Topics
Introduction: Angles and Circles
The Circle
What is Pi?
Degrees and Radians
Triangles
Quiz
Pythagorean Theorem
Sine Cosine and Tangent Part 1
Sine Cosine and Tangent Part 2
SOH CAH TOA
Quiz
The Sine Rule
The Cosine Rule
The Sine & Cosine Rules Explained
Solving Any Triangle
Quiz
Graphing Sine Cosine and Tangent
Manipulating Sine Waves
Combining Waves
Quiz
Section Wrap-up
24 Topics
Introduction: Vectors and Matrices
Reading and Writing Vectors
Magnitude vs Squared Magnitude
Coordinate Systems
Vector Addition
Scalar Multiplication
Quiz
Normalizing Vectors
Zero Vectors
Dot Product
Cross Product
Reflection
Project on a Plane
Quiz
What is a Matrix
Addition and Scalar Multiplication
Adjacency Matrix
Matrix Multiplication
Quiz
Identity Matrix
Determinant
Matrix Inverse
Quiz
Section Wrap-Up
22 Topics
Introduction: Rotation and Interpolation
Vector Direction
Imaginary Numbers
Complex Numbers
Complex Multiplication
Quiz
Polar Coordinates
Rotation Matrix
Euler Rotation
Gimbal Lock
Quiz
What are Quaternions?
Quaternion Multiplication Part 1
Quaternion Multiplication Part 2
Quaternion Rotation Part 1
Quaternion Rotation Part 2
Quiz
LERP
SLERP
Easing Functions
Quiz
Section Wrap-Up
25 Topics
Introduction: Probability and Statistics
Exploring Data
Percentages
Sigma Notation
Averages
Outliers
Quiz
Skewness
Interquartile Range
Standard Deviation
Correlation
Causation
Normalizing Data
Quiz
Probability 101
Consecutive Events
Complement Rule
Theoretical vs Experimental
Quiz
The Law of Averages
Bayes' Theorem
Cumulative Distribution Function
Elo Rating System
Quiz
Section Wrap-Up
2 Topics
That's All Folks
BONUS Lecture
Math For Video Games: The Fastest Way To Get Smarter At Math
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