Foundations of 2D and 3D Computer Graphics Transformations

Behind every moving character, rotating camera, and scaling object in modern digital environments lies the mathematics of geometric transformations. Understanding how to manipulate points and vectors in coordinate space is the foundational skill required for game development, simulation software, and user interface design. This text-only course guides you through the fundamental mathematics of computer graphics from the ground up, helping you translate theoretical concepts into practical equations. What you'll learn: Understand coordinate systems and vector basics in both 2D and 3D environments; Apply translation, rotation, scaling, reflection, and shearing transformations to geometric points; Master matrix representation and homogeneous coordinates to combine multiple transformations; Calculate compound transformations using matrix multiplication for efficient rendering pipelines; Solve practical geometric problems using step-by-step mathematical formulas. You will start with foundational definitions of space and coordinates before moving on to individual transformation matrices and complex composite operations used in modern graphics systems. Designed for aspiring game developers, software engineers, and digital artists with basic algebra knowledge, this course requires no prior graphics experience. Step into the mathematical world of computer graphics and start transforming your ideas today.