Module #1 Introduction to Rigid Body Dynamics Overview of rigid body dynamics, importance in game physics, and course objectives
Module #2 Mathematical Preliminaries Review of vectors, matrices, and quaternions; mathematical concepts necessary for understanding rigid body dynamics
Module #3 Rigid Body Definition and Properties Definition of a rigid body, position, orientation, and linear and angular velocity
Module #4 Coordinate Systems and Frames World, local, and intermediate coordinate systems; importance of frame selection in rigid body dynamics
Module #5 Rotation Representations Euler angles, rotation matrices, and quaternions; advantages and disadvantages of each representation
Module #6 Angular Velocity and Acceleration Definition and calculation of angular velocity and acceleration; importance in rigid body dynamics
Module #7 Linear Velocity and Acceleration Definition and calculation of linear velocity and acceleration; importance in rigid body dynamics
Module #8 Kinematics of Rigid Bodies Description of rigid body motion; forward and inverse kinematics
Module #9 Forces and Torques Types of forces and torques; calculation of net force and torque
Module #10 Newtons Laws of Motion Application of Newtons laws to rigid body dynamics; F=ma and τ=Iα
Module #11 Energy and Momentum Kinetic and potential energy; linear and angular momentum; conservation laws
Module #12 Rigid Body Collisions Types of collisions; calculation of impulse and impulse response
Module #13 Collision Detection Algorithms for detecting collisions between rigid bodies; spherical, rectangular, and polygonal shapes
Module #14 Collision Response Methods for responding to collisions; impulse-based and penalty-based approaches
Module #15 Joint Constraints Definition and implementation of joint constraints; ball-and-socket, hinge, and slider joints
Module #16 Rigid Body Integration Methods for integrating rigid body motion; Euler, Verlet, and Runge-Kutta integrators
Module #17 Stability and Performance Techniques for improving stability and performance in rigid body simulations
Module #18 Physics Engines and Tools Overview of popular physics engines and tools; integration with game engines
Module #19 Vehicle Physics Specialized topics in vehicle physics; car, airplane, and boat simulations
Module #20 Character Physics Specialized topics in character physics; humanoid, ragdoll, and skeleton simulations
Module #21 deformable Bodies Introduction to deformable bodies; cloth, hair, and soft body simulations
Module #22 Advanced Topics in Rigid Body Dynamics Advanced topics in rigid body dynamics; friction, restitution, and contact points
Module #23 Case Studies and Projects Real-world examples and projects demonstrating application of rigid body dynamics in game physics
Module #24 Optimization and Debugging Techniques for optimizing and debugging rigid body simulations
Module #25 Course Wrap-Up & Conclusion Planning next steps in Rigid Body Dynamics in Game Physics career
