Robotics: Kinematics and Mathematical Foundations

Math Fundamentals
Week 1: Vector spaces, inner products, vector norms, orthogonality
Week 2: Linear transformations, matrix multiplication, matrix groups
Week 3: Coordinate transformations, rigid transformations, rotation matrices quaternions, Matrix groups SE(2) and SE(3)
Week 4: Project

Robot Kinematics
Week 5: Kinematic chains, forward kinematics,
Week 6: Inverse kinematics
Week 7: Parallel mechanisms
Week 8: Project

_ Kinematic Path Planning _
Week 9: Graph based methods, Dijkstra’s method, A*Star
Week 10: RRT, configuration space
Week 11: Artificial potential fields
Week 12: Project