Mechanisms: An overview of common robotic mechanical structures
Kinematics: Rigid body motions, Homogeneous transforms, Kinematic chains, Inverse kinematics, etc.
Mechanics: Statics, Lagrange Equations, Equations of Motion, etc.
Optimization: Calculus, Iterative Methods, Linear Programming, etc.
Control: State-space models, Stability Analysis, State Feedback, Output Feedback
Uncertainty: Probability, filters, nondeterminism, Bayes' Rule, etc.