Mechanisms:

An overview of common robotic mechanical structures

PDF HTML

Kinematics:

Rigid body motions, Homogeneous transforms, Kinematic chains, Inverse kinematics, etc.

PDF HTML

Mechanics:

Statics, Lagrange Equations, Equations of Motion, etc.

PDF HTML

Optimization:

Calculus, Iterative Methods, Linear Programming, etc.

PDF HTML

Control:

State-space models, Stability Analysis, State Feedback, Output Feedback

PDF HTML

Uncertainty:

Probability, filters, nondeterminism, Bayes' Rule, etc.

PDF HTML