Robot Kinematics & Dynamics → Joint forces, torques, power, and energy in robot motion.

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Coordinate Systems & Transformations
1
- 1.1
  Reference frames, homogeneous transformations, and rotation matrices.
Forward Kinematics
1
- 2.1
  Kinematic chains, Denavit–Hartenberg (DH) parameters, and position analysis.
Inverse Kinematics
1
- 3.1
  Analytical and numerical solutions, multiple solutions, and singularities.
Velocity & Acceleration Analysis
1
- 4.1
  Jacobian matrices, velocity propagation, and acceleration modeling.
Dynamics of Robotic Systems
1
- 5.1
  Newton–Euler and Lagrangian methods for robot dynamics.
Force, Torque & Energy Analysis
1
- 6.1
  Joint forces, torques, power, and energy in robot motion.
Trajectory Planning & Motion Control Basics
1
- 7.1
  Joint-space and Cartesian-space trajectories, smooth motion generation.
Applications & Case Studies
1
- 8.1
  Industrial robot arms, manipulators, and simulation-based examples.

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