Knowledge about differential and functional equations with several variables is welcome. In other case, consult with the professor.
1. Differential equations.
Introduction to EDOS´s numerical solutions.
2. Implicit integration and particles.
EDOS will be used to solve problems about particle dynamics.
3. Symplectic integration and links.
Mathematic and algorithmic treatment of particle systems with links.
4. Rigid solids dynamics.
Rigid solid´s movement equations.
Orientation. Angular velocity.
Conservation and strength.
Inertia tensors.
Green theorem.
5. Rigid solids collision.
Collision detection.
Kinds of collision calculus.
Collisions reactions.
6. Orientation and rotations.
Group theory.
SO(3)
Quaternions
SU(2)
Dual quaternions
7. Movement capture.
Movement-data structure to simulate human dynamics.
Resemblance between movements and metrics.
Low-cost-movement-capture system.
OPEN NI