UNIT 1. ORDINARY DIFFERENTIAL EQUATIONS.
Lesson 1. Discrete and continuous mathematical models.
Lesson 2. Basic theory of initial values problems.
Lesson 3. Numerical methods for solving ordinary differential equations with initial conditions.
Single-step methods.
Lesson 4. Multistep methods.
UNIT 2. THE FINITE ELEMENT METHOD.
Lesson 5. Some notions of functional analysis. The framework.
Lesson 6. Variational formulation for boundary value problems.
Lesson 7. The finite element method.