2. Numerical methods of integration in R. |
Formulas of Quadrature of polynomial type. Properties. Error of interpolation. Particular cases: Poncelet, Trapece and Simpson. Formulas of quadrature compound. |
4. Ordinary differential equations. |
Generalities on ordinary differential equations. Concept of solution. First order equations. Existence and uniqueness of solution. Autonomous equations. Equations in separate variables. Homogeneous equations. Exact equations. Linear equations. Families of curves: orthogonal trajectories. |
6. Numerical methods for ordinary differential equations. |
Methods for problems of initial value: methods of one step, methods multi-step, methods predictor-corrector. Methods for boundary problems: Methods of shot, methods of finite differences. |