Lecture 16

21 Março 2024, 19:00 • Jorge Miguel da Rocha

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Discrete dynamic programming with infinite horizon. Euler's equation. Example: Optimal growth with log utility and a Cobb-Douglas production function. Discrete dynamic programming with finite horizon. Numerical methods for discrete dynamic programming.

Lecture 15

21 Março 2024, 17:30 • Jorge Miguel da Rocha

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Dynamic Programming: Introduction, classification and formulation of dynamic programming problems; Discrete dynamic programming with infinite horizon. Bellman's equation.

Lecture 14

14 Março 2024, 19:00 • Jorge Miguel da Rocha

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Numerical methods for ODEs: well-posedness of initial value problems; Euler's method (first order) and its error;  second-order methods; Runge-Kutta methods.

Lecture 13

14 Março 2024, 17:30 • Jorge Miguel da Rocha

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Ordinary Differential Equations: Matrix exponentials (relevant for solutions of first-order systems of ODEs) and qualitative methods for autonomous systems of first-order ODEs; equilibrium points and stability; predator-prey models.

Lecture 12

7 Março 2024, 19:00 • Jorge Miguel da Rocha

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Ordinary Differential Equations: Linear second-order scalar ODEs with constant coefficients; characteristic equation to find the general solution of the associated homogeneous equation; method of undetermined coefficients to find a particular solution; linear systems of first-order ODEs.