Lecture 16

28 Abril 2022, 19:00 • Rita Sousa

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Numerical methods for ordinary differential equations: Runge-Kutta methods.

Introduction to dynamic programming: classification (discrete vs. continuous, infinite-horizon vs. finite-horizon, deterministic vs. stochastic); basic concepts and assumptions; representative household; utility function; modelling the system as an optimization problem.

Lecture 15

28 Abril 2022, 17:30 • Rita Sousa

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Numerical methods for o rdinary differential equations: well-posedness; Taylor approximations; Euler's method; Error analysis.

Lecture 14

7 Abril 2022, 19:00 • Rita Sousa

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Ordinary differential equations: qualitative analysis of autonomous systems of ODEs; phase portraits; equilibria and their stabilily; application to predator-prey models.

Lecture 13

7 Abril 2022, 17:30 • Rita Sousa

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Ordinary differential equations: linear, second-order ODEs; linear systems of ODEs with constant coefficients; applications.

Lecture 12

31 Março 2022, 19:00 • Rita Sousa

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Ordinary differential equations: linear, first-order ODEs, and their solutions; application to compounded interest rates; autonomous ODEs and qualitative analysis.