Lecture 11

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

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Ordinary Differential Equations: Linear first-order scalar ODEs; applications (present discounted value, compound interest rate); qualitative methods for autonomous ODEs of first order.

Lecture 10

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

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Ordinary Differential Equations: Notable examples; existence and uniqueness theorem; a priori estimate for the domain of existence.

Lecture 9

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

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Difference equations: Linear second-order difference equations with constant coefficients; characteristic equation; Gambler's ruin.

Lecture 8

29 Fevereiro 2024, 19:00 • Jorge Miguel da Rocha

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Difference equations: equilibrium points; stable, attractive and asymptotically stable; stability criteria; cobweb diagrams; cycles.

Lecture 7

29 Fevereiro 2024, 17:30 • Jorge Miguel da Rocha

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Difference equations: initial value problems; autonomous linear first-order difference equations; existence and uniqueness; closed form solutions for linear, constant coefficients, first-order difference equations (backward and forward solutions) and their long-term behavior.