Dynamic Programming Recap

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Inflation and Cosmology

Explores inflation, quantum fluctuations, scalar fields, and their impact on the universe's structure formation.

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Dynamic Games: Backward Induction and Nash Equilibria

Covers dynamic games, focusing on backward induction and finding Nash equilibria in two-player scenarios.

Stochastic Optimal Control: Martingale Theorem

Explores Stochastic Optimal Control, emphasizing Optimal Consumption and Investment, the Martingale Representation Theorem, and the Verification Theorem.

Stability: Poles, Zeros, and Control

Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.

Gravitational Red-Shift and Escape Velocity

Covers the discovery of integrals of motion and the analysis of escape velocity and gravitational red-shift.

Observability and Controllability

Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.

Dynamic Programming: Optimal Control

Explores Dynamic Programming for optimal control, covering machine replacement, Markov chains, control policies, and linear quadratic problems.

Carbonate equilibrium

Explores the equilibrium in carbonate systems, including species like H₂CO3 and HCO3, with examples and exercises.

Stable Laws and Limit Theorems

Explores stable laws, limit theorems, and random variable properties.