Lecture 1Welcome

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Introduction: Welcome

Welcome

Lecture 1: The Five Step Method

Lecture 2: Units and Nondimensionalization

Lecture 3: Optimization and Sensitivity Analysis

Lecture 4: Newton's Method and Optimization

Lecture 5: Multivariable Optimization and Sensitivity

Lecture 6: Lagrange Multipliers

Lecture 7: Constrained Modelling and Shadow Pricing

Lecture 8: Multivariate Newton's Method and Optimization

Lecture 9: Linear Programming

Lecture 10: Steady States of Dynamical Systems

Lecture 11: Phase Line Diagrams

Lecture 12: Phase Plane Diagrams

Lecture 13: Discrete-Time Dynamical Systems

Lecture 14: Cobweb Diagrams

Lecture 15: Linear Systems in Continuous Time

Lecture 16: Modelling Romeo and Juliet

Lecture 17: Stability and Local Linearization

Lecture 18: Sketching Planar Nonlinear Systems

Lecture 19: Analysis of Discrete-Time Dynamical Systems

Lecture 20: Euler's Method

Lecture 21: Fitting Data to Linear Models

Lecture 22: Fitting Nonlinear Models with LASSO Regression

Lecture 23: Discrete Probability Models

Lecture 24: Continuous Probability Models

Lecture 25: Introduction to Statistics

Lecture 26: Modelling Diffusion

Lecture 27: Markov Chains