Dynamic Math for Economists
I'm using this page for a course at Quinnipiac on DSGE Modelling for advanced undergrads and to explore and build a course on economic dynamics
Spring 2020 QU Independent Study in
DSGE Modelling of CEE Economies
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Outline for the Math of the Course
First Part of the Course
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Introduction to Difference Equations: Basics
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Introduction to Differential Equations: Basics
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Introduction to Time Series: Basics
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Introduction to Time Series: The Expectations Operator
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Introduction to Time Series: Calculating Impulse Response Functions
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Introduction to Time Series: AR to MA processes
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Second Part of the Course
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Optimization: Review of Static Lagrangians
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Optimization: Two-Period Lagrangians
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Optimization: Two-Period Insights into Infinite Horizons and Bellman
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Optimization: Infinite Horizon Lagrangians in Discrete Time
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Optimization: Infinite Horizon Hamiltonians in Continuous Time
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Solving Models: Phase Diagrams in Continuous Time
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Solving Models: Linearizing around Steady State
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Solving Models: Systems of Difference Equations
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Solving Models: Systems of Differential Equations
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Economic Modelling Topics
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Budget Constraints Part One: How To Think About and Model Them ... PDF
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Budget Constraints Part Two
Graduate-Level Introduction to DSGE and Dynare
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Eric Sims at Norte Dame has some of the best material to get into DSGE and to do it via Dynare.
Eric Sims Graduate Macro II class (2017)
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Introductory Notes:
Preliminaries (Impluse Response Fns): pdf
Two period consumption-saving: pdf
Value function iteration: pdf
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Using Dynare: pdf
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More Advanced Material:
Review of neoclassical growth: pdf
Log-linearization: pdf
Solving linearized models: pdf
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Gilbert Strang's Highlights of Calculus
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Prof Gilbert Strang's short collection of videos and why he made these (click here)
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MIT Courseware: click here
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Prof Strang's Free Calculus textbook (download here).
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Highlights and the Big Picture of Calculus
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Derivatives
Matrix Algebra
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Basic Matrix Terms and Definitions ... PDF
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Professor Gilbert Strang's 2009 Linear Algebra Linear Algebra MIT 16.08 on Youtube
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Quiz 1 Review
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Quiz 2 Review
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Final Course Review​​​
- Prof. Strang's 2020 A 2020 Vision of Linear Algebra uses his new method for all the material in MIT 16.08. I encourage you to watch MIT 16.08 first, then these. Or, the first 2-3 lectures in 16.08, then Intro and Part 1 (below), then the next ones in 16.08, then Part 2 (below) and so on.​
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Part 4: Eigenvalues and Eigenvectors
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Part 3: Orthogonal Vectors
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Part 1: The Column Space of a Matrix
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Prof. Strang's 2018 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning MIT 18.065​
Probability and Stats
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2010 MIT Course on Probability and Statistics includes processes.
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Harvard's Statistics 110 (Probability) by Prof. Joe Blitzstein
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34 Lectures on Youtube
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MIT Course on Applied Math in Finance, including lectures on statistical processes.​
Ronald Shone had two great textbooks on Economic Dynamics and Math. I think his approach was right: teach first how to solve the basic systems in excel and other programming languages, and then cover the math. I'm trying to build on his insight.
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Introduction to Economic Dynamics (a "non-math" treatment where everything is solved in Excel)
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Economic Dynamics (a more "applied" math coverage of the material needed for dynamic analysis in Economics with examples in excel and Maple)