saadmahboob / Math4Econ

Mathematics for Economists (Matlab Live Codes)

Math for Economists Matlab Tutorials

This is a work-in-progress course website for Mathematics for Economists, produced by Fan. Course covers a limited subset of topics from Mathematics for Economists (Simon and Blume 1994), and uses various definitions from the book. Matlab's symbolic toolbox is used throughout.

Materials are written in matlab livescript files and shown as HTML files. To obtain matlab codes, see here for github set up. For HTML files, click on the links below.

Please contact FanWangEcon for issues or problems.

1. Basic Calculus and Applications

1.1 Basics

1. Real Number and intervals
2. What is a Function?
3. Function Notations
4. Interval Notations and Examples
5. Monomial and Polynomial
6. Local and Global Maximum

1.2 Derivatives

1. Derivative Definition and Rules
2. Continuity and Differentiability
3. Elasticity and Derivative
4. First Order Taylor Approximation
5. Higher Order Derivatives--Cobb Douglas Production

1.3 Application--Production Function

1. Marginal Product Discrete Units of Workers
2. Derivative of Cobb-Douglas Production Function
3. Derivative Approximation and Cobb-Douglas Function

1.4 Application--Demand and Supply

1. Optimal Savings Choice in a 2 period Model with initial Wealth
2. Optimal Borrowing Choice Firm Maximization

1.5 Application--Risky Asset

1. Risky Assets and Different States of the World

2. Exponential and Log

1. Exponential Function
2. Exponential Function and Log Function

3. Matrix

3.1 Basics

1. Laws of Matrix Algebra
2. Matrix Addition and Multiplication
3. Creating Matrixes in Matlab

3.2 Matrix System of Equations

1. System of Linear Equations
2. Solving for Two Equations and Two Unknowns
3. System of Linear Equations, Row Echelon Form

3.3 Application--Firm's Problem

1. Firm Maximization Problem with Capital and Labor

3.4 Application--Household's Problem

2. Household Maximization with Two Goods and Budget

3.5 Application--Approximate Demand and Supply

1. First Order Taylor Approximation of Demand and Supply Curves
2. First Order Taylor Approximation of Demand and Supply Curves for Capital

4. Constrained Optimization

4.1 Firm's Problem

1. Constrained Profit Maximization and Cost Minimization
2. Cost Minimization and Marginal Cost

4.2 Household's Problem

1. Constrained Utility Maximization and Expenditure Minimization
2. Income and Substitution Effects

4.3 Inequality Constraints

1. Borrowing Constraint
2. Constrained Household Borrowing/Saving and Labor Choice Problem

4.4 Equilibrium and Government Policy

1. Equilibrium Interest Rate
2. Equilibrium Interest Rate and Wage