Using Mathematics in Economic Analysis

For undergraduate courses in Mathematical Economics where students have completed a first course in Calculus and Intermediate Microeconomic Theory and/or Intermediate Macroeconomic Theory. Also serves as a supplement to the standard Intermediate Microeconomic and Macroeconomic Theory courses, graduate programs in Economics, and Master's programs in Business and Public Policy.

This text is designed to help students develop mathematical skills that will open up a new dimension of economic analysis, thereby enhancing their understanding of economic theories.

Table of Contents

1. Introduction to Economic Models.
2. A Review of Some Basic Mathematics.

I. ANALYSIS OF MARKETS.

3. Perfectly Competitive Markets: Static Analysis.
4. Perfectly Competitive Markets: Dynamic Analysis.
5. Systems of Linear Equations and General Equilibrium.

II. OPTIMIZATION.

6. Theory of the Firm: Short-Run Decision Rules.
7. Competition Among Many: Perfectly Competitive Firms and Monopolistically Competitive Firms.
8. Monopolies and Monopsonies.
9. Duopolies and Oligopolies.
10. Theory of the Firm: Constrained Optimization.
11. Theory of the Firm: Inequality Constraints.
12. Theory of Consumer Behavior.

III. MACROECONOMIC ANALYSIS.

13. Basic Macroeconomic Models: Input-Output Analysis and a Simple Keynesian Model.
14. IS-LM and Aggregate Demand-Aggregate Supply Models.
15. Growth Rates and Growth Models.