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.

適用於已完成微積分、中級微觀經濟學和/或中級宏觀經濟學的本科數學經濟學課程。也可作為標準中級微觀經濟學和宏觀經濟學課程、經濟學研究生課程以及商業和公共政策碩士課程的補充教材。

本教材旨在幫助學生發展數學技能，從而開拓經濟分析的新維度，提高對經濟理論的理解。

目錄

1. 經濟模型介紹。
2. 基本數學知識回顧。

I. 市場分析。

3. 完全競爭市場：靜態分析。
4. 完全競爭市場：動態分析。
5. 線性方程組和一般均衡。

II. 最佳化。

6. 公司理論：短期決策規則。
7. 多方競爭：完全競爭公司和壟斷競爭公司。
8. 壟斷和壟斷買方。
9. 雙頭壟斷和寡頭壟斷。
10. 公司理論：受限制的最佳化。
11. 公司理論：不等式約束。
12. 消費者行為理論。

III. 宏觀經濟分析。

13. 基本宏觀經濟模型：投入產出分析和簡單凱因斯模型。
14. IS-LM和總需求-總供應模型。
15. 增長率和增長模型。