Type of Credit: Required
Credit(s)
Number of Students
在經濟學中，數理方法是不可或缺的工具，被廣泛地應用於經濟理論的證明與推導中。除此之外，近年隨著電腦普及與運算能力的提昇，資訊工具在經濟分析中扮演著日漸重要的角色。然而對於數學和資訊工具的不熟悉，常是同學在學習公共經濟議題分析時的挫折來源。本課程因此希望能幫助對於經濟分析有興趣的學生，介紹在此領域中常用的基礎數學與資訊工具，透過課堂講授與課後練習，逐步培養學生將數理與數量方法應用於經濟問題分析的興趣與能力。
Modern economics demand its practitioners to have a solid grasp of advanced mathematical and computing tools, yet mathematics and programming are often the sources of anxiety and frustration for students. This course is thus designed for students in public finance who want to be acquainted with these tools and their applications in the economic analysis. While this is a course on mathematical methods, the emphasis is on their uses in the discipline of economics and their implementation in modern statistical packages.
能力項目說明
本課程將介紹在公共經濟分析常用之數理方法，包含線性代數、靜態比較及最適化方法等，教學內容著重於此類方法的應用及在現代電腦軟體的實作。修習課程後，學生可具有使用這些工具來推導經濟問題的概念與經驗，作為未來修習公共經濟相關課程及分析經濟議題的基礎。
The course aims to help undergraduate students acquire sufficient mathematical skills to access the literature in public finance. Students should develop both mathematical and economic intuitions through lectures, in-class exercises, and practice problems. Specifically, we plan to cover the mathematics required to tackle the following types of economic analysis: equilibrium analysis, comparative statics, constrained optimization, and dynamic analysis.
本課程預計介紹下列內容，但實際授課進度及議題將依課程需要調整：
|
Week |
Topic |
Readings |
|
1 |
Introduction to Mathematics for Economics |
Chiang & Wainwright (2005): Ch. 1-3 |
|
2 |
Introduction of Linear Algebra and the R Language |
Chiang & Wainwright (2005): Ch. 4 |
|
3 |
Solution to a System of Linear Equation, pt. 1 |
Chiang & Wainwright (2005): Ch. 4 |
|
4 |
Solution to a System of Linear Equation, pt. 2 |
Chiang & Wainwright (2005): Ch. 4 |
|
5 |
Determinants and Cramer’s Rule |
Chiang & Wainwright (2005): Ch. 5 |
|
6 |
Application of Linear Algebra and Equilibrium Analysis |
Chiang & Wainwright (2005): Ch. 5 |
|
7 |
Linear Algebra and Geometry |
Chiang & Wainwright (2005): Ch. 5 |
|
8 |
Midterm |
|
|
9 |
Comparative Statics, pt. 1 |
Chiang & Wainwright (2005): Ch. 6-7 |
|
10 |
Comparative Statics, pt. 2 |
Chiang & Wainwright (2005): Ch. 8 |
|
11 |
Applications of Comparative Statics |
Chiang & Wainwright (2005): Ch. 8 |
|
12 |
Unconstrained Optimization |
Chiang & Wainwright (2005): Ch. 9 |
|
13 |
Constrained Optimization, pt. 1 |
Chiang & Wainwright (2005): Ch. 11 |
|
14 |
Constrained Optimization, pt. 2 |
Chiang & Wainwright (2005): Ch. 12 |
|
15 |
Nonlinear Optimization |
Chiang & Wainwright (2005): Ch. 13 |
|
16 |
Final Exam |
|
The teaching schedule is subject to change. The dates for midterm and final exams are not fixed and could be moved depending on the teaching progress. If there are any changes to the dates of the midterm or final exams, they will be announced in class and on the class website. Additional information regarding week 17 and 18 will be provided during class discussions.
Main Text
Chiang, Alpha C., and Kevin Wainwright. (2005) Fundamental methods of mathematical economics (4th eds.). Boston, Mass: McGraw-Hill. ISBN：9780071238236
Additional References