課程資訊
課程名稱
經濟數學
Mathematics for Economists 
開課學期
105-1 
授課對象
社會科學院  經濟學系  
授課教師
周建富 
課號
ECON5100 
課程識別碼
323 U7500 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期三7,8,9(14:20~17:20) 
上課地點
社科307 
備註
限學士班三年級以上 或 限碩士班以上
總人數上限:68人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1051ECON5100_ 
課程簡介影片
 
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課程概述

In the first paet of the course, I will discuss the basic ideas of linear algebra, review differential calculus, teach implicit function theorem, and explain how to apply these mathematical tools to formulate and analyze static economic models. In the second part of the course, I will discuss optimization. First, I will explain the basic ideas of optimization in the case of single variable optimization. Consumer utility maximization and producer profit maximization problems will be used to illustrate the procedure. Then more difficult cases (multi-variables, constraint optimization, nonlinear programming) will be discussed. Many mathematical concepts related economics (e.g., convexity) will be explained. This part ends with a brief introduction to general equilibrium and game theory. The third part is an introduction to economic dynamics. Differential and difference equations will be discussed and some examples will be explained.

每週進度及教學內容簡述

第一週:Static Economic Models and The Concept of Equilibrium
第二週:Matrix Algebra, Vector Space, and Linear Transformation
第三週:Determinant, Inverse Matrix, and Cramer’s Rule
第四週:Differential Calculus and Comparative Statics
第五週:Optimization
第六週:Optimization – Multivariate Case
第七週:Optimization-- Equality constraints and Nonlinear Programming
第八週:Optimization-- Equality constraints and Nonlinear Programming
第九週:Midterm
第十週:General Equilibrium and Game Theory
第十一週:Economic Dynamics and Integral Calculus
第十二週:Ordinary Differential Equation
第十三週:Difference Equation
第十四週:Diagonalization of a Matrix sand Jordan Theorem
第十五週:Simultaneous Difference Equation
第十六週:Simultaneous Differential Equation
第十七週:Dynamic Optimization – Discrete Time
第十八週:Final Exam


 

課程目標
Provide students with the most important mathematic methods in economic analysis.  
課程要求
Midterm Exam 45%
Final Exam 45%
Home works 10%
 
預期每週課後學習時數
 
Office Hours
每週三 13:10~14:10 
參考書目
Chiang, A. Fundamental Methods of Mathematic Economics.

Simon and Blume, Mathematics for Economists.
 
指定閱讀
Chou, Lecture Notes on Mathematics for Economists.
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Homework 
10% 
 
2. 
Midterm 
45% 
 
3. 
Final Exam 
45% 
 
 
課程進度
週次
日期
單元主題
第1週
9/14  Static Economic Models and The Concept of Equilibrium
 
第2週
9/21  Matrix Algebra, Vector Space, and Linear Transformation
 
第3週
9/28  Determinant, Inverse Matrix, and Cramer’s Rule
 
第4週
10/05  Differential Calculus and Comparative Statics 
第5週
10/12  Optimization
 
第6週
10/19  Optimization – Multivariate Case
 
第7週
10/26  Optimization-- Equality constraints and Nonlinear Programming 
第8週
11/02  Optimization-- Equality constraints and Nonlinear Programming
 
第9週
11/09  Midterm 
第10週
11/16  General Equilibrium and Game Theory 
第11週
11/23  Economic Dynamics and Integral Calculus 
第12週
11/30  Ordinary Differential Equation 
第13週
12/07  Difference Equation
 
第14週
12/14  Diagonalization of a Matrix sand Jordan Theorem 
第15週
12/21  Simultaneous Difference Equation 
第16週
12/28  Simultaneous Differential Equation 
第17週
1/04  Dynamic Optimization – Discrete Time