課程資訊
課程名稱
經濟數學
Mathematics for Economists 
開課學期
111-1 
授課對象
社會科學院  經濟學研究所  
授課教師
周建富 
課號
ECON5100 
課程識別碼
323 U7500 
班次
 
學分
3.0 
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
限學士班二年級以上 或 限碩士班以上 或 限博士班
總人數上限:68人 
 
課程簡介影片
 
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課程概述

In the first part 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 50%
Final Exam 50%
Home works 0% 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
 
參考書目
Chiang, A. Fundamental Methods of Mathematic Economics.

Simon and Blume, Mathematics for Economists. 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
無資料