The purpose of the course is for students to master essential mathematical tools and methods relevant to economics. Throughout the semester, the student should know the basic concepts of linear algebra, calculus of functions of several variables, including calculation of partial derivatives of explicit and implicit functions, solutions of problems of unconditional and conditional optimization. The student should be able to investigate economic problems of comparative statics using the methods of a calculus, to discover points of maximum and minimum for functions of several variables, to use the method of Lagrange multiplier, to find extreme points of functions subjected to constraints.The purpose of the course is for students to master essential mathematical tools and methods relevant to economics. Throughout the semester, the student should know the basic concepts of linear algebra, calculation of functions of several variables, including calculation of partial derivatives of explicit and implicit functions, solutions of problems of unconditional and conditional optimization. The student should be able to investigate economic problems of comparative statics using the methods of a calculus, to discover points of maximum and minimum for functions of several variables, to use the method of Lagrange multiplier , to find extreme points of functions subjected to constraints.
經濟數學是經濟學家利用數學符號來敘述問題，同時運用已知的數學定理來協助作經濟分析的方法。他應用的範圍可包括個體經濟學及總體經濟學等任何領域。本課程的目的就是讓學生瞭解目前在經濟學的文獻當中常用到的最基本的數學方法。課程內容包含均衡分析、線性模型、矩陣運算、利用矩陣求線性模型的解、比較靜態、最適化等。
Economic mathematics is a method in which economists use mathematical symbols to describe problems and use known mathematical theorems to assist in economic analysis. The scope of its application can include any field such as individual economics and overall economics. The purpose of this course is to enable students to understand the most basic mathematical methods commonly used in economics literature. The course content includes equilibrium analysis, linear models, matrix operations, using matrices to find solutions to linear models, comparative statics, optimization, etc.
Edward Thomas Dowling, Schaum's Outline of Introduction to Mathematical Economics, 3rd Edition, 2001, ISBN: 0071188715 (required)
Edward Thomas Dowling, S-shaped U pattern outline of Introduction to mathematical economics, 3RD edition, 2001, ISBN: 0071188715 (required)
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 平時成績平時成績 usual results |
25 | 含出席紀錄及作業測驗 |
| 小考小考 Quiz |
20 | |
| 期中考試期中考試 midterm exam |
25 | |
| 期末考試期末考試 final exam |
30 | 依學校規定時間及相關補考規定實施。 |
