Mathematical Economics

Qiang Gong

Phone: 62758907. Email: qgong@ccer.edu.cn

Pre-requisite:
Calculus, Linear algebra

What isMathematical Economics

Mathematicsis a language with which economists present their ideas. It also sharpenspeople’s minds and helps them to catch good ideas. This course will discusssome basic mathematical theories that are useful in the research of economictheory, particularly microeconomic theory. We will focus on the development ofthe ability of solving related mathematics problems and applying the methods oneconomic research.

Mathematics in Economics (Game Theory,Optimization,…)
Fundamental Economics theory (Generalequilibrium, Game Theory,…)
Economics foundation

Target
What is your background?
What is your goal?
What is your approach?

Mathematics V.S. Economics
Why mathematics?
How much mathematics is required forEconomics?

Textbook
James C. Moore, 1999,
Mathematical Methods for Economic Theory
Springer

Classrequirement:
Assignment 20%
Examination 70%
20%*Midterm+20%*max(Midterm,Final)+30%*Final
In class quizzes10%
No late
Honor code


LectureSchedule

Lecture 1
Optimizing Theory
Lecture 2
Basic Topology
Lecture 3
Continuity
Lecture 4
Sequences and Series

Midterm

Lecture 5
Linear Spaces
Lecture 6
Convex Sets and Functions
Lecture 7
Applications of Convexity
Lecture 8
Basic Measure Theory

Final Exam