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Course Detail

Degree
Master
Standard Academic Year
Half
Course delivery methods
face-to-face
Subject
Mathematical sciences
Program
School
College of Social Science
Department
Campus
Main Campus
Classroom
Course Offering Year
Course Offering Month
September - January
Weekday and Period
Capacity
80
Credits
2
Language
English
Course Number
ECON7009

Introduction to Quautitative Methods National Taiwan University

Course Overview

This is a mathematical analysis course for doctoral and master students in economics. The course aims to prepare you for advanced courses in economics and your future research. The material includes some basic concepts in set theory, real analysis, convexity and optimization. Given the time constraint, the focus of the course is not to have an extensive coverage of mathematical concept and theorem, but rather to give you a decent training in abstract reasoning and theorem proving.

Learning Achievement

Course Outlines
Sets and Functions
1. Sets
2. Functions
3. Cardinality
3. Rational Numbers
Real Numbers and Metric Space
1. Real Numbers
2. Metric Space
3. Convergence
4. Cauchy Sequence
Topology
1. Open Sets and Closed Sets
2. Continuous Functions
3. Compactness
4. Existence of Optima
Covexity and Optimization
1. Convexity
2. Duality
3. Karush_Kuhn_Tucker Theorem
Linear Algebra
1. Vector Space
2. Matrix Algebra
3. Eigenvalues and Eigenvectors

Competence

Course prerequisites

*Restrict to graduate students.
*Ten classes only, from Aug. 28 to Sept. 8, Monday to Friday, 9:10-12:10

Grading Philosophy

Course schedule

Course type

Online Course Requirement

Instructor

Chien-Chiang Wang

Other information

Graduate Institute of Economics

Site for Inquiry

Please inquire about the courses at the address below.

Email address: http://www.econ.ntu.edu.tw/db/new2011/index.asp?l=english