Course Information
Course title
 Introduction to Quantitative Methods 
Semester
 113-1 
Designated for
 COLLEGE OF SOCIAL SCIENCES  GRADUATE INSTITUTE OF ECONOMICS  
Instructor
 JOSEPH TAO-YI WANG 
Curriculum Number
 ECON7009 
Curriculum Identity Number
 323EM0500 
Class
  
Credits
 2.0 
Full/Half
Yr.
 Half 
Required/
Elective
 Required 
Time
 第1,2,3,4,5,6,7,8 週
Tuesday 9,10(16:30~18:20) 
Remarks
 Restriction: MA students and beyond OR Restriction: Ph. D students
The upper limit of the number of students: 80. 
  
Course introduction video
 
Table of Core Capabilities and Curriculum Planning
 Table of Core Capabilities and Curriculum Planning
Course Syllabus
Please respect the intellectual property rights of others and do not copy any of the course information without permission
Course Description

Fill out this form to add to this course (欲加選者請填表單): https://reurl.cc/Klx2Vj

Course Website: https://homepage.ntu.edu.tw/~josephw/mathcamp_24F.htm

This is a flipped online course focusing on the first few chapters of Rudin’s Principles of Mathematical Analysis to introduce economics students to point-set topology which forms the foundation of Advanced Calculus, so they can continue to study abstract mathematics required for graduate studies in economics.  

Course Objective
 In this class, students should:
1. Watch Lecture Videos Online: Such as 高等微積分@NTU OCW or Francis Su at Harvey Mudd College: http://analysisyawp.blogspot.com/2013/01/lectures.html
2. Participate In-Class: Come and ask questions in office hours before taking weekly quizzes of 50 minutes each, and discuss answers/preview new lectures afterwards. 
Course Requirement
 2024年上課時間：
(壹）暑期（正課）：
8/12（一）、8/16（五）、8/19（一）、8/22（四）、8/26（一）以及8/30（五)9:10~12:00

(貳）開學後（實習課）：
9/3～10/22每週二9.10節為實習課時間。

教室：社科102教室（8/22星期四教室在社科101）

選課備註：
欲加選者請填表單：https://reurl.cc/Klx2Vj
退選截止日為9月15日星期日（依學校規定）
停修截止日為11月22日星期五（依學校規定）
碩博一必修課的先修課。採「通過/不通過」評分，本課程期初考與期末考, 任一通過即可。 
Student Workload (Expected weekly study hours before and/or after class)
 20 
Office Hours
 Appointment required. Note: In class or by email appointment. 
Designated reading
 1. Rudin, Principles of Mathematical Analysis, 3rd ed., McGraw Hill. (Textbook) 
References
 2. Tao, Analysis I: Third Edition, Springer. (e-book available through NTU library)
3. Protter and Morrey, A First Course in Real Analysis, 2nd ed., Springer.
4. Interactive Real Analysis (https://mathcs.org/analysis/reals/index.html) 
Grading
  
No.
Item
%
Explanations for the conditions
1. 
 Final Exam 1 or 2 
52% 
 Final Exam 1 is on 8/30 and Final Exam 2 is on 10/22. The highest of the two counts, so you pass the course by passing either of the two final exams. 
2. 
 Weekly Quizzes 
48% 
 8% each for the 6 highest quizzes. If a quiz is taken online, it counts for only 2%; the remaining 6% will be replaced by the final exam. So, if all quizzes are taken online, the final exam will count as 88%. 
  1. NTU recommends an upper limit of 20% for A+ grades. This is not a mandatory requirement. Instructors may adjust the percentage based on course requirements. Instructors teaching required courses are particularly encouraged to follow this guideline.
  2. NTU uses a letter grade system for assessment. The grade percentage ranges and the single-subject grade conversion table in the NATIONAL TAIWAN UNIVERSITY Regulations Governing Academic Grading are for reference only. Instructors may adjust the percentage ranges according to the grade definitions. For more information, see the Assessment for Learning Section.
 
Adjustment methods for students
  
Teaching methods
 Assisted by video
Assignment submission methods
Exam methods
Others
Progress
Week
Date
Topic
Week 1
 8/12  Lecture 1-2: Constructing the Rational Numbers; Properties of Q 
Week 2
 8/16  Lecture 3-4: Construction of R; The Least Upper Bound Property 
Week 3
 8/19  Lecture 5-6: Complex Numbers; The Principle of Induction 
Week 4
 8/22  Lecture 7-8: Countable/uncountable Set; Cantor Diagonalization, Metric Space 
Week 5
 8/26  Lecture 9-10: Limit Points; Relationship between Open and Closed Sets 
Week 6
 8/30  Final Exam 1 (You pass the course if you pass this exam!) 
Week 7
 9/03  Lecture 11-12: Compact Sets; Relationship between Compact, Closed Sets 
Week 8
 9/10  Lecture 13-14: Compactness, Heine-Borel Theorem; Connected Sets, Cantor Sets 
Week 9
 9/17  Holiday: Mid-Autumn Festival 
Week 10
 9/24  Lecture 15-16: Convergence of Sequences; Subsequences, Cauchy Sequences 
Week 11
 10/01  Review Session (Answer questions, solve quiz and preview next lecture) 
Week 12
 10/08  Lecture 17-18: Complete Spaces; Brouwer Fixed-Point Theorem 
Week 13
 10/15  Review Session (Answer questions, solve quiz and review for final exam) 
Week 14
 10/22  Final Exam 2