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Course title |
Introduction to Quantitative Methods |
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Semester |
113-1 |
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Designated for |
COLLEGE OF SOCIAL SCIENCES GRADUATE INSTITUTE OF ECONOMICS |
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Instructor |
JOSEPH TAO-YI WANG |
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Curriculum Number |
ECON7009 |
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Curriculum Identity Number |
323EM0500 |
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Class |
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Credits |
2.0 |
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Full/Half
Yr. |
Half |
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Required/
Elective |
Required |
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Time |
第1,2,3,4,5,6,7,8 週
Tuesday 9,10(16:30~18:20) |
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Remarks |
Restriction: MA students and beyond OR Restriction: Ph. D students
The upper limit of the number of students: 80. |
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Course introduction video |
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Table of Core Capabilities and Curriculum Planning |
Table of Core Capabilities and Curriculum Planning |
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Course Syllabus
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Please respect the intellectual property rights of others and do not copy any of the course information without permission
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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. |
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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. |
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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。 |
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Student Workload (Expected weekly study hours before and/or after class) |
20 |
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Office Hours |
Appointment required. Note: In class or by email appointment. |
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Designated reading |
1. Rudin, Principles of Mathematical Analysis, 3rd ed., McGraw Hill. (Textbook) |
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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) |
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Grading |
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No. |
Item |
% |
Explanations for the conditions |
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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%. |
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Adjustment methods for students |
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Teaching methods |
Assisted by video |
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Assignment submission methods |
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Exam methods |
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Others |
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Week |
Date |
Topic |
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Week 1 |
8/12 |
Lecture 1-2: Constructing the Rational Numbers; Properties of Q |
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Week 2 |
8/16 |
Lecture 3-4: Construction of R; The Least Upper Bound Property |
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Week 3 |
8/19 |
Lecture 5-6: Complex Numbers; The Principle of Induction |
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Week 4 |
8/22 |
Lecture 7-8: Countable/uncountable Set; Cantor Diagonalization, Metric Space |
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Week 5 |
8/26 |
Lecture 9-10: Limit Points; Relationship between Open and Closed Sets |
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Week 6 |
8/30 |
Final Exam 1 (You pass the course if you pass this exam!) |
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Week 7 |
9/03 |
Lecture 11-12: Compact Sets; Relationship between Compact, Closed Sets |
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Week 8 |
9/10 |
Lecture 13-14: Compactness, Heine-Borel Theorem; Connected Sets, Cantor Sets |
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Week 9 |
9/17 |
Holiday: Mid-Autumn Festival |
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Week 10 |
9/24 |
Lecture 15-16: Convergence of Sequences; Subsequences, Cauchy Sequences |
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Week 11 |
10/01 |
Review Session (Answer questions, solve quiz and preview next lecture) |
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Week 12 |
10/08 |
Lecture 17-18: Complete Spaces; Brouwer Fixed-Point Theorem |
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Week 13 |
10/15 |
Review Session (Answer questions, solve quiz and review for final exam) |
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Week 14 |
10/22 |
Final Exam 2 |