Course title 
Introduction to Real Analysis 
Semester 
1112 
Designated for 
COLLEGE OF SOCIAL SCIENCES GRADUATE INSTITUTE OF ECONOMICS 
Instructor 
JOSEPH TAOYI WANG 
Curriculum Number 
ECON5200 
Curriculum Identity Number 
323EU0050 
Class 

Credits 
3.0 
Full/Half Yr. 
Half 
Required/ Elective 
Elective 
Time 
Monday 2,3,4(9:10~12:10) 
Remarks 
The upper limit of the number of students: 32. 


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 
[Please visit the course website for more details: https://homepage.ntu.edu.tw/~josephw/mathcamp_23S.htm ]
This is a flipped online course to help you go through the introduction of (undergraduate) real analysis, focusing on the first five chapter of Rudin’s Principles of Mathematical Analysis. The purpose is to introduce economics students to pointset topology which forms the foundation of Advanced Calculus, so they can study abstract mathematics required for graduate studies in economics. Note this course cannot substitute “Introduction to Real Analysis I” (5 units). 
Course Objective 
Students are expected to:
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 InClass: Take weekly quizzes of 50 minutes each, which solutions are discussed immediately. Come and ask questions in office hours before the quiz! 
Course Requirement 
Students are expected to know Calculus 13 prior to taking this course. 
Student Workload (expected study time outside of class per week) 
20 hours 
Office Hours 
Mon. 09:10~10:00 Note: Monday 9:1010:00am in class or by email appointment 
References 
Tao, Analysis I: Third Edition, Springer. (ebook available through NTU library: https://link.springer.com/book/10.1007/9789811017896)
Protter and Morrey, A First Course in Real Analysis, 2nd ed., Springer.
Interactive Real Analysis: https://mathcs.org/analysis/reals/index.html 
Designated reading 
Rudin, Principles of Mathematical Analysis, 3rd ed., McGraw Hill. 
Grading 
No. 
Item 
% 
Explanations for the conditions 
1. 
Weekly Quizzes 
50% 
5% each for 10 highest. When a quiz is taken online, it counts for only 1%; the remaining 4% will be replaced by the final exam, so if all quizzes are taken online, final exam will count as 90%. 
2. 
Final Exam 
50% 
6/5 (during finals week). When a quiz is taken online, it counts for only 1%; the remaining 4% will be replaced by the final exam, so if all quizzes are taken online, final exam will count as 90%. 

Adjustment methods for students 
Teaching methods 
Assisted by recording, Assisted by video, Provide students with flexible ways of attending courses 
Assignment submission methods 

Exam methods 

Others 

