Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
For the students to develop a strong foundation in Real Analysis and the theory of integration and measure theory. |
1.Mathematical Thinking and Logic |
2.Professional Knowledge in Mathematical Analysis |
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topic Discussion/Production |
Discussion |
Lecturing |
Exercises |
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Written Presentation |
Study Outcome |
Assignment |
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Course Content and Homework/Schedule/Tests Schedule |
Week |
Course Content |
Week 1 |
1.1 Metric space(Sep.11) |
Week 2 |
1.1 Metric space 1.2 Compact & Connected sets(Sep.18) |
Week 3 |
1.3 Continuous functions(Sep.25) |
Week 4 |
2.1-2 Measurability(Oct.02) |
Week 5 |
2.3 Measure(Online class)(Oct.09) |
Week 6 |
2.4-5 Integration(Oct.16) |
Week 7 |
2.6 Measure zero sets(Oct.23) |
Week 8 |
Midterm(Oct.30) |
Week 9 |
3.1 Vector space(Nov.6) |
Week 10 |
3.2 Riesz representation Theorem(Nov.13) |
Week 11 |
3.3 Borel measure(Nov.20) |
Week 12 |
3.4-5 Lebesgue measure(Nov.27) |
Week 13 |
4.L^p - space(Dec.4) |
Week 14 |
4.L^p - space(Dec.11) |
Week 15 |
4.L^p - space(Dec.18) |
Week 16 |
Final(Dec.25) |
Week 17 |
Holiday(Jan.01) |
Week 18 |
Discussion(Jan.08) |
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Evaluation |
Homework 50%,Attendance 10%
Midterm Exam 20%, Final Exam 20% |
Textbook & other References |
Textbook:
Principles of Mathematical Analysis, Rudin, Walter, 3rd ed., McGraw-Hill, 1976;
Real and Complex Analysis, Rudin, Walter, 3rd ed., McGraw-Hill, 1986;
Real Analysis, Royden and Fitzpatrick, 4th ed., Prentice Hall, 2009.
References:
A Second Course in Mathematical Analysis, Burkill and Burkill, 3rd ed., Cambridge University Press, 2002;
Real Analysis, Stein and Shakarchi, Princeton University Press, 2005. |
Teaching Aids & Teacher's Website |
Lecture note will be distributed in the class. |
Office Hours |
Wednesday: 16:00-17:00
Thursday: 16:00-17:00
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Sustainable Development Goals, SDGs |
| include experience courses:N |
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