Complex analysis plays an important role in mathematical and computing sciences. The objective of this course is to provide the fundamentals of complex analysis. Topics include complex numbers, holomorphic functions, and the residue theorem.
The students are expected to understand the fundamentals of complex analysis appeared in mathematical and computing sciences and also to be able to apply them to practical problems.
Complex number, holomorphic function, residue theorem
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
The lectures provide the fundamentals of complex analysis with recitation sessions.
Course schedule | Required learning | |
---|---|---|
Class 1 | Complex number | Understand the contents covered by the lecture. |
Class 2 | Recitation class is opened in accordance with lectures. | Cultivate a better understanding of lectures. |
Class 3 | Elementary function | Understand the contents covered by the lecture. |
Class 4 | Recitation class is opened in accordance with lectures. | Cultivate a better understanding of lectures. |
Class 5 | Holomorphic function | Understand the contents covered by the lecture. |
Class 6 | Recitation class is opened in accordance with lectures. | Cultivate a better understanding of lectures. |
Class 7 | Complex integration | Understand the contents covered by the lecture. |
Class 8 | Recitation class is opened in accordance with lectures. | Cultivate a better understanding of lectures. |
Class 9 | Cauchy's theorem | Understand the contents covered by the lecture. |
Class 10 | Recitation class is opened in accordance with lectures. | Cultivate a better understanding of lectures. |
Class 11 | Taylor expansion | Understand the contents covered by the lecture. |
Class 12 | Recitation class is opened in accordance with lectures. | Cultivate a better understanding of lectures. |
Class 13 | Residue theorem | Understand the contents covered by the lecture. |
Class 14 | Recitation class is opened in accordance with lectures. | Cultivate a better understanding of lectures. |
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
See Japanese textbook above.
References are provided in the lectures.
Evaluation is based on the final report and the results of the exercises.
None.