Applied Mathematics for Engineering F1
| Numbering Code |
U-ENG25 22055 LJ55 U-ENG25 22055 LJ75 |
Year/Term | 2022 ・ Second semester | |
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| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Tue.3 | |
| Instructor name | NISHIKAWA MASAAKI (Graduate School of Engineering Associate Professor) | |||
| Outline and Purpose of the Course |
[Introduction to complex analysis and some applications] The objective is to explain the fundamentals of complex analysis, considering the application to engineering and science. The differential and integral calculus of complex functions, the relevant basic ideas, and the applications are introduced. |
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| Course Goals | Understanding the basics of complex analysis and obtaining ability to practice it | |||
| Schedule and Contents |
1. Definition of complex and complex plane 2-3. Differential of complex functions and Cauchy-Riemann relation 4-5. Concept and examples of regular functions 6. Line integral of complex functions 7-8. Cauchy's theorem and integral formula 9-10. Taylor and Laurent series 11-12. Singular points and residue theorem 13. Application to definite integral 14. Concept of conformal mapping, other topics 15. Feedback Confirmation of learning achievement: Regular examination |
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| Evaluation Methods and Policy |
【Evaluation method】 Evaluation will be mainly based on regular examination. In some cases, evaluation for homework (short reports: about four times) will be also considered. (In these cases, the ratio of the evaluations for regular examination and homework is about 9:1.) 【Evaluation standard】 Evaluation will be based on class registration guideline. |
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| Course Requirements | Fundamentals of differential and integral calculus | |||
| Study outside of Class (preparation and review) | Homework (short reports) for the problems stated in the textbooks will be assigned. | |||
| Textbooks | Textbooks/References | Outline of complex analysis (Fukuso-kaisekigaku Gaisetsu), A. Fujimoto, (Baifukan), ISBN:978-4563005719, in Japanese, published in 1990. | ||
| References, etc. | To be referred to during the course | |||
| Related URL | ||||
