Engineering Mathematics B1
| Numbering Code | U-ENG23 22051 LJ55 | Year/Term | 2022 ・ Second semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Wed.5 | |
| Instructor name | HARADA EIJI (Graduate School of Engineering Associate Professor) | |||
| Outline and Purpose of the Course | The course introduces theory of complex functions and its applications. | |||
| Course Goals | To understand the properties of regular function. To learn Taylor expansion and Laurent expansion. To calculate residues. To learn some applications for engineering. | |||
| Schedule and Contents |
Introduction[2times]: Definition of complex numbers, complex plane and review of vector analysis Basic theory of complex functions[8times]: Derivative of complex functions,Cauchy-Riemann equations, Concept and properties of regular functions, Cauchy's integral theorem, Cauchy's integral formula, Taylor series and Laurent series, Classification of singularities, Residue theorem, Various complex functions and their properties. Application of theory of complex functions[4times]: Application of residue theorem to calculation of definite integrals, Multivalued functions. Learning achievement test[1time]: Learning achievement test. Feedback |
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| Evaluation Methods and Policy | Term-end examination and attendance. | |||
| Course Requirements | Basic Calculus (From the university curriculum: Calculus A and B, Advanced Calculus A). | |||
| Study outside of Class (preparation and review) | Basic Calculus | |||
| Textbooks | Textbooks/References | None. | ||
| References, etc. | Useful material is introduded during the lecture. | |||
| Related URL | ||||
