Engineering Mathematics B1
Numbering Code | U-ENG23 22051 LJ55 | Year/Term | 2022 ・ Second semester | |
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Number of Credits | 2 | Course Type | Lecture | |
Target Year | Target Student | |||
Language | Japanese | Day/Period | Fri.3 | |
Instructor name | SAITOU JIYUN (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 |
Preperation, 2 times definition of complex number, complex plane, vector analysis Basic of complex function, 8 times differential of complex function, Cauchy Riemann equations, regular function and its property, Cauchy's integral theorem, Cauchy's integral formula, Taylor expansion, Laurent expansion, types of isolated singularities, residue theorem Application of complex function, 4 times application of residue theorem to integral calculation, multivalued function Confirmation of achievement,1 time The achievement assessment is intended to measure students' knowledge, skill and aptitude on the subject using quiz and viva-voce. |
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Evaluation Methods and Policy |
Evaluation will be based on assignments (13 or 14 times, 20~30 points), and an examination (70~80 points). Students will submit all assignments. |
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Course Requirements | Basic Calculus (From the university curriculum: Calculus A and B, Advanced Calculus A). | |||
Study outside of Class (preparation and review) | A Report is assigned for every class for review. | |||
Textbooks | Textbooks/References | None. | ||
Related URL |