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 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.
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.
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.
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