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現在位置: ホーム ja シラバス(2020年度) 工学部 地球工学科 Engineering Mathematics B1

Engineering Mathematics B1

JA | EN

科目ナンバリング
  • U-ENG23 23510 LE55
開講年度・開講期 2020・後期
単位数 2 単位
授業形態 講義
対象学生 学部生
使用言語 英語
曜時限 木2
教員
  • QURESHI,Ali Gul(工学研究科 准教授)
授業の概要・目的 The course introduces the theory of complex functions and their applications.
到達目標 To understand the properties of holomorphic or analytic functions. To learn Taylor and Laurent series' expansion. To calculate the residue and to learn the engineering applications of complex function theory.
授業計画と内容 Lecture 1-3: Review (Definition of complex numbers, complex plane and review of vector analysis.)

Lecture 4-12: Basic theory of complex functions (Derivative of complex functions, Cauchy-Riemann equation. Concept and properties of holomorphic 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.)

Lecture 13-14: Application of theory of complex functions (Application of residue theorem to calculate the definite integral.)

Lecture 15: Examination

Lecture 16: Feedback Class
成績評価の方法・観点 Class participation, quiz, mid-term and end of term examination.
履修要件 Basic Calculus (From the university curriculum: Calculus A and B, Advanced Calculus A)
授業外学習(予習・復習)等 Students are advised to do the assigned homework.
教科書
  • Materials given during the lecture and some useful books are introduced during the lectures.
参考書等
  • Materials given during the lecture.