Engineering Mathematics B1

Numbering Code U-ENG23 23510 LE55 Year/Term 2021 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language English Day/Period Thu.2
Instructor name QURESHI,Ali Gul (Graduate School of Engineering Associate Professor)
Outline and Purpose of the Course The course introduces the theory of complex functions and their applications.
Course Goals 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.
Schedule and Contents Review,3times,Definition of complex numbers, complex plane and review of vector analysis.
Basic theory of complex functions,3times,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.
Application of theory of complex functions,2times,Application of residue theorem to calculate the definite integral. Deviation principle and its application. Solution of boundary value problems of partial differential equations.
Evaluation Methods and Policy Class participation, quiz, mid-term and end of term examination.
Course Requirements Basic Calculus (From the university curriculum: Calculus A and B, Advanced Calculus A)
References, etc. Materials given during the lecture.
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