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教學大綱暨計畫 Syllabus & Teaching Plan
課程名稱
Course Name
複變函數
Functions of a complex variable
系所課號
Curriculum No.
EE3082
學年期 / 課號
Semester / Serial No
110  - 1  / 1260
修別
Required/Elective
選修
授課方式
Course Type
課堂教學
開課班級
Class
四電機三
講授-實習-學分
Credits
3-0-3
上課時間教室
Schedule/Classroom
3-GHZ/EL103
授課教師(教師所屬系所)
Instructor(Department)
許崇宜(電機系)
人數上限
Max
限60人
教師聯絡資訊E-mail及分機(可洽詢教師所屬系所)
Instructor’s E-mail and Ext.(contact the department)
cghsu@yuntech.edu.tw / 4267
備註
Instructor
1100925停開
課程簡介
Course Introduction
Complex analysis is an import branch of mathematics. It is usually given as the last part of a book on Advanced Engineering Mathematics, and has found applications in many engineering fields, such as nuclear, aerospace, mechanical, and electrical engineering. In addition, this topic is currently in the examination scope of Engineering Mathematics in Senior Professional and Technical Examinations for Engineers (專門職業及技術人員高等考試技師考試).
教學目標
Teaching Objectives
1. Familiarize the students with the concept of analytic functions.
2. Familiarize the students with the properties of some complex elementary complex functions, such as exponential, logarithmic, trigonometric functions, and the inverses of them.
3. Familiarize the students with contour integrals in the complex plane and with residue theorems.
4. Familiarize the students with linear fractional transformations.
評量方式
Evaluation methods
Mid-term exam 33~40%
Final exam 45~35%
Quizzes and/or HW 10~15%
Attendance & in-class performance 12~10%
課業輔導時間
Office hours
Monday 13:00~15:00
Wednesday 11:00~12:00, 13:00~15:00
教材網站資訊
Teaching Materials
教材不適合上網的理由：根據教科書內容進行板書教學，有智財權之顧慮，不適合上網。
教學計畫附件
Attachment File
Books
教材及參考書目
Calendar
教學計畫及進度
CourCore
核心能力關聯
※請遵守智慧財產權觀念。不得非法影印教科書。 
週次教學內容與作業進度教學方式備註各週遠距上課網址( 按我進TronClass課程目錄 )
第1週 Complex variables, powers, and roots. 面授
第2週 Sets in the complex plane. 面授
第3週 Analytic functions and Cauchy-Riemann equations 面授
第4週 Exponential, logarithmic, trigonometric, hyperbolic, and inverse trigonometric & hyperbolic functions 面授
第5週 Exponential, logarithmic, trigonometric, hyperbolic, and inverse trigonometric & hyperbolic functions. 面授
第6週 Contour integrals and Cauchy-Goursat Theorem 面授
第7週 Contour integrals and Cauchy-Goursat Theorem 面授
第8週 Cauchy integral Formulas 面授
第9週 期中考試週 面授
第10週 Taylor series, zeros, and poles 面授
第11週 Residues and Cauchy residue theorems 面授
第12週 Residues and Cauchy residue theorems 面授
第13週 Integrals involving multi-valued functions 面授
第14週 Integrals involving multi-valued functions 面授
第15週 Conformal mapping, linear fractional transformations 面授
第16週 Conformal mapping, linear fractional transformations 面授
第17週 Poisson integral formulas 面授
第18週 Final exam 面授
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