一、課程基本資料 Course Information | ||||||||||||||||||||||||||||||||||||||||
科目名稱 Course Title: (中文)複變函數論 (英文)INTRODUCTION TO COMPLEX ANALYSIS |
開課學期 Semester:108學年度第2學期 開課班級 Class:數學三 |
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授課教師 Instructor:張秀瑜 CHANG, SHIOW-YU | ||||||||||||||||||||||||||||||||||||||||
科目代碼 Course Code:BMA30801 | 單全學期 Semester/Year:單 | 分組組別 Section: | ||||||||||||||||||||||||||||||||||||||
人數限制 Class Size: | 必選修別 Required/Elective:必 | 學分數 Credit(s):4 | ||||||||||||||||||||||||||||||||||||||
星期節次 Day/Session: 二56 五34 | 前次異動時間 Time Last Edited:109年03月12日17時52分 | |||||||||||||||||||||||||||||||||||||||
數學系基本能力指標 Basic Ability Index | ||||||||||||||||||||||||||||||||||||||||
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二、指定教科書及參考資料 Textbooks and Reference (請修課同學遵守智慧財產權,不得非法影印) |
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●指定教科書 Required Texts E.B. SAFF and A.D. SNIDER, Fundamentals of Complex Analysis for Mathmatics, Sience, and Engineering ●參考書資料暨網路資源 Reference Books and Online Resources Complex Variables, R. B. Ash and W.P. Novinger Copyright 2004 by R. B. Ash and W.P. Novinger. Paper or electronic copies for non-commercial use may be made freely without explicit ermission of the authors Churchill Brown, Complex Variable and Applications Boas: INVITATION TO COMPLEX ANALYSIS. | ||||||||||||||||||||||||||||||||||||||||
三、教學目標 Objectives | ||||||||||||||||||||||||||||||||||||||||
學習複變函數論基本理論,藉以奠定數學分析與應用數學的基礎. | ||||||||||||||||||||||||||||||||||||||||
We study the basics of complex analysis to accomplish the elementary theory for mathematic analysis and applied mathematics. | ||||||||||||||||||||||||||||||||||||||||
四、課程內容 Course Description | ||||||||||||||||||||||||||||||||||||||||
●整體敘述 Overall Description The Cauchy-Riemann Equations, Harmonic Functions, The Logarithm Function, Intergation on Paths, Cauchy's Integral Theorem, Power Series, the Complex Exponential, Cauchy's Integral formula, The Fundamental Theorem of Algebra, The Identity Theorem, Maximum Principle, Widing Number, The General Cauchy Theorem, and so on. |
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●分週敘述 Weekly Schedule |
五、考評及成績核算方式 Grading | ||||||||||||||||||||||||||||
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六、授課教師課業輔導時間和聯絡方式 Office Hours And Contact Info | ||||||||||||||||||||||||||||
●課業輔導時間 Office Hour 星期二: 10:10~12:00 星期四: 8:00~10:00 |
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●聯絡方式 Contact Info
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七、教學助理聯絡方式 TA’s Contact Info | |||||
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八、建議先修課程 Suggested Prerequisite Course | |||||
九、課程其他要求 Other Requirements | |||||
十、學校教材上網及教師個人網址 University’s Web Portal And Teacher's Website | |||||
學校教材上網網址 University’s Teaching Material Portal: 東吳大學Moodle數位平台:http://isee.scu.edu.tw |
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教師個人網址 Teacher's Website: | |||||
其他 Others: | |||||
十一、計畫表公布後異動說明 Changes Made After Posting Syllabus | |||||