標題: 複變函數Complex Variables 作者: 陳永平Open Education Office開放教育推動中心 公開日期: 2014 摘要: 課程首頁 本課程是由交通大學電機工程學系提供。 熟悉複數變數之理論及應用。課程目標/概述 熟悉複數變數之理論及應用。 課程章節 課程章節 單元主題 Complex numbers CV1 Complex Numbers: Basic Operations and Properties CV2 Complex Numbers: Exponential Form and de Moivre’s Formula CV3 Complex Numbers: Regions in the Complex Plane Analytic Functions CV4 Analytic Functions : Functions of Complex Variables CV5 Analytic Functions : Limits and Continuity CV6 Analytic Functions : Derivatives and Cauchy-Riemann Equations CV7 Analytic Functions : Analytic Functions Elementary Functions CV8 Elementary Functions : LogarithmicFunctions CV9 Elementary Functions : Trigonometric and Hyperbolic Functions Integrals CV10 Integrals : Contour Integrals CV11 Integrals : Cauchy Integral Formula Series CV12 Series Residues and Poles CV13 Residues: Cauchy’s Residue Theorem CV14 Residues: Poles and Zeros CV15 Residues: Evaluation of Improper Integrals CV16 Residues: Special Integral methods CV17 Residues: Inverse Laplace Transform Applications of Residues CV18 Argument Principle Mapping CV19 Mapping: Elementary Transformations CV20 Mapping: Conformal Transformation 課程書目 以課程講義為主。 參考書目 Complex Variable and Application by Brown and Churchill (Published by McGraw-Hill) 新月圖書/東華書局 評分標準 項目 百分比 第一次期中考 25% 第二次期中考 25% 期末考 25% 作業(含小考) 20% 專題報告 5%授課對象：大學2年級學生預備知識：微積分、微分方程 URI: http://ocw.nctu.edu.tw/course_detail.php?bgid=8&nid=498http://hdl.handle.net/11536/108484 Appears in Collections: Open Course Ware