Complex Variables - 103 Academic Year
本課程是由 國立陽明交通大學電機工程學系 提供。
熟悉複數變數之理論及應用。
Textbook：老師自編講義。
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| Instructor(s) | College of Electrical and Computer Engineering Prof. Yon-Ping Chen |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 103 Academic Year |
| Level | Sophomore |
| Prior Knowledge | Calculus, Differential equations |
| Related Resources | Course Video Course Syllabus Course Calendar Course Handout |
| Week | Course Content | Course Video |
|---|---|---|
| CV1 Complex Numbers: Basic Operations and Properties | Watch Online | |
| CV2 Complex Numbers: Exponential Form and de Moivre’s Formula | Watch Online | |
| CV3 Complex Numbers: Regions in the Complex Plane | Watch Online | |
| CV4 Analytic Functions : Functions of Complex Variables | Watch Online | |
| CV5 Analytic Functions : Limits and Continuity | Watch Online | |
| CV6 Analytic Functions : Derivatives and Cauchy-Riemann Equations | Watch Online | |
| CV7 Analytic Functions : Analytic Functions | Watch Online | |
| CV8 Elementary Functions : LogarithmicFunctions | Watch Online | |
| CV9 Elementary Functions : Trigonometric and Hyperbolic Functions | Watch Online | |
| CV10 Integrals : Contour Integrals (1/2) | Watch Online | |
| CV10 Integrals : Contour Integrals (2/2) | Watch Online | |
| CV11 Integrals : Cauchy Integral Formula (1/2) | Watch Online | |
| CV11 Integrals : Cauchy Integral Formula (2/2) | Watch Online | |
| CV12 Series | Watch Online | |
| CV13 Residues: Cauchy’s Residue Theorem | Watch Online | |
| CV14 Residues: Poles and Zeros (1/2) | Watch Online | |
| CV14 Residues: Poles and Zeros (2/2) | Watch Online | |
| CV15 Residues: Evaluation of Improper Integrals | Watch Online | |
| CV16 Residues: Special Integral methods (1/2) | Watch Online | |
| CV16 Residues: Special Integral methods (2/2) | Watch Online | |
| CV17 Residues: Inverse Laplace Transform | Watch Online | |
| CV18 Argument Principle | Watch Online | |
| CV19 Mapping: Elementary Transformations (1/2) | Watch Online | |
| CV19 Mapping: Elementary Transformations (2/2) | Watch Online | |
| CV20 Mapping: Conformal Transformation (1/2) | Watch Online | |
| CV20 Mapping: Conformal Transformation (2/2) | Watch Online | |
| CV21: Final Project: Sinusoidal Response of a 3rd Order Butterworth Filter | Watch Online |
課程目標
熟悉複數變數之理論及應用。
課程章節
| 章節 | 章節內容 |
| 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
教學講義為主，可參考一般訊號與系統之書籍。
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% |
本課程行事曆提供課程進度與考試資訊參考。
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課程講義 Course Handout
| 章節 | 下載連結 |
| CV_R_Laplace transformm | |
| 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 | |
| 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 | |
| CV8 Elementary Functions : LogarithmicFunctions | |
| CV9 Elementary Functions : Trigonometric and Hyperbolic Functions | |
| CV10 Integrals : Contour Integrals | |
| CV11 Integrals : Cauchy Integral Formula | |
| CV12 Series | |
| 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 | |
| CV18 Argument Principle | |
| CV19 Mapping: Elementary Transformations | |
| CV20 Mapping: Conformal Transformation |
COURSE
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