教學大綱表 (112學年度 第2學期)
請遵守智慧財產權,勿使用非法影印教科書,避免觸法。
課程名稱
Course Title
(中文) 複變數論
(英文) Complex Variables
開課單位
Departments
電機工程學系
課程代碼
Course No.
E2080
授課教師
Instructor
江江盛
學分數
Credit
3.0 必/選修
core required/optional
選修 開課年級
Level
大二
先修科目或先備能力(Course Pre-requisites):微積分,工程數學
課程概述與目標(Course Overview and Goals): 此課程提供給學習者,結合微積分及複數的特性,推導出一套運算的數學工具,可以有效的解決一些工程上的演算問題。
教科書(Textbook) J. W. Brown & R. V. Churchill (2003), "Complex Variables and Applications," McGraw-Hill International Editions.
參考教材(Reference)
課程大綱 Syllabus 學生學習目標
Learning Objectives
單元學習活動
Learning Activities
學習成效評量
Evaluation
備註
Notes

No.
單元主題
Unit topic
內容綱要
Content summary
1 COMPLEX NUMBERS 1. Sum and Product
2. Exponential Form
1. Sum and Product
2. Exponential Form
 
2 ANALYTIC FUNCTIONS 1. Functions of a Complex Variable
2. Limits; Cauchy-Riemann Equations
1. Functions of a Complex Variable
2. Limits; Cauchy-Riemann Equations
 
3 ANALYTIC FUNCTIONS 1. Functions of a Complex Variable
2. Limits; Cauchy-Riemann Equations
1. Functions of a Complex Variable
2. Limits; Cauchy-Riemann Equations
 
4 ANALYTIC FUNCTIONS 1. Functions of a Complex Variable
2. Limits; Cauchy-Riemann Equations
1. Functions of a Complex Variable
2. Limits; Cauchy-Riemann Equations
 
5 ELEMENTARY FUNCTIONS 1. Some Identities Involving Logarithms
2. Inverse Trigonometric Functions
1. Some Identities Involving Logarithms
2. Inverse Trigonometric Functions
 
6 ELEMENTARY FUNCTIONS 1. Some Identities Involving Logarithms
2. Inverse Trigonometric Functions
1. Some Identities Involving Logarithms
2. Inverse Trigonometric Functions
 
7 ELEMENTARY FUNCTIONS 1. Some Identities Involving Logarithms
2. Inverse Trigonometric Functions
1. Some Identities Involving Logarithms
2. Inverse Trigonometric Functions
 
8 期中考 期中考 期中考  
9 INTEGRALS 1. Contour Integrals
2. Cauchy-Goursat Theorem
3. Cauchy Integral Formula
1. Contour Integrals
2. Cauchy-Goursat Theorem
3. Cauchy Integral Formula
 
10 INTEGRALS 1. Contour Integrals
2. Cauchy-Goursat Theorem
3. Cauchy Integral Formula
1. Contour Integrals
2. Cauchy-Goursat Theorem
3. Cauchy Integral Formula
 
11 SERIES 1. Convergence of Sequences and Series
2. Laurent Series
3. Multiplication and Division of power series
1. Convergence of Sequences and Series
2. Laurent Series
3. Multiplication and Division of power series
 
12 SERIES 1. Convergence of Sequences and Series
2. Laurent Series
3. Multiplication and Division of power series
1. Convergence of Sequences and Series
2. Laurent Series
3. Multiplication and Division of power series
 
13 SERIES 1. Convergence of Sequences and Series
2. Laurent Series
3. Multiplication and Division of power series
1. Convergence of Sequences and Series
2. Laurent Series
3. Multiplication and Division of power series
 
14 RESIDUES AND POLES 1. Residue Theorems
2. Residues at Poles
3.
1. Residue Theorems
2. Residues at Poles
3.
 
15 APPLICATIONS OF RESIDUES 1. Evaluation of Improper Integrals
2. Indented Paths
3. Inverse Laplace Transforms
1. Evaluation of Improper Integrals
2. Indented Paths
3. Inverse Laplace Transforms
 
16 期末考 期末考 期末考  
彈性教學週活動規劃

No.
實施期間
Period
實施方式
Content
教學說明
Teaching instructions
彈性教學評量方式
Evaluation
備註
Notes
1 起:2024-06-10 迄:2024-06-14 1.同步遠距教學 Synchronous distance learning Applications of Residues-I Homework
2 起:2024-06-17 迄:2024-06-21 1.同步遠距教學 Synchronous distance learning Applications of Residues-II Homework


教學要點概述:
1.自編教材 Handout by Instructor:
□ 1-1.簡報 Slids
□ 1-2.影音教材 Videos
□ 1-3.教具 Teaching Aids
■ 1-4.教科書 Textbook
□ 1-5.其他 Other
□ 2.自編評量工具/量表 Educational Assessment
□ 3.教科書作者提供 Textbook

成績考核 Performance Evaluation: 期末考:25%   期中考:25%   彈性教學:10%   平時考:20%   作業:20%  

教學資源(Teaching Resources):
□ 教材電子檔(Soft Copy of the Handout or the Textbook)
□ 課程網站(Website)
扣考規定:https://curri.ttu.edu.tw/p/412-1033-1254.php