CO2013: Engineering Mathematics – Complex Analysis, 2021

 

-課程公告 4 (2021/10/1)----------------------------------------------------------------------------------------------

**本課程訂於 2021/10/21 (星期四) 1:00-2:50 pm 舉行第一次實體考試,範圍 Unit 1-1 Unit 1-2,請同學們盡早預作準備。建議同學可下載Unit 1 重新整理之近年歷屆考古題Testbank作練習,可在課程網頁查閱歷屆考題所附之參考解答。

 

張大中 老師 2021/10/1

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-課程公告 3 (2021/9/25)----------------------------------------------------------------------------------------------

**因應學校通知同學們於 9/27-10/1施打 Covid-19疫苗請假與休息需要,本課程決定所有Unit 1的三個單元皆改為非同步線上課程形式,線上課程將再續延一周至 10/1。請同學之後自行於近日所有單元課程完成上線後於下面位址連結:

 

Unit 1-1 Complex Number

Unit 1-1講義

Video Part-1

Video Part-2 (錯誤注意: page 22, time 20:22 , 5 應修正為 13)

 

Unit 1-2 Complex Analytic Functions

Unit 1-2講義

Video Part-1

Video Part-2

 

Unit 1-3 Complex Elementary Functions

Unit 1-3講義

Video Part-1

Video Part-2

 

若對於課程內容有任何問題討論可隨時於 ee-class (https://ncueeclass.ncu.edu.tw/) 中留言並可直接 email to: dcchang@ce.ncu.edu.tw 詢問。同學在線上課程學習上有任何疑問,歡迎跟我先約定時間於 9/29 () 1:00-2:00pm 以及 9/30 () 1:00-3:00pm 的課程時段來找我諮詢討論。

 

** 本課程將於 2021/10/6 (星期三) 起自 Unit 2 Complex Integration 單元恢復實體上課,請同學於實體上課前先下載準備好 Unit 2講義。

 

張大中 老師 2021/9/25

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-課程公告 2 (2021/9/23)----------------------------------------------------------------------------------------------

**本課程Unit 1單元 非同步課程已上線,請於下面連結

 

Unit 1-1 Complex Number

Unit 1-1講義

Video Part-1 (錯誤注意: page 22, time 20:22 , 5 應修正為 13)

Video Part-2

 

Unit 1-2 Complex Analytic Functions

Unit 1-2講義

Video Part-1

Video Part-2

 

若對於課程內容有任何問題討論可隨時於 ee-class (https://ncueeclass.ncu.edu.tw/) 中留言並可直接 email to: dcchang@ce.ncu.edu.tw 詢問。

 

** 全校預計將於 2021/9/27起恢復實體上課,本課程將自 Unit 1-3 Complex Elementary Functions 單元開始進行實體課程,請同學可先下載準備好 Unit 1-3 講義

 

張大中 老師 2021/9/23

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-課程公告 1 (2021/9/13)----------------------------------------------------------------------------------------------

** 因應 COVID-19 防疫,本課程第一單元 (U1. Complex Number) 教學將以線上非同步課程型態進行,同學可於錄影課程上線後,自行於本課程網頁中的 Course outline 點選進入觀看課程。若對於課程內容有任何問題討論可隨時於 ee-class (https://ncueeclass.ncu.edu.tw/) 中留言並可直接 email to: dcchang@ce.ncu.edu.tw 詢問。

 

** 全校恢復實體上課時間請注意校方公告,實體課程開始單元將再依進度調整並公告。

 

張大中 老師 2021/9/13

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Instructor

Prof. Dah-Chung Chang, E-mail: dcchang@ce.ncu.edu.tw

Office: E1-311, TEL: 03-4227151 ext. 35511

 

Lecture Time

Wed. 1:00-1:50pm, Thur. 1:00-2:50pm

 

TA Information

       Office: E1-306, TEL: 03-4227151 ext. 35534

 

 

** 順利通過複變課程的三個步驟:

  1. 上課用心聽講作記錄, 弄清楚講義觀念與熟悉重點定理。

  2. 課後做課本相關單元例題與勾選的練習題。

  3. 細心練習歷屆考古題, 掌握考試題型與磨練臨場解題。

** 祝大家學習愉快!

 

Course Outline

1.      Complex Analytic Functions

1-1      Complex Number

 Video Part-1

 Video Part-2 (錯誤注意: page 22, time 20:22 , 5 應修正為 13)

HW#1 (Textbook Exercises)

1.2: 13, 14, 15, 16

1.3: 4, 5, 7, 12

1.4: 1, 2, 3, 4, 5, 12, 20, 21, 23

1.5: 4, 5, 7, 9, 10, 11, 14, 15, 16 17

1.6: 2, 3, 4, 5, 6, 7, 8

1.7: 1

 

1-2     Complex Analytic Functions

Video Part-1

Video Part-2

2.1: 1, 2, 4

2.2: 7, 8, 9, 11, 14, 15, 21, 25

2.3: 4, 9, 10, 11, 14, 15

2.4: 1, 2, 3, 5, 6, 12

2.5: 3, 6, 10, 12, 18, 22

 

<Exam-1: occupying 15% of Final Grade>

 

1-3     Complex Elementary Functions

Video Part-1

Video Part-2

HW#2 (Textbook Exercises)

3.1: 3, 5, 11, 13, 15, 17

3.2: 1, 4, 5, 8, 10, 11, 12, 16, 17

3.3: 1, 3, 4, 5

3.5: 1, 3, 5, 6, 7, 8, 10

 

2.     Complex Integration

4.1: 1, 7, 8, 9, 10, 11

4.2: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17

4.3: 1, 2, 4

4.4: 10, 13, 15, 16, 17, 18, 20

4.5: 1, 3, 4, 5, 6, 7, 8, 10

4.6: 1, 2, 4, 5, 18

 

<Exam-2: occupying 25% of Final Grade >

3.     Complex Series

HW#3 (Textbook Exercises)

5.1: 1, 2, 3, 4, 5, 7, 10, 11, 16

5.2: 1, 4, 6, 11, 13

5.3: 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 18

5.5: 1, 3, 5, 7, 9

5.6: 1, 2, 12

 

<Exam-3: occupying 25% of Final Grade>

4.     Residue Integration

HW#4 (Textbook Exercises)

6.1: 1, 3, 6, 7

6.2: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

6.3: 1, 2, 3, 4, 5, 6, 7, 8, 11

6.4: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

6.5: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

6.6: 1, 2, 3, 4, 5, 6, 7, 8

6.7: 1, 2, 3, 4

8.2: 1, 2, 3, 5 ,6

8.3: 1, 3 ,4 ,5 ,6

<Exam-4: occupying 35% of Final Grade >

 

5.     Conformal Mapping

7.3: 2, 3, 7, 8, 9

7.4: 1, 2

 

LectureNotes

       Cover

       Table of Contents

       Unit-1  Unit 1-1  Unit 1-2  Unit 1-3

       Unit-2

       Unit-3 

       Unit-4 

 

Testbank 2016-2020

Unit-1  

Unit-2   

Unit-3  

Unit-4  

 

Examination in 2021 Class

Exam-1    Solution (1:00-2:50 pm, Oct. 21, 2021)

Exam-2    Solution

Exam-3    Solution

Exam-4    Solution

 

Examination in 2020 Class

Exam-1    Solution (1:00-2:50 pm, Oct. 23, 2020)

Exam-2    Solution (1:00-2:50 pm, Nov. 20, 2020)

Exam-3    Solution (1:00-2:50 pm, Dec. 18, 2020)

Exam-4    Solution (1:00-2:50 pm, Jan. 15, 2021)

 

Examination in 2019 Class

Exam-1    Solution (1:00-2:50 pm, Oct. 18, 2019)

Exam-2    Solution (1:00-2:50 pm, Nov. 22, 2019)

Exam-3    Solution (1:00-2:50 pm, Dec. 13, 2019)

Exam-4    Solution (1:00-2:50 pm, Jan. 3, 2020)

 

Examination in 2018 Class

Quiz-1    Solution (1:00-2:50 pm, Oct. 19, 2018)

Quiz-2    Solution (1:00-2:50 pm, Nov. 16, 2018)

Midterm  Solution (1:00-2:50 pm, Dec. 7, 2018)

Quiz-3    Solution (1:00-2:50 pm, Dec. 28, 2018)

Final     Solution (1:00-3:00 pm, Jan. 11, 2019)

 

Examination References in 2016 Class

Quiz-1    Solution

Quiz-2    Solution

Midterm  Solution

Quiz-3    Solution

Final     Solution

 

Course Material

Textbook:

E. B. Saff and A. D. Snider, Fundamentals of Complex Analysis: Engineering, Science, and Mathematics, 3rd Edition, 2014. (ISBN: 978-1-292-02375-5, 滄海書局代理)

References

1.        J. H. Mathew and R. W. Howell, Complex Analysis for Mathematics and Engineering, 6th ed. 2012. (ISBN-13: 978-1449604455, 滄海書局代理)

2.       E. Kreyszig, Advanced Engineering Mathematics, 10th ed., 2011, Chapters 13-17. (ISBN: 978-0-470-64613-7, 滄海書局代理)

3.       J. W. Brown and R. V. Churchill, Complex Variables and Applications, 9th ed., 2014. (ISBN: 978-1-259-07277-2, 新月圖書代理)

Grading

Policy: Exam-1,2,3*65%+Exam-4*35%

Grading Report