CO2013: Engineering Mathematics – Complex Analysis, 2021

 

-課程公告 10 (2022/1/21)----------------------------------------------------------------------------------------------

 

學期: 1101 , 課號: CO2013

修課人數: 64

全班總平均: 67.84375

標準差: 20.2658667997

最高分: 99

最低分: 14

分數級距

人數

100

0

90-99

4

80-89

13

70-79

22

60-69

14

50-59

1

40-49

2

30-39

3

20-29

2

10-19

3

0-9

0

 

張大中 老師 2022/1/21

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-課程公告 9 (2022/1/8)----------------------------------------------------------------------------------------------

**本課程期末考日期是 2022/1/13 (星期四)下午1:00-3:00,大家請注意準備! 考試時間如果有延長請依據考卷上面的時間與現場助教公告為準。

 

考試範圍: 講義Unit-4 pp. 1-71, pp. 83-104。這邊再提供講義中考試範圍內的三題讓大家回家練習題目的參考解說,期末準備上有問題歡迎隨時寄 mail 給我!

 

三題回家練習題的參考解答

 

期末考請大家好好準備,學期成績佔比 35%,考好/考壞學期成績可能大翻盤,務必把講義中的觀念與題目都弄清楚並且好好練習,如果能熟練講義觀念與題目期末考得80分以上沒有難度,再做熟考試範圍的考古題期末考破表分數等你來拿! 祝大家期末考順利,腦袋越來越聰明!

 

張大中 老師 2022/1/8

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-課程公告 8 (2021/12/24)----------------------------------------------------------------------------------------------

**公告本課程 EX-3 考試成績與 3次考試累積成績分佈圖給大家參考,大家期末考加油 & 順利。

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


張大中 老師 2021/12/24

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-課程公告 7 (2021/11/28)----------------------------------------------------------------------------------------------

**本課程 Unit-4 講義以及單元考古題已上線,請同學們可提前下載準備。

 

Unit-4 講義: https://pse.is/3ug8by

Unit-4 考古題: https://pse.is/3tfdpp

 

第三次考試範圍為 Unit-3,考試日期預定為 2021/12/16 (星期四),請大家提早安排時間作準備。

 

張大中 老師 2021/11/28

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-課程公告 6 (2021/11/25)----------------------------------------------------------------------------------------------

**公告本課程 EX-1 EX-2 兩次考試成績分布圖給大家參考,以目前累積分數預估學期成績可能會不理想的同學將會收到預警,請同學要多留意。在課程學習上有問題的同學,歡迎隨時找我聊聊。

 

 

 

 

 

 

 

 

 

 

 

 


張大中 老師 2021/11/25

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-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

 

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

4.     Residue Integration

HW#4 (Textbook Exercises)

5.6: 1, 2, 12

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, 14, 15, 16, 17, 18, 19

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, 6, 7, 8, 9, 10, 11

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 (1:00-2:50 pm, Nov. 11, 2021)

Exam-3    Solution (1:00-2:50 pm, Dec. 16, 2021)

Exam-4    Solution (1:00-2:50 pm, Jan. 13, 2022)

 

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 (成績登記有疑問同學請於1/20 下午 2:00 以前請洽詢助教提出修正。)