國立中央大學一百零三學年度上學期複變函數論ㄧ課程網頁
宣佈事項：
1/8: Practice final
1/14(三)期末考，範圍：§60-86(不含§84）
作業及段考成績已登錄在LMS系統
12/10(三)第二次期中考，範圍：§30-59(不含§51和§56）
10/22(三)第一次期中考，範圍：§1-27
考試:
Practice Midterm 1
Solutions to Practice midterm 1
midterm1
Solutions to midterm 1
Practice Midterm 2
Solutions and Hints to Practice Midterm 2
midterm2
Solutions to midterm 2
Practice final
Final Exam
作業：
作業一 : 10/1(三)
作業二 : 10/8(三)
作業三：10/15(三)
作業四：11/5(三)
作業五：11/17(ㄧ)
作業六：11/26(三)
作業七：12/3(三)
作業八：12/24(三)
作業九：1/5(一)
作業十：1/9(五)交給助教
課程進度 :
Week1:
9/15: Introduction, §1
9/17: §2-7
Week2:
9/22: §8-10
9/24: §11-12
Week3:
9/29: §13-14
10/1: §15-18
Week4:
10/6: §19-20
10/8: § 21-24
Week5:
10/13: §24-25
10/15: §25-27,30
Week6:
10/20: Review for midterm 1
10/22: Midterm 1
Week7:
10/27: §31, §103
10/29: §32-34
Week8:
11/3: §35-36
11/5: §37-40
Week9:
11/10: §41-43
11/12: §43-46
Week10:
11/17: 老師出國，1/12(一) 下午2:00-2:50補課
11/19: 學校運動會
Week11:
11/24: §47-48
11/26: §49-52
Week12:
12/1: §52-54
12/3: §54-59
Week13:
12/8: Review for midterm 2
12/10: Midterm 2
Week14:
12/15: §60-61
12/17: §62-67
Week15:
12/22: §68-69
12/24: §69-73
Week16:
12/29: §74-75
12/31: §76-79
Week17:
1/5: §80-81
1/7: §82-83, §85-86
Week18:
1/12: Review for final exam
1/14: Final Exam
Office hour and Office:
黃榮宗老師：星期二下午1點至3點或預約, 鴻經館418, 分機：65152
李孟哲助教：星期三下午12點至1點或預約，鴻經館115, 分機：65109
課本：Brown & Churchill: Complex Variables and Applications, 9th edition.
建議習題：
Chapter 1. Complex Numbers
§1-2: 2, 4, 11
§3: 1
§4-5: 1, 2, 3, 4, 5, 6, 7, 8
§6: 1, 2, 7, 9, 10, 14, 15
§7-9: 1, 2, 4, 5, 6, 9, 10
§10-11: 1, 2, 3, 4, 5, 6, 8
§12: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Chapter 2. Analytic Functions
§13-14: 1, 2, 3, 5, 6, 8
§15-18: 1, 2, 3, 5, 7, 9, 10, 11
§19-20: 2, 3, 8, 9
§21-24: 1, 2, 3, 4, 5, 8
§25-26: 1, 2, 4, 5, 6, 7
§27: 1, 2, 4
§28-29
Chapter 3. Elementary Functions
§30: 1, 2, 3, 5, 8, 11, 12
§103(page 325):1,2,3
§31-33: 1, 3, 5, 6, 7, 9, 12
§34: 2, 3
§35-36: 1, 2, 7
§37-38: 2, 6, 7, 10
§39: 5, 8, 9
§40: 2, 3, 4
Chapter 4. Integrals
§41-42:1, 2, 3, 4
§43: 1, 2, 5, 6
§44-46: 1, 2, 3, 6, 7, 9, 10
§47: 2, 5, 7, 8
§48-49: 2, 3, 4, 5
§50-53: 1, 2, 3, 4, 5, 6, 7
§54-57: 1, 2, 3, 4, 5, 7, 9
§58-59: 1, 2, 4, 5, 6, 7
Chapter 5. Series
§60-61: 2, 3, 4, 9
§62-65: 1, 2, 3, 6, 8, 10, 11
§66-68: 1, 2, 3, 4, 6, 7, 9, 10
§69-72: 1, 3, 4, 5, 6
§73: 1, 2, 4, 8, 9
Chapter 6. Residues and Poles
§74-77: 1, 2, 3, 4, 5, 6
§78-79: 1, 2
§80-81: 2, 4, 5, 6, 8
§82-83: 1, 3, 7, 8
§84
Chapter 7. Applications of Residues
§85-86: 1, 2, 4, 6, 7, 9
§87-88: 2, 4
評量配分比重：
作業10%+第一次期中考30%+第二次期中考30%+期末考30%
授課大綱：
1. Complex Numbers
2. Analytic Functions
3. Elementary Functions
4. Integrals
5. Series
6. Residues and Poles
7. Applications of Residues
8. Linear Fractional Transformations and Conformal Mapping
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