Complex Variables I
(MATH 510, department page)
Offered Winter only
Winter 2007
Time and Place: MW 9:30 - 10:45 am, Room 211 Royall Hall
Professor: Richard Delaware
Office Hours: See Current Semester Office Hours
Office: Room 306 A, Manheim Hall
Mailbox: Room 206, Haag Hall, Dept. of Mathematics & Statistics
Phone: 816.235.2850
Email: delawarer@umkc.edu
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Dated Announcements (Most recent at the top)
- W 24 January 2007
- Homework 2: DUE M 5 Feb. (11 exercises)
II.1, p.13: 7, 8, 10.
II.2, p.17: 1, 3, 4.
II.3, p.20: 3, 4.
II.4, p.24: 1, 2, 3.
- W 10 January 2007
- Homework 1: DUE W 17 Jan. (8 exercises)
I.2, p.2: 4, 6.
I.3, p.4: 2, 3.
I.4, p.5: 3, 6, 7.
I.6, p.10: 4.
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Syllabus, Texts, Grading
PREREQUISITES:
- Math 402 (Advanced Analysis I), and
- Math 407 (Introduction to Complex Variables).
TEXTS:
- Required: FUNCTIONS OF ONE COMPLEX VARIABLE I, 2nd Edition, by John B. Conway.
- In the text, we will cover most of Chapters I-V, and probably sections VI.1-VI.2 and VII.7-VII.8.
EXAMS:
- Any Exam may include a take-home portion.
- There will be two 75 min. Exams (100 points each) during the semester, each given a letter grade for your convenience.
- The FINAL EXAM (150 points) will be held in our usual classroom, 1:00 - 3:00 pm, on Monday Apr. 30, 2007.
HOMEWORK:
- A list of suggested homework problems will be posted here. Selected problems will be collected and graded.
- For homework use only one side of standard 8½ x 11 paper. When due, put it on my desk at the start of class.
- Late assignments of any kind are NOT accepted, except by prior arrangement.
GRADES:
- 30% -- Homework (150 pts)
- 40% -- 2 Exams (100 pts each)
- 30% -- Final Exam (150 pts)
- I use grading software to provide grade reports. At the end of the semester before the Final Exam is recorded, I will drop your "most damaging" score. However, the Final Exam cannot be dropped.
NOTES:
- You will be proving some theorems in this course. So, you must discuss proofs with your classmates and me if you are to do well.
- You will not be able to do every suggested problem. But to succeed, you must try a good number.
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Complex Function Graphers, Internet Sites
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Suggested Homework Problems [Subject to change]
Chapter I
- 2, p.2: 1,2,3,4,5,6.
- 3, p.4: 1,2,3.
- 4, p.5: 1,2,3,4,5,6,7.
- 5, p.7: 1.
- 6, p.10: 1,2,3,4,5.
Chapter II
- 1, p.13: 1-3, 5-11.
- 2, p.17: 1-5.
- 3, p.20: 1-5, 8.
- 4, p.24: 1-4.
- 5, p.28: 1-10.
- 6, p.29: 1.
Chapter III
- 1, p.33: (Optional: 3,4,5; limsup & liminf), 6, 7.
- 2, p.43: 1, 3(L'Hopital), 6, 9, 11, 12, 14, 15, 16, 17, 20.
- 3, p.54: 1, 3, 5, 6, 8, 9, 17, 18, 20.
Chapter IV
- 1, p.67: 1-3, 5-7, 11, 12, 14, 16, 18, 19, 22.
- 2, p.73: 1, 2, 3, 5, 6, 7, 9, 10.
- 3, p.80: 1, 3, 4, 6, 7, 8, 10.
- 4, p.83: 1-4.
- 5, p.87: 3, 5, 6, 7, 9.
- 6, p.95: 1, 4, 5, 6, 9, 10, 11.
- 7, p.99: 2, 3, 4, 5.
Chapter V
- 1, p.110: 1(as needed), 4, 6, 7, 8, 9, 11, 13, 14.
- 2, p.121: 1(some), 2(some), 3, 6, 7.
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Exam Outlines [Posted here as available]
Exam 1 (Ch. I-II)
- Possibilities [Subject to change]
Exam 1 Outline
Exam 2 (Ch. III-IV)
- Possibilities [Subject to change]
Exam 2 Outline
Final Exam (Ch. I-IV; Ch. V, Sections 1 & 2; with some omissions) - Possibilities [Subject to change]
Final Exam Outline
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