Introduction to Complex Variables: Math 165B
Spring 2003, MWF 3:10--4:00 in Olmsted Hall 1133
Announcements
- The final exam has been graded, and grades posted on http://www.ilearn.ucr.edu. You are welcome to drop by my office and pick up your exam. Have a good break!
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Syllabus (in .pdf format)
Homework
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Homework 9, due June 5.
- Read sections 84-92.
- Section 87:1, 4, 10.
- Section 89: 4, 5.
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Homework 8, due May 29.
- Read sections 79-86.
- Section 80: 1, 4, 6.
- Section 83: 1, 3, 4, 5.
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Homework 7, due May 22.
- Read sections 72-76.
- Section 74: 1, 3, 5, 7, 10.
- Section 76: 3, 4, 8, 9.
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Homework 6, due May 15.
- Read sections 68-74.
- Section 69: 2, 9, 10, 17, 18.
- Section 72: 1, 5, 6, 9, 16.
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Homework 5, not to be turned in.
- Read sections 62-64.
- Section 62: 1, 3, 7.
- Section 64: 1, 6, 7.
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The midterm was on Monday, May 5th. It covered sections 43-51, 53-57, 59-64 of the textbook.
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Homework 4, due May 1.
- Read sections 56, 57, 59-62.
- Section 57: 1, 2, 7, 8, 13.
- Section 60: 2, 6, 9. Do not do problem 11.
- Section 61: 2, 4, 13.
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Homework 3, due April 24.
- Read sections 51, 53-56.
- Section 51: 10, 11b, 14.
- Section 55: 1abc, 2bc, 3a, 4acd, 5b, 6.
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Homework 2, due April 17.
- Read sections 46-51.
- Section 47: 1, 2, 4, 5.
- Section 51: 1, 4, 5, 7.
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Homework 1, due April 10.
- Read sections 43-47.
- Section 43: 3, 4, 7.
- Section 45: 1, 4, 5.
Syllabus
Professor: Michael Anshelevich, 250 Surge Building.
Office hours: W 2--2:50, F 4--5,.
The office hours for my other class are M 4--5. You are welcome to come by then, but the students from the other class have priority.
TA: Chanwoo Pae, discussion section R 8:10--9:00.
Text: James Ward Brown, Rule V. Churchill, ``Complex Variables and Applications,'' 6th edition, McGraw-Hill, 1996.
Prerequisites: Math 165A or equivalent. That is, the students should be familiar with the notion of complex numbers, elementary functions of a complex variable, basics of analytic functions, and the Cauchy integral formula. In calculus, students should have seen some theory of infinite series.
Topics:
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Infinite series: Taylor and Laurent series, manipulations of power series.
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Residues and poles.
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Applications of residues to the calculation of (real) integrals.
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Geometric properties of mappings by elementary complex functions.
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Conformal mappings, and their applications.
Exams: We will have an in-class midterm on May 5th. The final exam is on Thursday, June 12, 11:30 am - 2:30 pm. No make-up exams will be given. If, under completely exceptional circumstances, you need to miss the midterm, the weight of the final will be adjusted accordingly. If you miss the final, you automatically fail the course. The exams are closed book, closed notes, and calculators are not permitted.
Homework: weekly, due Thursdays in section. No late homework will be accepted; the lowest score will be dropped. You are encouraged to work together, but you must each turn in your own work.
Quizzes: in section, about every other week.
Grading: Section (homework, quizzes, participation) 25%, midterm 30%, final 45%.
Other important dates: April 18 (last day to add or drop a course), May 9 (last day to withdraw from a course).
Students with disabilities: Please come talk to me no later than the first week of classes.
Keys to success: Solve all the homework problems, well before the exams. Spend more than seven hours per week doing so. Form study groups to discuss the course material and homework problems. Read ahead in the text.