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Time/Place:
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Section 001: MW 11:50-12:40 NS 203
Section 002: TH 12:55-13:45 WBB 617 |
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Instructor:
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Pejman Mahboubi
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Office Hours:
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10:30-11:30, MW, or by appointment
I will not answer to your math questions via emails
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Problem Solving:
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5-6pm T LCB 215 |
Office: JWB 118,
Email: pejman(at)math(dot)utah(dot)edu
The course description:
We will try to cover the following topics: Analytic functions, complex integration, Cauchy integral theorem,
Taylor and Laurent series, residues and contour integrals, conformal mappings with applications to electrostatics, heat, and fluid flow.
Texts: lecture notes
Complex Variables and Applications, eighth edition, by J.W. Brown and R.V. Churchill. The current ISBN is 9780073051949.
The course covers chapters 1-10
Homeworks:
A weekly homework assignment will be listed below
Quizzes:
There will be a weekly quiz which you take online.
Exams, Grading Policy:
There will be two midterms in class each worth 20% of the total grade.There will be one final worth 40% of the total grade.
Homeworks and online quizzes each account for 10%20%. The dates for the midterms and the final are
Midterm 1 (in class).
Section 001: Monday, February 4, 2013
Section 002: Tuesday, February 5, 2013 |
Midterm 2 (in class).
Section 001: Wednesday, March 20, 2013
Section 002: Thursday, March 21, 2013 |
Final (in class).
Section 001: Thursday, May 2, 2013,
10:30 am – 12:30 pm
Section 002: Thursday, May 2, 2013,
1:00 – 3:00 pm |
Make up exams will
NOT be given unless there is sufficient reason. If an emergency arises, I will require sufficient proof.
If there is any other reason for which you might not be able to make it to the exam, please talk to me at least 2 weeks in advance.
The following grades are guaranteed: 90+ for A, 75+ for B, 65+ for C, 55+ for D. The cutoffs might decrease by the end of the semester but they will not increase.
Week15:
Notes:
Conformal Mapping page **-**
Homework:
Problems:141-150 due on Wednesday April 24, in class.
Week14:
Notes:
Applications of Residues, Conformal mapping page **-**
Homework:
Problems:131-140 due on Wednesday April 17, in class.
Week13:
Notes:
Residues and Poles, Applications of Residues page 65-69
Homework:
Problems:122-130 due on Wednesday April 10, in class.
Week12:
Notes:
Laurent series, Residues and Poles Lecture notes: 57-64
Homework:
Problems:113-121 due on Wednesday April 3, in class.
Week11:
Notes:
Taylor series page 53-56
Homework:
Problems:102-112 due on Wednesday March 27, in class.
Week10:
Homework:
Notes: Spring Break
Week9:
Notes: Cauchy Integral Formula, and Maximum Modulus Principle
Homework:
Problems:91-100 due on Wednesday March 20, in class.
Week8:
Notes:
Cauchy's Theorems page 42-49
Homework:
Problems:83-90 due on Wednesday March 6, in class.
Week7:
Notes:
Contour Integrals and Path independence page 36-41
Homework:
Problems:66-79 due on Wednesday Feb 27, in class.
Week6:
Notes:
Logarithm and Complex exponents page 26-35
Homework:
Problems:52-63 due on Wednesday Feb 20, in class.
Week5:
Notes:
Derivatives page 21-25
Homework:
Problems:42-51 due on Wednesday Feb 13, in class.
Week4:
Notes:
Limits and Continuity page 15-21
Homework:
Problems:31-41 due on Wednesday Feb 6, in class.
Quiz to be annouced
Week3:
Notes:
Maps,... page 9-14
Homework:
Problems:21-30 due on Wednesday Jan 30, in class.
Quiz to be annouced
Week2:
Notes:
Polar forms,... page 5-8
Homework:
Problems:11-20 due on Wednesday Jan 23, in class.
No Quiz this week
Week1:
Notes:
Complex numbers,...
Homework:
Problems: 1-10 due on Monday Jan 14, via email.
No Quiz this week