Instructor: Hsiang-Ping Huang, JWB 103
Office Hours: TH 1:30-3:00 and by appointments.
email: hphuang@math.utah.edu
Lecture
Time. TH 12:25-1:15
Room. NS 203
Course Information
Website: http://www.math.utah.edu/~hphuang/teaching/3160/
Textbook: Complex Variables and Applications, 8th Edition,
ISBN 978-0-07-305194-9
Subject: MATH.
Catalogue Number: 3160.
Class Index Number: 1203.
Description:
We will go over the basics of complex numbers very quickly, and then
cover the following topics, as many of them as the time allows:
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.
The pace will be brisk and students are expected to work hard outside the
classroom.
Prerequisite:
"C" or better in MATH 2250 OR (MATH 2270 AND MATH 2280) To get the
permission code, please visit Mathematics Class
Permission Code Request Form
Homework and Online Quizzes
Either homework or an online quiz will be assigned weekly, and due the following
Tuesday (or Thursday for holidays), subject to change.
Student Solution Manual can be purchased. ISBN 978-0-07-333730-2.
UMail: Students are required to check their UMail accounts for
important information regarding this class.
For assistance regarding UMail, please call 581.4000.
Exams
Location: NS 203, the lecture room, unless otherwise announced.
First Midterm: Sep 13, 12:25-1:15
Solutions to Midterm I (cover page)
Solutions to Midterm I
Second Midterm: Oct 18, 12:25-1:15
Solutions to Midterm II
3rd Midterm: Nov 20, 12:25-1:15
Solutions to Midterm III
Final Exam: Dec 11, 10:30- 12:30.
Final Exam
Solutions to Final Exam
Note: All exams are cumulative.
Only pencils are allowed during the exams.
No calculators, computers, books, notes etc.
Important! Please make sure that you can attend all exams.
No makeup exam is possible without a documented exceptional reason.
In all cases, it must be authorized by the instructor prior to the exam.
Grading Policy
Grades are based on the following scheme: 10% for homework and
online quizzes,
20% for each midterm exam, and 30% for the final exam.
Additional Resources: The Math Center offers free tutoring, a computer lab, and study areas for undergraduates. Math Center is adjacent to the LCB and JWB. For information on the hours of the lab or tutoring center, please check on the website: http://www.math.utah.edu/ugrad/mathcenter.html. The univeristy provides low cost Private Tutoring at University Tutoring Services at 330 SSB. There is also a list of tutors at the Math Department office, JWB 233
How to do well in this class? The answer is straightforward and old-fashioned: Prepare for Class, Keep Up, and Do the Homework Problems. The exams will contain at least 80% from material covered in lecturs and homework problems, with little modification. A sure way to get a good grade is to study for the class, and do the assignments as if you are taking the tests, without the help of the book, notes and computers. It also helps a great deal to ask questions during and after the lectures, especially after you have already previewed the material.
Instructor's comments: The goal of this class is to have students learn the material well and then to give them fair and accurate grades. To achieve this goal, the instructor belives in serious homework problems and hard exams. Serious problems make students learn more and better. Hard exams give a better evaluation of students' learning. In other words, if you are taking this class just to get a passing grade and with no intention to learn, consider taking another class.
Schedule (tentative as of Aug 21)
Week (beginning on Monday): Sections in text
Aug 20: 1.1-1.5, 1.6-1.8
Aug 27: 1.9-1.11, 2.12-2.14
Sep 3: 2.15-2.16 2.18, 2.19-2.20
Sep 10: 2.21-2.22, First Midterm
Sep 17: 2.24-2.26, 3.29-3.30
Sep 24: 3.31-3.33, 3.34-3.36,
Oct 1: 4.37-4.41, 4.43
Oct 8: Fall Break
Oct 15: 4.46(use Green's Thm) Second Midterm
Review of Vector Calculus
Oct 22: 4.48-4.49, 4.50-4.51
Oct 29: 4.52-4.53, 5.55-5.56
Nov 5: 5.57-5.59, 5.60-5.62
Nov 12: 5.63-5.67, 6.68-6.70
Nov 19: Third Midterm, Thanksgiving
Nov 26: 6.72-6.74, 6.75-6.76
Dec 3: 7.78-7.79, 7.80-7.81
Dec 11: Final Exam
Homework:
Aug 28--
P5: 1, 4. P8: 1, 4. P12: 4, 6. P15: 7, 9, 14.
Sep 4-- P22: 1, 2. P29: 1, 2. P30: 3, 4, 6.
P33: 1, 4. P37: 1, 2, 3, 4. P44: 7.
Sep 11--P55: 1(c), 3, 5. P62: 1, 2. P63: 8, 9.
Sep 20--P71: 1, 3, 5. P77: 2, 4, 5, 7.
Sep 25--P81: 1 (a)(d), 2. P82: 3, 4, 7. P.92: 1, 6, 13.
Oct 2-- P97: 1, 3, 4, 9. P100: 1, 2. P108: 2, 3, 8. P109: 10, 12,
14. P114: 2. P115: 3.
Oct 16-- P121: 2, 3, 4. P126: 6. P135: 1, 2, 3, 4. Review Green's
Theorem.
Oct 23-- P140: 1, 2, 3. P141: 4.
Oct 30-- P149: 1, 2. P160: 1 (a)(b)(c)(f). P161: 2. P163: 7.
[Sec 49: 5, 6. Important but do not turn in. Those are proof type
questions.]
Nov 8-- P170: 1 (a)(b)(c), 2. P171: 3, 4, 5, 6. P178: 1. P188: 2,
3, 9.
[P179: 2, 3. Important but do not turn it. Those are proof type
questions.]
Nov 13-- P196: 2, 3, 6, 7. P197: 11, 13. P205: 1, 2. P206: 4, 5, 7.
Dec 4-- P239: 1 (a) (b) (c), 2. P243: 1, 2. P248: 1, 3, 4. P255: 4
(a). P256: 6. [P255: 5. Important. Will revisit in
the week starting on Dec 3. You are encouraged to prepare in advance.]
Dec 11-- P 267, 1, 2, 3, 6, 8. Do NOT turn in.