MAT 342 APPLIED COMPLEX ANALYSIS
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Course Description
MAT 342 is basically about learning the calculus of functions of one complex variable. We shall also aim to undertand some of the fundamental properties of holomorphic functions including analyticity and Cauchy's integral formula. We'll also study singularities of such functions leading to the calculus of residues. This leads to applications such as evaluation of improper integrals. We'll also cover conformal and harmonic maps. We'll touch upon as many applications and related concepts as time permits.
IMPORTANT : There will be an in-class MID-TERM (AUGUST 3 - TUESDAY) and FINAL (AUGUST 19 - THURSDAY). A list of practice problems will be put up. We'll keep adding problems to the list as we go along. There will be NO MAKE-UP for missed homework or quizzes or the exams. It is your responsibility to arrange your schedule to be able to take the exams at the scheduled time. Rare exceptions can be made if it is matter completely beyond your control (like a medical emergency) but proper documentation must be provided. Books, notes etc. are not allowed during exams. If you need to bring a backpack etc. to an exam, you must place it, all pockets and flaps closed in plain sight of the proctor(s).
Textbook
The required textbook is Complex Variables and Applications by Brown and Churchill, 8th edition.
Course Material
A (rough) schedule (following the 8th edition of the book) is given, detailing the sections to be covered in each lecture. You are encouraged to have a look at the corresponding sections before coming to class. Most of the material in first five chapters of the text book will be covered in this course.
Class Details
TuTh 1:30 pm - 4:55 pm
Lecture Hall Harriman 112
Homework & Quizzes
Homework problems will be assigned on Tuesdays and will be due the next Tuesday unless mentioned otherwise. You are required to do all the assigned problems. Solutions should be written neatly and clearly and homeworks should be properly stapled, NO EXCEPTIONS. Selected problems will be graded. It is also recommended that you work additional problems to increase your understanding. If you do not understand how to solve a certain problem, get help from your instructor, your classmates, or from tutors in the Math Learning Center. You are encouraged to study and discuss homework problems with others from the class, but please write your solutions yourself. NO LATE HOMEWORKS WILL BE ACCEPTED.
There will be in-class quizzes each week and it will count towards your final grade.
Grading
The final grade for this class will be computed as the higher of the two grades :
Quizzes 10% Weekly quizzes
Homework 20% Due each subsequent Tuesday
Mid term exam 30% August 3, 2:45 pm - 4:45 pm
Final exam 40% August 19, 1:30 pm - 4:00 pm
OR
Final exam 100% August 19, 1:30 pm - 4:00 pm
Office Hours
Tu, Th 5-6pm @ 3-108
Tu, Th 11:30-12:30pm @ MLC
Extra Help
The Math Learning Center is located in Room S-240A in the Mathematics Building, Floor S. MLC hours are Monday through Thursday 10-6. It is staffed by experienced mathematics tutors, including professors, graduate students, and advanced undergraduate students. Students may drop in, without an appointment. Your recitation instructor will hold at least one office hour per week at the Math Learning Center. Check out the Math Learning Center website for more information.
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Students with Disabilities
If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site: http://www.sunysb.edu/ehs/fire/disabilities.shtml