MATH 756 Course Syllabus - fall 2013

NJIT Academic Integrity CODE:  All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly.  This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams.  Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.

 

Math 756:  Complex Variables II

 

Instructor:  Prof. Matveev

Textbook:  Complex Variables: Introduction and Applications, by Mark J Ablowitz and Athanassios S Fokas. Cambridge University Press, Second Edition (2003); ISBN: 978-0-521-53429-1.

Course Description:  Selected topics from: Brief review of Math 656; conformal mapping, Riemann mapping theorem and applications; Schwarz reflection principle; Schwarz-Christoffel theorem and applications; singularities; applications of calculus of residues; integral transform techniques; principle of the argument and Rouche's theorem; Caserati-Weierstrass theorem; Laplace's equation; free boundary problems.

Grading Policy:  The final grade in this course will be determined as follows: 

Homework:

20%

Midterm:

35%

Final Exam:

45%


 

Drop Date:  Please note that the University Drop Date November 4, 2013 deadline will be strictly enforced.

Attendance Policy:  Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.

Makeup Exam Policy:  There will be No make-up EXAMS during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.

Further Assistance:  For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.

Cellular Phones:  All cellular phones and beepers must be switched off during all class times.


 

MATH DEPARTMENT CLASS POLICIES LINK 

All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.

September 2, 2013

M

Labor Day ~ No classes

November 4, 2013

M

Last Day to Withdraw from this course

November 26, 2013

T

Classes follow a Thursday Schedule

November 27, 2013

W

Classes follow a Friday Schedule

November 28-Dec 1, 2013

R-Su

Thanksgiving Recess

December 12, 2013

R

Reading Day

December  13-19, 2013

F- R

Final Exams


 

Course Topics:

 

Weeks

Course Topics

  

Week 1

Week 6

Week 11

▪  Review of Math 656 and extensions

▪  New applications of the residue theorem

▪  Integral transform methods

▪  Introduction to conformal mapping

▪  Applications of conformal mapping

▪  The Schwarz reflection principle

▪  Schwarz-Christoffel theory and applications

▪  Analytic continuation

▪  Conformal mapping and free boundary problems

Week 2

Week 7

Week 12

Week 3

Week 8

Week 13

Week 4

Week 9

Week 14

Week 5

Week 10

Week 15

  

Final EXAM WEEK:  December 13-19, 2013

   

 

 

Prepared By:  Prof. Victor Matveev

Last revised:  July 10, 2013

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