MATH 332h Course Syllabus - SPRING 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 332H:  Introduction to Functions of a Complex Variable-Honors

 

 

Instructor:  Prof. Bose 

Course Description:  Functions of a complex variable: Cauchy-Riemann equations, Cauchy-Goursat theorem, integration, series, residues, poles, geometrical aspects. Emphasis on techniques

Textbook:  Complex Variables and Applications, J. Brown and R. Churchill,  ISBN-10: 0079121470, ISBN-13:978-0079121479

Prerequisites:  Math 211 or Math 213 and Math 222 all with a grade of C or better.

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

Homework:

35%

Midterm Exam:

30%

Final Exam:

35%


NOTE:  This course needs to be passed with a grade of C or better in order to proceed to Math 495.

 


Drop Date:
 Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.

Homework Policy:  Homework problem sets will be assigned after each class based on the material covered, and will be due the following class. Late homework will not be accepted.

Quiz Policy:  A short quiz based on the homework problems will be given once each week.

Attendance:  Attendance at all classes will be recorded and is mandatory. Attendance record will determine 5% of the final grade, as specified in the grading policy above. More than 4 absences without a documented reason will result in the complete loss of this designated 4% component of the final grade.

Exams:  There will be one midterm exam during the semester and one comprehensive final exam during the final exam week at the end of the semester. The final exam will test your knowledge of all the course material taught in the entire course. Make sure you read and fully understand the department's Examination Policy. This policy will be strictly enforced. Please note that calculators, cellular phones, beepers, and all other electronic devices may not be used nor turned on during any exam or quiz.

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.

January 21, 2013

M

Dr. Martin Luther King, Jr. Day ~ University Closed

March 17-24, 2013

Su-Su

Spring Recess ~ No Classes Scheduled ~ University Open

March 26, 2013

T

Last Day to Withdraw from this course

March 29, 2013

F

Good Friday ~ University Closed

May 7, 2013

T

Classes follow a Friday Schedule, Last Day of Classes

May 8, 2013

W

Reading Day

May 9-15, 2013

T-W

Final Exams


 

Course Outline and Homework Assignments:

 

Lecture

 Sections

Topics

1

1-5

Complex Numbers

2

6-10

Complex Numbers

3

11-15

Analytic functions

4

16-20

Analytic functions

5

21-25

Analytic and elementary functions

6

26-28, 30-31

Elementary functions, Integrals

7

32-36

Integrals

8

37-40

Integrals

9

41-42

Integrals,

Midterm

10

43-47

Series

11

348-52

Series

12

53-56

Residues and poles

13

57-61

Residues and poles, Applications

14

62-67

Applications of residues

15

68-72 

 Transformations

Finals

Final EXAM WEEK: May  9-15, 2013

 

Prepared By:  Prof. Amitabha Bose

Last revised:  January 4, 2013

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