MATH 332 Course Syllabus

NJIT HONOR CODE:  All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor Code 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 Honor Code, students are obligated to report any such activities to the Instructor.

 

Math 332-001:  Introduction to Functions of a Complex Variable

FALL 2010

 

Instructor:  Prof. Michalopoulou

Textbook:  Complex Variables and Applications by James Brown and Ruel Churchill. Publisher: McGraw-Hill, 8th Edition; ISBN-10: 0073051942, ISBN-13: 978-0073051949.

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

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

Quizzes Based on Homework:

20%

Midterm Exam I:

25%

Midterm Exam II:

25%

Final Exam:

30%


Your final letter grade will be based on the following tentative curve. NOTE:  This course needs to be passed with a grade of C or better in order to proceed to Math 495.

A

90-100

C

65-75

B+

87-89

D

57-64

B

79-86

F

57

C+

76-78

 

 


 

Drop Date:  Please note that the University Drop Date November 1, 2010 deadline will be strictly enforced.

Quiz and Homework Policy:  A short quiz based on the homework problems will be given at the discretion of the Instructor. Quizzes are based on the homework problem sets assigned below.

Attendance:  Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.

Exams:  There will be two midterm exams during the semester and one comprehensive final exam during the final exam week at the end of the semester. Exams are held on the following days:

Midterm Exam 1:

October 8, 2010

Midterm Exam 2:

November 12, 2010

Final Exam Week:

December 10-16, 2010


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.

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 6, 2010

M

Labor Day Holiday ~ University Closed

November 1, 2010

M

Last Day to Withdraw from this course

November 25-28, 2010

R-Su

Thanksgiving Recess ~ University Closed

December 7, 2010

T

Classes follow a Thursday Schedule

December 8, 2010

W

Classes follow a Friday Schedule


 

Course Outline And Homework Assignments:

 

Week
Dates

Lecture, Chapter & Topic

Homework Assignments

 

Week 1
8/30 – 9/3

1-2

Ch. 1

Complex Numbers

p. 5: 1-4 & 8-10;
p. 8: 1-7;
p. 12: 1,2,4,5;
p. 14-15: 1,2,4,7, 9,10,13;

p. 22-23: 1,2,5,6,10;
p. 29-30: 1,2,3,4,6;
p. 33: 1-7
 

Week 2
9/6 – 9/10

└►

LABOR DAY ~ UNIVERSITY CLOSED

3

Ch. 1

Complex Numbers

p. 5: 1-4 & 8-10;
p. 8: 1-7;
p. 12: 1,2,4,5;
p. 14-15: 1,2,4,7, 9,10,13;

p. 22-23: 1,2,5,6,10;
p. 29-30: 1,2,3,4,6;
p. 33: 1-7
continued

Week 3
9/13 – 9/17

4-5

Ch. 2

 Analytic Functions

p. 37: 1,2,3,4;
p. 44: 1,2,3,5,6,7;
p. 55-56: 2,3,5,10;
p. 62-63: 1,3,4,8,9;

p. 71-73: 1,2,3,4,5,6;
p. 77: 1,2,4,7;
p. 81: 1,2,3;
p. 87: 1

Week 4
9/20 – 9/24

6-7

Ch. 2

 Analytic Functions

p. 37: 1,2,3,4;
p. 44: 1,2,3,5,6,7;
p. 55-56: 2, 3, 5,10;
p. 62-63: 1,3,4,8,9;

p. 71-73: 1,2,3,4,5,6;
p. 77: 1,2,4,7;
p. 81: 1,2,3;
p. 87: 1 continued

Week 5
9/27 – 10/1

8-9

Ch. 3

Elementary Functions

p. 92: 1,2,3,6,7,8,10;
p. 97: 1-5,7,9;
p. 100: 1-3;

p.104: 1,2,3,6;
p.108-109: 2,3,7,10,14;
p. 111-112: 2,4,7,11,16

Week 6
10/4 – 10/8

10

└►

REVIEW FOR EXAM #1

STUDY FOR EXAM #1

11

└►

MIDTERM EXAM I:  Friday ~ October 8, 2010

Week 7
10/11 – 10/15

12-13

Ch. 4

Integrals

p. 121: 1-5;
p. 125-126: 1,2;
p. 135-136: 1-6,9;
p. 140-141: 1-5;

p. 149: 1-5;
p. 162: 1-4,7;
p. 170: 1-5,77
 

Week 8
10/18 – 10/22

14-15

Ch. 4

Integrals

p. 121: 1-5;
p. 125-126: 1,2;
p. 135-136: 1-6,9;
p. 140-141: 1-5;

p. 149: 1-5;
p. 162: 1-4,7;
p. 170: 1-5,7
continued

Week 9
10/25 – 10/29

16-17

Ch. 5

Series

p. 188: 1,4;
p. 188: 1,2,3,5;
p.195-197: 1-13;

p. 207: 1-8;
p. 219-222: 1-5;
p. 225: 1,3,4

Week 10
11/1 – 11/5

└►

Last Day to Withdraw from this course

18-19

Ch. 5

Series

p. 188: 1,4;
p. 188: 1,2,3,5;
p. 195-197: 1-13;

p. 207: 1-8;
p. 219-222: 1-5;
p. 225: 1,3,4 continued

Week 11
11/8 – 11/12

20

└►

REVIEW FOR EXAM #2

STUDY FOR EXAM #2

21

└►

MIDTERM EXAM II:  Friday ~ November 12, 2010

Week 12
11/15 – 11/19

22-23

Ch. 6

Residues and Poles

p. 239-240: 1-5;
p. 243: 1-3;

p. 248-249: 1-6;
p. 255-257: 1-4,6

Week 13
11/22 – 11/24

24

Ch. 6

Residues and Poles

p. 239-240: 1-5;
p. 243: 1-3;

p. 248-249: 1-6;
p. 255-257: 1-4,6 continued

11/25 – 11/28

└►

[Thurs-Sun: Nov. 25-28] Thanksgiving Recess ~ University Closed

Week 14
11/29 – 12/3

25-26

Ch. 7

Applications of Residues

p. 267: 1-4,6,7,8;
p. 275-277: 1,2,5,9,11;

p. 286-288: 1,2,4,6;
p. 290-291: 1,2,6

Week 15
12/6 – 12/8

27

Ch. 7

Applications of Residues

p. 267: 1-4,6,7,8;
p. 275-277: 1,2,5,9,11;

p. 286-288: 1,2,4,6;
p. 290-291: 1,2,6 continued

28

└►

REVIEW FOR FINAL EXAM

STUDY FOR FINAL EXAM

└►

[TUE & Wed: DEC. 7-8] Classes follow a THURSDAY and FRIDAY Schedule

 

Finals

Final EXAM WEEK:  December 10-16, 2010

 

Prepared By:  Prof. Eliza Michalopoulou

Last revised:  June 4, 2010

TOP     Print-friendly page