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 332-H02: Honors Introduction to Functions of a Complex Variable
Textbook: Fundamentals of Complex Analysis, by E.B. Saff and A.D. Snider, 3rd Edition, Pearson Education, 2003, ISBN: 0-13-907874-6.
Prerequisites: Grade of "B" or better in Math 222H or grade of "A" in Math 222.
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework & Quizzes: |
40% |
▪ Midterm Exam: |
25% |
▪ 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 20, 2012 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.
M |
Dr. Martin Luther King, Jr. Day ~ University Closed |
|
Su-Su |
Spring Recess ~ No Classes Scheduled ~ University Open |
|
T |
Last Day to Withdraw from this course |
|
F |
Good Friday ~ University Closed |
|
T |
Classes follow a Friday Schedule, Last Day of Classes |
|
W |
Reading Day |
|
R-W |
Final Exams |
Course Outline and Homework Assignments:
Lecture |
Sections |
Topics |
Assignments |
1 |
1.1-1.2 |
Algebra of Complex
Numbers; Point/Vector Representation |
pp. 4, 12 |
2 |
1.3-1.4 |
Polar Representation;
Complex Exponential |
pp. 22, 31 |
3 |
1.5 |
Powers and Roots |
p. 37 |
4 |
1.6-1.7 |
Planar Sets;
Stereographic Projection |
pp. 43, 50 |
5 |
2.1-2.2 |
Functions of Complex
Variable; Limits and Continuity |
pp. 56, 63 |
6 |
2.3-2.4 |
Analyticity; The
Cauchy-Riemann Equations |
pp. 70, 77 |
7 |
2.5-2.6 |
Harmonic Functions;
Steady-State Temperature |
p. 84 |
8 |
3.1-3.2 |
Polynomials and Rational
Functions; Exponential Function |
p. 108 |
9 |
3.2-3.3 |
Trigonometric and
Hyperbolic Functions; Logarithm |
pp. 115, 123 |
10 |
3.4 |
Washers Wedges Walls |
p. 129 |
11 |
3.5 |
Complex Powers; Inverse
Trig |
p. 136 |
12 |
4.1-4.2 |
Contours and Contour
Integrals |
pp. 159, 170 |
13 |
4.3-4.4 |
Independence of Path and
Cauchy’s Integral Theorem |
pp. 178, 199 |
14 |
4.5 |
Cauchy’s Integral Formula
and its Consequences |
p. 212 |
15 |
└► |
REVIEW FOR Midterm Exam |
|
16 |
└► |
MIDTERM Examination |
|
└► |
SPRING RECESS: MARCH 11-18, 2012 |
||
17 |
4.6 |
Bounds for Analytic
Functions |
p. 219 |
18 |
5.1-5.2 |
Sequences and Series;
Taylor Series |
pp. 239, 249 |
└► |
(Mon. March 28) Last Day to
Withdraw from this course |
||
19 |
5.3 |
Power Series |
p. 258 |
20 |
5.5 |
Laurent Series |
p. 276 |
21 |
5.6-5.7 |
Zeros and Singularities;
The Point at Infinity |
pp. 285, 290 |
22 |
6.1 |
Residue Theorem |
p. 313 |
23 |
6.2 |
Trigonometric Integrals
over [0, 2π] |
p. 317 |
24 |
6.3 |
Improper Integrals over
(-∞ ; ∞) |
p. 325 |
25 |
6.4 |
Improper Integrals
involving Trigonometric Functions |
p. 336 |
26 |
6.5 |
Indented Contours |
p. 344 |
└► |
GOOD FRIDAY ~ UNIVERSITY CLOSED |
||
27 |
6.6 |
Integrals Involving
Multiple-Valued Functions |
p. 354 |
28 |
└► |
REVIEW FOR FINAL EXAM |
STUDY FOR FINAL EXAM |
└► |
READING DAY (5/2)
|
|
|
Finals |
Final EXAM
WEEK: May 3-9, 2012 |
Prepared By: Prof. John Bechtold
Last revised: December 7, 2011