MAT 421 Complex
Analysis, # 21174, Spring 2016
Class meets MW 11:30 AM - 12:45
PM in SCC 1300.
Instructor:
Office: NSM E-108, office phone number: (310) 243-3139,
e-mail
address: sraianu@csudh.edu,
, URL: http://math.csudh.edu/~sraianu;
Office hours: Monday: 12:55 PM – 2:15
PM, Wednesday:
Course Description: This course covers the algebra
and geometry of the complex numbers; point sets, sequences and mappings;
analytic functions; elementary functions; differentiation; integration; power
series; the calculus of residues; and applications.
Text: Complex Analysis, by
Objectives: After completing MAT 421 the student will
Prerequisites: MAT 211 and MAT 271 or equivalent with a grade of
"C" or better.
Grades: Grades will be based on three in‑class
full‑period examinations (60% total), a comprehensive final examination
(25%), and quizzes, homework, and other assignments (15%) for the remainder.
The exact grading system for your section is the following: each of the three
full-period exams will be graded on a 100 scale, then the sum of the
scores is divided by 5 and denoted by E. Homework will be collected every
Monday, and each homework is worth 5 points. No late homework will be accepted.
The average of all homework scores is denoted by H.
5
to 10 minutes quizzes will be given in principle every Monday, with the
exception of the review and exam days, and will be graded on a scale from 1 to
5. The average of the quizzes scores is denoted by Q. There are also 5 points
awarded for attendance and class participation, this portion of the grade is
denoted by A. The final exam will be graded out of a maximum possible 200, then the score is divided by 8 and denoted by F.
To
determine your final grade
compute E+H+Q+A+F. The maximum is 100, and the grade will be
given by the rule:
A: 93‑100; A‑: 90‑92; B+: 87‑89; B: 83‑86; B‑: 80‑82
C+: 77‑79; C: 73‑76; C‑: 70‑72; D: 60‑69; F: Less than 60.
Makeups: No makeup examinations or
quizzes will be given. If you must miss an examination for a legitimate reason,
let me know in advance, and I may then substitute the relevant score from your final
examination for the missing grade.
Accomodations for
Students with Disabilities: Cal
State Dominguez Hills adheres to all applicable federal, state, and local laws,
regulations, and guidelines with respect to providing reasonable accommodations
for students with temporary and permanent disabilities. If you have a
disability that may adversely affect your work in this class, I encourage you
to register with Disabled Student Services (DSS) and to talk with me about how
I can best help you. All disclosures of disabilities will be kept strictly
confidential. Please note: no accommodation may be made until you register with
the DSS in WH D180. For information call (310) 243-3660 or to use
telecommunications Device for the Deaf, call (310) 243-2028.
Academic Integrity: The mathematics department does not tolerate cheating.
Students who have questions or concerns about academic integrity should ask
their professors or the counselors in the Student Development Office, or refer
to the University Catalog for more information. (Look in the index under
"academic integrity".)
Tentative
schedule:
M 1/25:
1.1 Complex numbers. Introduction; 1.2 Geometry
W 1/27: 1.3 Polar coordinates; 2.1 Functions
of a real variable
M 2/1: 2.2 Functions of a complex
variable; 2.3 Derivatives
W 2/3:
3.1 Elementary functions. Introduction; 3.2 The
exponential function
M 2/8:
3.2 The exponential function; 3.3 Trigonometric
functions
W/2/10:
3.4 Logarithms and complex exponents
M 2/15:
Presidents’ Day Holiday
W 2/17:
Review
M 2/22: Exam I
W 2/24: 4.1 Integration. Introduction; 4.2 Evaluating integrals
M 2/29:
4.2 Evaluating integrals; 4.3 Antiderivatives
W 3/2:
5.1 Homotopy; 5.2 Cauchy’s Theorem
M 3/7: 5.2 Cauchy’s Theorem; 6.1
Cauchy’s Integral Formula
W 3/9: 6.2 Functions defined by
integrals; 6.3 Liouville’s Theorem
M 3/14:
6.3 Liouville’s Theorem; 6.4
Maximum moduli
W 3/16:
7.1 The Laplace equation; 7.2 Harmonic functions
M 3/21: 7.2
Harmonic functions; 7.3 Poisson’s integral formula
W 3/23: Review
M 3/28:
Spring Recess
W 3/30: Spring Recess
M 4/4: Exam II
W 4/6: 8.1
Sequences
M 4/11:
8.2 Series
W 4/13: 8.3
Power series
M 4/18: 8.4
Integration of power series; 8.5 Differentiation
of power series
W 4/20: 8.5 Differentiation of power series; 9.1
M 4/25: 9.2 Laurent series
W 4/27: 10.1 Residues; 10.2 Poles and
other singularities
M 5/2: 11.2 Argument principle; 11.2
Rouché’s Theorem
W 5/4: Review
M 5/9: Exam III
W 5/11: Review
Final exam:
Wednesday, May 18,
Important dates
|
January 23-February 11 |
Saturday-Thursday |
Late Registration Add/Drop (fees due 48 hours after registration) |
|
February 1 |
Monday |
Summer 2016 Graduation Application Deadline |
|
February 5 |
Friday |
Instructor Drop Deadline |
|
February 11 |
Thursday |
Credit/No Credit and Audit Grading Deadline |
|
February 11 |
Thursday |
Last Day to Drop from FT to PT
Status with Refund |
|
February 15 |
Monday |
President’s Day Holiday- Campus Open, No
Classes |
|
February 19 |
Friday |
Drop without Record of Enrollment
Deadline |
|
February 19 |
Friday |
Student Census |
|
February 20-April 21 |
Saturday- Thursday |
Serious and Compelling Reason
Required to Drop/Withdraw |
|
March 14-May 22 |
Monday-Sunday |
Spring 2016 Intersession Registration |
|
March 28-April 3 |
Monday- Sunday |
Spring Recess (includes Cesar
Chavez Holiday) |
|
March 30 |
Wednesday |
Last Day for Pro-rata Refund of
Non-Resident Tuition and Tuition Fees |
|
March 31 |
Thursday |
Cesar Chavez Holiday-Campus
Closed, No Classes |
|
April 15 |
Friday |
Summer 2016 Graduation Application-Late
Deadline (with late fee) |
|
April 22-May 12 |
Friday-Thursday |
Serious Accident/Illness
Required to Drop/Withdraw |
|
April 25-August 19 |
Monday-Friday |
Fall 2016 Registration |
|
May 13 |
Friday |
Last Day of Scheduled Classes |
|
May 14 |
Saturday |
Study Day |
|
May 14-May 20 |
Saturday-Friday |
Final Examinations |
|
May 17 |
Tuesday |
Grade Submission
Begins |
|
May 20 |
Friday |
Evaluation Day |
|
May 20 |
Friday |
Commencement |
|
May 21 |
Saturday |
Commencement |
|
May 25 3 pm |
Wednesday |
Final Grades Due- *Extended Education grades always due 72
hours after course end date |
|
May 25 |
Wednesday |
Semester/Academic Year Ends |