MATH 4230A/6230A:COMPLEX ANALYSIS, SPRING 2017

Section AMW 5:00--6:15(Goodwyn 222),   Course ID (CRN #):  2557/2558

 

INSTRUCTOR

Yi Wang, Ph.D., Professor
Auburn University Montgomery

Department of Mathematics and Computer Science

School of Sciences

Room 213C, Goodwyn Hall

Email:  ywang2@aum.edu

Homepage: http://sciences-srv.aum.edu/~ywang

Phone: 334.244.3318

Office Hours: MW:2:50--4:50, or by appointment.

           

PREREQUISITES: Prerequisite MATH 2630.

 

TEXT: E.B. Saff, A.D. Snider. Fundamentals of Complex Analysis with Applications to Engineering and Science. 3rd ed., 2003. Prentice Hall.

CALCULATORS:  Essentially you only need a basic calculator that is capable of performing  arithmetic and exponent calculation. A graphing calculator such as  the TI-84 (TI-83) is acceptable.  However, calculators with CAS capability such as TI-89 or higher or similar (Typically with a QUERTY keyboard) are prohibited in all exams.  Please bring the calculator to all class meetings and exams. You may use the calculator for each test, but you will be required to show all work for the tests and if you rely on the calculator for solutions, you will get zero credit. You are here to learn mathematics rather to demonstrate your using a  calculator and a calculator will be used only as an aid.

 

COURSE DESCRIPTION: Complex numbers, limits, differentiation, analytic functions, integration, conformal mappings and applications.
COURSE OBJECTIVES:

1.  able to perform calculations using complex numbers.

2. able to find the limits and derivatives of a complex valued function.

3. able to identify analytic functions and properties

4. able to find the integral of a complex valued function.

5. able to identify a conformal mapping

6. able to apply conformal mapping in applications.

 

 This course will use Blackboard http://bb9.aum.edu. Syllabus, Class announcements, homework assignments, weekly schedule and updated grades will be posted on Blackboard. On-line quizzes within BlackBoard may be offered.  

 

HOMEWORK/QUIZZES/WORKSHEETS:  It is imperative that you do the homework. If you have trouble with the assigned problems (or any others in your book) then see me ASAP. Please work as many problems as you can (even beyond the assigned list if possible). The bottom line is that if you want to learn some mathematics, the only way to do this is by “getting your hands dirty” working problems.  The collected Homework/Quizzes/worksheets will be averaged for part of your final grade. Sometimes in-class Quiz may be given without notice in advance.

 

EXAMS: There will be five  tests and one final exam.

 

GRADES: There will be five tests and one final exam.  Each of them has the same weight.
          
          

 

          For Math4230A students, if you do not miss more than five classes and get the following percentage you will receive

                                                        >=85…….................…A

                                                        >=75 and <85………..B

                                                        >=65 and <75………..C

                                                        >=55 and <65………..D

                                                       <55.................................F                   

    For Math6230A students, if you do not miss more than five classes and get the following percentage you will receive

                                                        >=90…….................…A

                                                        >=80 and <90………..B

                                                        >=70 and <80………..C

                                                        >=60 and <70………..D

                                                       <60.................................F                 

     

A student who misses more than FIVE classes that are Unexcused  are automatically assigned a `FA'. No excuses are taken.

Grades in the course will reflect students’ demonstrated attainment of course objectives. I reserve the right to adjust these ranges downward or make appropriate scaling if necessary due to excessive difficulty of assignments or tests. Borderline cases  will be considered according to the attendance, grades of all  tests by the sole discretion of the instructor.   

 

STUDYING RESOURCES:

  • There are 28 class meetings (each of 75 minutes) .

  • Free Academic Support: All students have the opportunity to receive free academic support at AUM. Visit the Learning Center (LC) in the WASC on second floor Library o the Instructional Support Lab (ISL) in 203 Goodwyn Hall. The LC.ISL offers writing consulting as well as tutoring in almost every class through graduate school. The LC may be reached at 244-3470 (call or walk-in for a session), and the ISL may be reached at 244-3265. ISL tutoring is first-come-first served. Current operating hours can be found at www.aum.edu/learningcenter.
  • Students may seek technology assistance from the ITS Help Desk located in the computer lab on the first floor of the Taylor Center. You may also call 334-244-3500 or email helpdesk@aum.edu.
  •                   

SOME IMPORTANT POLICIES IN THIS CLASS: 

  1. ATTENDANCE is critical for this class. I will take attendance at every class.   However no grades will be given toward attendance. You must be present to take all exams.    Leaving the class earlier without the permission of the instructor is considered as an absence. The attendance record may be used as one of the factors to determine borderline grades. 

  2.  
  3. There is absolutely no make-up for the homework/quizzes/worksheets. Late work passing the given deadline is not accepted. Missing test/exam: No make-up test/exam is allowed. A missing test/exam receives a grade of zero. No exam will be given earlier than the scheduled time. 

  4. A reasonable excuse commonly  refers to an institutional excuse, a doctor-signed excuse, or an excuse signed by some authorized people. 

  5. Exceptions only are made at the sole decision of the instructor. 

          I do NOT give any extra credits whatsoever.  Every student in the class are evaluated by the above  grading policy. Emails after the final exam asking for extra credits will not be answered.

HOW TO SUCCEED THIS COURSE?

In addition to my effort, your efforts are indispensable. 

(1) Except extreme cases, attending class only is far less sufficient to succeed (pass? ) the course. Let alone occasionally attending class.

(2)  To get a grade C, one is advised to spend at least 1 hour (depending on your background in mathematics) for each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing some homework problems.

(3) To get a grade B, one is advised to spend at least 1-2 hours for  each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing most of the  homework problems.

(4) To get a grade A, one is advised to spend at least 1-3 hours for  each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing almost all the  homework problems.

 

I would suggest you to write down your objective grade for this course, and commit your effort to this milestone of your life goal. Again, I wish you succeed.

My objective grade for this course is                         . I will commit         hours for each lecture hour to study the course materials. 

 

GUIDELINES OF HOW TO CALCULATE YOUR FINAL GRADE:

  1. All raw scores are converted to percentage to participate in calculating and comparison. The maximum percentage is 100% for any given quiz or exam.
  2. A quiz in this syllabus refers to an in-class quiz, an attendance-taken, a collected homework, or a collected worksheet.
  3. A missed quiz is scored as 0 for that quiz.   Finally, the average percentage of all the quizzes are calculated for the points of the quiz part. 

APPEALS: After final course grades have been submitted, you may appeal your final grade. As a first step, you would make a written appeal to the instructor of the course.

CLASS ATTENDANCE AND ENVIRONMENT: Perfect or near-perfect class attendance is important for students to gain and demonstrate competency in course concepts and skills. Students are expected to accept responsibility for class attendance and to complete in-class work assignments and examinations as scheduled by the instructor.

            Please be courteous to your fellow students and the instructor at all times. For example, do not converse with other students, read the newspaper, or sleep during the lecture. Do not pack up earlier than scheduled dismissing time.

Cell phones have to be set to silent (or preferably be turned off). If you have to answer a cell phone call during class, please quietly leave the classroom and move to a location where your conversation does not disrupt any class in progress.

Children should not be brought to class, except in emergency circumstances and only with the permission of the instructor.

Food, drinks, or gum should not be brought into the classroom.

AUM prohibits smoking in campus buildings. If you smoke, you may only do so outside the buildings.

PLAGIARISM: Plagiarism or cheating of any kind will not be tolerated. You can discuss solutions with classmates, but cannot copy (totally or partially) someone else’s solution or allow someone else to copy your solution. You will receive an ”F” in the course if you are caught.

DISCIPLINE AND ACADEMIC HONESTY. The policies of the Student Discipline Code apply. You are advised to familiarize yourself with these policies, which can be found in the current edition of the AUMANAC. Please, adhere to the standards of academic integrity stated in the AUM Catalog.

DISABILITY ACCOMMODATIONS: Students who need accommodations are asked to contact me by e-mail to discuss your accommodations. If you have not registered for accommodation services through the Center for Disability Services (CDS), but need accommodations, make an appointment with CDS, 147 Taylor Center, or call 334-244-3631 or e-mail CDS at cds@aum.edu.

COPYRIGHT NOTICE

Material presented in this course may be protected by copyright law.    

 

Disclaimer: The right of interpretation of this syllabus exclusively belongs to the instructor.

            

Weekly Schedule for Math 4230A/6230A-Complex Analysis: Spring 2017

Office Hours: MW:2:50--4:50, or by appointment.
Note: This is only a guide as how the course should proceed. Changes might occur. 

Section with an asterisk (*) is optional.

Week 1

1. 1/09:
2.
1/11:  

Week 2

    1/16:  Jan. 16, 17 Martin Luther King Day & Student Holiday.
3.
1/18:  

Week 3

4. 1/23:     
5.
1/25: 
  • Exam 1

Week 4

6. 01/30: 
7. 02/01:  

Week 5

8. 02/06:  
9.
02/08:   
  • Exam 2

Week 6
 

10: 02/13:  
11: 02/15:   

Week 7

12. 02/20: 
13:
02/22:    
  • Exam 3

Week 8

14. 02/27: 
15:
03/01:   

March 03: Mid-semester Grades Due

Week 9

16: 03/06:
17:
03/08:    
 

Week 10

03/13--03/17: Spring break, no classes.

Week 11

18. 03/20:  
19.
03/22: 
  • Exam 4

Week 12

20: 03/27: 
21: 03/29: 
      
 

Week 13

22: 04/03: 
23:
04/05:
  • Exam 5

Week 14

24. 04/10: 
25.
04/12:   
 

Week 15

26: 04/17:  
(in-class course evaluation in the first 15 minutes)
27:
04/19:  

Week 16

28: 04/24:
 
  • Last day of class:  Mon., 04/24 for Monday/Wednesday classes.                            
    Tuesday, 04/25  for Tuesday/Thursday classes.
  • Final week begins on Thursday, 04/27

Week 17

  • Final week
  • Final Exam time: Wednesday, May 03, 2017, at 5:00--07:30pm
  • GOOD LUCK ON THE FINAL AND HAVE A GREAT SUMMER!!!

Last updated: 01/07/2017