Complex Analysis

MATH 50403

Fall 2018

 

https://imgs.xkcd.com/comics/complex_numbers.png

From xkcd.com by Randall Munroe

 

 

Course Web Site:         http://faculty.tcu.edu/gfriedman/complex

Instructor:                    Greg Friedman

e-mail:                         g.friedman@tcu.edu

Office:                         309 Tucker Technology Center

Phone:                         X6343

Office Hours:              Please see my schedule for official office hours. If you can’t make it at the official times, feel free to drop by at any time – I’m usually available most afternoons and evenings. We can also make a specific appointment for another time, or you can ask questions by e-mail at any time.

 

Class Schedule:            MW 5:30-6:50 PM in Tucker 352

Final Exam:                 Wednesday December 12, 5:00-7:30 PM

Required Text:             Complex Variables and Applications, Ninth Edition by James Ward Brown and Ruel V. Churchill

Prerequisites:               MATH 30524 (Calculus III). Students are also expected to have strong familiarity with basic proof techniques. Basics of real analysis will be useful.

 

Asking questions:        Ask questions in class! It helps me know what needs to be explained better, and it makes classmates grateful that someone had the courage to ask. You are also encouraged to ask questions before class, after class, in my office hours, by e-mail, over telegraph, and every other possible way. Don't be shy!

Calculators:                  Calculators will be irrelevant for this course and so their use will not be permitted on exams.

 

 

Course Policies and Procedures

 

 

 

Exams: There will be two in-class midterm exams; see the calendar below (dates subject to change). The final exam will be on Wednesday December 12, 5:00-7:30 PM.

Problem assignments: Homework problems will be assigned via the course website at http://faculty.tcu.edu/gfriedman/complex/complex-hw.html. Problems will be assigned following each class session and will be due at the beginning of class the following Wednesday (unless otherwise noted). This gives you the opportunity to ask questions about homework problems during the first part of the week. Please take advantage of this. In particular, PROBLEMS SHOULD NOT BE LEFT UNTIL THE LAST MINUTE. Complex Analysis problems may require several days of contemplation. This is normal and expected of you.

Plagiarism: Looking up answers to homework questions online or anywhere else constitutes plagiarism and will result in a zero for an assignment and further disciplinary action, including but not limited to reporting to the dean’s office. It is acceptable to look up general information, such as a Google search for “Cauchy’s Theorem” or even general reference material for more specific techniques or examples of certain types of computations. It is not acceptable to look up solutions to specific problems or directly equivalent problems anywhere. If you have any question about the acceptability of any resource not expressly provided for the course, you should ask first.

Grading: Your final average will be determined approximately as follows: 35% for the final exam, 25% for each midterm, and 15% for homework. In-class quizzes, should any be given, will count as part of the homework grade. A cumulative average of 90% or above guarantees at least an A-, a cumulative average of 80% or above guarantees at least a B-, a cumulative average of 70% or above guarantees at least a C-, and a cumulative average of 60% or above guarantees at least a D-. Actual grade lines will be determined by the instructor; lower numerical averages might earn higher letter grades.

On Concepts: On exams and homework you will be tested not just on your ability to perform calculations but also on your understanding of concepts discussed in class and in the book. Therefore, it is important for you to read the material in the text (which you will be responsible for) and to study notes from class.

Extra Credit: In the extremely unlikely event any extra credit opportunities are offered, they will be offered to the entire class, not on an individual basis.

Attendance: Attendance is expected. You are responsible for all material and information from all class sessions, for handing in all homework on time, and for taking all exams at the appointed times.

Make-ups and accommodations: In the event that you will be unable to take an exam on time, an official written excuse is required. I expect to be notified at least one week in advance except in the case of documentable serious emergency, and in all cases I expect to be notified as soon as reasonably possible. Excuses may also be given by me to hand in homework late, again provided that a reasonable request is made in advance or proof of emergency situation is presented. Failure to abide by this policy will result in loss of course credit. For any special accommodations or rescheduling you may need, it is your responsibility to contact me at least one week in advance.

 

 

Course Schedule and Syllabus

 

Syllabus: We will cover roughly the topics indicated by the book sections listed below. Additional topics will be included if time permits. The following calendar should be taken as a rough guideline, subject to much change:

 

 

Week

Start Date

Textbook Section

Special

1

Aug. 20

1-4, 6-11

Aug. 20 – First class meeting

2

Aug. 27

5, 12-15

3

Sept. 3

16-18

Sept. 3 – Labor Day

4

Sept. 10

19-24

 

5

Sept. 17

25-27, 30, 37, 38,31

6

Sept. 24

32-36

Sept. 26 – Exam 1

7

Oct. 1

41-49

8

Oct. 8

50-57

9

Oct. 15

58-59

Oct. 15-16 – Fall break

10

Oct. 22

60-68

11

Oct. 29

69-77

12

Nov. 5

78-81

Nov. 7 – Exam 2; Nov. 9 – Last day to drop 

13

Nov. 12

82-86

14

Nov. 19

93

Nov. 21-23 – Thanksgiving break

15

Nov. 26

94, 112

16

Dec. 3

Catch-up/Review

Dec. 5 – Last Day of Class

17

Dec. 10

 

Final Exam – Wednesday, Dec.12 at 5:00 PM

 

University Policies

 

Statement of Disability Services at TCU

Texas Christian University complies with the Americans with Disabilities Act and Section 504 of the Rehabilitation Act of 1973 regarding students with disabilities.  Eligible students seeking accommodations should contact the Coordinator of Student Disabilities Services in the Center for Academic Services located in Sadler Hall, 1010.  Accommodations are not retroactive, therefore, students should contact the Coordinator as soon as possible in the term for which they are seeking accommodations. Further information can be obtained from the Center for Academic Services, TCU Box 297710, Fort Worth, TX 76129, or at (817) 257-6567.

 

Adequate time must be allowed to arrange accommodations and accommodations are not retroactive; therefore, students should contact the Coordinator as soon as possible in the academic term for which they are seeking accommodations.  Each eligible student is responsible for presenting relevant, verifiable, professional documentation and/or assessment reports to the Coordinator.  Guidelines for documentation may be found at http://www.acs.tcu.edu/disability_documentation.asp.

Students with emergency medical information or needing special arrangements in case a building must be evacuated should discuss this information with their instructor/professor as soon as possible.

Academic Misconduct:

**Academic Misconduct (Sec. 3.4 from the Student Handbook) –Any act that violates the academic integrity of the institution is considered academic misconduct. The procedures used to resolve suspected acts of academic misconduct are available in the offices of Academic Deans and the Office of Campus Life and are listed in detail in the Undergraduate Catalog (Student Policies>Academic Conduct Policy Details; http://catalog.tcu.edu/undergraduate/). Specific examples include, but are not limited to:

Netiquette: Communication Courtesy Code

All members of the class are expected to follow rules of common courtesy in all email messages, threaded discussions and chats.  If I deem any of them to be inappropriate or offensive, I will forward the message to the Chair of the department and the online administrators and appropriate action will be taken, not excluding expulsion from the course. The same rules apply online as they do in person.  Be respectful of other students.  Foul discourse will not be tolerated.  Please take a moment and read the following link concerning "netiquette".

All students are expected to have a tcu.edu e-mail address and to check it regularly.