MATHEMATICS 300 Section 101, Winter 2013/2014
Introduction to Complex Variables

Course details

Time: MWF 8:00-9:00
Building: Geography
Room: 200

HOMEWORK

Script

There will be a script made available before the lectures. I give no guarantee on the script, it may be errorneous.

If you detect differences in the script and the lecture, please tell me and I will update it. The script will be very dense and not contain too many explenations, therefore it is recommended that you get a textbook for reading as well, but it is not required. There won't be homework assignments from the book, however, the text book does provide some extra exercise for the students. Especially if you plan to take math 301 after this course, it is worth it to get the textbook.

Additional notes (source: past courses, notations may slightly differ)

EXAMS

There will be two midterms.

The date for the final has not been decided yet.

OUTLINE

PREREQUISITE:

One of MATH 200, MATH 217, MATH 226, MATH 253, MATH 263.

INSTRUCTOR:

Christian Sadel
office: LSK building room 126C
csadel[at]math.ubc.ca
http://www.math.ubc.ca/∼csadel/
office hours: Wednesday and Friday, 9:00 - 11:00 am in LSK 303D

Text

My own script, and the textbook: E.B. Saff and A.D. Snider, Fundamentals of Complex Analysis with Applications to Engineering and Science, Pearson, Third Edition, 2003. ISBN-13: 9780139078743.
The material from the script will be the material tested, the textbook offers additional explanations and sketches.
The script will be very dense and I do not give a guarantee on correctness of every formula in the script. It is the students responsibility to clarify possible discrepancies between text and lecture with the instructor and to make sure that the contents and aspects of the lectures are understood. Students are always welcome to ask questions, go to office hours and make appointments.
If you only want to use the script then it is highly recommended to visit all lectures and make notes on additional explanations and sketches which are missing in the script.

TOPICS

  1. Complex Numbers (§1.1-1.6)
  2. Analytic Functions (§2.1-2.5)
  3. Elementary Functions (§3.1-3.3, 3.5)
  4. Complex Integration (§4.1-4.6)
  5. Series Representations for Analytic Functions (§5.1-5.3,5.5,5.6)
  6. Residue Theory (§6.1-6.3)
  7. Additional stuff from §6 and §7 if time permits.

GRADING:

POLICIES:

Missing a homework or midterm normally results in a mark of 0. Exceptions may be granted in two cases: prior consent of the instructor or a medical emergency. In the latter case, the instructor must be notified within 48 hours of the missed test, and presented with a doctor's note immediately upon the student's return to UBC. Failure to comply also results in a 0 mark.
If a homework was missed for legitimed reason, the homework grade will be based on all other homeworks, if a midterm was missed, there will be a make up midterm for the particular student(s), except in exceptional cases with long illness.
In any circumstance, the grade will not be based on the homework and the final alone! There has to be at least one midterm grade.