Math 300 Section 202 (Winter 2012-2013)
Introduction to Complex Variables
Announcements


Office Hours for week of April 15:
Tuesday, Thursday, and Friday, 3PM - 5PM + by appointment.

Rough Lecture Notes from March 15 through end of term.

Goursat's Theorem
If you are interested in a proof of this result (i.e., that you only need to assume differentiability, not continuous differentiability, in a domain to prove Cauchy's Integral Theorem, see the instructor. This will NOT be on the final exam.

Rough Lecture Notes from January 30 through March 15

Solutions to Midterm 2

Midterm 2:
Friday, March 22 (in class) Will cover chapter 3 (Sections 3.1-3.3 and 3.5) and chapter 4 (sections 4.1 - 4.6). Closed book.

Office Hours for week of March 18:
Tuesday 4-5:30, Wednesday 4:30 - 5:30, Thursday 4-5:30

Sample Midterm 2

Solutions to Sample Midterm 2

Another Sample Midterm 2

Solutions to Another Sample Midterm 2

Two problems from a past Midterm 2

Solutions to Two problems from a past Midterm 2

Extension on HW8:
HW8 is now due on Thursday, March 14 by 5:30 in my office (or under my office door, Math building room 218).

Solutions to Midterm 1

Rough Lecture Notes through January 30

Past Midterms (ignore problem 4 in each of these midterms):

Past Midterm 1

Past Midterm 2

Soltuions to Past Midterm 1

Solutions to Past Midterm 2

Registration:
Questions regarding registering for this class should be addressed to the Mathematics Department office staff, Room 121 Mathematics Building.

Homework:
Assigned weekly and due on Wednesdays in class. First assignment will be due on Wednesday, January 9. HAS BEEN POSTED BELOW. For information on homework policy, see below.

Midterms: Midterm 1, Wednesday, Feb. 6; Midterm 2, TBA (early or mid March)
For information on midterm policy, see below..

For other important dates:
See the calendar below.

Bicycle safety:
British Columbia law requires the use of a helmet when riding a bicycle.



Instructor Information

Instructor: Brian Marcus
Email : marcus[at]math[dot]ubc[dot]ca
Office: Math Building, Room 218
Office Hours:  TuTh 4:00-5:30 and by appointment
Phone: 822-3262

Course Information

Class time:  MWF 1:00 - 2:00
Class location:  LSK 460

Course web page:  http://www.math.ubc.ca/~marcus/math300 will be updated throughout the term.

Text:  E.B. Saff and A.D. Snider: Fundamentals of Complex Analysis with Applications to Engineering and Science, Pearson, 3rd Edition, 2003.

Course Description :
Topics include complex numbers, complex derivatives and analyticity, elementary functions, contour integration, Cauchy's theorem, Cauchy's Integral Formula, Taylor series, Laurent series, singularities and residues. We will cover most of chapters 1-6 in the text, including sections: 1.1-1.6, 2.1-2.5, 3.1-3.3, 3.5, 4.1-4.6, 5.1-5.6, 6.1-6.3.



Evaluation

Your course mark will be based on homework (15%), the two midterms (35%) and the final exam (50%). These are approximate percentages and other factors may be taken into account.


Course Policies

Missed Exam Policy: Please make sure you do not make travel plans, work plans, etc., without regard to the examination schedule in this class. There will be no make-up or alternate exams.

If you miss a midterm, your score will be recorded as 0, unless you have a serious documented reason (an illness, a death in the family, etc.), in which case you should discuss your circumstances with me as soon as possible, and in advance of the test.

Missed finals are not handled by the Instructor or the Mathematics Department. Students with legitimate reasons for missing the final exam should request a "Standing Deferred" status through their Faculty.

Academic Integrity: The Mathematics Department strictly enforces UBC's Academic Integrity Code.

Homework Assignments: Homework will be assigned weekly (approximately) and collected at the beginning of class on Wednesdays. A portion of each assignment will be graded by the course marker. Late homework will not be accepted. The lowest homework grade will be dropped. Students are allowed to consult one another concerning homework problems, but solutions submitted for credit must be written by the student in his or her own words. Copying solutions from another student, from the web or from any other source, and turning them in as your own is a violation of the Academic Code.

Students with Disabilities: Please see the Instructor as soon as possible if you need any special accommodations



Homework #1, due Wednesday, January 9. All homework is due at the beginning of class.

Solutions

Homework #2 due Wednesday, January 16

Solutions

Homework #3, due Wednesday, January 23

Solutions

Homework #4 due Wednesday, Jan 30

Solutions

Homework #5, due Wednesday, Feb 13 ( For parts a and b of Problem 7, you can use the result of Problem 16 of Section 3.2 and the fact that sin(z) maps onto the entire complex plane. You do not need to prove that your choices of subsets of the boundary actually work. But you will get extra credit for proofs).

Solutions

Homework #6 due Friday, March 1

Solutions

Homework #7 due Friday, March 8

Solutions

Homework #8 due Thursday, March 14, 5:30PM, in my office or under my office door.

Solutions

Homework #9 (not to be turned in); solutions to be posted by March 20.

Solutions (Section 4.6)

Solutions (Section 5.1)

Homework #10, due Wednesday, April 3

Homework #11 (NOT TO BE TURNED IN) Laurent Series and Singularities

Homework #12 (NOT TO BE TURNED IN) Residues and trigonometric integrals



Calendar

Wednesday, Jan 2
First lecture
Wednesday, Feb 6
Midterm 1
Monday, Feb. 11
Holiday
Monday, Feb 18 - Friday, Feb 22
Break (no classes)
Friday, March 22
Midterm 2
Friday, March 29
Holiday
Monday, April 1
Holiday
Friday, April 5 Last lecture
TBA (scheduled by UBC)
Final exam