MATHEMATICS 300 Section 101
Introduction to Complex Variables

HOMEWORK

1. Homework 1 , due to Friday, 14th of September 2012, 8:00 am, hand in before lecture.
2. Homework 2 , due to Friday, 21st of September 2012, 8:00 am, hand in before lecture.
3. Homework 3 , due to Friday, 28th of September 2012, 8:00 am, hand in before lecture.
4. Homework 4 , due to Friday, 12th of October 2012, 8:00 am, hand in before lecture.
5. Homework 5 , due to Friday, 19th of October 2012, 8:00 am, hand in before lecture.
6. Homework 6 , due to Friday, 26th of October 2012, 8:00 am, hand in before lecture.
7. Homework 7 , due to Friday, 2nd of November 2012, 8:00 am, hand in before lecture.
8. Homework 8 , due to Friday, 16th of November 2012, 8:00 am, hand in before lecture.
9. Homework 9 , due to Friday, 23rd of November 2012, 8:00 am, hand in before lecture.
10. Homework 10 , due to Friday, 30th of November 2012, 8:00 am, hand in before lecture.

Solutions

1. Solutions for Homework 1
2. Solutions for Homework 2
3. Solutions for Homework 3
4. Solutions for Homework 4
5. Solutions for Homework 5
6. Solutions for Homework 6
7. Solutions for Homework 7
8. Solutions for Homework 8
9. Solutions for Homework 9
10. Solutions for Homewowrk 10

Script

I have been working on a script lately and it is finished now. Please report any errors and typos you find.
The script is only intended for personal use.
script.pdf

EXAMS

• Midterm 1 is on Friday, October 5th, 8:00 am to 8:50 am in the classroom.
  Topics, up to definition of complex powers.
• Solutions for the first midterm
• Midterm 2 is on Wednesday, November 7th, 8:00 am to 8:50 am in the classroom.
• Solutions for the second midterm (Version B)

ADDITIONAL SUMERIZING NOTES (source: past math 300 courses, notations may slightly differ)

• Complex numbers and exponentials
• The Cauchy-Riemann equations
• The Partial Fraction Decomposition
• The complex function sin(z)

OUTLINE

PREREQUISITE:

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

INSTRUCTOR:

Christian Sadel
LSK building room 126C
csadel[at]math.ubc.ca
http://www.math.ubc.ca/∼csadel/
office hours: Monday, Wednesday 9:00am to 10:30 am, in MATX1118

TOPICS:

TEXT: E.B. Saff and A.D. Snider, Fundamentals of Complex Analysis with Applications to Engineering and Science, Pearson, Third Edition, 2003. ISBN-13: 9780139078743.

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:

• There will be two midterms, weekly problems and a final exam.
• Midterm 1 is on Friday, October 5th, 8:00 am to 8:50 am in classroom.
• Midterm 2 is on Wednesday, November 7th, 8:00 am to 8:50 am in the classroom.
• There are two grading schemes:
• scheme 1: Homework 10%, Each midterm 20%, Final: 50%
• scheme 2: Homework 5%,   Each midterm 15%, Final: 65%
• The grade will be based on the maximum of scheme 1 and scheme 2.
• Grades might be scaled if the statistics reveal that the exams were too hard.

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.