Math 430 - Complex Analysis

Shippensburg University - Fall 2009

  • Instructor: Paul Taylor
  • Phone: 477-1705
  • email: pttaylor (at) ship.edu
  • Lectures: DHC110-TR, 11:00-12:15
  • Office Hours: MCT281 - M 3:30-4:30, T 10:00-11:00, T 1:30-3:00, R 1:30-3:00
  • Textbook: J. Brown and R. V. Churchill, Complex Variables and Applications
  • Course Web Page: http://webspace.ship.edu/pttaylor/430/430home.html
    •
  • Homework Problems
  • Homework Solutions
    •
    TOPICS OUTLINE
  • Vector notation, polar notation, functions
  • Limits, continuity, open and closed sets
  • Derivatives, analytic and harmonic functions
  • Cauchy's integral formula
  • Taylor and Laurent Series
  • Residues, contour integrals using residues
    •
    STUDENT EXPECTATIONS
  • This is a proof intensive course. Students will be required to write clear, accurate, detailed mathematical proof.
  • Attend every class period.
  • If there is a concept with which you need extra help, or if you find yourself falling behind, tell me about it. Come to office hours for extra help, or send me an email explaining your concerns. The sooner the better.
  • When working in class, stay on the task at hand and maintain a reasonable volume.
  • Be responsible for any material or announcements if you miss class.
    •
    GRADE WEIGHTING
    Your numerical grade for the course will be out of 500. The points are assigned as follows:
  • 100 points - Homework
  • 125 points - Midterm Exam 1
  • 125 points - Midterm Exam 2
  • 150 points - Final Exam
    •  Your total points will be converted to a letter grade according to the following scale:

    Letter Grade

    A

    A-

    B+

    B

    B-

    C+

    C

    D

    F

    Point Total

    465-500

    450-464

    435-449

    415-434

    400-414

    375-399

    325-374

    250-325

    less than 250
    HOMEWORK
    Homework problems will be assigned from the textbook during most classes. Each Thursday, you are required to submit the completed homework from the previous week. Only some of the problems you submit will be graded. Your grade on each homework will be out of 10 points, 6 points determined by the graded problems and 4 points determined by the completeness of the non-graded problems. You will lose 1 point from the non-graded portion for each non-graded problem left blank.
    After the homework is due, solutions to all problems will be posted on the class website. No late homework will be accepted.
    EXAMS
    There will be two midterm exams. Material covered will be announced in class and on this web page. The tentative dates are Thursday, October 8 and Thursday, November 12. If you anticipate a conflict with any of these dates, you must inform me at least one week in advance, or no accommodations will be given.
    The final exam will be longer and contain problems from the entire course.
    EXTRA CREDIT
    You can earn extra credit for attending mathematics department seminars or submitting solutions to the Problem Solving Contest.
  • You receive 2 points for attending the seminar and writing a paragraph containing some of your thoughts on the seminar. Your paragraph must be sent to Dr. Taylor by email prior to the next class period. You can earn a maximum of 10 points for seminars.
  • You receive 2 points for submitting a solution for the Problem Solving Contest. Your solution must be submitted before the deadline for the problem. Your solution need not be correct, but it must represent a strong effort (as determined by Dr. Taylor). You can earn a maximum of 10 points for PSC solutions.
    •
    POLICY REGARDING MISSED WORK
    If you are going to miss an exam or a homework deadline, inform me beforehand as soon as possible and at least one week in advance. We will then be able to arrange an alternate test time or deadline.
    If you miss a homework deadline because of sudden, unexpected reasons, inform me as soon as possible by email. You may be required to provide written documentation (ie. doctor note, note from parents, etc.).
    ACADEMIC DISHONESTY It is the policy of Shippensburg University to expect academic honesty. Students who commit breaches of academic honesty will be subject to the various sanctions outlined in the Undergraduate Catalog.
    Last modified: Tue Aug 18, 2009
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