Math 430 - Complex Analysis

Shippensburg University - Fall 2026

  • Instructor: Paul Taylor
  • Phone: 477-1705
  • email: pttaylor (at) ship.edu
  • Lectures:  TR 11:00-12:15, MCT251
  • Student Consultation Hours: MCT281 - 12:30-1:30 MTWRF
  • Textbook: J. Brown and R. V. Churchill, Complex Variables and Applications (any edition)
  • Course notes: http://webspace.ship.edu/pttaylor/430/430notes.pdf
  • 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 posted online for 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, unless an extension is requested before the deadline (in which case I can delay posting solutions).
    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 1 and November 5. 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 participating in certain mathematical enrichment activities.  You can receive a maximum of 10 points of extra credit.
  • 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 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).
    •
    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.
    OFFICE OF ACCESSIBLE RESOURCES Shippensburg University welcomes students with disabilities into all of the University's educational programs and strives to make all learning experiences as accessible as possible.  Any student who feels s/he may need an accommodation based on the impact of a disability should contact the Office of Accessibility Resources (OAR) to discuss specific needs.  OAR is located in Mowrey Hall 252 and can be reached by phone at (717) 477-1364 or via email at oar@ship.edu. The office�s website is www.ship.edu/oar.

    In order to receive consideration for reasonable accommodations, you must provide documentation and participate in an intake meeting.  If the documentation supports your request, the Office of Accessibility Resources will provide you with an Accommodation Notification Form.  OAR encourages you to share your notification form with your instructors and discuss your accommodations with them as early in your courses as possible. You must submit a request for a new notification form each semester that you request accommodations.
    CAS ADVISING CENTER The College of Arts & Sciences Advising Center (CASA): located in DHC 216, CASA is a walk-in office that offers several types of academic support, from advice and help on time management, test anxiety, and study skills to discussions about what major might be right for you. Fall 2019 hours are Mon-Thurs from 8:30 to 4:00 and Fri from 12:00 to 3:00. You can also email (casa@ship.edu) or call (717-477-1150) to set up a time to meet with a success coach or faculty advisor.
    TITLE IX Shippensburg University of Pennsylvania and its faculty are committed to assuring a safe and productive educational environment for all students. In order to meet this commitment and to comply with Title IX of the Education Amendments of 1972 and guidance from the Office for Civil Rights, the University requires faculty members to report incidents of sexual violence shared by students to the University’s Title IX Coordinator. The only exceptions to the faculty member's reporting obligation are when incidents of sexual violence are communicated by a student during a classroom discussion, in a writing assignment for a class, or as part of a university-approved research project. Faculty members are obligated to report sexual violence or any other abuse of a student who was, or is, a child (a person under 18 years of age) when the abuse allegedly occurred to the person designated in the University Protection of minors policy.
    Information regarding the reporting of sexual violence and the resources that are available to victims of sexual violence are available on the Office of Human Resources website: https://www.ship.edu/about/offices/hr/title_ix_statement/
    Reports may be made to the following individuals:
    Lorie Sheetz, Vice President of Student Affairs and Dean of Students, Office of Student Affairs - Old Main 210 - Ph: 717-477-1164 - LADavis@ship.edu
    Nipa Browder - Associate Human Resources Director - Office of Human Resources - Old Main 109 - Ph: 717-477-1124 (option 7) - NBrowder@ship.edu
    Jennifer Milburn - Deputy Title IX Coordinator - Housing/ResLife - Old Main 210 - Ph: 717-477-1904 - JSMilburn@ship.edu
    Alix Rouby - Deputy Title IX Coordinator - Career Center - CUB 108 - Ph: 717-477-1595 - AJRouby@ship.edu
    Mary Burnett - Deputy Title IX Coordinator - International Programs - MOW 247 - Ph: 717-477-1279 - MEBurnett@ship.edu
    Last modified: Aug 7, 2026
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