Instructor: Lubos Thoma
Office: Tyler Hall 214 / Lippitt Hall 102H
Tel: 874.4451
Email: thoma at math.uri.edu
Class Schedule: TuTh 2.00pm--3.15pm
Office hours: TuTh 12.30pm - 2.00pm, and by appointment
Information Flyer
If you have any questions,
feel free to contact me via my email above.
Textbook:
Loren Larson,
Problem-Solving Through Problems,
Springer Verlag, 3rd printing, 1992,
ISBN: 978-0-387-96171-2.
Description:
This is a mathematics seminar with an eye on the Putnam
competition. We will focus on problem-based learning.
The main goals of the seminar are
to revisit some of the important concepts encountered in your undergraduate curriculum;
thus, showing connections and providing synthesis of mathematical
tools across disciplines and providing a deeper insight into them,
to help you master these concepts and ideas through problem-based learning,
to nurture a friendly research atmosphere among the students.
Topics to include:
mathematical induction, recurrence relations,
pidgeonhole principle and ramsey theory
elementary number theory,
inequalities, the extremal principle,
limits, series, sums, real functions,
polynomials and their roots,
linear algebra, determinants, eigenvalues,
euclidean geometry,
graph theory and games.
Particular topics will be choosen in accord with the interest
of the audience.
Last but not least, the seminar will help the interested students
to get information about the nationwide William Lowell Putnam Mathematics
Competition. You can find more info at
http://www.unl.edu/amc/a-activities/a7-problems/putnamindex.shtml.
Prerequisite:
MTH 215 and MTH 243, or equivalent.
Grading Your grade will be based
on weekly homework, the midterm and final exams.
Students with disabilities:
Students who require accommodations should contact Disability Services for Students:
Office of Student Life, 330 Memorial Union, 874-2098. They will determine with
you what accommodations
are necessary and appropriate. All information and documentation is confidential.
Students who require accommodations and who have
documentation from Disability Services for Students
should make arrangements with the instructor
as soon as possible.