Math 191

Advanced problem solving

Classes: MWF, 1-2 pm, Room 5 Evans Hall
Office hours: Tu 11:00 am - 12:00 noon, Th 12:00 noon -- 1:00 pm at the Student Learning Center, and by appt.

Table of Contents

Topics covered


Resources


Academic honesty

The instructor welcomes cooperation among students and the use of books. However, handing in homework that makes use of other people's work (be it from a fellow student, a book or paper, or whatever) without explicit acknowledgement is considered academic misconduct. Make sure to include proper acknowledgement when quoting anything directly or paraphrasing.


Assignments

Homework is due at the beginning of class on the day specified. No late homework. If you cannot make it to class, find a way to submit your work before the deadline.


Misc. handouts

  • Mathematical induction, in PS and in PDF.
  • Integers and primes, in PS and in PDF.
  • Congruence, in PS and in PDF.
  • Rational and irrational numbers, in PS and in PDF.
  • Complex numbers, in PS and in PDF.
  • Progressions and sums, in PS and in PDF.
  • Diophantine equations, in PS and in PDF.
  • Quadratic reciprocity, in PS and in PDF.
  • Polynomials, in PS and in PDF.
  • Rolle's theorem and Descartes' rule of signs, in PS and in PDF.
  • Polynomial equations and symmetric functions, in PS and in PDF.
  • Classical inequalities, in PS and in PDF.
  • Complex analysis in a nutshell, in PS and in PDF.
  • Linear algebra in a nutshell, in PS and in PDF.
  • Inclusion-exclusion principle, in PS and in PDF.
  • Pigeonhole principle, in PS and in PDF.
  • Generating functions, in PS and in PDF.
    Last modified: Nov 4, 2011