University of Toronto Mathematics Competition (2001–2015)

  • Edward J. Barbeau

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Edward J. Barbeau
    Pages 1-22
  3. Edward J. Barbeau
    Pages 23-48
  4. Edward J. Barbeau
    Pages 49-57
  5. Edward J. Barbeau
    Pages 59-73
  6. Edward J. Barbeau
    Pages 75-84
  7. Edward J. Barbeau
    Pages 85-106
  8. Edward J. Barbeau
    Pages 107-132
  9. Edward J. Barbeau
    Pages 133-148
  10. Edward J. Barbeau
    Pages 149-151
  11. Edward J. Barbeau
    Pages 153-170
  12. Edward J. Barbeau
    Pages 171-185
  13. Back Matter
    Pages 187-207

About this book


This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in chronological order as presented to the students. The solutions appear in subsequent chapters according to subject matter. Appendices recall some background material and list the names of students who did well.  

The University of Toronto Undergraduate Competition was founded to provide additional competition experience for undergraduates preparing for the Putnam competition, and is particularly useful for the freshman or  sophomore undergraduate. Lecturers, instructors, and coaches for mathematics competitions will find this presentation useful. Many of the problems are of intermediate difficulty and relate to the first two years of the undergraduate curriculum. The problems presented may be particularly useful for regular class  assignments. Moreover, this text contains problems that lie outside the regular syllabus and may interest students who are eager to learn beyond the classroom.


Putnam competition preparation Toronto math competition undergraduate problems mathematics university mathematics competition single-variable calculus linear algebra advanced algebra analytic geometry combinatorics fundamental group theory differential equations

Authors and affiliations

  • Edward J. Barbeau
    • 1
  1. 1.University of TorontoTorontoCanada

Bibliographic information