University of Toronto mathematics competition (2001-2015) /

University of Toronto mathematics competition (2001-2015) /

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Bibliographic Details
Author / Creator:	Barbeau, Edward, 1938- author.
Imprint:	Switzerland : Springer, 2016.
Description:	1 online resource (viii, 207 pages) : illustrations (some color)
Language:	English
Series:	Problem books in mathematics, 0941-3502 Problem books in mathematics,
Subject:	Mathematics -- Competitions -- Ontario -- Toronto. Mathematics -- Competitions. Ontario -- Toronto. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11254875

Hidden Bibliographic Details
ISBN:	9783319281063 3319281062 3319281046 9783319281049 9783319281049
Notes:	Includes index. Online resource; title from PDF title page (SpringerLink, viewed April 20, 2016).
Summary:	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.
Other form:	Printed edition: 9783319281049
Standard no.:	10.1007/978-3-319-28106-3

Table of Contents:

Preface
1. Problems of the Contests
2. Algebra
3. Inequalities
4. Sequences and Series
5. Calculus and its Applications
6. Other Topics in Analysis
7. Linear Algebra
8. Geometry
9. Group Theory
10. Combinatorics and Finite Mathematics
11. Number Theory
Appendix A: Definitions, Conventions, Notation, and Basics
Appendix B: Top-Ranking Students
Index.