Math Enrichment Centre

The School of Mathematics and Statistics offers, with its partners, several math enrichment programs for grade school students. These are excellent opportunities for those who already do well in school and would like to experience math that goes beyond the standard school curriculum.  Please note that the grades below indicate the level of mathematics and not the age.

CMS
Math Enrichment Centre is supported in part with an Endowment Grant from the Canadian Mathematical Society.

Please note that information on courses, registration, fees…..can only be provided by email which is available on each of the course links below.

Math Kangaroo Adventures Algebra and Trigonometry Course Competitive Math Contests Competitive Math Part I
Competitive Math Part II Fundamentals of Geometry I Course Fundamentals of Geometry II Course MATHEMA Course
Introduction in Algebra JAVA Programming at a Glance Foundations of Calculus Course Math Connections in Arts and Science
MathLink Program Conferences  **NEW** Number Theory  **NEW** Quantum Computing
**NEW** Introduction to Computer Algorithms I

The School of Mathematics and Statistics has expanded its outreach activities to include the following.

Math Kangaroo Adventures
Grade 3-4 and 5-6 Students

Algebra and Trigonometry Course
Grade 11-12* Students: (September to May)
*Refers to the level of mathematics and not to the actual age.
This course runs in the environment which is very close to the actual University course, with regular assignments, mid-term and a final exam. The objective of this course is to better prepare students for success in their future University-level mathematics courses.

Competitive Math Contests

Introduction to Algebra
(equations, system of equations, inequalities, system of inequalities)
Grade 7-8* Students (September to May)
*Refers to the level of mathematics and not to the actual age.

Competitive Math Program – Part I
(Number Theory and Analytic Geometry )
Grade 9* Students (September to May)
*Refers to the level of mathematics and not to the actual age.

Competitive Math Program – Part II
(Contests Preparation)
Grade 9-12  Students (September to May)
*Refers to the level of mathematics and not to the actual age.

Fundamentals of Geometry I Course
Grade 7-8 Students: (September to May)
Geometry is a wonderful playground for developing logical and consistent thinking. It may be regarded as a game played by axiomatic rules created by the ancient Greeks. However, this classical part of mathematics is practically nonexistent as a subject in the curriculum of Canadian schools.

Fundamentals of Geometry II Course
Grade 8-9 Students: (September to May)
In this sequel course more advanced topics in Geometry will be studied, including an introduction to trigonometry and 3-dimensional geometry.

Foundations of Calculus Course
Grade 10-12* Students: (September to April)
The objective of this course is to better prepare students for success in their future University-level mathematics courses.

JAVA Programming at a Glance
Grade 10-12 Students: (September to April)
This is a Computer Science course for the students who are already familiar with the basics of programming (in any computer programming language).

MATHEMA Course
Grade 9 & Exceptional Grade 8 Students: (September to May)
This course is devoted to 3 subjects: Algebra, Computer Science and Physics. In the Computer Science component we will discuss algorithms and mathematical modeling. The Physics component will focus on kinematics, dynamics, conservation laws and electricity.

MathLink Program (Free Program)
Grade 9-10* Students: (September to April)
*Refers to the level of mathematics and not to the actual age.
MathLink is a free Math enrichment program at Carleton University, which started in 2006. MathLink will give an opportunity for the high school students to explore mathematics beyond the school program. Anyone with interest in mathematics is invited to participate.

Math Connections in Arts and Science
Grade 8-10 Students: (January to May)
Hidden inside art, humanities, pop culture, sports, and so many other fields, there is math. Each week, we will use math as a window to the world, studying the math hidden inside these fields. The math studied will be challenging, but grade-level appropriate, and the connections formed between math and other fields will be strong and explicit. The classes will be interactive; students will actually engage in the math of music, or the math of games, or the math of disasters, or whatever subject we happen to be studying that week.

**NEW** Number Theory
Grades 6-7 Students: (September-May)
*Refers to the level of mathematics and not to the actual age.
This is a challenging pre-algebra course. Some of the topics that will discuss include the following:
Arithmetic with negative numbers and with fractions
Simplifying difficult arithmetic expressions
Divisibility, prime numbers
Greatest common divisors
Euclidean algorithm for finding greatest common divisors
Arithmetic with remainders, applications to cryptography
Arithmetic with the binary system and other bases

**NEW** Quantum Computing
Grades 11-12 (September-May)
*Refers to the level of mathematics and not to the actual age.
This is a challenging course on Quantum Computing. Quantum Computers potentially have powers far superior to the computers we use today. Theoretical foundations (mathematics and physics) of quantum computing are solid, but there are significant obstacle in technology. There exist first prototypes of quantum computers (including those made by a Canadian company), but these are still far off from reaching their full potential. The goal of this course is to understand Shor’s Quantum Algorithm for integer factorization. When implemented, this algorithm is capable of breaking most of the cryptography that we use today in the Internet communications.

This course will combine Quantum mechanics, Algebra and Computer Science.

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