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. We are not able to take or return phone calls.

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

Registration for 2018/19 will be opened mid March 2018.

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 April)
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)

Competitive Math Program – Part I
(Number Theory and Analytic Geometry )
Grade 9 Students (September to May)

Competitive Math Program – Part II
(Contests Preparation)
Grade 9-12  Students (September to May)

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)
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, Science and Beyond
Grade 8-10 Students: (September to April)
Within art, science, humanities, sports, business and many other fields, there is math. Each week, in this stimulating class, we will use math as a window to the world, studying the math foundations of these fields. In every class, the focus will be on the connection between math and one or more subject areas (e.g. math and art, sports, ballistics, physics and magic). Each connection has been chosen for interest and applicability, as well as relevance to age and grade-level. Classes will be interactive, and students will engage in the topic of discussion each week, both theoretically and, where relevant, practically. On occasions higher level concepts will be introduced, gently, to enrich learning and provide a taste of what is to come in future studies, and entice students to extend their math education.

**NEW** Number Theory
Grades 6-7 Students: (September-April)
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** Introduction to Computer Algorithms I
Grades 8-9 Students: (September-April)
Introduction to algorithms will provide the basics of what an algorithm
is. We will show the kids how to think about resolving a problem as a
step-by-step process. We will show them how to break the problems in
manageable components and solve them in simple mathematical steps.

**NEW** Quantum Computing
Grades 11-12 (September-April)
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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