How to read and do Proofs (In-person)

Grade 11-12 Students (September to May)

The study of proofs is the study of reasoning using deductive logic. A proof is a convincing argument, expressed in the language of mathematics, that a given statement is true. The main property of the language of mathematics is its precision: properly presented, a proof contains no ambiguity and there is no doubt about its correctness. A proof should be understandable and convincing to anyone who has the required knowledge regarding mathematical words and symbols.

Developing your own proofs is a requirement in many prestigious mathematical competitions such as the Canadian Mathematical Olympiad and the U.S. Mathematical Olympiad. Students will have an opportunity to learn the basic language necessary for writing proofs and also how to design proofs selecting between a few techniques: direct proof, contrapositive proof, proof by contradiction, or disproving. Examples will cover Geometry, Number Theory, and Algebra.

This is an invitation-based program for Grade 11-12 students. Admission is only open to students who have successfully completed Competitive Math I and Fundamentals of Geometry II.

2022/23 Course Information

The course will run in person from September 20, 2022 to May 2023 on Tuesday evenings from 6:00 to 8:15 pm. (Break in December).

We reserve the right to cancel the course with a full refund if minimum enrollment is not reached.

Registration Information

Registration fee for the course: $650 + HST.


Eligible students will receive special Registration Codes which are required to complete a registration for this course. If you meet the eligibility criteria, but did not receive the codes, please email the Course Instructor (email address is given below).

Please note that Registrations Codes are personalized, course-specific and non-transferable.

For students with limited financial resources fee waivers may be available. If you intend to apply for a fee waiver, please do NOT complete the regular registration. If you register for the course and then get approval for a fee waiver, there will be a non-refundable administration fee of $25 per registration.

Fee Waiver Information and Application

Refund Policy

100% refund prior to August 31st
95% refund prior to September 30th
75% refund prior to October 31st
50% refund prior to November 30th

To request refund, please complete this form before the deadline.


For details please write to the Course Instructor Dr. Dragos Calitoiu:
**Please note we are unable to answer any enquiries by phone.**

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