{"id":21696,"date":"2022-06-21T15:49:02","date_gmt":"2022-06-21T19:49:02","guid":{"rendered":"https:\/\/carleton.ca\/math\/?page_id=21696"},"modified":"2026-10-19T21:30:01","modified_gmt":"2026-10-20T01:30:01","slug":"proofs","status":"publish","type":"page","link":"https:\/\/carleton.ca\/math\/math-enrichment-centre\/proofs\/","title":{"rendered":"How to read and do Proofs"},"content":{"rendered":"

How to read and do Proofs (In-person)<\/span><\/h4>\n

Grade 11-12 Students (September to May)<\/p>\n

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.<\/p>\n

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.<\/p>\n

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.<\/p>\n

<\/p>\n

2026\/27 Course Information<\/strong><\/h4>\n

The course will run in person from September 15th<\/strong>, 2026 to May 2027 on Tuesday evenings from 8:30 to 10:00 pm. (Break in December).<\/p>\n

We reserve the right to cancel the course with a full refund if minimum enrollment is not reached.<\/p>\n

<\/p>\n

Registration Information<\/strong><\/p>\n

<\/p>\n

Registration for the 2026\u20132027 academic year is now closed. Registration for 2027\u20132028 will open in May 2027.<\/p>\n

<\/p>\n

Refund Policy<\/strong><\/p>\n

100% refund prior to August 31st
\n95% refund prior to September 30th
\n75% refund prior to October 31st
\n50% refund prior to November 30th<\/p>\n

To request refund, please complete this form<\/a> before the deadline.<\/p>\n

Inquiries<\/strong><\/h4>\n

For details\u00a0please write to\u00a0the Course Instructor Dr. Dragos Calitoiu: calitoiu@math.carleton.ca<\/a>.<\/p>\n

**Please note we are unable to answer any enquiries by phone.**<\/span><\/strong><\/p>\n

Need Directions?<\/strong><\/p>\n

Carleton University Campus Map<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

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