The Math Academy is offered in-person at the University of Toronto – St. George campus.
Math Academy is a challenging, one-week, intensive, enrichment experience for students in grades 9-12 with very strong mathematical thinking ability. Students are accepted into the program on the basis of their solutions to a problem set which is aimed at highlighting their ability to think mathematically and creatively rather than testing for specific curricular knowledge.
The program is typically run during the summer and march break. Each one-week term is a standalone special topics course that goes in-depth on a single topic. The topic will be creative, fun, and somewhat abstract; in other words, what mathematicians consider “real math.” Math Academy includes both lecture-style teaching and significant time devoted to independent and small-group problem-solving.
Math Academy will be run in-person over Summer 2023. See below for additional details.
Summer Math Academy 2023 (In-Person Program)
August 14 - 18, 2023 (one week)
Schedule: 9am - 3:30pm Monday to Friday [Lunch Break from 12:00pm - 12:30pm]
Instructor: Luciano Salvetti Martinez, PhD candidate, Department of Mathematics
Course Title: Mathematical Logic
Course Description: Mathematical Logic is a branch of mathematics that deals with the study of formal systems and logical reasoning. It involves the use of symbols and notation to represent logical propositions, and the development of rules for inference and deduction.
In this course, we will learn how to construct logical arguments, identify fallacies, and analyze mathematical statements using formal logic. We will also learn how to use mathematical symbols and notation to represent logical statements and propositions. Additionally, the course will provide an introduction to set theory and model theory, which are essential tools for understanding mathematical structures and their properties. Ultimately, (and time permitting) how we can view the broad field of mathematics as an axiomatic system and what their limitations are (yes, there are mathematical statements that we will never be able to prove).
Learning Mathematical Logic is important because it provides students with a foundation for critical thinking and problem-solving skills. Logical reasoning is an essential tool for any mathematician, scientist, or engineer. In addition, Mathematical Logic has many applications in computer science, artificial intelligence, and cryptography. For example, propositional logic is used to develop algorithms for automated reasoning, and Godel's Incompleteness Theorems are fundamental to understanding the limitations of formal systems. By taking this course, students will gain a deeper appreciation for the role of logic in mathematics and its applications in various fields.
The cost of the program is $400+tax for the one week term.
Bursaries are available. Please wait until you've been accepted into Math Academy before requesting a bursary here.
University of Toronto - St. George Campus (In-Person), Exact Room and Building location will be announced after your acceptance to the program.
Students must first apply for the program and be accepted in order to register. Successful applicants will be informed of their acceptance as soon as possible.
Application Deadline: Sunday June 18, 2023
Please note the application consists of two parts, a completed quiz and a short answer to what makes you interested in math academy.