Teaching

Quest operates under the "block plan", where students take just one course at a time: for 3 hours a day over three-and-a-half weeks.

In 2014-2015, I will be teaching Cornerstone in September, Mathematical Problem-Solving in October and December, Calculus I in February, Algorithm Analysis and Design in April, and Mathematical Problem-Solving in May.

In 2013-2014, I taught Cornerstone in September, Discrete Mathematics in December, Linear Algebra in February, and Mathematical Problem-Solving in October, April, and June.

In 2012-2013, I taught Mathematical Problem-Solving in February and March, and Statistics I in April.

Mathematical Problem-Solving

This course is about the heart of mathematics, a collection of beautiful problems connected together in unexpected ways. The problems are chosen from a wide spectrum, ranging from recreational puzzles and brain teasers to contest problems. Students will also read a math novel, in which the main character learns the art of problem-solving and through that process, develops insight, imagination, confidence, creativity, and critical thinking. Students will use this novel as a springboard to reflect upon their own mathematical journey and explore how problem-solving principles and techniques can be applied to address some of society's toughest challenges. (Course Syllabus).

Discrete Mathematics

How can mathematics improve society and empower us to live more sustainably? We tackle this question from the perspective of Discrete Mathematics, applying mathematical structures such as graphs and block designs to solve real-world problems ranging from reducing wait times for cars and passengers at the Canada-USA border to minimizing carbon emissions for a billion-dollar professional sports league. Specific topics include: graph theory, combinatorics, coding theory, scheduling theory, and game theory. Students complete a personal project, where they select a societal issue or injustice that lights a fire in their heart and apply mathematical techniques to propose a solution. (Course Syllabus)

Linear Algebra

Mathematical applications in the sciences often require the manipulation of many variables at once. Information concerning these variables, coded in matrices andi vectors, can be manipulated to produce powerful results in disciplines as diverse as medicine, population dynamics, and meteorology. Students explore some of these applications as motivations for topics such as solving systems of linear equations, matrix and vector operations, linear independence and vector spaces, eigenvalues, and other topics. (Course Syllabus)

Statistics I (The Practice of Statistics)

Statistics, the most pervasive application of mathematics in modern society, is a standard research tool in such diverse fields as biology, psychology, medicine, business, and politics. Its apparent invincibility belies the ease with which it can be abused to assist corporate, political, and even scientific agendas. In addition to critiquing existing uses of statistics, students develop an ability to use them responsibly to reflect information implied in data. Specific topics include: descriptive statistics, distributions, hypothesis testing and confidence intervals, regression and correlation, and analysis of variance. (Course Syllabus).