# Teaching

I am passionate about mathematics education. I have aimed to improve my teaching by turning my classrooms into collaborative workshops, where students learn through experimentation and creativity. Read more about my teaching philosophy.

Courses taught:

Current: MAT 1341 - Introduction to Linear Algebra. Syllabus. A first course in linear algebra for students with some background in vector geometry. This course will take a "vector spaces first" approach, introducing students to the formalism of vector spaces right at the beginning. More traditional linear algebra topics, like solving systems of equations, can then be seen as specific examples of general statements about vector spaces. Examples include spaces of matrices and of functions.

Past (at uOttawa):

• MAT 1339 - Calculus and Vectors. Syllabus. This introductory course covered differential calculus as well as basic elements of vector geometry and arithmetic. During the vector portion of the course, I emphasized the interplay between geometric and algebraic points of view, and asked students to geometrically interpret vector operations like the dot and cross product.

Past (at UVa):

• Spring 2018: MATH 1110 - Probability and Finite Math. Syllabus. A precalculus course primarily for students in non-science majors. The first part of the course was spent learning basic set theory and solving counting problems -- how many valid UVa email addresses exist? how many natural numbers between 1 and 1200 are multiples of neither 2 nor 3? We then applied these techniques to answer questions about probability. We learned about Bayes' Theorem and conditional probability, and discussed classic conundrums like the Monty Hall problem (the solution of which we verified experimentally as a class). Finally, we briefly discussed how Markov chains can be used to answer questions about the evolution of systems. Along the way, we discussed highlights from a few discrete math topics, like graph theory. Sample HW. Evaluations.