Jeremy Sylvestre, PhD, MSc, BSc (Eng)

About

Degrees
PhD, Mathematics (Toronto)
MSc, Mathematics (Toronto)
BSc (Eng), Mathematics and Engineering (Queen's)

Contact
See contact details above. Email is preferred over voicemail.

If you are a past student and need a syllabus from a past course, please contact the Augustana departmental administrative support staff at augustana.administration@ualberta.ca.

Research

My current research involves developing foundational libraries for the formalization of mathematics.

Teaching

I teach a variety of introductory 1st- and 2nd-year mathematics courses at the Augustana Campus: calculus, linear algebra, discrete math, and geometry.

AUMAT 120 - Linear Algebra I

Vector and matrix algebra, determinants, linear systems of equations, vector spaces, eigenvalues and eigenvectors, applications. Prerequisite: Mathematics 30-1.

AUMAT 216 - Intermediate Calculus

Further foundational topics in calculus, including: limits of sequences and functions, infinite series (including Taylor and Fourier series) and multi-variable differential calculus. Prerequisites AUMAT 110 or 116, and AUMAT 120.

AUMAT 260 - Foundations of Geometry

Axiomatic systems and finite geometries; neutral geometry and the various parallel postulates, leading to Euclidean and hyperbolic geometry; constructions; isometries of the plane and groups of transformations, and inversions in circles; models for Euclidean and hyperbolic geometry; applications. Prerequisite: AUMAT 120 or consent of the instructor.

AUMAT 320 - Numerical Linear Algebra

Computational problems in linear algebra, including linear systems and least squares and eigenvalues problems, with matrix factorizations as a main tool for tackling these problems. Prerequisites: AUMAT 240 or AUSCI 250 (2023).

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