Jeremy Sylvestre, PhD, MSc, BSc (Eng)
Contact
Associate Professor, Augustana  Sciences
 jsylvest@ualberta.ca
 Phone
 (780) 6791586
 Address

2332 Faith & Life Centre
490146 AveCamrose ABT4V 2R3
Associate Chair, Augustana  Sciences
 jsylvest@ualberta.ca
Overview
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 2ndyear mathematics courses at the Augustana Campus: calculus, linear algebra, discrete math, and geometry.
Courses
AUMAT 116  Calculus Concepts and Modelling
Foundational topic of calculus (including differentiation and integration of algebraic, trigonometric, exponential and logarithmic functions; Fundamental Theorem) with a focus on modelling and elementary differential equations. Prerequisite: Mathematics 301. Note: Credit may be obtained for only one of AUMAT 116 or 110.
AUMAT 120  Linear Algebra I
Vector and matrix algebra, determinants, linear systems of equations, vector spaces, eigenvalues and eigenvectors, applications. Prerequisite: Mathematics 301.
AUMAT 216  Intermediate Calculus
Further foundational topics in calculus, including: limits of sequences and functions, infinite series (including Taylor and Fourier series) and multivariable differential calculus. Prerequisites AUMAT 110 or 116, and AUMAT 120.
AUMAT 229  Introduction to Group Theory
Groups as a measure of symmetry. Groups of rigid motions. Frieze groups, and finite groups in two and three dimensions. Groups of matrices. Group actions with application to counting problems. Permutation groups. Subgroups, cosets, and Lagrange's Theorem. Quotient groups and homomorphisms. Prerequisites: AUMAT 120 and one of 110 or 116.
AUMAT 250  Discrete Mathematics
Sets, functions, elementary propositional and predicate logic, Boolean algebra, elementary graph theory, proof techniques (including induction and contradiction), and combinatorics. Prerequisites: AUMAT 110 or 116, and 120.
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).