:: Jeremy Sylvestre, PhD.

Associate Professor, Mathematics
Department of Science
University of Alberta, Augustana Faculty

:: Contact

The University of Alberta Augustana Campus
4901 – 46 Avenue
Camrose, Alberta, Canada
T4V 2R3

Office:Faith & Life Centre  AU F 2-332
Email:jeremy.sylvestre@ualberta.ca
Phone:780.679.1586  [Please email instead of leaving a voicemail.]

:: Teaching

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

:: Schedule

No classes. Available by appointment only.

:: Teaching Materials

Discover Linear Algebra

An open-access, inquiry-based textbook for a two-semester course in linear algebra.
  :: More info    :: Web Version    :: Source (PreTeXt) @ Github.com

Discover Linear Algebra: A first course in linear algebra

One-semester version of Discover Linear Algebra.
  :: Web Version

Elementary Foundations: An introduction to topics in discrete mathematics

Textbook with a focus on developing mathematical logic skills. Soon to be open access.
  :: More info    :: Web Version

Calculus Concepts and Modelling: An introduction to the concepts of calculus

Textbook with a focus on early introduction of differential equations.
   :: Web Version

:: Augustana Teaching History

2024–25
On sabbatical.
2023–24
Fall AUMAT 250 Discrete Mathematics Winter
Block Block
Fall AUMAT 116 Calculus Concepts and Modelling Winter AUMAT 120 Linear Algebra I
Term     (2 sections) Term     (2 sections)
AUMAT 216 Intermediate Calculus
AUMAT 320 Numerical Linear Algebra
2022–23
Fall AUMAT 229 Introduction to Group Theory Winter AUMAT 120 Linear Algebra I
Block Block
Fall AUMAT 116 Calculus Concepts and Modelling Winter AUMAT 120 Linear Algebra I
Term AUMAT 250 Discrete Mathematics Term AUMAT 220 Linear Algebra II
2021–22
Fall AUMAT 260 Topics in Geometry Winter AUMAT 120 Linear Algebra I
Block Block
Fall AUMAT 116 Calculus Concepts and Modelling Winter AUMAT 120 Linear Algebra I
Term AUMAT 250 Discrete Mathematics Term AUMAT 212 Intermediate Calculus II
2020–21
Fall AUMAT 250 Discrete Mathematics Winter AUMAT 120 Linear Algebra I
Block Block
Fall AUMAT 110 Elementary Calculus I Winter AUMAT 120 Linear Algebra I
Term AUMAT 229 Introduction to Group Theory Term AUMAT 220 Linear Algebra II
2019–20
Fall AUMAT 260 Topics in Geometry Winter
Block Block
Fall AUMAT 116 Elementary Calculus I Winter AUMAT 120 Linear Algebra I
Term AUMAT 120 Linear Algebra I Term AUMAT 212 Intermediate Calculus II
AUMAT 250 Discrete Mathematics
2018–19
Fall AUMAT 250 Discrete Mathematics Winter
Block Block
Fall AUMAT 116 Elementary Calculus I Winter AUMAT 120 Linear Algebra I
Term AUMAT 120 Linear Algebra I Term AUMAT 220 Linear Algebra II
AUMAT 229 Introduction to Group Theory
2017–18
Fall AUMAT 260 Topics in Geometry Winter
Block Block
Fall AUMAT 116 Elementary Calculus I Winter AUMAT 120 Linear Algebra I
Term AUMAT 120 Linear Algebra I Term AUMAT 212 Intermediate Calculus II
AUMAT 250 Discrete Mathematics
2016–17
Fall AUMAT 116 Elementary Calculus I Winter AUMAT 112 Elementary Calculus II
AUMAT 120 Linear Algebra I AUMAT 120 Linear Algebra I
AUMAT 250 Discrete Mathematics AUMAT 220 Linear Algebra II
2015–16
On sabbatical.
2014–15
Fall AUMAT 110 Elementary Calculus I Winter AUMAT 112 Elementary Calculus II
    (2 sections) AUMAT 120 Linear Algebra I
AUMAT 250 Discrete Mathematics AUMAT 220 Linear Algebra II
2013–14
Fall AUMAT 101 Preparation for Calculus Winter AUMAT 120 Linear Algebra I
AUMAT 116 Elementary Calculus I AUMAT 212 Intermediate Calculus II
AUMAT 250 Discrete Mathematics
2012–13
Fall AUMAT 110 Elementary Calculus I Winter AUMAT 112 Elementary Calculus II
AUMAT 111 Elementary Calculus I AUMAT 120 Linear Algebra I
AUMAT 250 Discrete Mathematics AUMAT 220 Linear Algebra II
2011–12
Fall AUMAT 111 Elementary Calculus I Winter AUMAT 120 Linear Algebra I
    (2 sections) AUMAT 212 Intermediate Calculus II
AUMAT 250 Discrete Mathematics AUMAT 260 Topics in Geometry
2010–11
Fall AUMAT 110 Elementary Calculus I Winter AUMAT 112 Elementary Calculus II
    (2 sections) AUMAT 120 Linear Algebra I
AUMAT 250 Discrete Mathematics AUMAT 220 Linear Algebra II
2009–10
Fall AUMAT 111 Elementary Calculus I Winter AUMAT 120 Linear Algebra I
AUMAT 250 Discrete Mathematics AUMAT 212 Intermediate Calculus II
AUMAT 260 Topics in Geometry AUMAT 330 Ordinary Differential Equations
2008–09
Fall AUMAT 111 Elementary Calculus I Winter AUMAT 110 Elementary Calculus I
AUMAT 250 Discrete Mathematics AUMAT 120 Linear Algebra I
AUMAT 220 Linear Algebra II

:: Scholarship

Interests:  Formal proofs; philosophy of mathematics; scholarship of teaching and learning in undergraduate mathematics; representations of p-adic groups.

Papers

"Formal Laurent Series," Isabelle source distribution, 2019. First included in Isabelle2019: Theory file.

"Formal Power Series" (with A. Chaieb and M. Eberl), Isabelle source distribution, 2019. Modified version first included in Isabelle2019: Theory file.

"Chamber complexes, Coxeter systems, and buildings," Archive of Formal Proofs, July 2016, http://isa-afp.org/entries/Buildings.shtml. Formal proof development.

"Representations of finite groups," Archive of Formal Proofs, August 2015, http://isa-afp.org/entries/Rep_Fin_Groups.shtml. Formal proof development.

"A problem-centered approach to canonical matrix forms," PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 24:3, p. 247–256.
PDF Preprint
Note:  This preprint is an Author's Original Manuscript of an article whose final and definitive form, the Version of Record, has been published Nov 2013 in PRIMUS as detailed above, © Taylor & Francis, available online at http://www.tandfonline.com/doi/full/10.1080/10511970.2013.865691.

"Twisted characters of depth-zero supercuspidal representations of GL(n)," PhD thesis, University of Toronto.
PDF