Stefan Bilaniuk
Face

post: Dept. of Mathematics, Trent University, Peterborough, Ontario, Canada K9J 0G2
e-mail: sbilaniuk{at}trentu{period}ca
[If it's important, see me or call!]
office: Enwayaang 337
telephone: 705 748-1011 x7474
Summer 2021 hours: All online...
home phone: 705 742-7862
[Please do not call between 9 p.m. and 8 a.m. except in an emergency.]

Teaching | Service | Research | Background | Odds and Ends

Timetables: Summer 2021, Fall 2021, Winter 2022

No doubt but magic may do much in this;
For he that reads but mathematic rules
Shall find conclusions that avail to work
Wonders that pass the common sense of men.

From Friar Bacon and Friar Bungay by Robert Greene.


Teaching

Teaching is the part of the job that turns me on. I like to teach everything in mathematics that I know enough about, and often give reading courses on topics not covered in our regular offerings.

Summer 2021

Mathematics 1120H - Calculus II: Integrals and Series
Mathematics 2350H - Linear algebra II: Vector Spaces [reading course]

Fall 2021

Mathematics 1110H - Calculus I: Limits, Derivatives, and Integrals
Mathematics 2200H - Mathematical Reasoning
Mathematics 3260H - Geometry II: Projective and Non-Euclidean Geometry
Mathematics 4903H - Reading Course on Computability

Winter 2022

Mathematics 1120H - Calculus II: Integrals and Series
Mathematics 3770H - Complex Analysis
Mathematics 3810H - Ancient and Classical Mathematics

Web pages for courses I have taught in recent years:

These pages have links to handouts, assignments, quizzes, tests, and exams for these courses, including previous iterations I taught, in some cases with solutions. Reading courses and fourth-year courses, except MATH-COIS 4215H, are not included because I do not usually create web pages for them.

Mathematics 1001H - Precalculus Mathematics [Summer 2016]
Mathematics - Communications & Critical Thinking 1080H - Mathematics for Everyday Life [Winter 2018]
Mathematics 1110H - Calculus I: Limits, Derivatives, and Integrals [Winter 2021]
Mathematics 1120H - Calculus II: Integrals and Series [Summer 2021]
Mathematics 1350H - Linear Algebra I: Matrix Algebra [Summer 2017]
Mathematics 1550H - Introduction to Probability [Summer 2020]
Mathematics 2200H - Mathematical Reasoning [Fall 2020]
Mathematics 2260H - Geometry I: Euclidean Geometry [Winter 2021]
Mathematics 3200H - Number Theory [Fall 2015]
Mathematics 3260H - Geometry II: Projective and Non-Euclidean Geometry [Fall 2019]
Mathematics 3700H - Metric Geometry and Topology [Fall 2014]
Mathematics 3790H - Analysis I: Introduction to Analysis [Winter 2015]
Mathematics 3810H - Ancient and Classical Mathematics [Winter 2020]
Mathematics 3820H - Mathematics from Medieval to Modern Times [Fall 2020]
Mathematics - Computer Science 4215H - Mathematical Logic [Winter 2021]

Reading courses

I often teach reading courses. In some cases these are regular courses for students who are unable to take them when they are offered in the normal course of events, need them to graduate, or the like, in other cases they are on material outside our usual curriculum. Please note that the availability of reading courses may be limited by students' backgrounds, my background, the time and energy I have to spare, and approval by higher authorities.

Recent regular courses as reading courses:
Mathematics 1350H - Linear Algebra I: Matrix Algebra [Winter 2017]
Mathematics 1550H - Introduction to Probability [Fall 2019]
Mathematics 2110H - Calculus III: Calculus of Several Variables [Summer 2020]
Mathematics 2120H - Calculus IV: Vector Calculus [Summer 2020]
Mathematics 2200H - Mathematical Reasoning [Summer 2017]
Mathematics 2350H - Linear algebra II: Vector Spaces [Summer 2021]
Mathematics - Computing & Information Systems 2600H - Discrete Structures [Fall 2018]
Mathematics 3200H - Number Theory [Fall 2020]
Mathematics 3700H - Metric Geometry and Topology [Summer 2016]
Mathematics - Computing & Information Systems 4215H - Mathematical Logic [Winter 2020]

Recent reading courses on special topics:
Mathematics 3901H - Reading Course in Set Theory [Winter 2019]
Mathematics 4900Y - Reading Course in Calculus on Manifolds [2018-2019]
Mathematics 4900Y - Reading Course on C*-Algebras [Summer 2020]
Mathematics 4903H - Reading Course on Computability [Fall 2021]
Mathematics 4903H - Reading Course on Colouring Steiner Systems [Fall 2017]
Mathematics 4904H - Reading Course in Measure Theory [Winter 2018]
Mathematics 4904H - Reading Course on Representations and Properties of Trees [Summer 2018]
Mathematics 4904H - Reading Course on the Apollonian Problem [Summer 2020]

Texts

Some things I've written or compiled:

Service

Research

My interests are in combinatorial set theory, particularly problems about Souslin trees, and in geometry, on non-Desarguesian projective planes. I've also worked a bit on binary codes.

Background

Born a Canadian citizen in München, Deutschland, in 1961, and raised in Toronto, Canada, from 1962 on, except for a year (1971-72) in Innsbruck, Österreich. B.Sc. (1984), University of Toronto; A.M. (1986), Ph.D. (1989), Dartmouth College. NSERC Postdoctoral Fellowship: 1989-90 at the University of California, Berkeley, and 1990-91 at the University of Toronto. Assistant Professor at Trent University 1991-98 (with tenure from 1995); Associate Professor from 1998. Visiting Adjunct Assistant Professor at Ohio University while on sabbatical in 1995-96.

Odds and Ends


[Math logo]Department of Mathematics  [Trent crest]Trent University

Maintained by Stefan Bilaniuk. Last updated 2021-09-09.