The Department of Mathematical Sciences offers an Honours Bachelor of Science and and an Honours Bachelor of Arts.
As a requirement for an Honours Degree in mathematics, students are required to take Math 4301 (Honours Seminar). Starting in 2010, all students who wish to graduate with an Honours Degree in mathematics are required to write a project on a topic of mathematics.
Compiled below is a list of resources for students in this program. Students in other programs may also find this list useful.
LaTeX ResourcesAs part of this course, you will learn how to use LaTeX, a typesetting program for mathematics. Here are some resources for you:
- LaTeX Introduction Handout (a brief introduction to LaTex)
- LaTeX Homepage (including instructions on downloading and installing LaTeX)
- LaTeX Wikipage
- ShareLaTeX Videos A number of excellent tutorials.
- Sample files for you to play with (the best way to learn):
- Beamer Wikipage
Here are LaTex templates that you should use for your honours projects.
- Project Template |LaTeX file|pdf file|
- Beamer Talk Template |LaTeX file|pdf file|
- When compiling a LaTeX file that uses the Beamer class, you need to compile it as a PDF document.
Math Writing Resources
Here's some information to help you with your math writing.
- Guide to Writing Proofs
A handout on writing proofs by Adam Van Tuyl.
- A guide to writing proofs
A nice short guide to writing mathematics by Kevin P. Lee.
- Mathematical Writing
A very detailed (but interesting) discussion on mathematical writing, by Knuth, et al.
Math Talks ResourcesHere's some information to help you with your math talks:
- The Do's and Don'ts of Giving a Math Talk
The slides from Adam Van Tuyl's presentation.
- How to talk mathematics -- A classic article by P.R. Halmos, a well-known mathematician: https://faculty.washington.edu/heagerty/Courses/b572/public/HalmosHowToTalk.pdf
- Beamer Tutorial
A talk on how to use Beamer.
Online Math ResourcesSince you will need to hunt out your own resources, here's how to find information.
- MathSciNet This is a mathematician's favourite tool! You need to be on campus to access this one. You can access it at home, but you need to go through the library.
- Math arXiv PrePrint Server Preprints of papers, freely available. Since these papers haven't been referred, treat with caution (many are fine, but there are incorrect papers on the arXiv).
- Google Scholar A good source of information, but lots of "noise". For math, MathSciNet is better.
- If you are looking for a research topic, you may want to check out the following journals:
- Student Mathematical Library The American Mathematical Society has put together a nice series of books on topics accessible to advanced undergraduates. Lakehead's library has many of these books.
- Springer Link is a publisher of advanced math books. Many of the books you can download free through Lakehead's library, or buy a print-on-demand copy for cheap ($25).
- Still stuck finding a topic? You can always browse the list of Mathematics Topics on Wikipedia to get you going.
Past Students and Projects
Below are a list of recent graduates, and where available, a copy of their project.
|2018||David Breadner||Dr. G. Lee||An Analysis of Semisimple Group Rings and Integral Group Rings|
|2018||Nicholas Burke||Dr. Y. Chen||Metropolis, Metropolis-Hastings and Gibbs Sampling Algorithms|
|2018||Ian Friesen||Dr. A.J. Dean||An Investigation of Fractals and Fractal Dimension|
|2018||Huanyu Jia||Dr. L. Liu||Newton-Raphson Method and Arithmetic Mean Method for Solving System of Nonlinear Equation|
|2018||Peter McKitrick||Dr. G. Lee||Lie Nilpotence Conditions on Group Rings Over Fields|
|2018||Wilson Poulter||Dr. M.G. Viola||Knot Theory and the Jones Polynomial|
|2017||Jerika Baldin||Dr. C. Chlevovec||The Perron-Frobenius Theorem and its Application to Popular Dynamics|
|2017||Nicholas Dinshaw||Dr. T. Miao||Fourier Series|
|2017||Justin Kulp||Dr. A.J. Dean||Representation Theory and Quantum Mechanics|
|2017||Jeff Nielsen||Dr. Monica Ilie||An Introduction to Compact Operators|
|2017||Zhenghui Li||Dr. Deli Li||Branching Processes and Applications in Macroeconomy|
|2017||Christopher Syposz||Dr. W. Huang||Better Vision with Math: the Power of Factorial Experiments|
Dr. R. Anisca
Dr. G. Lee
Units in Group Rings
Dr. D. Li
The Law of Large Numbers and Its Applications
Dr. M. Ilie
An Introduction to Topological Groups
Dr. M. Ilie
Linear Functional Analysis
Dr. F. Ting
Some Mathematical Models of Cancer Tumours
Dr. R. Anisca
The Distribution of Prime Numbers and Its Applications
Dr. W. Huang
Markov Chains and Its Applications to Golf
Dr. F. Ting
Pricing of Options
Dr. Y. Chen
Game Theory and Nash Equilibrium
Central Limit Theorem and its Applications
Group Theory and the Rubik's Cube
A Glimpse into Topology
The Free Central Limit Theorem: a Combinatorial Approach
Poisson Process and applications in hockey
Grobner Bases: ideal membership and graph colouring
Some methods of primality testing
Pathological real-valued continuous functions
Hilbert''s Tenth Problem
Numerical methods for solving systems of non-linear equations
Minimal Surfaces and Soap Films
The Pricing of Options Using the Black-Scholes Model
The Study of Discrete-Time Markov Chains
Generating and Assessing Methods used in Medical Mathematics
A. Van Tuyl
Mutually Orthogonal Latin Squares and their applications
Seifert Matrices and the Alexander Polynomial
ZFC Set theory and the Banach-Tarski paradox
Multiple Linear Regression
Statistical analysis in social research: significance testing and measures of associations
Four formulas for Pi and some remarkable limits
The Connection among prime numbers and natural logarithms
Topological Groups and the Haar Measure