Math 444 - 201, 2020WT2, Jan-Apr 2021
Mathematical Research and Writing
Announcements will be posted from time to time on Canvas. Please
- The course syllabus is available here.
- All submissions will be typeset in *12 pt font* - and from
Week 4 onwards in LaTeX.
- Links to Overleaf,
Detexify and a free online LaTeX manual. The
links to Overleaf, Detexify and the online LaTeX manual are at
the bottom of the page under handouts too.
Lecturer: S van
Willigenburg, office: N/A, tel: N/A, email: email@example.com
Location: TuTh 9.30-11.00 on Zoom
Web page: on Canvas
Office hours: Mon 10-11am, Thur 5-6pm, 30 mins just after class, and
by appointment (not Wednesday). You can also email me anytime.
This is a very discussion based course, so real-time attendance
is needed by students.
This is for students who would like an introduction to mathematical
research, and are interested in exploring mathematics
constructively. It is suitable for students who would like to
further develop their critical thinking skills independently. In
addition presentation skills and ability to professionally typeset
mathematics will be developed.
Prerequisite is one of MATH 220, MATH 226 and 6 credits of MATH
courses numbered 300 or higher.
Your grade will be based on
Due to the intense workload of the course no extensions will be
given, late Canvas submissions are not permitted, and late
non-Canvas submissions will be subject to a 50% per day penalty.
- Class participation and peer feedback (5%)
- Homework (10%)
- Research journal (10%)
- Presentations (30%)
- Project (45%).
Working together and academic misconduct
Homework: We have no objection to collaboration on the homework,
provided that it is done in a way that maximizes the benefit of the
homework to all people involved. It is our experience that you get
- maximum benefit from a homework problem if you work hard on it
alone before combining your ideas with someone else's,
Regardless of whether you arrive at solutions in collaboration with
others or alone, the paper that you turn in with your name on it
should represent your own solutions, written in your own words.
- no benefit from one person just telling another how to do a
In particular, you may not simply copy someone else's homework
and turn it in as your own. Similarly, copying solutions
that you might find on the web or from some other source is
illegal. The same applies to every result at every stage of
These will all be treated as academic
misconduct. We take all academic misconduct very
seriously and will follow university procedures in all cases - disciplinary
measures can result in expulsion.
Please do the following to create the best learning experience
for us all. Thank you.
- Use your web cam - because this creates a better learning
experience when we can all see each other. You can turn it off
for a bit if needed, and it is courteous to let us know if it
will be for a long period of time.
- Mute your microphone when not speaking - because this
minimizes distracting background noise.
- Use Zoom chat for class material only - because this minimizes
- If you have a question then please ask so the whole class may
Homework (due Thursday 9.30am pdf via Canvas)
There will be weekly homework assignments due on Thursdays on Canvas
as a pdf, which will augment the techniques learned in class or give
an opportunity to explore mathematical research further.
Homework solutions should be typed up using good English, complete
sentences, and full details. Questions should be answered in order,
with your name and student number on at least the front page.
Solutions will be posted when the homework is
returned, if appropriate.
Research Journal (due Friday 11.59am pdf via email)
You will email a weekly 1-2 page written account of your research directly
Label the file preferredname_surnameinitial_Journalx.pdf.
Put your name and student number at the top of the
document will have 3 sections with the following headings.
- What you did.
- Why you did it.
- What obstacles you encountered, and your research plan for the
You will update the class on your progress throughout the term. More
details are here.
- Week starting March 9 Project introduction (10
marks): You will motivate your project and explain what you will
be investigating. Plus teach the class definitions illustrated
by examples, which are necessary for your research.
- Week starting March 23 Project presentation (20
marks): You will give a lecture covering the points below.
- Briefly recall some motivation for your project.
- Give relevant definitions and examples so that you can do
- State and prove at least one theorem from your project.
sheet and list of potential
Here are some more study materials I found to help, or might be
Resources on learning
Resources on writing
Resources on Latex
Resources for group meetings, collaborating, and keeping in
Other useful links