Math 304
Permutation Puzzles: A Mathematical Perspective
Welcome
This is the course webpage for Math304, Department of Mathematics, Simon Fraser University. Spring 2027.
| Lectures: | ||
|---|---|---|
| day TBA | time TBA | in-person |
| Tutorials: | ||
| day TBA | time TBA | in-person |
| day TBA | time TBA | in-person |
Instructors
| Dr. Jamie Mulholland | |
|---|---|
| email: | j_mulholland@sfu.ca |
| office: | SC K10541 |
| office hrs: |
TBA or by appointment |
| Teaching Assistant - TBA | |
|---|---|
| office hrs: |
TBA |
About This Course
In this course we will investigate Rubik's cube, the 15-puzzle, TopSpin, and other permutation puzzles. Our goal is to understand theses from a mathematical viewpoint; we will come up with solvability criteria (i.e. the ability to look at a mixed up puzzle and know if it is solvable or if someone is playing a trick on you and reassembled the puzzle in such a way that it cannot be solved), and we will investigate solution strategies.
This course is particularly suited for students doing a minor's degree in Mathematics.
Math majors are encouraged to take Math341: Algebra III Group Theory instead of Math301.
What Will You Learn In This Course?
A list of course level learning outcomes is available in the course outline.
Course Content - The Big Picture:
(click image to enlarge)
Prerequisites:
Integral Calculus (Math 152 or 155 or 158) and Linear Algebra (Math 232 or 240). Previous computing experience is not required, but can be helpful if you have it.
Grading Scheme:
| Assignments | 30% |
| Midterm 1 | 25% |
| Midterm 2 | 25% |
| Final/Poster | 20% |
Important Dates:
| Midterm 1 | date TBA |
| Midterm 2 | date TBA |
| Final Project (info) | TBA |