Research
Projects:
Are you interested in starting a new research project in Mathematics?
Below we have several research proposals. The starting point
of each project is one of the "Problems of the Week".
Then the level of difficulty depends on the student's interest
and ability. The final report difficulty can vary and can be
used for different pourposes:

 A
presentation for the CSUN Math club
 The
topic for a reading course

The creation of a poster that can be presented in a local
or national MAA meeting

Participation in the CSUN Research Symposium with a poster
or oral presentation
 A
Master thesis
 Even
a journal publication!


Please
look for a topic of your choice. Start by reviewing the solution(s)
to the corresponding Problem of the Week. Then try
the proposed related questions. Then contact us. Make an appointment
to talk about your particular needs and expectations for such
project. Should you continue with the project, we will advise
you, recommend readings, listen to your ideas and solutions,
etc. 
Spring
2004, Problem 1: Dividing a group into perfect squares.
Topic: Combinatorics. 
Fall
2004, Problem 10: A circular chain of dominos.
Topic:
Combinatorics. 
Spring
2004, Problem 2: The sum of a series.
Topic: Real Analysis. 
Fall
2004, Problem 12: The prime must be 3.
Topic:
Number Theory. 
Spring
2004, Problem 5: A polynomial with four real roots.
Topic:
Algebra and/or Real Analysis. 
Spring
2005, Problem 6: Covering dots.
Topic:
Combinatorial Geometry. 
Spring
2004, Problem 7: There is always a small triangle.
Topic:
Combinatorial Geometry. 
Spring
2005, Problem 9: 33 segments in a digital watch.
Topic:
Combinatorics. 
Fall
2004, Problem 3: The cubic root of a matrix.
Topic:
Linear Algebra. 
Fall
2005, Problem 3: Irrational numbers: It stays in the family!
Topic:
Combinatorial Number Theory. 
Fall
2004, Problem 8: Finding a function.
Topic:
Algebra (functional equations). 
Fall
2005, Problem 8: The "Rectangle" game.
Topic:
Game Theory. 
Fall
2004, Problem 9: A
triangular billiard table.
Topic:
Billiard Geometry.

Fall
2005, Problem 9: A property of 2005.
Topic:
Number Theory. 
