The first Nordic mathematics competition for university students was
arranged in the beginning of 2007. The participants in this team-based
competition should be Bachelor's or Master's level students in Nordic universities.
Faculty in these universities are asked to encourage and support the
participation of able students. There is no fee for participation, but teams are
required to pre-register. Details can be found in the competition rules.

Participating teams will solve a set of mathematical problems at their own institutions
during one week's time and submit the solutions by e-mail. The level of the problems will
be chosen so as to provide even the most able of students with sufficient challenge.
For an appreciation of the kind of problems possible we recommend you to have a look
at the problems from the International Mathematics Competition
for University Students.

**Corrections**

Problem 10: C^{(i)} are matrices over F_2, not F_{2^n}.
**Clarifications**

Problem 1: x and y are distinct points in X. "Midpoint normal" means the
normal, which goes through the midpoint.

Problem 2: non-degenerate means that the side-lengths are greater than 0 and that
angles at the vertices are not 0 or pi.

Problem 3: You can assume that xy > 0 to avoid the problem with the definition of the
function 0/0.

Problem 10: The dot in \beta_i \cdot \beta_j is just multiplication.

#### Schedule

March 7th, 2007: Dead-line for submitting of problems to the jury

March 19th, 2007: Problems available on the competition web-site

March 26th, 2007: Dead-line for submitting solutions

Updated: April 3rd, 2007