18 problems.
- A compact-space isometry is surjective — Problem 1A
- Number of Sylow \(67\)-subgroups of a group of order \(2010\) — Problem 2A
- Entire functions with \(\abs{f(z)}\le\abs{z}^2\) — Problem 3A
- Invertibility of a sum of commuting finite-order matrices — Problem 4A
- Solutions of \(y'=2^y-1/x\) with \(y(1)\ge0\) increase on \([1,b)\) — Problem 5A
- Number of subfields of the splitting field of \(x^5-2\) over \(\QQ\) — Problem 6A
- Evaluation of \(\int_0^\infty\frac{x\sin 2x}{x^2+3}\,dx\) by residues — Problem 7A
- Characteristic polynomial of an invariant-subspace restriction — Problem 8A
- Solutions of \(xy'+y=x\) for \(x>0\) — Problem 9A
- Uniform convergence and mean value of \(\sum_{n\ge0} e^{i\sqrt n\,x}/(n^2+1)\) — Problem 1B
- Simplicity of a full matrix ring — Problem 2B
- Zeros of \(z^7+e^z\) in the upper half of the disk \(\abs{z}<2\) — Problem 3B
- Four diagonalizability assertions for matrices — Problem 4B
- Vanishing high moments force a continuous function to vanish — Problem 5B
- Last decimal digit of \(7^{7^{7^7}}\) — Problem 6B
- Residues of \(\cot z/z^2\) and the Basel sum \(\sum_{n\ge1}1/n^2\) — Problem 7B
- A Hermitian matrix with \(A^5+A=2I\) is the identity — Problem 8B
- Ramsey bound \(R(m+1,n+1)\le\binom{m+n}{m}\) — Problem 9B