18 problems.
- Decaying solutions of \(y'''=y\) — Problem 1A
- Solutions of autonomous ODEs \(y'=f(y)\) are monotone — Problem 2A
- Sup-norm bound \(\max|f|\le\frac18\max|f''|\) with zero boundary values — Problem 3A
- Evaluation of \(\int_{-\infty}^\infty x\sin x/(1+x^2)^2\,dx\) — Problem 4A
- Roots of \(e^z=3z^6\) in the upper half of the unit disk — Problem 5A
- Invertible matrices with \(YX=aXY\) exist iff \(a^n=1\) — Problem 6A
- Complex matrices with \(A^{37}=I\) are diagonalizable — Problem 7A
- The elementary symmetric polynomial map on \(\CC^3\) is surjective but not injective — Problem 8A
- For fast-growing \(f\), the sum \(\sum 1/f(n)\) avoids a given countable set — Problem 9A
- Evaluation of \(\int_0^{\pi/2}\sin x\cos x/(\sin^4x+\cos^4x)\,dx\) — Problem 1B
- Gaussian integral via \(F(t)^2+G(t)\) constant — Problem 2B
- Convergence of the iteration \(x_{n+1}=1/(1+x_n)\) — Problem 3B
- Bound on the zeros of a monic complex polynomial — Problem 4B
- Coefficient bounds for analytic \(f\) with \(|f(z)|<1/(1-|z|)\) — Problem 5B
- Moore determinant over \(\ZZ/2\) — Problem 6B
- Conjugacy in \(\GL_2^+(\RR)\) versus \(\GL_2(\RR)\) — Problem 7B
- Boolean rings are commutative of characteristic 2 — Problem 8B
- Square roots in \(S_6\) of elements of \(A_6\) — Problem 9B