20 problems.
- Differentiate an integral with moving endpoints and parameter-dependent integrand
- Similarity of two \(3\times3\) matrices with characteristic polynomial \((x-1)^2(x-2)\) — Fall 1980 Problem 2; repeated exactly as Fall 1992 Problem 1
- Analytic interpolation at the points \(\pm1/n\)
- Stabilizers and a coset of half-turns in \(SO(3)\)
- Evaluate \(\int_0^\infty x^{m-1}/(1+x^n)\,dx\)
- Complex subrings of \(M_2(\mathbb R)\) and a matrix polynomial equation
- Fourier-series solution of \(f''+kf=g\)
- \(GL_2(\mathbb F_2)\) is isomorphic to \(S_3\)
- Distance from \(\operatorname{diag}(1,2)\) to the singular two-by-two matrices
- Local solvability of \(X^2+X^T=A\) near the zero matrix
- A boundary integral identity for the real part of a holomorphic function
- Classify groups of order \(6\)
- Basin of attraction of \(1/2\) for \(x\mapsto1/4+x-x^2\)
- Similarity representatives for integral two-by-two matrices with unit-circle spectrum
- A Lyapunov function for \(x''+x'+x^3=0\)
- A positive-semidefinite matrix anticommuting with another matrix annihilates it
- Pointwise convergence of uniformly bounded-degree polynomials is uniform
- Rouche count for solutions of \(f(z)=z^3\) in the unit disk
- A compact-space isometry is surjective — Fall 1980 Problem 19; compact-space isometry is surjective
- The unit group of a ring and the units of the Gaussian integers