20 problems.
- A monotone increasing function has at most countably many jump discontinuities — Problem 1
- Uniformly convergent subsequence of indefinite integrals — Problem 2
- Local fourth roots of matrices near the identity — Problem 3
- Evaluate a Poisson-kernel-type trigonometric integral — Problem 4
- A contour integral involving the squared modulus of a polynomial — Problem 5
- Solve a first-order linear differential equation — Problem 6
- Left and right cosets and a nonnormal subgroup of the square group — Problem 7
- Characteristic polynomial and Jordan form of the all-ones matrix — Problem 8
- Orthogonality-preserving linear maps are scalar-unitary — Problem 9
- Count homomorphisms from \(C_2\times C_2\) to \(S_3\) — Problem 10
- Vanishing partial derivatives force constancy on a connected open set — Problem 11
- Vanishing limiting partial derivatives imply differentiability at the origin — Problem 12
- Exact vector fields on the plane and the angular-form obstruction — Problem 13
- Construct conformal maps between disks, half-planes, and sectors — Problem 14
- Determine the derivative from an extremal modulus value — Problem 15
- Determine similarity among six real matrices — Problem 16
- Automorphisms of the additive group of the rationals — Problem 17
- Finite multiplicative subgroups of the complex numbers are cyclic — Problem 18
- Express the inverse of a matrix as a polynomial in the matrix — Problem 19
- Eigenvalues of a compact family of matrices form a compact set — Problem 20