10 problems.
- A continuous function on a compact set attains its maximum
- Rearrange the alternating harmonic series to any prescribed real sum
- Uniform limits of continuous functions are continuous
- Binary sequences are uncountable
- Equality of mixed partial derivatives under continuity hypotheses
- Direct local surjectivity from an identity derivative
- Annihilator of an image and rank of the transpose
- Matrix of a composition of a spatial rotation and reflection
- Diagonalizability of a real symmetric matrix without the spectral theorem
- Eigenvectors for distinct eigenvalues are linearly independent