8 problems.
- Negation of a mixed-quantifier statement and a flawed inductive characterization
- Continuity of a composition \(g\circ f\) at a point
- Definition of series convergence, and \(\sum 1/10^n\) converges
- The \(2\times 2\) matrix sending \((1,2)\) to \((5,-6)\) and \((0,1)\) to \((1,-1)\) is not diagonalizable
- A finite spanning set in \(\RR^n\) contains a basis of its span
- Cubic formula for the roots of \(x^3-3x+2\)
- Permutations, combinations, and the number of injections from a \(k\)-set to an \(n\)-set
- Cauchy integral formula for \(\oint_\gamma z^2/(z-i)\,dz\) on a circle about \(i\)