6 problems.
- Evaluating and negating compound logical statements
- The identity \(\sum_{m=k}^n\binom{m}{k}=\binom{n+1}{k+1}\)
- Composition of surjections is surjective, but the converse fails
- \(\delta\)-\(\varepsilon\) definition of a limit, and \(\lim_{x\to 1} 1/(1+x^2)=1/2\)
- The line integral \(\int_\Delta y\,dx+2x\,dy\)
- Examples: an integral with a corner, a series with divergent squares, and a basis of a subspace of \(\mathcal{P}_3\)