The exam will cover Chapters 4, 5 and 6.
| Results to reproduce | |
| 4.2 | Cauchy Schwartz |
| 4.9 | N-dimensional Bolzano-Weierstrass |
| 5.1 | f(x) converges to L iff f(xn) converges to L |
| 5.2 | Limit of af(x) + bg(x): both proofs |
| 5.11 | Power series are continuous |
| 5.12 | Extreme value theorem |
| 5.13 | Intermediate value theorem |
| 6.4 | Chain rule |
| 6.4 | Power series are differentiable |
| 6.6 | Mean Value Theorem |