Prove formulas just using mathematical induction, one of the most important things in number theory
About modules, reminders and a lot of prime numbers
Combinatorical problems based on real life situations on a easy-mid difficulty to start understanding the basis this subject.
Integrals, derivatives, limits and sums that involve trigonometric functions from easy things to more difficult ones.
An introduction to the rigorous proof world, where the result must be formal and strict, but with easy things to proof, such us basic properties or maybe mos complicated things