Problem sets and presentation topics

Presentations:

Here you will be able to practice your presentation skills and the clarity in which you expose mathematics problems. The presentation should last 30 minutes and you should plan it so that it leaves enough time for participation of the other people in the audience, like the one that you would do to your students in the future, explaining them any math topic (which can range from High-School level to a more advanced Calculus course). If there is a topic, not in this list, that it is more of your interest, I am open to talk about it.
Remember that the focus in this course relies more in the exposition of the material rather than its difficulty. Whenever you decide for a topic, please let me know either via email or in person.

Here there are some suggestions for the presentations:

1. Arithmetic of the Complex Numbers.
2. Geometric Interpretation of the Complex Numbers.
3. The Axiom of Choice.
4. Solution to polynomial equations.
5. Computing integrals.
6. The Chain Rule.
7. Geometric solution of the quadratic equation.
8. History of pi.
9. The Fibonacci sequence.
10. The power set and the Natural numbers.
11. Groups and rings.
12. The Euclidean algorithm.
13. Euclidean domains.
14. Matrices. Solutions to linear systems.