Teaching materials Óscar Rivero

TEACHING

COURSES TAUGHT AT WARWICK UNIVERSITY

Iwasawa theory (Fall 2021). TCC course (16 hours course for graduate students at Warwick, Oxford, Imperial, Bath and Bristol).

TEACHING ACTIVITY DURING MY PHD (At UPC-BarcelonaTECH)

Integral Calculus (Fall 2020, problem sessions, 30 hours). 2nd course, Bachelor in Mathematics.
Real Analysis (Spring 2020, problem sessions, 30 hours). 2nd course, Bachelor in Mathematics.
Differential Calculus (Spring 2020, problem sessions, 30 hours). 1st course, Bachelor in Mathematics.
Complex Analysis (Spring 2019, problem sessions, 30 hours). 2nd course, Bachelor in Mathematics.

Between January 2017 and December 2018, I was the responsible of the Problem Workshop from the Faculty of Mathematics, addressed to answer doubts and questions from 1st year students (similar to TA in the anglosaxon system).

I have supervised 3 bachelor thesis (UPC) and a 4th year project (Warwick).

-> Lewis Howard (academic year 21-22): Ribet's lemma.

-> Marta Altarriba (Spring 2019): La conjectura de Sato-Tate (On the Sato--Tate conjecture).

-> Andreu Tomas (Spring 2019): Mock modular forms.

-> Carles Checa (Spring 2018): Una aproximació a la teoria de cossos de classe (An approximation to class field theory).

I sometimes collaborate with the training for the Mathematical Olympiad. In the past I wrote some training materials, that you can find here (mainly in Spanish). I hope to post them once I have time to write them in a more suitable way!

Here you have some miscellaneous materials of other courses I have taught in the past:

Book (in Catalan). Una introducció a l'anàlisi real. 100 problemes resolts. Amb S. Boza i J. Rué.

Alguns problemes resolts de Càlcul Integral. Aquí.
Alguns problemes resolts de Càlcul Diferencial. Aquí.
Classe d'aplicacions del càlcul de primitives (C1V; FME, 3/12). Aquí. Classes de càlcul de primitive (C1V; FME, 23/11 i 30/11). Solucions primitives. Aquí.
Class from Maths Foundations: Introduction to arithmetics. Here.
In April 2017 I taught the course Basics of statistics at Harbour Space (Barcelona). It was a 60 hours course who tried to give mathematical tools from probability and statistics to economists and businessmen. Here you can find the syllabus, some short notes (summaries), the list of problems and assignments (with solutions) as well as the exams and quizzes.
I once wrote (in Spanish) some detailed notes about the proof of the inverse function theorem that I explained to students of the first year. Here.
I am interested in politics and the analysis of different electoral systems. Here some comments about the last Spanish elections (in Spanish).