Mathematics

Objectives

The goal of this course is to present some mathematical tools and the results that will be used throughout the PhD courses. 

 

General characterization

Code

6301

Credits

7

Responsible teacher

TBA

Hours

Weekly - Available soon

Total - Available soon

Teaching language

English

Prerequisites

n/a 


Bibliography

TBA 


Teaching method

The teaching method is connected to the evaluation method. Both promotes students’ ability to learn promoting research capacity.


Evaluation method

Midterm 40%

Final Exam 40%

Problem set 20% 

Subject matter

Introduction to topology

Metric spaces

Continuity, convergence, separability and completeness

Contractions, compactness and connectedness

Correspondences and the maximum theorem

 Fixed-point theorems of Brouwer and Kakutani

Elements of measure and integration theory 


Programs

Programs where the course is taught: