Students completing this course with success must be able to:

1. Identify and understand the fundamental concepts and results on measure theory;
2. Understand the construction of the Lebesgue integral;
3. Identify the main differences between the Lebesgue and Riemann integrals;
4. Understand the relation between the Lebesgue and Riemann integrals in higher dimensional spaces;
5. Understand the relation between measures and integrals;
6. Recognise the functional spaces commonly used in applications and the fundamental results on integration;
7. Extend and place the ideas of probability theory in abstract spaces.

Curricular Unit Form