MATS111 Measure and Integration Theory 1 (5 cr)

Lebesgue measure and measurable sets, Lebesgue integral and integrable functions, the connection between Lebesgue integral and Riemann integral, convergence theorems, absolutely continuous functions.

After the course one is able

• to define Lebesgue measure and integral
• to study integrability of a function
• to establish and employ basic properties of Lebesgue measure
• to state, prove, and apply the most important convergence theorems 
• to explain the relations between Lebesgue and Riemann integrals

Introduction to mathematical analysis 3, Vector calculus 2, Vector analysis 1

Luentomoniste