Mathematics 309MT - Topics in Analysis: 'Measure Theory'

Many problems such as calculating the area of a surface, volume of a geometric shape, expected return from an investment and even solutions to differential equations all essentially reduce to being able to "measure" various objects, in other words, integrate various functions. Students in math, statistics, and other fields like economics will often encounter measure-theoretic language in their post-graduate work in academia and in industry. We will primarily focus on the theory of Lebesgue measure on the real line. Some topics may include the extended real number system, outer measure, measurable sets, measurable functions, Lebesgue integration and modes of convergence, and time permitting, abstract measure spaces and L^p spaces.

Prereq: MATH-301.