This course is a continuation of MATH 302 with a treatment of real analysis focusing on the theory of integration. We will see why Riemann integration is supplanted by Lebesgue integration, and how different metrics on function space yield different topological structures. Topics in this course will include the convergence of series of functions, summation tests, the Monotone Convergence Theorem, the Dominated Convergence Theorem, and Fatou's Lemma. If there is time, we will also study the theory of Fourier transforms.

Units: 1

Max Enrollment: 15

Prerequisites: MATH 302.

Distribution Requirements: MM - Mathematical Modeling and Problem Solving

Typical Periods Offered: Spring

Semesters Offered this Academic Year: Not Offered; Spring