MAT320/640 LECTURE 24 (11/29/2021): PROPERTIES OF INTEGRALS, DOMINATED CONVERGENCE





Announcements: Today we continue our discussion of integrals. As always, if you have questions about the material, please drop by Zoom office hours or send me an email!


• Video 1: Recalling definitions about integrals from last class. Download file or watch below


• Video 2: Monotonic functions are integrable. Download file or watch below


• Video 3: Continuous functions are integrable. Download file or watch below


• Video 4: Some properties of integrals. Download file or watch below


• Video 5: Interchanging limits and integration, and the Dominated Convergence Theorem. Download file or watch below




• Lecture Notes (static file from above video): PDF file





Last updated: Nov 29, 2021, 12:30pm EST