Introduction to Analysis (Math 341) Spring 2020
General Information
Instructor: Vyron Vellis (vvellis "AT" utk "DOT" edu), Ayres Hall 253
Lecture: MWF 11:15 AM - 12:05 PM in AYR G003
Office Hours: MW 12:10-1:10 PM and Th 9-11 AM
Topics: Introduction to the theory of functions of one and several real variables. A rigorous introduction to the real numbers, sequences in ℝ, numerical series, continuity, the derivative, sequences and series of functions, and the Riemann integral. This course assumes that students are already familiar with writing mathematical proofs (e.g. having taken Math 300).
Prerequisite: MATH 241 or 247; MATH 300 or 307.
Syllabus: Syllabus
Textbook:
Prof. Michael Frazier's lecture notes.
Matthew A. Pons Real analysis for the undergraduate. With an invitation to functional analysis. Springer, 2014 (suggested).
Kenneth A. Ross Elementary Analysis: The Theory of Calculus. Springer, 2013 (suggested).