University of Massachusetts Boston

Department of Mathematics MA450 Real Analysis Spring 2019

Instructor: Prof. Alfred Noël

Office: 3-175 Science Building

Phone: (617)-287-6458

Email: Alfred.noel@umb.edu

Url : http://www.math.umb.edu/~anoel

Class hours : Monday, Wednesday 4:00 – 5:15 M-2- 213

Office hours: T, Th 2:30 PM - 3:50 PM

Text: Introduction to Analysis: Fifth Edition
Book Author: Edward D. Gaughan
ISBN Number: 978-0-8218-4787-9

``Real analysis is the branch of mathematics that both fills in the theoretical details of Calculus (which was

not rigorous when first invented), and generalizes Calculus to a variety of spaces. This course will develop

the standard introductory concepts of real analysis on the real number line, including limits, continuity,

derivatives, integrals, sequences and series. Many of these concepts, such as limits and continuity, are

useful in a variety of mathematical contexts beyond real analysis.’’ E. D. Bloch

Pre-Requisites: [MATH 310 or MATH 354] AND [MATH 280]

Material to be covered:

Chapters: 1 to 7.

Weekly Problem sets will be assigned. The student is expected to read the appropriate sections and to do all assigned exercises The student will find this course very difficult if he or she neglects the homework assignments. Homework assignments should be written in LaTeX.

Exams:

There will be a midterm exam and a final exam:

Midterm Exam : March 20

Final Exam (cumulative): during Final Week

Grading Procedure:

Homework 35%, Write-up in LaTex 10%, Midterm exam 25 %, Final exam 30%.

Homework assignments will be collected on the due date

If you miss more than three classes you will almost surely fail this course

THERE WILL BE NO MAKEUP EXAMS.