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Introduction to Real Analysis
Math 467
Spring 2011
Class Time
6:00 - 7:30 MW
Instructor:
E-mail:
Room
Swart 2
Dr. Syed Kamran Kazmi
[email protected]
Office: Swart 201
Phone: 424-1017
Office hours: MW: 2:30-4:00 (in my office S201),
T: 2:00-3:00 (in math tutoring lab S113),
or by appointment.
PREREQUISITES: Math 222 and Math 273 each with a grade of C or better.
TEXT: A Friendly Introduction to Analysis: Single and Multivariable, 2nd Edition, by Witold A. J.
Kosmala.
COURSE DESCRIPTION: In Real Analysis, we study the theory behind calculus, differential
equations, and probability. These topics are an essential foundation of graduate studies in science,
statistics, engineering, computer science, economics and business. In this course, we study the
fundamental concepts of analysis including properties of real numbers, sequences and series, continuity
and limits, differentiation and integration. An emphasis will be placed on abstract theory and methods of
proof. The main aim of this course is to develop the student's ability to construct and present rigorous
mathematical arguments.
We will cover selected topics from the following chapters of the text:
Chapter 1:
Chapter 2:
Chapter 3:
Chapter 4:
Chapter 5:
Chapter 6:
Chapter 7:
Chapter 8:
Introduction
Sequences
Limits of Functions
Continuity
Differentiation
Integration
Infinite Series
Sequences and Series of Functions
ATTENDANCE POLICY: Students are expected to attend class regularly, take an active part in class
discussions and do the assigned work. If you miss a class, you are responsible for all assignments and
announcements made on that day.
It is recommended that you read the sections to be covered in class before the lecture. You are responsible
for material covered in class as well as material from the text, which is assigned but not covered in class.
Lecture time is at a premium; you cannot be taught everything in class. It is your responsibility to learn
the material; the instructor's job is to guide you in your learning. You are also responsible to be aware
of any changes to the syllabus which may be announced in class.
EXAMS: There will be 3 exams. Dates of exams will be announced a week in advance.
HOMEWORK/ASSIGNMENTS: Homework/Assignments will be assigned regularly throughout the
semester. Doing problems is essential to succeed in this course. You are allowed to work together on
homework problems. Working together does not mean copying assignments from someone else. It means
discussing with each other ideas and techniques for solving problems. Students are expected to write up
the assignment in their own words. Homework will be regularly collected for grading.
GRADING:
Exam 1
Exam 2
Exam 3
HW/Assignments
Class Participation
20%
20%
20%
35%
5%
The final grade will be given according to the following scale:
Letter Grade
A
AB+
B
BC+
C
D+
D
%
92-100
90-91
87-89
82-86
80-81
77-79
70-76
67-69
60-66
D2L WEBSITE: D2L is the University’s system for online grade keeping and course management. I
will post your HW and exams grades on D2L. I will also place information about homework assignments
and exams there. You can access D2L by logging in at https://uwosh.courses.wisconsin.edu/.