Math 523 Honors Introd. to Modern
Analysis
Class Nbr. 56260 -- Fall 2012.
Prof. Andrea R. Nahmod
Lectures : Tuesdays and Thursdays
2:30pm- 3:45pm in LGRT 119
Book:
`Fundamental Ideas of Analysis' by Michael C. Reed. Publisher: Wiley (ISBN: 0471159964)
Syllabus: We will
work through the text, our goal being to cover most of Chapters 1–6.
The course serves as a more rigorous and in depth study of some
topics seen in calculus (eg. Sequences, The Riemann Integral,
Differentiation, Sequence of functions, Series of functions) and
goes further into ideas and methods of analysis that play a fundamental
role in differential equations, probability theory, numerical analysis,
differential geometry, etc.
Office Hours:
Wednesdays 1:00pm-3:00pm and
by appointment in LGRT # 1338 (my office).
Email me any time with
questions at nahmod at math dot umass dot edu
Telephone: (413) 545
6031 or simply Ext. 5-6031 from Campus.
Special Announcements:
(1) No class on Tuesday April 17th since it is a `Monday schedule'
(April 16th is Patriot's Day, a holiday).
(2)
Review for Midterm Exam Monday April 2, 4:30pm-7:30pm in LGRT 1334.
(3) Midterm
Exam Tuesday April 3rd, 5:30pm-7:30pm Room TBA
Assignments: Homework
and special projects will be assigned as appropriate and collected
regularly.
All assignments and their `due
dates' will be posted on this web page by clicking in
Some
Handouts:
Hints to Problem 12 section 1.1
Hints Problem
9 c) and d) section 1.3
Hints
for some Problems in section 2.1
Hint
Problem 5 (full) Section 2.2
Hints for
section 2.2 and 2.4
Hints
for Project I
Grading Policy. Your
grade will be based on:
- Homework and class participation
(subjectively given) (30% + 10%)
- One Midterm Exam ( 30%)
- A Final Exam (30%)
Some Important Remarks:
* Due to the amount of material to be
covered in this course the pace might be fast at times.
And since later sections depend on ideas covered earlier, it is
important not to fall behind.
* You are expected to read the sections we
will be covering in lecture before/after you
come to class. We will not have time to cover all the
examples from the text, but you are still expected to read the whole
section yourself and be familiar with it. You are always
welcome to discuss the material with me.
* Please let me know in advance of any special circumstances
which may prevent you from attending classes.
* Help each other out
and discuss difficulties, but do your own work
(!).