Math 523
Honors Introd. to Modern Analysis
Class Nbr. 76952 -- Fall
2018
Prof. Andrea R. Nahmod
Lectures : Tuesdays and
Thursdays 10:00am- 11:15am in LGRT 177
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, 2, parts of 3 and 4, 5 and 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-2:30pm and by
appointment in LGRT # 1338 (my office).
Email me 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 October 9th since it is a `Monday
schedule' (Monday Oct. 8th is Columbus Day, a holiday).
(2)
Review
for Midterm Exam Tuesday November 13th ( Time and place TBA via
email).
(3) Midterm Exam Thursday November 15th
6:30PM--8:30PM (place TBA via email).
(4) Final Exam: Turn in Projects I,II, III, IV, V
typed no later than
12:30PM Friday 12/14/18
in LGRT 1338.
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 (!).