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

       
                                                        HOMEWORK, etc.

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:

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 (!).