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

       
                                                        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 (!).