Math 551.01 (old Math 351) Real Variables 1 

Instructor          K. Chris Ciesielski 
Office              308G Armstrong Hall
Phone               293 2011 Ext. 2337
E-mail              K_Cies@math.wvu.edu

Classes meet        M,W,F 9:30-10:20 in 313 Armstrong Hall

TEXTBOOK:           Real Analysis, third edition,  H. L. Royden,
                    MacMillan Publishing Company, New York.
      
TENTATIVE           Homework                       30%
GRADING SCHEME:     Mid Term Test                  30%
                    Comprehensive Final Test       40%


Prerequisites:      Math 251 (currently 451) Introduction to Real Analysis 

HOMEWORK            will be a very important part of this course. 
                    I will be assigning many exercises, 
                    especially at the beginning of the course,
                    to keep the constant flow of information of students
                    level of understanding the material. 
                    The exercises causing problems will be solved
                    either in class or in the handouts. 


COVERED MATERIAL    I plan to cover first six chapters from the text.
                    This includes 
                    Ch. 1: Set Theory; and Ch. 2: The Real Number System
                    which I considered as covered by prerequisite course.
                    Thus, I will try to cover this part relatively fast.
                    (The speed will depend of class homework performance.)

                    Chapters 3-6 (Lebesgue Measure, The Lebesgue Integral,
                    Differentiation and Integration, The Classical Banach Spaces)
                    will constitute the main part of the course.


TESTS FORMAT        I plan to give you "semi-take-home" exams.
(TENTATIVE)         I mean by it that few days before I will give you
                    you a set of 5-10 exercises from which I will choose
                    3-5 exercises for IN CLASS test.
                    You will be NOT ALLOWED to use your notes during the test.
                    Moreover, each test may also contain few theoretical
                    question in form of: 
                    - define a notion;
                    - state a given theorem; or
                    - sketch the proof of a given theorem.