Math 44400: Foundations of Analysis I
     Class Number: 26406

Fall 2014: Meets 6:00p - 7:15p MW in LD 229

Final Exam: Wednesday, December 17    6:00p - 8:00p
Carl Cowen
    Office:  LD 224P
    E-mail:  ccowen "at" iupui "dot" edu
    Phone:   278-8846
    FAX:     274-3460

Office Hours:
   M 2:00 - 4:00, W 3:00 - 4:00, or by appointment


  • Syllabus for Math 44400
  • Link for William Trench's "Introduction to Real Analysis", FREE(!) download

  • 'A' List Problems (Second Version!)

  •      Class Schedule

    August 25     Read Syllabus Interview with Dr. Wolf, Tufts U. reading expert
    
       No Class Monday, September 1, Labor Day
    
    September 3   3rd: p 15: 2, 6, 11  p 21: 4, 11, 12 + problem from class
                  4th: p 15: 2, 6, 11  p 22: 4, 12, 13 + problem from class
             Reading: Read section "The Completeness Property" in the text.
             Send answers to the following to me by 3:00p 9/3/2014:
              What is the difference between an "upper bound" for a set of
                real numbers and the "supremum" of that set?  Give examples.
              What is the "greatest lower bound" of the set 
                   { 1/n : n is a positive integer}?
    September 10  3rd: p34: 3, 4, 6, 7, 14, 15, 16   p38: 3, 4, 5, 6, 8, 9 
                  4th: p35: 3, 4, 6, 7, 16, 17, 18   p39: 3, 4, 6, 7, 9, 10
    September 15  First Recitations: 2:00 - 4:00 (go to LD 224P, see note on door)
                                      and 7:30 - 8:30 (in classroom)
                  For Discussion: 3rd: p43: 4, 5   4th: p44: 4, 6
                       or any other topic from sections 2.4 or earlier
    September 17  3rd: p43: 2, 3, 6, 7, 8, 9, 10  p59: 1, 3, 4, 5
                  4th: p44: 2, 3, 7, 8, 9, 10, 11  p61: 1, 3, 4, 5
    September 22  Read Section 2.5 Reading Assignment 2
    September 24  3rd: p51: 12, 13, 14, 16, 17  p67: 7, 8, 9, 11
                  4th: p53: 12, 13, 14, 16, 17  p70: 7, 8, 9, 12
    October 1     Assignment for October 1
    October 8     Review day; No Assignment
    
    October 13    Test I on Sections 1.1 - 3.6
                   Test begins at 6:05p and ends at 7:25p 
                   No Books, No Notes, No Papers, No Machines, No Phones, ... 
    
    October 15    3rd: p 95: 3, 4,  7,  8,  9, 10
                  4th: p101: 3, 4, 10, 11, 12, 13
    October 22    Read Section 4.1 Reading Assignment 3
                  3rd:  p104: 1, 4, 5, 9
                  4th:  p110: 1, 4, 5, 9
    November 3    Mini-Test Ia on Definitions (6:50 - 7:20p)
    November 5    3rd:  p129: 8, 9, 10, 11  p135: 1, 2, 3, 4, 5
                  4th:  p134: 8, 9, 10, 11  p140: 1, 2, 3, 4, 5
    November 12   3rd:  p135: 6, 7, 12  p144: 1, 4, 7, 8, 11
                  4th:  p140: 6, 7, 12  p148: 1, 4, 7, 8, 11
    November 19   For Discussion: 3rd: p155: 2, 3, 4, 8
                                  4th: p160: 2, 3, 4, 8
    
    November 24    Test II on Sections 4.1, 4.2, 5.1, 5.2, 5.3, 5.4, and 5.6
                   Test begins at 6:05p and ends at 7:25p 
                   No Books, No Notes, No Papers, No Machines, No Phones, ... 
    
    December 3    3rd:  p167: 7, 9
                  4th:  p171: 7, 9
    December 10   Assignment
              
    December 15   Last Class: review any material from the course that you wish.
                    For Discussion: 3rd: p191: 1, 4, 5, 8, 9
                                    4th: p196: 1, 4, 5, 8, 9
    
    December 17    Final Exam on all parts of the course, 
                     above mentioned sections, plus Sections 6.1, 6.2, and 6.4.
                   Test begins at 6:00p and ends at 8:00p 
                   No Books, No Notes, No Papers, No Machines, No Phones, ... 
    
    



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