Math 44400: Foundations of Analysis I
     Class Number: 5311

Fall 2010: Meets 6:00p - 7:15p MW in LD 002

Final Exam: Wednesday, December 15    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 3:00 - 4:00, Tu 4:00 - 5:00, W 1:45 - 2:45, or by appointment


  • Syllabus for Math 444 (finished version)
  • Link for William Trench's "Introduction to Real Analysis", FREE(!) download
  • Link for Checksheet for BS Math, "Pure Math" option, new rules

  • 'A' List Problems (FINAL VERSION!)

  •      Class Schedule

    August 23     Read Syllabus Baldo cartoon
                  Interview with Dr. Wolf, Tufts U. reading expert
    August 25     Read Chapter 1 Reading Assignment 1
                  Bartle & Sherbert Chapter 1, pp 1-11
                  Bartle & Sherbert Chapter 1, pp 12-21
    August 30     Read Sections 2.1 and 2.2
                  p15: 4, 6, 11
                  p21: 4, 11, 12
                and  Let a_1 = 2 and let a_{n+1} = (a_n)/2 + 1/(a_n) for positive
                    integers bigger than 1.  Show that  a_n  is in [1,2], the
                    closed interval between 1 and 2.    
                  Problem above in the usual math notation.
       No Class Monday, September 6, Labor Day
    September 8   p34: 3, 4, 6, 7, 14, 15, 16
                  p38: 3, 4, 5, 6, 8, 9
    September 13  p43: 2, 3, 4, 6
         First Recitations: September 13: 2:00 - 4:00 (go to LD 224P, see note on door)
                                      and 7:30 - 8:30 (in classroom)
    September 15  Read Section 2.5 Reading Assignment 2
    September 20  p43: 7, 8, 9, 10
                  p67: 7, 8, 9, 11
    September 27  Homework for 9/27
    October 4     p86: 4, 5, 7, 10, 11
                Solution of Problem 10, page 86
    
    
    October 11    Test I on Chapters 1 - 3
                   Test begins at 6:00p and ends at 7:20p 
                   No Books, No Notes, No Papers, No Machines, No Phones, ... 
    
    October 13     Read Section 4.1 Reading Assignment 3
    October 27     Homework for 10/27
    November 1     p124: 3, 5, 6, 7, 8, 9, 10, 11, 12 (Use epsilon-delta proofs for all problems.)
    November 3     Read Section 5.3 Reading Assignment 4
    November 8     Homework for 11/08
    November 15    p144: 1, 2, 4, 5, 6, 7, 8
             (Homework not yet returned; I hope to have papers Monday in the AM)
    
    November 22    Test II on all we have covered, but mostly Chapters 4 and 5. 
                   Test begins at 6:00p and ends at 7:30p 
                   No Books, No Notes, No Papers, No Machines, No Phones, ... 
                   Reading: There is one problem that requires reading and understanding a new definition. 
    
         No Office Hours Tuesday 11/23 
           (email me if you'd like an appointment Tuesday morning)
    
    November 29    Read Section 6.1 Reading Assignment 5
    December 1     page 175: 6, 7, 13
    December 8     page 201: 1, 2, 6, 8
                   page 209: 8  (maybe using contrapositive is easier than direct:
                          that is, for f continuous and non-negative, show that if
                          there is c in [a,b] with f(c) > 0, then int(f) > 0.)
    
    
    December 15    Final Exam on all we have covered.   The last topics will be in 7.3, through 7.3.6.
                   Test begins at 6:00p and ends at 8:00p 
                   No Books, No Notes, No Papers, No Machines, No Phones, ... 
    
    



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