MAT 402 Spring 2007           Fourier Analysis         Prof. Bishop
Here is a list of assignments for class presentations.

Name                    material and approximate date

L. Chang                Section 4,  Weierstrass approximation.
                        pages 15-16 from beginning of section 
                        to end of proof of Example 4.2
                        Thursday, Feb 1

J. Jo                   Section 4, Weiserstrass approximation.
                        pages 15-18, from end of proof of 
                        example 4.2 to end of section
                        Thursday, Feb 1

B. Lerman               Section 5, second proof of Weierstrass' 
                        theorem. pages 19-20.  whole section
                        Tuesday, Feb 6

C. Papchristophorou     Section 6, Hausdorff's moment problem.
                        pages 21-23.  whole section.
                        Tuesday, Feb 6

O.N. Roberts            Section 9, The simplest convergence theorem.
                        pages 32-34.  whole section.
                        Thursday, Feb 8

Every one read sections 7 and 8 which have a mainly historical 
flavor.  I may make comments on them, but  will not assign them 
to be presented.

L. Chang                Section 10, The rate of convergence
                        pages 35-37, whole section

B. Lerman               Section 11, A nowhere differentiable function
                        pages 38-40, whole section

We will skip the sections on Monte-Carlo and Brownian motion. 

C. Papchristophorou     Section 15, Pointwise convergence
                        pages 56-58, whole section 

O.N. Roberts            Section 16, Behavior at points of discontinuity, I
                        pages 59-61, whole section

L. Chang                Section 17, Behavior at points of discontinuity, II
                        pages 62-66, whole section

B. Lerman               Section 18, A Fourier series divergent at a point
                        pages 67-69,  up to end of proof of Lemma 18.3
                        Thursday, Feb 22

C. Papchristophorou     Section 18, A Fourier series divergent at a point
                        pages 69-71, Lemmas 18.4 to 18.6 
                        Tuesday, Feb 27

O.N. Roberts            Section 18, A Fourier series divergent at a point
                        pages 71-73, Lemmas 18.7 to 18.8
                        Tuessay, Feb 27

I will talk about section 19 and perhaps 12-14 on Thursday March 1

L. Chang                Section 20, The undisturbed damped oscillator does
                        not explode, pages 79-82, whole sec., Tues., March 6

B. Lerman               Section 21, The disturbed damped oscillator does not
                        explode, pages 83-87, whole section, Tuesday, March 6

C. Papchristophorou     Section 22, Transients
                        pages 88-92, whole section,  Thursday, March 8

O.N. Roberts            Section 23, The linear damped oscillator with periodic
                        input, pages 93-98, whole section, Thursday, March 8

L. Chang                Section 24, A non-linear  oscillator, I
                        pages 99-103, whole section, Tuesday March 13

O.N. Roberts            Section 25,  A non-linear oscillator, II
                        pages 104-112, whole section, Thursday, March 15 
                        
C. Papchristophorou     Section 26, A non-linear oscillator, III
                        pages 113-115, whole section,  Thursday, March 15

B. Lerman               Section 32, Mean square approximation, I
                        pages  145-149, whole section, Tuesday March 20
 
L. Chang                Section 33, Mean square approximation, II
                        pages 150-154, whole section, Tuesday, March 20

B. Lerman               Section 34,   Mean square convergence
                        pages 155-158, whole section, Thursday,  March 22 
                        

C. Papchristophorou     Section 35, The isoperimetric problem,I
                        pages 159-165 , whole section,  Tuesday, March 27 
                        

O.N. Roberts            Section 36, The isoperimetric problem, II
                        pages  166-169, whole section, Thursday,  March 29

The next week, April 2-6 is Spring recess. Last day of classes is Friday.
May 4, so after recess, we have four weeks remaining. I was thinking of
giving you each a week (two meetings) to present  3-5 sections of your
choice. Some ideas (but you may propose others):
   Sections 40-45  Orthogonal polynomials
   Sections 46-51  Fourier transforms
   Sections 54-58 The age of the earth
   Sections 64-66 The wave equation
   Sections 69-71 The central limit theorem
   Sections 96-99 How fast can we multiply?
   Sections 105-107 Prime numbers