MESSAGES:               (as of 10/3/'15)

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        Welcome to MATH 710:	Topics in Applied Math
				Nonlinear Functional Analysis

This is the "message link":	http://userpages.umbc.edu/~seidman/f15/m-710
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HW 1:	Read pages 1-4 of the Notes and prepare some questions about
this material.  Try Exercise 1.4 (on p.3)
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HW 2:	Do Exercises 2.7 and 2.8;  read through the proof of Theorem 2.5
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HW 3:	
1.	Check whether the proof of Theorem 2.5 is valid (with only minor
modification) if f:X-->Y with X,Y metric spaces, Y connected. [Be careful
about the meaning of "f is a local homeomorphism".]
2.	Give an example (with psi increasing and satisfying (2.3.15)) to 
show that the result of Exercise 2.9 (p.13) is false!   
[Obviously something needs changing.  I am now trying to recall why this 
Exercise was given and what is the "right" result.]
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>>>>	We are next going to go through the application to the
nonlinear Poisson equation (2.3.14), using the material of pages 7--12 
as background.
HW 4:	
1.	Reread the material of pages 7--12 and prepare any questions
2.	Do Exercise 2.9 (p.13) -- modified to assume psi continuous but
omit the uniform bound on the derivative of the approximating psi_epsilon
3.	Do Exercise 2.10 (p.13) [assume u is smooth]
4.	Look ahead a bit at the proof of the application to see what
is involved here 
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>>>>		GENERAL INFORMATION & ANNOUNCEMENTS		<<<<<
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>>>     A complete set of (handwritten) notes is available at
  http://userpages.umbc.edu/~seidman/f15/NFA_Notes-1993.pdf
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>>>>>	Bookmark this link (userpages.umbc.edu/~seidman/f14/m-432) which
will be one of my consistent ways of communicating with you outside class
 --- check this often!
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>>>     IMPORTANT: If you want to send me things by e-mail, do NOT send
them as Word files (.doc or .docx).  I will only be able to read them if
they are plain text (as in the body of an e-mail) or .pdf files as
attachments; sending a .tex source file as a plain text attachment is also
acceptable.   [Indeed, I recommend learning LaTeX for technical writing.]
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>>>  The Syllabus will (a bit later) be available at: 
	userpages.umbc.edu/~seidman/f15/710-syllabus-f15.pdf
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>>>>			   ASSIGNMENTS				<<<<
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HW 1:	Read pages 1-4 of the Notes and prepare some questions about
this material.  Try Exercise 1.4 (on p.3)
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