Francis Narcowich
Francis J. Narcowich, Professor
Narcowich ........
Wigner ......... Weisskopf
General Information
 Office: Blocker 611D
 Office hours: TBA, and by appointment.
 Email: fnarc@math.tamu.edu
 Phone: (979) 8457554 (Messages only.)
 FAX: (979) 8456028
Courses
Fall 2020

Math 641600: Analysis for Applications I (Room FERM 303,
MWF 10:4011:30 am)

Information
sheet

Additional References

Current homework. Due
Wednesday, 9/30/2020, at midnight CDT.

Previous assignments

Details for problem 4
in assignment 4

Keener's missing pages: 140 & 141
 Class Notes

Vector spaces

Inner products and norms

Coordinates and
bases

Diagonalization

Adjoints, selfadjoint
operators, spectral theory, CourantFischer theorem, Fredholm
alternative

Banach spaces and
Hilbert spaces

Lebesgue integration

Orthonormal
sets and expansions

Approximation of
continuous functions

Pointwise
convergence of Fourier series

Discrete Fourier transform

Splines and finite
element spaces

Xray tomography
and integral equations

Bounded
operators and closed subspaces

The Projection
Theorem, the Riesz Representation Theorem, Adjoints, and the
Fredholm Alternative

An example of the Fredholm alternative and finding a resolvent

Compact operators

The Closed Range
Theorem
 Spectral theory
for compact operators
 Example
problems for distributions
Applied Analysis/Numerical Analysis Qualifiers

Applied/Numerical Qualifier Syllabus
 May 2006
 January 2007
 May 2007
 May 2008
 January 2009
 August 2009
 January 2010
 August
2010
 January
2011
 August
2011
 January
2012
 August
2012
 January
2013
 August
2013
 January 2014
 Applied Analysis Part
 Numerical Analysis
Part
 August 2014
 Applied Analysis Part
 Numerical Analysis
Part
 January
2015
 August 2015
 January 2016
 August 2016
 August 2017
 January 2018
 August 2018
 Applied Analysis Part
 Numerical Analysis
Part
 January 2019
 Applied Analysis Part
 Numerical Analysis
Part
 August 2019
 Applied Analysis Part
 Numerical Analysis
Part
 January 2020
 Applied Analysis Part
 Numerical Analysis
Part
 August 2020
 Applied Analysis Part
 Numerical Analysis
Part
Wavelets
Education
 B.S. DePaul University 1968
 M.A. Princeton University 1970
 Ph.D. Princeton University 1972
Research Interests
Return to
Texas A&M Mathematics
Department