Francis Narcowich
Francis J. Narcowich, Professor
Narcowich ........
Wigner ......... Weisskopf
General Information
- Office: Blocker 611D
- Office hours: TBA, and by appointment.
- E-mail: fnarc@math.tamu.edu
- Phone: (979) 845-7554 (Messages only.)
- FAX: (979) 845-6028
Courses
Fall 2020
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Math 641-600: Analysis for Applications I (Room FERM 303,
MWF 10:40-11:30 am)
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Information
sheet
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Additional References
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Current homework. Due
Wednesday, 9/30/2020, at midnight CDT.
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Previous assignments
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Details for problem 4
in assignment 4
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Keener's missing pages: 140 & 141
- Class Notes
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Vector spaces
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Inner products and norms
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Coordinates and
bases
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Diagonalization
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Adjoints, self-adjoint
operators, spectral theory, Courant-Fischer theorem, Fredholm
alternative
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Banach spaces and
Hilbert spaces
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Lebesgue integration
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Orthonormal
sets and expansions
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Approximation of
continuous functions
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Pointwise
convergence of Fourier series
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Discrete Fourier transform
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Splines and finite
element spaces
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X-ray tomography
and integral equations
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Bounded
operators and closed subspaces
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The Projection
Theorem, the Riesz Representation Theorem, Adjoints, and the
Fredholm Alternative
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An example of the Fredholm alternative and finding a resolvent
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Compact operators
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The Closed Range
Theorem
- Spectral theory
for compact operators
- Example
problems for distributions
Applied Analysis/Numerical Analysis Qualifiers
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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