Francis Narcowich
Francis J. Narcowich, Professor
Narcowich ........
Wigner ......... Weisskopf
General Information
- Office: Blocker 611D
- Office hours: 1-2 MTW, and by appointment.
- E-mail: fnarc@math.tamu.edu
- Phone: (979) 845-7554 (Messages only.)
- FAX: (979) 845-6028
Courses
Fall 2021
-
Math 641-600: Analysis for Applications I (Room BLOC 123,
MWF 10:20-11:10 am)
-
Information sheet
-
Additional References
-
Current homework. Due Wednesday, 12/1/2021
-
Previous assignments
-
Keener's missing pages: 140 & 141
- Midterm
- Date: Wednesday, October 6, 2021
-
Midterm
review
-
Midterm
test
- Notes on Matlab
- Matlab
Basics, by Professor Peter Howard
- Notes on Linear Algebra
-
Vector spaces
-
Inner products and norms
-
Coordinates and
bases
-
Diagonalization
-
Adjoints, self-adjoint
operators, spectral theory, Courant-Fischer theorem, Fredholm
alternative
- Class Notes
-
Banach spaces and
Hilbert spaces
-
Lebesgue integration
-
Orthonormal
sets and expansions
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Approximation of
continuous functions
-
Pointwise
convergence of Fourier series
-
Discrete Fourier transform
-
Splines and finite
element spaces
-
X-ray 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
- Miscellaneous Notes
-
Notes on Variation of Parameters
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
- January 2021
- Applied Analysis Part
- Numerical Analysis
Part
- August 2021
- 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