Francis Narcowich
Francis J. Narcowich, Professor
Narcowich ........
Wigner ......... Weisskopf
General Information
- Office: Blocker 611D
- Office hours: 12:30-1:30 MTWR, and by appointment.
- E-mail: fnarc@math.tamu.edu
- Phone: (979) 845-7554 (Messages only.)
- FAX: (979) 845-6028
Research Interests
Education
- B.S. DePaul University 1968
- M.A. Princeton University 1970
- Ph.D. Princeton University 1972
Courses
Spring 2022
-
Math 414-501: Fourier Series and Wavelets (BLOC 117, MWF
11:30-12:20)
-
Information sheet
-
Current
homework. Due Tuesday, 5/3/2022.
-
Previous
assignments
-
Schedule of presentations (10:30-12:30, May 10)
-
Projects Due Tuesday, May 10, by 4 pm.
- Notes
-
Sine and cosine series
- Point-wise convergence of Fourier series
-
Minimum residual energy and Parseval's Theorem
-
Seismic trace
-
Seismic trace and Fourier analysis
- Example: Chapter 4, Exercise
1
- Class notes for 4/22/22-5/2/22
- Matlab m-files
- Matlab
Basics, by Professor Peter Howard
-
part_sum_c.m
(Partial sums of FS, given the coefficients)
-
part_sum.m
(Computes the partial sum of a function.)
-
dir_kern.m
(Dirichlet/Fourier kernel.)
-
pieces.m (Plots a function with jump discontinuities)
-
mean_FS.m (Demonstrates convergence of Fourier series, both
uniformly and in L2.)
-
sampling_demo.m (Demonstrates the sampling theorem.)
- Test 1 review
-
Test
1 review
- Practice
Tests:
2002,
2003
and 2009
- Test 2 review
-
Test
2 review
- Practice
Tests:
2009
and 2010
- Test 3 review
-
Test
3 review
- Practice
Tests:
2002,
2009 and
2016
-
Math 642-600: Analysis for Applications II (BLOC 117, MWF
10:20-11:10)
-
Information sheet
-
Bibliography
-
Current homework. Due
Wednesday, 4/13/2022
-
Previous
assignments
- Notes
-
Fréchet and Gâteaux derivatives and the chain
rule
-
Isoperimetric Problem
-
Lagrange Multipliers in the Calculus of Variations
-
Sufficient conditions for an extremum
- Coordinates on the sphere
-
The Courant-Fischer Theorem
-
Laurent series example
-
Exercises for complex variables
-
Cauchy-Goursat Theorem. E. Croot, Georgia Tech.
-
Graphs and Operators
-
Tempered Distributions.
Joel Feldman, University of British Columbia.
-
Notes on Spectral Theory
-
Notes on the Poisson Summation Formula
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
- January 2022
- Applied Analysis Part
- Numerical Analysis
Part
Return to
Texas A&M Mathematics
Department