Francis Narcowich
Francis J. Narcowich, Professor
Narcowich ........
Wigner ......... Weisskopf
General Information
- Office: Blocker 611D
- Office hours: MW 1-2, F 12-1 and by appointment.
- E-mail: f-narcowich@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 2024
-
Math 414-501: Fourier Series and Wavelets (BLOC 164, MWF
3-3:5)
-
Information sheet
-
Current homework. Not to be handed in.
-
Previous assignments
-
Projects Due Wednesday, May 1, by 5 pm.
- Notes
-
Lebesgue
integration
-
Least squares
-
Sine and cosine series
- Point-wise
convergence of Fourier series
-
Minimum residual energy and Parseval's Theorem
-
Seismic trace
-
Seismic trace and Fourier analysis (Shows the trace plus
Fourier analysis
- Example: Chapter 4, Exercise 1
- Positivity property
for an inner product derived from a matrix
- The relationship
between the Fourier series for $f$ and $f'$
- Notes for Feb. 23,
2024
-
Discrete Fourier transform
-
Example 4.11: Decomposition
-
Example 4.11: Reconstruction
- 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
-
Test 1 review
- Links to practice
tests:
2002, 2009
and 2015
- Test 2
-
Test 2 review
- Links to practice
tests:
2012,
2014
- Final Exam
-
Final exam review review
- Links to practice
tests:
2001,
2009
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
- August 2022
- Applied Analysis Part
- Numerical Analysis
Part
- January 2023
- Applied Analysis Part
- Numerical Analysis
Part
- August 2023
- Applied Analysis Part
- Numerical Analysis
Part
January 2024
- Applied Analysis Part
- Numerical Analysis
Part
Return to
Texas A&M Mathematics
Department