Francis Narcowich
Francis J. Narcowich, Professor
Narcowich ........
Wigner ......... Weisskopf
General Information
 Office: Blocker 611D
 Office hours: 12:301:30 MTWR, and by appointment.
 Email: fnarc@math.tamu.edu
 Phone: (979) 8457554 (Messages only.)
 FAX: (979) 8456028
Research Interests
Education
 B.S. DePaul University 1968
 M.A. Princeton University 1970
 Ph.D. Princeton University 1972
Courses
Spring 2022

Math 414501: Fourier Series and Wavelets (BLOC 117, MWF
11:3012:20)

Information sheet

Current
homework. Due Tuesday, 5/3/2022.

Previous
assignments

Schedule of presentations (10:3012:30, May 10)

Projects — Due Tuesday, May 10, by 4 pm.
 Notes

Sine and cosine series
 Pointwise 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 4/22/225/2/22
 Matlab mfiles
 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 L^{2}.)

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 642600: Analysis for Applications II (BLOC 117, MWF
10:2011:10)

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 CourantFischer Theorem

Laurent series example

Exercises for complex variables

CauchyGoursat 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
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Department