Francis Narcowich
Francis J. Narcowich, Professor
Narcowich ........
Wigner ......... Weisskopf
General Information
 Office: Blocker 611D
 Office hours: MTWR 1:402:30, and by appointment.
 Email: fnarc@math.tamu.edu
 Phone: (979) 8457554 (Messages only.)
 FAX: (979) 8456028
Courses
Spring 2019

Math 414501: Fourier Series and Wavelets (BLOC 161, MWF
10:2011:10 am)

Information
sheet

Current homework. Due
Wednesday, 4/17/19.
 Previous
assignments

Projects — Due
5/7/19, by 4 pm.
 Notes
 Example: Chapter 4, Exercise
1
 Example 4.11,
Chapter 4
 Sine
and cosine series

Pointwise convergence of Fourier series

Least Squares and Fourier Series
 Approximating
the FT with the FFT
 Test 1 — 2/18/2019
 Test 1 review sheet
 Practice Tests:
2002,
2003
and 2009

Tables
on Test 1
 Test 2 — 3/22/2019

Test 2 review
 Practice
Tests:
2009
and 2010

Tables on Test 2
 Test 3 — 4/26/2019
 Practice
Tests:
2001,
and 2009
and 2012

Test
3 review
 Matlab mfiles
 bw.m Butterworth filter
 acausal_demo.m Acausal filter
 sampling_demo.m Demonstrates
the sampling theorem
 ft_approx.m FFT approximation
to FT
 compress.m Compression tool
 fftcompress.m FFT compression
 haar_sine.m Haar
decomposition of sin(πx).

Math 642600: Analysis for Applications II (BLOC 148, MWF
12:401:30 pm)

Information
sheet

Bibliography

Current homework. Due
Friday, 3/1/19.

Previous
assignments

Midterm
review
 Final exam
 Notes

The Isoperimentric Problem

Sufficient conditions for an extremum

Exercises for complex variables

CauchyGoursat
Theorem.
E. Croot, Georgia Tech.

Laurent series example

Graphs and Operators

Tempered Distributions
Joel Feldman, University of British Columbia.

Fourier transform example using a tempered distribution
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
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