Francis J. Narcowich, Professor

Narcowich ........ Wigner ......... Weisskopf

General Information

• Office: Blocker 611D
• Office hours: TBA, and by appointment.
• E-mail: f-narcowich@tamu.edu
• Phone: (979) 845-7554 (Messages only.)
• FAX: (979) 845-6028

Research Interests

• Approximation Theory and Mathematical Physics
• Curriculum Vitae
• Publications
• A First Course in Wavelets and Fourier Analysis, 2nd Edition, by Albert Boggess & Francis J. Narcowich

Education

• B.S. DePaul University 1968
• M.A. Princeton University 1970
• Ph.D. Princeton University 1972

Courses

Spring 2025

• Math 414-501: Fourier Series and Wavelets (BLOC 110, MWF 12:40 pm - 1:30 pm)

  Information sheet

  Current homework. Due 1/24/25

  Previous assignments

  Projects

  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 $f'$

  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.)

• Math 601-602: Methods of Applied Mathematics I (BLOC 148, MWF 9:10 am - 10:00 am)

Information sheet

Current assignment Due 1/24/25.

Previous assignments

Previous Semesters

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

August 2024

Applied Analysis Part

Numerical Analysis Part

Return to Texas A&M Mathematics Department