General Information

Address
Department
of Math Office Room: 352
8013584668 Fax: 8014220504 
Calculus and Analytic Geometry
Introduction to Ordinary Differential Equations
Vector Analysis
Matrix Analysis
Advanced Calculus
Point Set Topology
Real Analysis
Complex Analysis
My main course to teach in the last 17 years has
been engineering math: Multivariable calculus and watered down linear algebra.
My primary area of research is Partial Differential Equations and Inclusions. I work on abstract methods for determining whether problems of this sort are well posed. Lately, I have been working on the mathematical theory of problems from contact mechanics including friction, wear, and damage. I have also been studying extensions to stochastic equations and inclusions.
I am usually interested in topics in analysis, especially measure and integration, functional analysis and such things.
Here is a pdf file of a vita vita . .
A Book, Basic Analysis Rinton Press
2001.
There are some things I have found in this book which would be better
changed. Here is a pdf file containing these pages
errors
. If you have trouble with the pdf file, here is a postscipt
file of the same thing mistakes .
A Book, Modern Analysis CRC press 1998.
There are some things I have found in this book which would be better
changed. Here is a pdf file containing these pages
errors . If you
have trouble with the pdf file, here is a postscipt
file of the same thing mistakes
QuasiStatic Thermoviscoelastic Contact Problem with
Slip Dependent Friction Coefficient With A. Amassad,
M. Rochdi and M. Shillor,
{Mathematical and Computer Modelling}, 36, (2002) pp. 839854.
Dynamic Contact with Normal Compliance Wear and Discontinuous Friction
Coefficient. With Shillor. SIMA Vol. 34 #1 pp. 127,
(2002).
J. Bajkowski, Fernandez, Kuttler, and M. Shillor, A thermoviscoelastic beam model for brakes,'' European.
Journal of Applied Math. 15(2)(2004), 181202
Existence for a thermoviscoelastic beam model of
brakes, With Shillor and Fernandez. Nonlinear
Analysis: 5 (2004) 857880.
Analysis and Simulations of Vibrations of a Beam with a Slider with Dumont and Shillor. Journal of Engineering Mathematics 47 6182. (2003)
K. L. Kuttler, Meir Shillor and J. R. Fernandez,
``Existence for the Thermoviscoelastic Thermistor Problem,''J. Diff. Eqn. Dyn.
Systems, to appear
K. L. Kuttler, Meir Shillor, Heat conduction with
flux condition on a free patch, Journal of Applied Math. and
Optimization., 50(2)(2004), 143159
Dynamic contact with Signorini's condition and slip
rate dependent friction, With Shillor.
Electron. J. Diff. Eqns., Vol. 2004(2004), No. 83, pp. 121.
Regularity of solutions for dynamic frictionless contact problems with normal
compliance, with Shillor. To appear in Nonlinear
Analysis as of Sept. 2004.
Quasistatic evolution of damage in an elasticviscoplastic material, Electron. J. Diff. Eqns., Vol. 2005(2005), No. 147, pp. 125.
Dynamic frictional contact for elastic viscoplastic material, Electron. J. Diff. Eqns., Vol. 2007(2007), No. 75, pp. 120.
An Elastic viscoplastic quasistatic contact problem: existence and uniqueness of a weak solution, with Campo and Fernandez. Archive Rational Mechanics and Analysis, 191, March (2009) 423445.
An Existence and uniqueness result for an Elastopiezoelectric problem with damage, with Fernandez. Mathematical Models and Methods in Aplied Sciences, Vol. 19, No. 1 pp. 31 50. January 2009
Existence Results for Dynamic Adhesive Contact of a Rod. With Menike R.S.R. and Shillor M. Journal of math analysis and applications. 351, March (2009),781791.
Two rods in dynamic adhesive contact, with Shillor, M. and Nassar A. Sayed. Annals of the Academy of Romanian Scientists Series on Mathematics and its Applications 1(1) (2009), 83111.
Here is a pdf file of my calculus book with a
shorter collection of exercises and no solutions manual and answers to
exercises. The published version is described at
http://www.worldscibooks.com/mathematics/7917.html. Calculus,
Applications and Theory Here is page 170 of the published calculus book. It
was defective. page170 . Here is Page 178 of Volume 2 of the calculus
book. It has an obvious error. page178 .
Here is Page 279 of Volume 1 of the calculus book. It has a garbled explanation
corrected in what follows.
Here is a pdf file of Notes for Math 214. This is mostly a subset of the material in the calculus book consisting of multivariable calculus and a brief treatment of linear algebra.. Math 214 Notes
Here is a pdf file for a more elementary linear algebra book. This one presents everything for the first time in terms of the row reduced echelon form and emphasizes row operations. I have made many changes recently. There is a solutions manual available on request. elementary linear algebra book Also, here are alternate versions of the exercises along with their solutions. LinearAlgebraProblems LinearAlgebraSolutions . These files were computer generated using Scientific Notebook. The source files from which these were generated are available if anyone would like to use them and modify them as desired.
Here is a pdf for lecture notes for math 302 .Fall 2009 Math 302 lecture notes
Here is a pdf file for the latest version of a linear algebra book. linear algebra book
Here is a rewritten version of this book. It has additional topics and is arranged differently. linear algebra and analysis
Here is a pdf file for a single variable advanced calculus book. It is mostly done. Single Variable Advanced Calculus
Here is a pdf file for a multvariable advanced calculus book. I am still working on it. Many Variable Advanced Calculus
Here is a pdf file for Nonlinear Analysis Notes. I am still working on it. Nonlinear analysis
Here is a pdf file of the latest version of my book on topics on analysis.. It contains a review of advanced calculus and then discusses measure and integration, and complex analysis at a more advanced level than the other complex variable notes on this page. It also includes the main theorems about Sobolev Spaces and interpolation theorems in Banach space as well as other abstract topics. I am still working on it.. Topics
Here is a pdf file for some courses on analysis. Apparently not for BYU. Analysis
Here is a pdf file of notes for a seminar on stochastic integration and probability. It is a subset of the large topics book. notes
Here is a pdf for lecture notes for math 113 .Fall 2006 Math 113 lecture notes
Here is a pdf for a short differential equations book. It is not done yet. Differential equations notes
Here is a pdf file of a few notes for math 547, Partial Differential Equations to be used in the Fall of 2003. You should click on the blue phrase "547 notes". Then save the pdf file in whatever folder you want. 547 notes
Here is a pdf file of notes on vector analysis. This is also an appendix in the above calculus book. Then save the pdf file in whatever folder you want. vector analysis
Here is a pdf file for some lecture notes for Math 532, complex variables, to be used in the summer of 2001. These notes have a more elementary flavor than those found in the above Topics book and 641642 book. However there are some things in these notes which are not in the above. complex variable notes
Here is a postscript file for notes for pde seminar based on book by Panagiotopolous and Naniewicz. notes postscript
Here is a pdf. file for a pattern for a gingerbread house. It is a Latex exercise using the picture environment. ginger bread house