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Existence Of Solutions For Discontinuous Functional Equations And Elliptic Boundary-Value Problems, Siegfried Carl, Seppo V. Heikkilä

Mathematics and System Engineering Faculty Publications

We prove existence results for discontinuous functional equations in general Lp-spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. The main tool in the proof is a fixed point result in lattice-ordered Banach spaces proved by the second author. © 2002 Southwest Texas State University.

Resonance Problems With Respect To The Fučík Spectrum Of The P-Laplacian, Kanishka Perera

Mathematics and System Engineering Faculty Publications

We solve resonance problems with respect to the Fučík spectrum of the p-Laplacian using variational methods.

One-Sided Resonance For Quasilinear Problems With Asymmetric Nonlinearities, Kanishka Perera

Mathematics and System Engineering Faculty Publications

One-sided resonance for quasilinear problems with asymmetric nonlinearities

An Upper And Lower Solution Approach For A Generalized Thomas–Fermi Theory Of Neutral Atoms, Ravi P. Agarwal, Donal O'Regan

Mathematics and System Engineering Faculty Publications

An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. The boundary conditions were investigated for the neutral atoms, the ionized atoms and the isolated neutral atoms.

Stability Analysis Of Nonlinear Lyapunov Systems Associated With An Nth Order System Of Matrix Differential Equations, Kanuri N. Murty, Michael D. Shaw

Mathematics and System Engineering Faculty Publications

This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system. We study observability and controllability of a special system of nth order nonlinear Lyapunov systems.

On The Existence Of Solutions To A Fourth-Order Quasilinear Resonant Problem, Shibo Liu, Marco Squassina

Mathematics and System Engineering Faculty Publications

By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p-harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown. Copyright © 2002 Hindawi Publishing Corporation.

Improved Energy Model For Membrane Electroporation In Biological Cells Subjected To Electrical Pulses, R. P. Joshi, Q. Hu, K. H. Schoenbach, H. P. Hjalmarson

Bioelectrics Publications

A self-consistent model analysis of electroporation in biological cells has been carried out based on an improved energy model. The simple energy model used in the literature is somewhat incorrect and unphysical for a variety of reasons. Our model for the pore formation energy E(r) includes a dependence on pore population and density. It also allows for variable surface tension, incorporates the effects of finite conductivity on the electrostatic correction term, and is dynamic in nature. Self-consistent calculations, based on a coupled scheme involving the Smoluchowski equation and the improved energy model, are presented. It is shown that E(r) becomes …

Collisional And Radiative Processes In High-Pressure Discharge Plasmas, Kurt H. Becker, Peter F. Kurunczi, Karl H. Schoenbach

Bioelectrics Publications

Discharge plasmas at high pressures (up to and exceeding atmospheric pressure), where single collision conditions no longer prevail, provide a fertile environment for the experimental study of collisions and radiative processes dominated by (i) step-wise processes, i.e., the excitation of an already excited atomic/molecular state and by (ii) three-body collisions leading, for instance, to the formation of excimers. The dominance of collisional and radiative processes beyond binary collisions involving ground-state atoms and molecules in such environments allows for many interesting applications of high-pressure plasmas such as high power lasers, opening switches, novel plasma processing applications and sputtering, absorbers and reflectors …

Electrical Network-Based Time-Dependent Model Of Electrical Breakdown In Water, R. P. Joshi, J. Qian, K. H. Schoenbach

Bioelectrics Publications

A time-dependent, two-dimensional, percolative approach to model dielectric breakdown based on a network of parallel resistor–capacitor elements having random values, has been developed. The breakdown criteria rely on a threshold electric field and on energy dissipation exceeding the heat of vaporization. By carrying out this time-dependent analysis, the development and propagation of streamers and prebreakdown dynamical evolution have been obtained directly. These model simulations also provide the streamer shape, characteristics such as streamer velocity, the prebreakdown delay time, time-dependent current, and relationship between breakdown times, and applied electric fields for a given geometry. The results agree well with experimental data …

2002 Aahe Assessment Conference Talk, Kenton Machina

Faculty Publications - Philosophy

In this presentation, I argue that even though statements of educational program objectives are normally politically-charged and necessarily grandiose and vague, they can be used as a basis for assessing the program's implementation, on the condition that they were taken seriously when the implementation occurred. In this situation, I argue for an assessment strategy that I term "Interactive Spiraling Assessment Process" to be employed by those in charge of evaluating the program and its objectives.

Community Building With And For Teachers At The Math Forum, K. Ann Renninger, W. Shumar

Educational Studies Faculty Works

This chapter addresses the way in which the Internet forms the core of an intentional, online community by promoting communication between interested parties. The Math Forum (mathforum.org) is a unique group of individuals who are committed to using computers and the Internet to enhance what they know about learning, teaching, and doing mathematics. The Math Forum includes programmers, project and service staff, Web persons, and an ever-expanding number of teachers, students, and other individuals (i.e., parents, software developers, mathematicians). Thus, community building for The Math Forum staff includes work with teachers, with partners (National Council of the Teachers of Mathematics, …

Parental Infidelity And The "No-Harm" Rule In Custody Litigation, Lynn D. Wardle

Catholic University Law Review

No abstract provided.

Kentucky River Basin Management Plan, Kentucky Water Resources Research Institute

KWRRI Research Reports

This report summarizes how agency activities will be coordinated in the Kentucky River basin during the fiver year cycle beginning in July 2002. It sets out the criteria and processes that guide state and federal programs to take particular actions.

Kentucky Water Resources Research Institute Annual Technical Report Fy 2001, Kentucky Water Resources Research Institute, University Of Kentucky

KWRRI Annual Technical Reports (USGS’s 104b Grant Program)

The FY 2001 Annual Technical Report for Kentucky consolidates reporting requirements of the Section 104(b) base grant award in a single technical report that includes: 1) a synopsis of each research project supported during the period, 2) a list of related reports, 3) a description of information transfer activities, 4) a summary of student support during the reporting period, and 5) notable achievements and awards during the year.

2002 Aapp Monograph Series: African American Professors Program, John Mcfadden, Terry Carter, Brian L. Johnson, Christopher Leevy Johnson, Joyce D. Jackson, Robert Ware, Tracy Harrell Dunn, Vicky M. Young, Phyllis J. Perkins, Shuudelle Latjuan Dogan, Dorinda J. Gallant-Taylor, D. Samuel Duetsch, Sirena C. Hargrove, Maxine Henry, Monique E. Davis

Monograph Series

The African American Professors Program (AAPP) at the University of South Carolina is pleased to produce the second edition of its annual monograph series. It is fitting that the program contrives to assume a leadership role in promoting scholarly products that prove to be useful in research endeavors by faculty and students in higher education.

Scholars who have contributed manuscripts for this monograph are to be commended for adding this additional responsibility to their academic workload. Writing across disciplines adds to the intellectual diversity of these papers. From neophytes, relatively speaking, to an array of very experienced individuals, the chapters …

Groundwater Quality In Kentucky: Ph, R. Stephen Fisher

Information Circular--KGS

The parameter pH (the negative base-10 logarithm of hydrogen ion activity, measured in moles per liter) indicates whether a substance will behave as an acid or base. It is one of the most important parameters that describe groundwater quality, because pH largely controls the amount and chemical form of many organic and inorganic solutes in groundwater.

Water Well And Spring Map Of The Bowling Green 30 X 60 Minute Quadrangle, Kentucky, Bart Davidson

Map and Chart--KGS

No abstract provided.

Contents

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Virginia Collaborative For Excellence In The Preparation Of Teachers, R. W. Farley, W. E. Haver

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

A Model General Education Science Course Involving Humanities And Sciences, Education, And Medical School Collaboration, J. P. Chinnici

Journal of Mathematics and Science: Collaborative Explorations

This article described an innovative general education biology course for non-science majors, BIOL 102-Science of Heredity (SOH), stressing active student learning and collaboration [1]. The course has three components. The lecture is taught by J. P. Chinnici and several undergraduate "teacher apprentices"; students receive a classnotes packet, take in-class quizzes, and interact to work on genetic worksheets; incentives include reviewing books, visiting a science museum, and finding albino squirrels. Recitations are taught by graduate students in the Department of Human Genetics; student activities include preparing a family pedigree, writing a term paper, reporting orally and in writing on several media …

Enhancing Finite Mathematics With Global Awareness, D. L. Hydorn

Journal of Mathematics and Science: Collaborative Explorations

This paper describes the project of modifying the course, Finite Mathematics, to meet a Global Awareness course requirement. The components of the revised course are described, including topics, in-class activities, and student evaluation methods, along with a summary of the results of a general education assessment of the course.

Mathematics For Non-Science Majors Chemistry Course, D. D. Shillady

Journal of Mathematics and Science: Collaborative Explorations

A chemistry course developed for non-science majors has been taught at Virginia Commonwealth University for the past five years. CHEM 112 uses current event articles from science magazines to make use of a verbal channel of learning in non-science majors, but some mathematics is necessary. Examples are given of successful presentation of nuclear chemistry and data needed for a balanced discussion of global warming. Manipulation of symbols in balancing chemical and nuclear reactions, simple algebra, and logarithms for pH and unit analysis of simple stoichiometric conversions are fundamental to basic chemistry. The population of a voting democracy could benefit from …

A Collaborative Pre-Practicum Apprentice Program Gives A Community College A Jump-Start In Teacher Preparation, G. F. Childers

Journal of Mathematics and Science: Collaborative Explorations

The Virginia Collaborative for Excellence in the Preparation of Teachers (VCEPT), funded by a grant from the Division of Undergraduate Education of the National Science Foundation, implemented the VCEPT Pre-Practicum Apprentice Program a couple of years into the grant. Groups of colleges within the Collaborative were to work together to set up an experience for pre-service teachers at their colleges which emphasized mathematics, science, and technology and which gave the pre-service teachers some in-field experience observing instruction in the local schools with lead teachers in these disciplines. Virginia Commonwealth University (VCU), Virginia Union University (VUU), and J. Sargeant Reynolds Community …

The Science Studio – A Workshop Approach To Introductory Physical Science, S. R. Chaudhury

Journal of Mathematics and Science: Collaborative Explorations

This paper describes the Science Studio, an innovative workshop approach for instruction in a physical science course that combines aspects of traditional lecture and laboratory. The target audience for this introductory course is non-science majors, including prospective teachers. An inquiry-based, technology-rich learning environment has been created to allow students hands-on, in-depth exploration of topics in physics, and earth and space science. Course philosophy, course development, and sample activities are described in this paper, along with outcomes from a project-wide evaluation of the Virginia Collaborative for Excellence in the Preparation of Teachers (VCEPT), an investigation of change in student attitudes and …

A Future Teachers Conference – A Vehicle To Retain, Inform, And Inspire New And Prospective Teachers, J. Kasabian, L. Fathe, J. M. Dewar

Journal of Mathematics and Science: Collaborative Explorations

The Los Angeles Collaborative for Teacher Excellence (LACTE) Future Teachers Conference is a day-long learning event for beginning and pre-service K-12 math and science teachers. The Conference provides information, resources and connections tailored to the needs of prospective and new teachers. A unique aspect of the conference is that a group of new and future teachers serve as partners with college faculty on the planning committee. Thus the Conference not only serves to educate new and future teachers, but also provides leadership training for the planning team members; and, the presence of prospective and new teachers on the planning team …

Journal Of Mathematics And Science: Collaborative Explorations

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Use Of Dramatic Demonstrations To Enhance The Motivation And Learning Of Chemistry Students, H. A. Rowe

Journal of Mathematics and Science: Collaborative Explorations

As part of the Virginia Collaborative for Excellence in the Preparation of Teachers (VCEPT) project, a series of demonstrations was incorporated into Chemistry 100: Man and Environment, a science course taken by non-science majors including many prospective K-12 teachers. Dramatic chemical demonstrations were first presented to the undergraduate students by the instructor, and then they used demonstration activities to teach each other during the semester. Finally, these undergraduates presented to the K-6 students in the Norfolk Statue University (NSU) Summer Children’s College. The perceptions of science by the undergraduates at the beginning and end of the course were assessed using …

Programs That Work Section, L. D. Pitt

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Hanging Up On The First Amendment: An Analysis Of Contemporary Telemarketing Regulations, Brook Dambacher

Loyola Consumer Law Review

No abstract provided.

Grand Valley Magazine, Vol. 1, No. 2 Winter 2002, Grand Valley State University

Grand Valley Magazine

Grand Valley Magazine is a quarterly publication about Grand Valley State University produced by University Communications since 2001.