GILBERT STRANG Education Positions Held Awards and Duties
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ED16 Abstracts 73
ED16 Abstracts 73 IP1 industrial problems. She will give examples of some indus- Mathematical Modeling with Elementary School- trial research problems that student teams have tackled, Aged Students discuss some of the skills that are needed to be successful working with and in industry, discuss the challenges that Modeling, a cyclic process by which mathematicians de- one may face when working with corporate partners, and velop and use mathematical tools to represent, understand, present a summary of some of the lessons that have been and solve real-world problems, provides important learning learned over the years in these collaborations. opportunities for school students. Modeling opportunities in secondary schools are apparent, but what about in the Suzanne L. Weekes younger grades? Two questions are critical in mathemati- Worcester Polytechnic Institute (WPI) cal modeling in K-5 settings. (1) How should opportunities [email protected] for modeling in K-5 settings be constructed and carried out? (2) What are the tasks of teaching when engaging el- ementary students in mathematical modeling? In this talk IP5 I will present a framework for teaching mathematical mod- Title Not Available at Time of Publication eling in elementary classrooms and provide illustrations of its use by elementary grades teachers. Abstract not available at time of publication. Elizabeth A. Burroughs Philip Uri Treisman Montana State University The University of Texas at Austin [email protected] [email protected] IP2 CP1 Graduate Student Education in Computational Regime Switching Models and the Mental Account- Mathematics and Scientific Computing ing Framework Abstract not available at time of publication. -
Program of the Sessions San Diego, California, January 9–12, 2013
Program of the Sessions San Diego, California, January 9–12, 2013 AMS Short Course on Random Matrices, Part Monday, January 7 I MAA Short Course on Conceptual Climate Models, Part I 9:00 AM –3:45PM Room 4, Upper Level, San Diego Convention Center 8:30 AM –5:30PM Room 5B, Upper Level, San Diego Convention Center Organizer: Van Vu,YaleUniversity Organizers: Esther Widiasih,University of Arizona 8:00AM Registration outside Room 5A, SDCC Mary Lou Zeeman,Bowdoin upper level. College 9:00AM Random Matrices: The Universality James Walsh, Oberlin (5) phenomenon for Wigner ensemble. College Preliminary report. 7:30AM Registration outside Room 5A, SDCC Terence Tao, University of California Los upper level. Angles 8:30AM Zero-dimensional energy balance models. 10:45AM Universality of random matrices and (1) Hans Kaper, Georgetown University (6) Dyson Brownian Motion. Preliminary 10:30AM Hands-on Session: Dynamics of energy report. (2) balance models, I. Laszlo Erdos, LMU, Munich Anna Barry*, Institute for Math and Its Applications, and Samantha 2:30PM Free probability and Random matrices. Oestreicher*, University of Minnesota (7) Preliminary report. Alice Guionnet, Massachusetts Institute 2:00PM One-dimensional energy balance models. of Technology (3) Hans Kaper, Georgetown University 4:00PM Hands-on Session: Dynamics of energy NSF-EHR Grant Proposal Writing Workshop (4) balance models, II. Anna Barry*, Institute for Math and Its Applications, and Samantha 3:00 PM –6:00PM Marina Ballroom Oestreicher*, University of Minnesota F, 3rd Floor, Marriott The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 34, Issue 1 of Abstracts is ten minutes. -
2006 - 2007 Annual Report Department of Mathematics College of Arts & Sciences Drexel University Photo by R
2006 - 2007 Annual Report Department of Mathematics College of Arts & Sciences Drexel University Photo by R. Andrew Hicks Andrew R. by Photo TABLE OF CONTENTS PEOPLE 1 Message From the Department Head 2 Tenure Track Faculty 4 Auxiliary Faculty 5 Visiting Faculty & Fellows 5 Emeritus Faculty 6 Staff 6 Teaching Assistants & Research Assistants 7 New Faculty Profiles AWARDS / HIGHLIGHTS 8 Faculty Awards 9 Faculty Grants 10 Faculty Appointments / Conference Organizations 11 Faculty Publications / Patents 13 Faculty Presentations 17 Faculty New Course Offerings 18 Honors Day Awards 20 Graduate Student Day Awards 21 Albert Herr Teaching Assistant Award 21 Student Presentations 22 Bachelor of Science Degrees Awarded 22 Master of Science Degrees Awarded 22 Doctor of Philosophy Degree Awarded DEPARTMENT 23 Colloquium Photo by R. Andrew Hicks 25 Analysis Seminars 27 Dean’s Seminar 28 Departmental Committees 30 Mathematics Resource Center 31 Departmental Outreach 33 Financial Mathematics Advisory Board EVENTS 35 Student Activities 36 SIAM Chapter / Math Bytes 37 Departmental Social Events GIVING 38 Support the Mathematics Department MESSAGE FROM THE DEPARTMENT HEAD Dear Alumni and Friends, It has been another great year for our department. It is wonderful to have award winning faculty in the department. Dr. Pavel Grinfeld received the College of Arts and Sciences Excellence Award for both his research and teaching accomplishments, and Ms. Marna Mozeff Hartmann received the Barbara G. Hornum Award for Excellence in Teaching for her dedication to teaching and advising our undergraduates. Also several of our students have been recognized. Teaching Assistants Emek Kose and Jason Aran have won two of Drexel’s Teaching Assistant Excellence Awards. -
Fifth International Congress of Chinese Mathematicians Part 1
AMS/IP Studies in Advanced Mathematics S.-T. Yau, Series Editor Fifth International Congress of Chinese Mathematicians Part 1 Lizhen Ji Yat Sun Poon Lo Yang Shing-Tung Yau Editors American Mathematical Society • International Press Fifth International Congress of Chinese Mathematicians https://doi.org/10.1090/amsip/051.1 AMS/IP Studies in Advanced Mathematics Volume 51, Part 1 Fifth International Congress of Chinese Mathematicians Lizhen Ji Yat Sun Poon Lo Yang Shing-Tung Yau Editors American Mathematical Society • International Press Shing-Tung Yau, General Editor 2000 Mathematics Subject Classification. Primary 05–XX, 08–XX, 11–XX, 14–XX, 22–XX, 35–XX, 37–XX, 53–XX, 58–XX, 62–XX, 65–XX, 20–XX, 30–XX, 80–XX, 83–XX, 90–XX. All photographs courtesy of International Press. Library of Congress Cataloging-in-Publication Data International Congress of Chinese Mathematicians (5th : 2010 : Beijing, China) p. cm. (AMS/IP studies in advanced mathematics ; v. 51) Includes bibliographical references. ISBN 978-0-8218-7555-1 (set : alk. paper)—ISBN 978-0-8218-7586-5 (pt. 1 : alk. paper)— ISBN 978-0-8218-7587-2 (pt. 2 : alk. paper) 1. Mathematics—Congresses. I. Ji, Lizhen, 1964– II. Title. III. Title: 5th International Congress of Chinese Mathematicians. QA1.I746 2010 510—dc23 2011048032 Copying and reprinting. Material in this book may be reproduced by any means for edu- cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg- ment of the source is given. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale. -
Philosophical Magazine A
This article was downloaded by:[Massachusetts Institute of Technology] On: 7 January 2008 Access Details: [subscription number 768485848] Publisher: Taylor & Francis Informa Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK Philosophical Magazine A Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713396797 Towards thermodynamics of elastic electric conductors M. Grinfeld a; P. Grinfeld b a The Educational Testing Service, Princeton, New Jersey, USA b Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA Online Publication Date: 01 May 2001 To cite this Article: Grinfeld, M. and Grinfeld, P. (2001) 'Towards thermodynamics of elastic electric conductors', Philosophical Magazine A, 81:5, 1341 - 1354 To link to this article: DOI: 10.1080/01418610108214445 URL: http://dx.doi.org/10.1080/01418610108214445 PLEASE SCROLL DOWN FOR ARTICLE Full terms and conditions of use: http://www.informaworld.com/terms-and-conditions-of-access.pdf This article maybe used for research, teaching and private study purposes. Any substantial or systematic reproduction, re-distribution, re-selling, loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material. -
Plenary Speakers
FoCM95 Park City: Plenary speakers: WEEK 1 Marie-Francoise Roy, Universite de Rennes Shmuel Winograd, IBM Dima Y. Grigoriev, Pennsylvania State University Richard S. Varga, Kent State University Steve Smale, University of California, Berkeley John CannyUniversity of California, Berkeley Felipe Cucker, Universitat Pampeu Fabra, Spain Victor Pan, Herbert H. Lehman College, CUNY Michael Shub, IBM Roger Brockett, Harvard University WEEK 2 Henryk Wozniakowski, University of Warsaw David Donoho, University of California, Berkeley and Columbia University Yosef Yomdin, Weizmann Institute of Science, Israel Margaret H. Wright, AT&T Bell Laboratories N. Karmarker, AT&T Bell Laboratories Manuel Blum, University of California, Berkeley Roger Temam, Indiana University Arkadi Nemirovski, Israel Institute of Technology Hubertus Th.Jongen, Reinisch-Westf Tech Hochschule James M. Renegar, Cornell University WEEK 3 Herb Keller, California Institute of Technology Gene H. Golub, Stanford University Alexandre J. Chorin, University of California, Berkeley T. Y. Li, Michigan State University James Yorke, University of Maryland Lenore Blum, MSRI Eugene L. Allgower, Colorado State University Arieh Iserles, University of Cambridge, UK James W. Demmel, University of California, Berkeley W. Dahmen, Reinisch-Westf Tech Hochschule WEEK 4 Ronald A. DeVore, University of South Carolina, Columbia Ulrich Kulisch, University of Karlsruhe Victor A. V. Vassiliev, Institute for System Studies, Moscow Jacques Louis Lions, College de France Henryk Wozniakowski, University of -
Applications of Symbolic Computation to the Calculus of Moving Surfaces a Thesis Submitted to the Faculty of Drexel University B
Applications of Symbolic Computation to the Calculus of Moving Surfaces A Thesis Submitted to the Faculty of Drexel University by Mark W. Boady in partial fulfillment of the requirements for the degree of Doctor of Philosophy June 2016 c Copyright 2016 Mark W. Boady. All Rights Reserved. i Dedications To my lovely wife, Petrina. Without your endless kindness, love, and patience, this thesis never would have been completed. To my parents, Bill and Charlene, you have loved and supported me in every endeavor. I am eternally grateful to be your son. To my in-laws, Jerry and Annelie, your endless optimism and assistance helped keep me motivated throughout this project. ii Acknowledgments I would like to express my sincere gratitude to my supervisors Dr. Jeremy Johnson and Dr. Pavel Grinfeld. Dr. Johnson's patience and insight provided a safe harbor during the seemingly endless days of debugging and testing code. I cannot thank him enough for improvements in my writing, coding, and presenting skills. This thesis could not have existed without Dr. Grinfeld's pioneering research. His vast knowledge and endless enthusiasm propelled us forward at every roadblock. A special thanks also goes out to the members of my thesis committee: Dr. Bruce Char, Dr. Dario Salvucci, and Dr. Hoon Hong. Without their valuable input, this work would not have been fully realized. They consistently helped to keep this project focused while I was buried in the details of development. All the members of the Drexel Computer Science Department have provided endless help in my development as a teacher and researcher. -
Lecture Notes: Mathematical Methods
LECTURE NOTES IMPERIAL COLLEGE LONDON DEPARTMENT OF COMPUTING Mathematical Methods Instructors: Marc Deisenroth, Mahdi Cheraghchi Version: November 30, 2016 Contents 1 Course Overview3 2 Sequences6 2.1 The Convergence Definition.......................6 2.2 Illustration of Convergence.......................7 2.3 Common Converging Sequences.....................8 2.4 Combinations of Sequences.......................9 2.5 Sandwich Theorem............................9 2.6 Ratio Tests for Sequences........................ 11 2.7 Proof of Ratio Tests............................ 12 2.8 Useful Techniques for Manipulating Absolute Values......... 13 2.9 Properties of Real Numbers....................... 14 3 Series 15 3.1 Geometric Series............................. 16 3.2 Harmonic Series............................. 16 3.3 Series of Inverse Squares......................... 17 3.4 Common Series and Convergence.................... 18 3.5 Convergence Tests............................ 19 3.6 Absolute Convergence.......................... 22 3.7 Power Series and the Radius of Convergence.............. 23 3.8 Proofs of Ratio Tests........................... 24 4 Power Series 27 4.1 Basics of Power Series.......................... 27 4.2 Maclaurin Series............................. 27 4.3 Taylor Series............................... 31 4.4 Taylor Series Error Term......................... 33 4.5 Deriving the Cauchy Error Term..................... 34 4.6 Power Series Solution of ODEs..................... 34 5 Linear Algebra 36 5.1 Linear Equation Systems........................ -
Department of Mathematics
Department of Mathematics The Department of Mathematics seeks to sustain its top ranking in research and education by hiring the best faculty, with special attention to the recruitment of women and members of underrepresented minority groups, and by continuing to serve the varied needs of the department’s graduate students, mathematics majors, and the broader MIT community. Faculty Awards and Honors A number of major distinctions were given to the department’s faculty this year. Professor George Lusztig received the 2014 Shaw Prize in Mathematical Sciences “for his fundamental contributions to algebra, algebraic geometry, and representation theory, and for weaving these subjects together to solve old problems and reveal beautiful new connections.” This award provides $1 million for research support. Professors Paul Seidel and Gigliola Staffilani were elected fellows of the American Academy of Arts and Sciences. Professor Larry Guth received the Salem Prize for outstanding contributions in analysis. He was also named a Simons Investigator by the Simons Foundation. Assistant professor Jacob Fox received the 2013 Packard Fellowship in Science and Engineering, the first mathematics faculty member to receive the fellowship while at MIT. He also received the National Science Foundation’s Faculty Early Career Development Program (CAREER) award, as did Gonçalo Tabuada. Professors Roman Bezrukavnikov, George Lusztig, and Scott Sheffield were each awarded a Simons Fellowship. Professor Tom Leighton was elected to the Massachusetts Academy of Sciences. Assistant professors Charles Smart and Jared Speck each received a Sloan Foundation Research Fellowship. MIT Honors Professor Tobias Colding was selected by the provost for the Cecil and Ida Green distinguished professorship. -
Integral Geometry, Hamiltonian Dynamics, and Markov Chain Monte Carlo
Integral Geometry, Hamiltonian Dynamics, and Markov Chain Monte Carlo by MASS ACHUSES INS ITUTE OF TECHNOLOGY Oren Mangoubi JUN 16 2016 B.S., Yale University (2011) LIBRARIES Submitted to the Department of Mathematics MCHVES in partial fulfillment of the requirements for the degree of Doctor of Philosophy at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY June 2016 @ Oren Mangoubi, MMXVI. All rights reserved. The author hereby grants to MIT permission to reproduce and to distribute publicly paper and electronic copies of this thesis document in whole or in part in any medium now known or hereafter created. AuthorSignature redacted .................. C/ Department of Mathematics April 28, 2016 Certified by. Signature redacted Alan Edelman Professor Thesis Supervisor Accepted bySignature redacted Jonathan Kelner Chairman, Applied Mathematics Committee 2 Integral Geometry, Hamiltonian Dynamics, and Markov Chain Monte Carlo by Oren Mangoubi Submitted to the Department of Mathematics on April 28, 2016, in partial fulfillment of the requirements for the degree of Doctor of Philosophy Abstract This thesis presents applications of differential geometry and graph theory to the design and analysis of Markov chain Monte Carlo (MCMC) algorithms. MCMC al- gorithms are used to generate samples from an arbitrary probability density ir in computationally demanding situations, since their mixing times need not grow expo- nentially with the dimension of w. However, if w has many modes, MCMC algorithms may still have very long mixing times. It is therefore crucial to understand and reduce MCMC mixing times, and there is currently a need for global mixing time bounds as well as algorithms that mix quickly for multi-modal densities. -
The Fundamental Theorem of Linear Algebra
The Fundamental Theorem of Linear Algebra Gilbert Strang The American Mathematical Monthly, Vol. 100, No. 9. (Nov., 1993), pp. 848-855. Stable URL: http://links.jstor.org/sici?sici=0002-9890%28199311%29100%3A9%3C848%3ATFTOLA%3E2.0.CO%3B2-A The American Mathematical Monthly is currently published by Mathematical Association of America. Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/journals/maa.html. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. The JSTOR Archive is a trusted digital repository providing for long-term preservation and access to leading academic journals and scholarly literature from around the world. The Archive is supported by libraries, scholarly societies, publishers, and foundations. It is an initiative of JSTOR, a not-for-profit organization with a mission to help the scholarly community take advantage of advances in technology. For more information regarding JSTOR, please contact [email protected]. http://www.jstor.org Tue Feb 5 09:12:11 2008 The Fundamental Theorem of Linear Algebra Gilbert Strang This paper is about a theorem and the pictures that go with it. -
AMS Officers and Committee Members
Of®cers and Committee Members Numbers to the left of headings are used as points of reference 1.1. Liaison Committee in an index to AMS committees which follows this listing. Primary All members of this committee serve ex of®cio. and secondary headings are: Chair Felix E. Browder 1. Of®cers Michael G. Crandall 1.1. Liaison Committee Robert J. Daverman 2. Council John M. Franks 2.1. Executive Committee of the Council 3. Board of Trustees 4. Committees 4.1. Committees of the Council 2. Council 4.2. Editorial Committees 4.3. Committees of the Board of Trustees 2.0.1. Of®cers of the AMS 4.4. Committees of the Executive Committee and Board of President Felix E. Browder 2000 Trustees Immediate Past President 4.5. Internal Organization of the AMS Arthur M. Jaffe 1999 4.6. Program and Meetings Vice Presidents James G. Arthur 2001 4.7. Status of the Profession Jennifer Tour Chayes 2000 4.8. Prizes and Awards H. Blaine Lawson, Jr. 1999 Secretary Robert J. Daverman 2000 4.9. Institutes and Symposia Former Secretary Robert M. Fossum 2000 4.10. Joint Committees Associate Secretaries* John L. Bryant 2000 5. Representatives Susan J. Friedlander 1999 6. Index Bernard Russo 2001 Terms of members expire on January 31 following the year given Lesley M. Sibner 2000 unless otherwise speci®ed. Treasurer John M. Franks 2000 Associate Treasurer B. A. Taylor 2000 2.0.2. Representatives of Committees Bulletin Donald G. Saari 2001 1. Of®cers Colloquium Susan J. Friedlander 2001 Executive Committee John B. Conway 2000 President Felix E.