Conference Session

Mathematics in Transition

Collection

2007 Annual Conference & Exposition

Authors

Janet Callahan; Joe Guarino, Boise State University; Seung Youn Chyung, Boise State University; John Gardner, Boise State University; Amy Moll, Boise State University; Pat Pyke, Boise State University; Cheryl Schrader, Boise State University

Tagged Divisions

Mathematics

University and a master’s degree in journalism from the University of California at Berkeley.Cheryl Schrader, Boise State University Page 12.305.1 Cheryl B. Schrader is Dean of the College of Engineering and Professor of Electrical and Computer Engineering at Boise State University. Dean Schrader has an extensive record of publications and sponsored research in the systems, control and engineering education fields. She recently received the 2005 Presidential Award for Excellence in Science, Mathematics and© American Society for Engineering Education, 2007 Engineering Mentoring from the White House for

Conference Session

Project and Model-Based Mathematics

Collection

2007 Annual Conference & Exposition

Authors

Dennis Berkey, Worcester Polytechnic Institute; Bogdan Vernescu, Worcester Polytechnic Institute

Tagged Divisions

Mathematics

paths, but it is just as valuable for students who enter “traditional” graduate programs andgo into academic careers in that it broadens their perspectives on the uses of mathematics (A. C.Heinricher and S. L. Weekes12, B. Vernescu and A.C. Heinricher19)Here are some sample REU projects from past research summers (more are available on theCIMS web at www.wpi.edu/+CIMS ): Optimal Cession Strategies – Sponsor: Premier Insurance Co.; Faculty advisor: Arthur Heinricher; Industrial advisors: Richard Welch, CEO, and Martin Couture. In the state of Massachusetts, the automobile insurance industry is highly regulated. Not only are insurance rates fixed by the state, but no company can refuse insurance to anyone who

Conference Session

Applied Mathematics

Collection

2007 Annual Conference & Exposition

Authors

Josue Njock-Libii, Indiana University-Purdue University-Fort Wayne

Tagged Divisions

Mathematics

(3)This is the equation that is used in all the courses mentioned above. Its solution iss (t ) ? A sin(y n t ) - B cos(y n t ) (4)In this case, n is the circular frequency of the motion expressed in radians per second.After the initial conditions given in Eq (1a) are used in Eq (4), the constants A and B arefound to be given, respectively, by s$sA ? s s sin(y n t s ) - yn cos(y n t s ) s$ (5) B ? s s cos(y n t s ) / y sn sin(y n t s )In order to obtain a solution with a simple mathematical form, it is conventional to let gbe the maximum amplitude of

Conference Session

Mathematics in Transition

Collection

2007 Annual Conference & Exposition

Authors

Sandra Linder, Math Out of the Box; Donna Gunderson, Math Out of the Box/Clemson University

Tagged Divisions

Mathematics

push the the next have thirty pattern you blue. This equals number by tiles. You have on Students is called button three looking at the and your your help each the core. more times, pattern of the partner are magnetic other to One of what will numbers. going to board. make sure these your answer Don’t add in make a Look and they are colors is be? Make a your head; use pattern. 2.3 see which measuring the prediction. the other B one of the their element

Conference Session

Mathematics in Transition

Collection

2007 Annual Conference & Exposition

Authors

Nirmala Gnanapragasam, Seattle University

Tagged Divisions

Mathematics

AC 2007-2566: EXPLORING MATH THROUGH MATH COMPETITIONS AT THEELEMENTARY SCHOOL LEVEL: CASE STUDY OF A K-12 APPROACHNirmala Gnanapragasam, Seattle University Nirmala Gnanapragasam is an Associate Professor in the Department of Civil and Environmental Engineering at Seattle University. She is a geotechnical engineer and is a registered Professional Engineer in the State of Washington. She manages the senior capstone design program in the Civil and Environmental Engineering department, is active in engineering education research, consulting and in K-12 math education. Page 12.723.1© American Society

Conference Session

Project and Model-Based Mathematics

Collection

2007 Annual Conference & Exposition

Authors

John Schmeelk, Virginia Commonwealth University; Jean Hodges, Virginia Commonwealth University Qatar

Tagged Divisions

Mathematics

-brained visual or tactile learners based on observations of design students’characteristics and Linksman’s definitions of these super links. This study set out to test thatdeduction by recording students’ super links after administering Linksman’s tests fordetermining learning style and brain hemispheric preferences (see Appendices A and B). Thetests were given early in the term shortly after introducing the course and its project-directedconcept, and the results were discussed with the students, who also received handouts ofLinksman’s characterizations for each of the learning styles and brain hemispheric preferences.Because Arabic art and architecture are strongly influenced by geometrical designs, MATH 131includes several chapters of the

Conference Session

Project and Model-Based Mathematics

Collection

2007 Annual Conference & Exposition

Authors

Sharlene Katz, California State University-Northridge; Bella Klass-Tsirulnikov, Sami Shamoon College of Engineering (formerly Negev Academic College of

Tagged Divisions

Mathematics

said to be an m x n matrix, or a matrix of size "m byn".Matrix Addition and Subtraction: The sum (difference) of two matrices A and B is written A+B(A-B). Matrices must be the same size to be added or subtracted. The entries in the resultingsum A+B are aij + bij for i = 1 … m and j = 1 … n. The entries in the difference A-B are aij - bijfor i = 1 … m and j = 1 … n.Matrix Multiplication: Let A be an m x n matrix and B an r x p matrix. The product of these twomatrices, AB, is only defined if n = r. The resulting product C = AB is an m x p matrix inwhich: n cij = 1 aik bkj ; i=1...m; j=1...p k =1Transpose of a Matrix: The transpose of an m x n matrix A is

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2007 Annual Conference & Exposition

Authors

Shane Palmquist, Western Kentucky University

Tagged Divisions

Mathematics

) + C3 x + C4 Page 12.1545.5 b) Moment Area Theorems Component Graphical Description Governing Equations M( x ) M(x ) M(x) from statics due to w(x)Moment, EI EI a bSlope angle, xa/b b where, a/b M a b a/b = Ð

Conference Session

Applied Mathematics

Collection

2007 Annual Conference & Exposition

Authors

S.K. Sen, Florida Institute of Technology; Gholam Ali Shaykhian, NASA

Tagged Divisions

Mathematics

, thusimplementing the autocatalytic process. A Matlab code ( a modified version of the code in [6]) for Ant algorithm for TSP is:function [] = antalgorithm()D = load('cityloc.txt'); % The file cityloc.txt is n x 3 matrix% Each row of cityloc has three elements. The second and third% elements representing the numerical coordinates (location) of the city%while the first element is the numerical name of the city starting from 1.Ncity = length(D); % number of cities on tourNants = Ncity; % number of ants=number of cities (each b(i) is taken as 1)% Cities are located at (xcity, ycity)x = [D(1,2)]; y = [D(1,3)];for i=2:Nants, xcity=D(i,2); x=[x xcity]; ycity=D(i,3); y=[y ycity]; end;% Calculate distance matrixfor i=1:Ncity-1, for j=i+1:Ncity,if i==j, dcity(i,j

Conference Session

Mathematics in Transition

Collection

2007 Annual Conference & Exposition

Authors

John Gardner, Boise State University; Pat Pyke, Boise State University; Marcia Belcheir, Boise State University; Cheryl Schrader, Boise State University

Tagged Divisions

Mathematics

, mentoring, outreach, and women’s programs. She earned a B.S.E. degree in Mechanical Engineering from Duke University and a master’s degree in journalism from the University of California at Berkeley.Marcia Belcheir, Boise State University Marcia J. Belcheir is the Associate Director of the Office of Institutional Analysis, Assessment and Reporting at Boise State University. She earned a Ph.D. in Educational Measurement and Evaluation from the University of Florida. Her research interests focus on college student retention with a particular emphasis on classroom experiences and their relationship to retention.Cheryl Schrader, Boise State University Cheryl B. Schrader is Dean of the College of

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2007 Annual Conference & Exposition

Authors

Günter Bischof, Joanneum University of Applied Sciences, Department of Automotive Engineering,; Emilia Bratschitsch, Joanneum University of Applied Sciences, Department of Automotive; Annette Casey, Joanneum University of Applied Sciences, Department of Automotive Engineering,; Domagoj Rubesa, Joanneum University of Applied Sciences, Department of Automotive Engineering,

Tagged Divisions

Mathematics

)      1 v(t 2 )   a1  2  v&(t 2 )  M M   a  = − m  M  (4)   2    1 v(t ) 2   v&(t )   M   M  r ror shorter A a = b .If in the course of the investigations only the aerodynamics of a vehicle is altered and therolling resistance remains essentially unaffected during each run, the coefficient a1 shouldremain unchanged for all aerodynamic configurations. This requirement can be implementedinto the

Conference Session

Mathematics in Transition

Collection

2007 Annual Conference & Exposition

Authors

Anne McClain, University of Alabama-Birmingham; Dale Feldman, University of Alabama-Birmingham; Lee Meadows, University of Alabama Birmingham

Tagged Divisions

Mathematics

Assistant Director of Engineering. May 2005. (Accessed 01/15/2007) http://www.nsf.gov/attachments/104206/public/Final_Workforce.doc[3] Noeth, R. J., Cruce, T., and Harmston, M. T., Maintaining a Strong Engineering Workforce, ACT Policy Report, 2003.[4] Kilpatrick, J., Swafford, J., Findell, B., Adding It Up:Helping Children Learn Mathematics Editors: Mathematics Learning Study Committee, National Research Council. 2001.[5] Principles and Standards for School Mathematics. National Council of Teachers of Mathematics. 2000.[6] Parker, R. “Working Towards Mathematical Power”, A Heinemann Author’s Workshop, 1994.[7] Alabama Course of Study http://www.alsde.edu/html/sections/documents.asp?section=54&sort=3&footer=sections[8

Conference Session

Applied Mathematics

Collection

2007 Annual Conference & Exposition

Authors

Johann Misterio, William Dickinson High School; Krshna Ravindra, Johns Hopkins University; Rene D Rivero, New Jersey Institute of Technology; Henry McCloud, New Jersey Institute of Technology; Levelle Burr-Alexander, New Jersey Institute of Technology; Nuggehalli Ravindra, New Jersey Institute of Technology

Tagged Divisions

Mathematics

from equivalent L systems, IBM Journal Research& Development, Vol. 45, pp 797-805, Nov (2001).3. Benoit B. Mandelbrot, The Fractal Geometry of Nature, W.H. Freeman and Company, New York (2000).4. Edgar E. Peters, Fractal Market Analysis, John Wiley & Sons, New York (1994).5. J.W. Baish and R. K. Jain, Fractals and Cancer, Cancer Research, Vol. 60, pp 3683-3688, July (2000).6. A.L Goldberger, L.A.N. Amaral, J.M. Hausdorff, P.C. Ivanov and C.K. Peng, Fractal Dynamics in Physiology:Alterations with disease and aging, PNAS, Vol. 99, pp. 2466-2472, Feb (2002).7. K.M Iftekharuddin, et. al., A fractal analysis approach to identification of tumor in brain MRimages, Engineeringin Medicine and Biology Society, Proceedings of the 22nd Annual

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2007 Annual Conference & Exposition

Authors

Jenna Carpenter, Louisiana Tech University

Tagged Divisions

Mathematics

Conference4. N. A. Pendergrass, Robert E. Kowalczyk, John P. Dowd, Raymond N. Laoulache, William Nelles, James AGolen and Emily Fowler (1999), Improving First-year Engineering Education, Proceedings of the 1999 Frontiers inEducation conference, San Juan, Puerto Rico5. N. Fisher, S. Rankin, B. Saunders, and K. Millett (2006), Excellence in Undergraduate Mathematics:Confronting Diverse Student Interests, A Final Report, Retrieved January 16, 2007, fromhttp://www.math.uic.edu/~mer/pages/Excellencepage/Final_report-_EUM_proj..pdf. Page 12.914.6

Conference Session

Innovative Instruction Strategies in Calculus

Collection

2007 Annual Conference & Exposition

Authors

Jenna Carpenter, Louisiana Tech University; Ruth Ellen Hanna, Louisiana Tech University

Tagged Divisions

Mathematics

” is defined as “making an “A”, “B” or “C” in the course” (since all engineering andscience majors are required to earn a grade of “C” or higher in all math courses which areprerequisites for other courses).ALEKS is a web-based system (versus software-based) that can be accessed from any computerwith web access and a java-enabled web browser. The ALEKS syllabus for each course isaligned with the actual content of the syllabus for the corresponding course at our university. Page 12.1170.2Students who purchase an ALEKS access code and are provided a course code by the instructorof their mathematics class can then access the ALEKS program for

Conference Session

Innovative Instruction Strategies in Calculus

Collection

2007 Annual Conference & Exposition

Authors

Elton Graves, Rose-Hulman Institute of Technology

Tagged Divisions

Mathematics

AC 2007-1169: STUDENTS WITH CALCULUS CREDIT: WHAT CAN WE DO?Elton Graves, Rose-Hulman Institute of Technology Elton Graves is a member of the Mathematics Department at Rose-Hulman Institute of Technology, where he has taught since 1981. He received his doctorate in mathematics from Idaho State University in 1981. He co-authored the first $100,000 ILI Grant to incorporate the use of CAS into the teaching of calculus, and differential equations. He is currently the director of the Fast Track Calculus Program. Page 12.1324.1© American Society for Engineering Education, 2007

Conference Session

Innovative Instruction Strategies in Calculus

Collection

2007 Annual Conference & Exposition

Authors

Martha Allen, Georgia College & State University; Amy Kelley, Georgia College & State University

Tagged Divisions

Mathematics

AC 2007-1216: EMPHASIZING TEAMWORK AND COMMUNICATION SKILLSIN INTRODUCTORY CALCULUS COURSESMartha Allen, Georgia College & State University Dr. Martha Allen is an Associate Professor in the Department of Mathematics at Georgia College & State University in Milledgeville, Georgia. She received her Ph.D. in mathematics from the University of South Carolina in 2001. She was selected as a 2001-2002 Project NExT National Fellow. Project NExT (New Experiences in Teaching) is a Mathematical Association of America program for new or recent Ph.D.s in mathematics. Dr. Allen is currently serving as co-director of the MAA's Southeastern Section NExT program. In 2005, Dr. Allen was the recipient of the

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2007 Annual Conference & Exposition

Authors

John Quintanilla, University of North Texas; Nandika D'Souza, University of North Texas; Jianguo Liu, University of North Texas; Reza Mirshams, University of North Texas

Tagged Divisions

Mathematics

AC 2007-1878: INTEGRATION OF ENGINEERING CONCEPTS IN FRESHMANCALCULUSJohn Quintanilla, University of North Texas Associate Professor, Mathematics Department PhD, Princeton UniversityNandika D'Souza, University of North Texas Associate Professor of Materials Science and Engineering Department PhD, Texas A&M UniversityJianguo Liu, University of North Texas Associate Professor Mathematics Department PhD, Cornell UniversityReza Mirshams, University of North Texas Professor Reza Mirshams is Associate Dean of Engineering for Academic Affairs at the University of North Texas. Dr. Mirshams has degrees in Industrial Metallurgy and Metallurgical Engineering in the area of mechanical behavior of