AC 2011-1118: ASSESSING FIRST-YEAR CALCULUS KNOWLEDGE ANDSKILLS NEEDED FOR A SOPHOMORE STATICS AND DYNAMICS COURSEKristi J Shryock, Texas A&M University Kristi J. Shryock is a Lecturer and Director of Undergraduate Programs in the Department of Aerospace Engineering at Texas A&M University. She received both a B.S. and M.S. in Aerospace Engineering from Texas A&M and received her Ph.D. in Interdisciplinary Engineering at Texas A&M in May 2011. Her research work focuses on engineering education.Prof. arun r srinivasa, Department of Mechanical Engineering, Texas A&M University Prof Srinivasa obtained his undergraduate degree in Mechanical Engineering from IIT Madras in 1986. He subsequently
techniques ofmathematics and computer science to solve the problems arising in natural and social sciences aswell as various business and engineering fields. In recent years, the accessibility to highperformance computers and affordability of low cost clusters of microcomputers have resulted inthe surge of interest in development of new degree programs in the area of computationalsciences at universities across the country2-7. So to be part of the trend, the mathematicsdepartment at the our university had proposed13 a new degree program in ComputationalMathematics four years ago and got it finally approved in 2009. Our university is a highlyselective private masters granting technical institution that has a few well-established programsin aerospace
equations. Believingthat neither case is an accurate portrayal of the situation, the director of the EngineeringEducation Innovation Center at The Ohio State University formed a task group to address theseconcerns. The group currently has representation from mathematics, physics, and 3 differentengineering departments (mechanical and aerospace, electrical and computer, and the first-yearengineering program). Many members of the group already participate in weekly discussionsfocused on coordinating the math, physics, and engineering fundamentals courses that are part ofOhio State’s Fundamentals of Engineering for Honors program.As the task group considered various approaches to making the connections between math,science, and engineering coursework
Computer Engineering and the Mechanical Engineering Departments at the University of Wyoming. Email: janderso@uwyo.eduDavid Walrath, University of Wyoming David Walrath, Ph.D., P.E., earned his BSME and MSME degrees from the University of Wyoming in 1974 and 1975. He received his Ph.D. in Mechanical and Aerospace Engineering from the University of Delaware in 1986. He is currently a Professor of Mechanical Engineering at the University of Wyoming. His interests include solid mechanics and materials modeling and testing with emphasis on the study and use of fiber-reinforced composite materials. E-mail walrath@uwyo.edu
Engineering 30.2% University of Toronto Institute of Aerospace Studies 4.8% The Institute of Biomaterials and Biomedical Engineering 0.00% The Institute for Studies in Transdisciplinary Engineering Education and Practice 3.2%Table 1: FASE Respondents Department RepresentationThe survey asked respondents about the importance of general and specific skills required forundergraduate engineering and how competent undergraduate students are in these same skills. Theresults are summarized below in Table 1 and Table 3. The standard deviation is shown in brackets besidethe mean value
Paper ID #7565Improving Student Understanding and Efficiency through Technology Use inthe Differential Equations ClassroomDr. Catherine Matos, Clayton State University Dr. Catherine Matos is currently an associate professor of Mathematics at Clayton State University in Morrow, Georgia. She also serves as the Coordinator of Clayton State’s Dual Degree and Regents’ En- gineering Transfer Programs with Georgia Tech. She received her bachelor’s of Aerospace Engineering degree from Georgia Tech in 1994 and a Ph.D. in 2001. She recently completed a term serving as State Director for Georgia for the Southeastern Section of the
Paper ID #23730Motivation Building Strategies of Mathematics Instruction for Undergradu-ate Students in Mechanical EngineeringDr. Amitabha Ghosh, Rochester Institute of Technology (COE) Dr. Amitabha Ghosh is a licensed Professional Engineer with a Ph.D. in general engineering composite (Major: Aerospace Engineering) from Mississippi State University. He obtained his B.Tech. and M.Tech. degrees in Aeronautical Engineering from Indian Institute of Technology, Kanpur. He is a professor of Mechanical Engineering at Rochester Institute of Technology. His primary teaching responsibilities are in the areas of fluid mechanics
memorization. Integration of Maple to seewhat solutions look like."; and we "Learn a lot of insights into things other courses take forgranted like the heat equation and the wave equation." There are also unsolicited comments from students who have written the author afterhaving taken the course. One alumnus wrote: "I took your Boundary Value Problems course the first year you taught it, two springsago. I just started at Georgia Tech studying for a Ph.D. in Aerospace Engineering afterfinishing up in November, and thought you’d like to hear that had I not taken that course, Iwould be very lost in my Structural Dynamics course here. I actually have a test tomorrow,largely on the Euler-Bernoulli beam, which I remember from your class as a Sturm
Paper ID #26527Toward a T-Shaped Integration of Mathematics in Mechanical EngineeringDr. Amitabha Ghosh, Rochester Institute of Technology Dr. Amitabha Ghosh is a licensed Professional Engineer with a Ph.D. in general engineering composite (Major: Aerospace Engineering) from Mississippi State University. He obtained his B.Tech. and M.Tech. degrees in Aeronautical Engineering from Indian Institute of Technology, Kanpur. He is a professor of Mechanical Engineering at Rochester Institute of Technology. His primary teaching responsibilities are in the areas of fluid mechanics and aerodynamics. He is also a significant
Paper ID #14436An Engineering Mathematics Course to Improve Success of Students in Al-gebra IIDr. Edmund Tsang, Western Michigan University Edmund Tsang received a B.S. with distinction in Mechanical Engineering from University of Nebraska and a Ph.D. in Metallurgy from Iowa State University. Dr. Tsang’s current professional interests include integrating service-learning into engineering, social entrepreneurship, and student success and retention.Kenneth David Domingue, Western Michigan University Kenneth Domingue is currently a graduate student in Aerospace Engineering at Western Michigan Uni- versity. As a graduate
AC 2011-362: A LOOK AT STEM EDUCATION FROM THE TOP DOWNPeter J. Sherman, Iowa State University Professor received his Ph.D. in ME in 1984. Since that time he has conducted teaching and research in a wide variety of areas related to engineering, mathematics and statistics. He currently holds a joint appointment in the departments of aerospace engineering and statistics at Iowa State University. Page 22.57.1 c American Society for Engineering Education, 2011 A Look at STEM Education from the Top DownAbstractThis paper addresses STEM education issues, not in the
Paper ID #34513Work in Progress: Implementing Elements of Engineering Design intoCalculusDr. Salvador Mayoral, California State University, Fullerton Dr. Salvador Mayoral received his Ph.D. in Mechanical and Aerospace Engineering from the University of California, Irvine in 2013. As a graduate student, Dr. Mayoral worked on the shielding of jet noise by a hybrid wing body aircraft. In 2014, Dr. Mayoral joined the Department of Mechanical Engineering at California State University, Fullerton where he currently serves as an Assistant Professor. As the PI of the Wind Tunnel Laboratory, his research interests span the areas
2006-680: THE ROADMAP OF ARITHMETIC: SUMMING IT UPAndrew Grossfield, Vaughn College of Aeronautics Throughout his career Dr. Grossfield, has combined an interest in engineering design and mathematics. He earned a BSEE at the City College of New York. During the early sixties, he obtained an M.S. degree in mathematics at night while working full time during the day, designing circuitry for aerospace/avionics companies. He is licensed in New York as a Professional Engineer and is a member of ASEE, IEEE, SIAM and MAA. Ai207@bfn.org is his e-mail address. Page 11.1323.1© American Society for Engineering
Paper ID #16439Embedding Mathematics in Engineering Design ProjectsDr. Larry G. Richards, University of Virginia Larry G Richards is a Professor in the Department of Mechanical and Aerospace Engineering at the University of Virginia. He leads the Virginia Middle School Engineering Education Initiative, and is active in K 12 outreach and professional development activities locally and nationally. Larry’s research interests include creativity, entrepreneurship, engineering design, innovation, and K-12 engineering education. He is a founding member of the K-12 Division and is a Fellow of ASEE.Prof. Susan K. Donohue
AC 2011-2833: TEACHING ADVANCED ENGINEERING MATHEMAT-ICS TO GRADUATE STUDENTS: LESSONS LEARNEDKendrick T. Aung, Lamar University Dr. Kendrick Aung is an Associate Professor in the Department of Mechanical Engineering at Lamar Uni- versity. He received his Ph.D. degree in Aerospace Engineering from the University of Michigan in 1996. He has published over 80 technical papers and presented them in numerous national and international conferences. Page 22.1371.1 c American Society for Engineering Education, 2011 Teaching Advanced Engineering Mathematics to
AC 2010-390: THE NATURAL STRUCTURE OF ALGEBRA AND CALCULUSAndrew Grossfield, Vaughn College of Aeronautics Throughout his career, Dr. Grossfield combined an interest in engineering design and mathematics. He earned a BSEE at the City College of New York. During the early sixties, he obtained an M.S. degree in mathematics part time while designing circuitry full time in the aerospace/avionics industry. As a Graduate Associate, pursuing a doctoral degree at the University of Arizona, he was uniquely positioned as both a calculus teacher and as a student taking courses in applied mathematics. He prepared and attended lectures, concurrently, which developed his acute sensitivity to differences
Paper ID #5702Vertical assessment of math competency among freshmen and sophomore en-gineering studentsDr. Kendrick T. Aung, Lamar University KENDRICK AUNG is a professor in the Department of Mechanical Engineering at Lamar University. He received his Ph.D. degree in Aerospace Engineering from University of Michigan in 1996. He is an active member of ASEE, ASME, SAE, AIAA and Combustion Institute. He has published over 70 technical papers and presented several papers at national and international conferences.Dr. Ryan Underdown, Lamar University Dr. Underdown is an Associate Professor in the Industrial Engineering
Bass, The Citadel Patrick Bass is an assistant professor in the Department of Mechanical Engineering at The Citadel, in Charleston, SC. He received his B.S. degree in aerospace engineering from Embry-Riddle Aeronautical University, Daytona Beach, FL, in 2005, his M.E. degree in space operations from the University of Colorado, Colorado Springs, CO, in 2009, and his Ph.D. in materials engineering from Auburn University, Auburn, AL, in 2016. His main areas of research interest are electroactive polymers and space mechanics.Dr. Michael A. Matthews P.E., University of South Carolina Professor Matthews received his PhD from Texas A&M University in 1986. He was a member of the faculty at the University of Wyoming from
, the term "neural network" willrefer to this artificial neural network.Neural networks have applications in classification, pattern recognition, and functionapproximation problems. They are used in communications, aerospace, defense, financial,manufacturing, and medical applications. This paper will focus on an application of neuralnetworks in the area of pattern recognition: a simple character recognition system.The diagram for a single neuron in a neural network is shown in figure 1. A neuron usually Page 12.1557.5receives many simultaneous inputs, that are represented by the input vector of information, p.We assume that p is a column
Paper ID #5914Introducing Calculus to the High School Curriculum: Curves, Branches andFunctionsDr. Andrew Grossfield P. E., Vaughn College of Aeronautics & Technology Throughout his career Dr. Grossfield, has combined an interest in engineering and mathematics. He earned a BSEE at the City College of New York. During the early sixties, he obtained an M.S. de- gree in mathematics at the Courant Institute of NYU at night while working full time as an engineer for aerospace/avionics companies. He studied continuum mechanics in the doctoral program at the University of Arizona. He is a member of ASEE, IEEE and MAA
AC 2010-387: TECHNICAL ENROLLMENTS AND MATHEMATICALPEDAGOGYAndrew Grossfield, Vaughn College of Aeronautics Throughout his career, Dr. Grossfield combined an interest in engineering design and mathematics. He earned a BSEE at the City College of New York. During the early sixties, he obtained an M.S. degree in mathematics part time while designing circuitry full time in the aerospace/avionics industry. As a Graduate Associate, pursuing a doctoral degree at the University of Arizona, he was uniquely positioned as both a calculus teacher and as a student taking courses in applied mathematics. He prepared and attended lectures, concurrently, which developed his acute sensitivity to differences
in science and engineering 2 3today is the finite element method (see, e.g., Hughes , and Zienkiewicz ). The method, abbrev.FEM, originated from aerospace applications in the 1960s where large scale fuselage, wings, tailassembly, and engines needed a new tool to relate their complex geometry, materials properties,loadings and uncertainties to performance within a reasonable margin of safety. The method wasadopted by the nuclear power industry in the '70s and the automobile manufacturers in the '80s toimprove design and ensure safety of critical components and systems. Since then, a largenumber of proprietary, commerically-available4,5,6, and public domain7 FEM software
, mechanical, aerospace, andchemical engineering involve the study of interconnected dynamic systems modeled bydifferential or difference equations, such as feedback control systems. The traditional frameworkfor the analysis and design of such systems is based on the transfer function, which modelssingle-input single-output (SISO) linear time-invariant (LTI) systems. It can be defined by takingthe Laplace transform of a differential equation (in continuous time) or the z-transform of adifference equation (in discrete time).In the continuous LTI case, the differential equation may be written the form ua(D) = yb(D),where u ∈ C∞ is the input signal, y ∈ C∞ is the output signal, a, b ∈ R[x] are real polynomials withb = 0, and D is the differential
AC 2009-700: VISUAL ANALYSIS AND THE COMPOSITION OF FUNCTIONSAndrew Grossfield, Vaughn College of Aeronautics Throughout his career Dr. Grossfield has combined an interest in engineering design and mathematics. He studied Electrical Engineering at the City College of New York, graduating with a BSEE. During the sixties, he attended the NYU Courant Institute at night, obtaining an M.S. degree in mathematics, while designing circuitry full time during the day for aerospace/avionics companies. He earned his doctorate studying Continuum Mechanics under the direction of L. M. Milne-Thomson, CBE at The University of Arizona. He is a member of ASEE, IEEE, and MAA. Grossfield@IEEE.org is his email