AC 2009-214: SCRIPTS IN MATLAB FOR ANIMATION OF THE SOLUTIONS TOPARTIAL DIFFERENTIAL EQUATIONSRaymond Jacquot, University of Wyoming Ray Jacquot, Ph.D., P.E., received his BSME and MSME degrees at the University of Wyoming in 1960 and 1962 respectively. He was an NSF Science Faculty Fellow at Purdue University where he received the Ph.D. in 1969. He joined the Electrical Engineering faculty of the University of Wyoming in 1969. He is a member of ASEE, IEEE and ASME and has been active in ASEE for over three decades serving as Rocky Mountain Section Chair and PIC IV Chair. His professional interests are in modeling, control, simulation and animation of dynamic systems. He is currently Professor
leave from IISc, in several universities around the globe including University of Mauritius (Professor, Maths., 1997-98), Mauritius, Florida Institute of Technology (Visiting Professor, Math. Sciences, 1995-96), Al-Fateh University (Associate Professor, Computer Engg, 1981-83.), Tripoli, Libya, University of the West Indies (Lecturer, Maths., 1975-76), Barbados.. He has published over 130 research articles in refereed international journals such as Nonlinear World, Appl. Maths. and Computation, J. of Math. Analysis and Application, Simulation, Int. J. of Computer Maths., Int. J Systems Sci., IEEE Trans. Computers, Internl. J. Control, Internat. J. Math. & Math. Sci., Matrix &
thisengineering task are addressed. After that, the system animates the procedures of solving theproblem in 3D space. Finally, students will be allowed to navigate in the 3D space and solverandomly popped out questions related to the question.By clicking different “view” buttons, the software allows student to watch the tower fromdifferent angles to simulate what they feel in real world. Meanwhile, students may adjust theparameters for different A, B spots and the height of the tower to see the changes of θ1 and θ2.The module will prompt student to follow the tutorials to calculate the height and give students Page 22.612.5instant feedback. The snapshots
advantage of thecontinuum limit of a chain of masses connected by springs is that it is easily comprehensiblefor students and, in addition, many materials respond to small perturbations just as if theywere a system of coupled oscillators. This harmonic oscillator response to perturbations leadsin a continuum model to the appearance of wave phenomena.For the visualization of such wave phenomena, a computer program that simulates a two-dimensional spring-mass system has been developed within an undergraduate student project.The model consists of a rectangular lattice of regularly spaced point masses connected to eachother and to the rigid boundary by a network of massless springs. The force on each mass iscomputed due to its spring connections with
derivations, homework solutions, project reports, role-playing transcripts, online portfolios9Oral Reports: Slide presentations, speeches, white board presentations of proofs and derivations and solutions, question and answer sessions, and oral examinations.Demonstrations: Project demonstrations, applying equations to data, and analyzing real- time data using programsAnimations and Create computer animations and/or simulations of the phenomena e.g.Simulations periodic function, growth, expansion, and contraction.Performances: Video oral presentation, proofs, derivations, and solutions.When the
engineering problem. Inthe process the student teams are engaged in the following activities (as given to students): Understand and/or clarify step-by-step (e.g. fill-in missing steps) how applied mathematics is used to model an engineering system of interest Page 26.161.7 Create appropriate and mathematically correct simulation models using MATLAB incorporating relevant parameters With specific scenarios in mind, perform MATLAB simulation runs, plot results, and create animations Prepare a technical report (with CD of all relevant computer files) and make a short presentation to the class (you can
the causes for those differences. Students were then givena pre-assessment to ascertain their present level of understanding of the derivative and theconnectivity to fields in engineering particularly in storm water runoff.The class was divided into three groups to work on separate model simulations. The models werecreated using 11 in. x 14 in. x 3 in. cooking trays. Each tray represented a different watershed(urban, suburban and rural) and was lined with pea gravel and one inch deep play sand. A layerof one inch top soil was also added to each tray. The rural model was topped with grass; mossand hay over the soil, toy farm animals and a barn were added for effect. The suburbanwatershed was made to appear like a suburban neighborhood with a
Paper ID #9124A Departmental Initiative to Effectively Incorporate Technology Use in Engi-neering Mathematics Education: A Case StudyDr. Jeffrey Lloyd Hieb, University of Louisville Jeffrey L. Hieb is an Assistant Professor in the Department of Engineering Fundamentals at the University of Louisville and has been a faculty member since 2008. In 1992 Jeff graduated cum laude from Furman University with Bachelor degrees in Computer Science and Philosophy. Returning to his native Louisville, he worked for more than ten years in a family business before returning to graduate school in 2003. Jeff completed his Ph.D. in
featured choreographedtreadmill dances, massive Rube Goldberg machines, and stop motion animation using laser cuttoast. This paper will focus on engineering education materials and applications for two of theband’s videos: ● “The One Moment” music video incorporates high speed photography, projectile, and flip books to make a four-minute music video out of 4.2 seconds of footage. ● “Upside Down & Inside Out” music video was filmed while simulating the effects of microgravity through parabolic flight (see Figure 1). Figure 1: “Upside Down & Inside Out” music video includes members of OK Go in microgravity.What is OK Go Sandbox? Because of
toanother, but they typically have trouble integrating the information from these various sourcesinto a larger cohesive framework. Studies in chemistry education demonstrate the promise oftactile models and computer simulations to help scaffold students’ development of RC [15], [16].We have leveraged the relatively recent boom in 3D printing technology to create physicalmanipulatives to use in the integral calculus classroom. These tactile tools are designed to beused in conjunction with activity sheets, and help provide a concrete focal point for students to“get their hands dirty” while investigating the concepts being learned. Our intervention aims tohelp students become more aware of the different representations in ideas through the use of
technological platforms. Focus on the students and their learning, emphasis on collaborative work, use of didactic techniques, enhance of the process by the use of digital technologies and use of computers favoring active student participation are goals that guide her work. As a member of Tecnol´ogicos faculty several awards had been granted by the institution on the acknowledgment of her teaching performance and research activities related to analyze and reflect on the educational process. She coauthored several textbooks for the learning of Pre-College Mathematics and Calculus. Recently the Textbook Series of Ap- plied Calculus has been published by Cengage Learning offering an innovative approach to the teaching and
Analytical Courses," co-authored with Dr. John Schmeelk at the April 2006 meeting of Middle East Teachers of Science, Mathematics and Computing (METSMaC) in Abu Dhabi. Page 12.1199.1© American Society for Engineering Education, 2007 PROJECT-DIRECTED MATHEMATICSAbstractThe authors examine the learning preferences work of Ricki Linksman, founder of the NationalReading Diagnostic Institute in the United States and author of How to Learn Anything Quickly.In an earlier study, they theorized that female MATH 131 students at Virginia CommonwealthUniversity Qatar (VCUQ) were probably visual and tactile right-brained
concepts, activities, and applications. In response to question 1,teachers listed concepts like: motor vehicle design, skateboarding, anything gross, fashion, sportsperformance (equipment and technique), genetics, artificial skin, recycled materials, stormproofing, military combat systems, roller coasters, music, environmental issues, how thingswork, technology, and biology. Teachers listed activities like: field trips; model rockets; outdooractivities; hands on manipulation, construction, and experiments; speakers in the classroom;simple computer aided design and animation. In response to question 2, teachers listed conceptslike: hypothesis testing, cooperative learning, problem solving, small group or individual projectsrelated to student