Conference Session

The Transition from Secondary to College Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Bert Pariser, Technical Career Institutes

Tagged Divisions

Mathematics

AC 2012-4138: TEACHING PYTHAGORAS’S THEOREM USING SOFT-WAREDr. Bert Pariser, Technical Career Institutes Bert Pariser is a faculty member in the Electronic Engineering Technology and Computer Science Tech- nology departments at Technical Career Institutes. His primary responsibility is developing curriculum and teaching methodology for physics, thermodynamics, electromagnetic field theory, computers, and databases. Pariser has prepared grant proposals to the National Science Foundation, which produced the funding for a Fiber Optics Laboratory. He served as Faculty Advisor to the IEEE and Tau Alpha Pi National Honor Society. Pariser was instrumental in merging Tau Alpha Pi National Honor Society into the ASEE. In

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Ashley Bernal, Rose-Hulman Institute of Technology; Jeffery J. Leader, Rose-Hulman Institute of Technology; Jessa B. Ward, Rose-Hulman Institute of Technology

Tagged Divisions

Mathematics

Paper ID #23553Creating Laboratories to Aid Student Modeling Ability in Calculus IDr. Ashley Bernal, Rose-Hulman Institute of Technology Ashley Bernal is an Assistant Professor of Mechanical Engineering at Rose-Hulman Institute of Technol- ogy. She received her PhD from Georgia Institute of Technology in 2011. She was an American Society of Mechanical Engineers (ASME) teaching fellow and Student Teaching Enhancement Partnership (STEP) Fellow. Prior to receiving her PhD, she worked as a subsystems engineer at Boeing on the Joint Un- manned Combat Air Systems (JUCAS) program. Her research areas of interest include

Conference Session

Use of Technology in Teaching Mathematics

Collection

2006 Annual Conference & Exposition

Authors

Peter Avitabile, University of Massachusetts-Lowell; Jeffrey Hodgkins, University of Massachusetts-Lowell; Tracy Van Zandt, University of Massachusetts-Lowell

Tagged Divisions

Mathematics

2006-728: INNOVATIVE TEACHING OF FOURIER SERIES USING LABVIEWPeter Avitabile, University of Massachusetts-Lowell Peter Avitabile is an Associate Professor in the Mechanical Engineering Department and the Director of the Modal Analysis and Controls Laboratory at the University of Massachusetts Lowell. He is a Registered Professional Engineer with a BS, MS and Doctorate in Mechanical Engineering and a member of ASEE, ASME and SEM.Jeffrey Hodgkins, University of Massachusetts-Lowell Jeff Hodgkins is a Graduate Student in the Mechanical Engineering Department at the University of Massachusetts. He is currently working on his Master’s Degree in the Modal Analysis and Controls Laboratory

Conference Session

Mathematics Division Technical Session 4

Collection

2018 ASEE Annual Conference & Exposition

Authors

Gianluca Guadagni, University of Virginia; Hui Ma, University of Virginia; Lindsay Wheeler, University of Virginia

Tagged Topics

Diversity

Tagged Divisions

Mathematics

Paper ID #23848The Benefit of Training Undergraduate Teaching AssistantsDr. Gianluca Guadagni, University of Virginia PhD in Mathematics University of Virginia Assistant Professor, Applied Mathematics, Department of Engineering and Society, School of Engineer- ing and Applied Sciences, University of Virginia.Dr. Hui Ma, University of Virginia Hui Ma received her Ph.D. in applied mathematics from the University of Alabama at Birmingham in 2012. Her current research focuses on the Errors-In-Variables (EIV) model and fitting geometric curves and surfaces to observed data points. Before joining the University of Virginia

Conference Session

Integrating Math, Science, & Engineering

Collection

2006 Annual Conference & Exposition

Authors

Stephen Pennell, University of Massachusetts-Lowell; Peter Avitabile, University of Massachusetts-Lowell; John White, University of Massachusetts-Lowell

Tagged Divisions

Mathematics

2006-915: TEACHING DIFFERENTIAL EQUATIONS WITH AN ENGINEERINGFOCUSStephen Pennell, University of Massachusetts-Lowell Stephen Pennell is a Professor in the Department of Mathematical Sciences at the University of Massachusetts Lowell.Peter Avitabile, University of Massachusetts-Lowell Peter Avitabile is an Associate Professor in the Mechanical Engineering Department and the Director of the Modal Analysis and Controls Laboratory at the University of Massachusetts Lowell. He is a Registered Professional Engineer with a BS, MS and Doctorate in Mechanical Engineering and a member of ASEE, ASME, IES and SEM.John White, University of Massachusetts-Lowell John R. White is a Professor in the

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2010 Annual Conference & Exposition

Authors

Brad Hunt, Norwood High School; Regina Lamendella, Lawrence Berkeley National Laboratory; Sara Garrison, Norwood City Schools; Andrea Burrows, The University of Cincinnati; Mike Borowczak, The University of Cincinnati; Anant Kukreti, The University of Cincinnati

Tagged Divisions

Mathematics

AC 2010-2133: GO WITH THE FLOW: DESCRIBING STORM WATER RUNOFFRATES USING THE DERIVATIVEBrad Hunt, Norwood High SchoolRegina Lamendella, Lawrence Berkeley National LaboratorySara Garrison, Norwood City SchoolsAndrea Burrows, The University of CincinnatiMike Borowczak, The University of CincinnatiAnant Kukreti, The University of Cincinnati Page 15.626.1© American Society for Engineering Education, 2010 Go With the Flow: Describing Storm Water Runoff Rates Using the DerivativeAbstractThis paper presents an innovative teaching approach, how it was implemented, studentresponses, results of the implementation, and the assessment of impact on

Conference Session

Computers and Software in Teaching Mathmatics

Collection

2011 ASEE Annual Conference & Exposition

Authors

Lin Li, Prairie View A&M University; Yonggao Yang, Prairie View A&M University

Tagged Divisions

Mathematics

contents3. Improve the delivery of laboratories and lectures, make abstract and non-intuitive mathematics concepts “visible”, “touchable”, and thereby, easy to understand4. Increase STEM students’ math course passing rate5. Foster students’ interest in mathematics, promote active learning, and motivate them to stay in STEM programsTo achieve the goal and objectives, the project consists of innovative technologies that enhancemathematics and engineering connection, simplify and speed up the process of complicatedconcepts delivery, as well as encourage critical thinking.Virtual Lab and Teaching Module Innovations1. Gaming and Virtual Reality Learning PlatformTo help students in mathematics courses, researchers from higher education have

Conference Session

Integrating Math, Science, and Engineering

Collection

2009 Annual Conference & Exposition

Authors

Hassan Moore, University of Alabama, Birmingham; Gregg Janowski, University of Alabama, Birmingham; Melinda Lalor, University of Alabama, Birmingham

Tagged Divisions

Mathematics

shifts of focus –from core mathematics toward applications and toward interdisciplinary work with the naturaland social sciences, from academic to industrial and laboratory settings, from individual self-directed work to collaborative and multidisciplinary effort, from technical communication withco-specialists to translational communication across disciplinary and cultural boundaries.” Many faculty members within the School of Engineering at the university were concerned withthe severe lack of critical understanding of rudimentary concepts in calculus and differentialequations. Students’ basic mechanics were generally strong since students were verycomfortable with equations once they took on the recognizable form shown in their earliercourses

Conference Session

Computers and Software in Teaching Mathematics

Collection

2010 Annual Conference & Exposition

Authors

Bertram Pariser, Technical Career Institute, Inc.; Cyrus Meherji, Technical Career Institute, Inc.

Tagged Divisions

Mathematics

correlations of sets of these data has been performed bymathematicians. By using Microsoft Excel to examine Gold and the Dow Jones IndustrialAverage we would like to find a method that would enable us to simplify and see the fluctuationsof the variables.IntroductionWe teach in the Electronic Engineering Technology department (“EET”), at TCI the College ofTechnology a two year college located in New York City. Our 4000 + students are 50% innercity and 50% foreign. It is one of the most diverse populations in NYC with over 100 differentlanguages spoken. The only place more diverse than TCI is the United Nations.The mathematic courses concentrate on applied math which is necessary for our EET students.Often the challenge exists of teaching students to

Conference Session

Computers and Software in Teaching Mathematics

Collection

2010 Annual Conference & Exposition

Authors

Cynthia Young, University of Central Florida; Michael Georgiopoulos, University of Central Florida; Tace Crouse, University of Central Florida; Alvaro Islas, University of Central Florida; Scott Hagen, University of Central Florida; Cherie Geiger, University of Central Florida; Melissa Dagley-Falls, University of Central Florida; Patricia Ramsey, University of Central Florida; Patrice Lancey, University of Central Florida

Tagged Divisions

Mathematics

Laboratory at UCF .Tace Crouse, University of Central Florida Tace Crouse is the Director of the Faculty Center for Teaching and Learning where she organizes faculty development activities for the university's full and part-time faculty and graduate teaching assistants. A major focus for the center is assistance with research design and data analysis for the Scholarship of Teaching and Learning projects of our faculty. In the area of assessment, Dr. Crouse currently serves as the Chair of the University Assessment Committee as well as having primary responsibility for the assessment of the General Education Program. She has served as reviewer for proposals for the Association for Institutional

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2007 Annual Conference & Exposition

Authors

Jenna Carpenter, Louisiana Tech University

Tagged Divisions

Mathematics

on pre- and post-test performance of integrated sectionsonly (collected during the process of course revision as a formative evaluation) shows thegreatest improvement in laboratory safety skills, with data on mastery of course content varyingfrom discipline to discipline. While this likely reflects the fact the differing rates ofimplementation of the course revisions in each of the disciplines during the time frame this datawas collected, differences in use of graduate teaching assistants in the labs and the varyingdegree of training they receive also may be contributing to this behavior. Data collected thisyear, after full implementation of content revision, should provide a clearer picture of studentperformance.ConclusionTraditionally

Conference Session

Mathematics Division Technical Session 1

Collection

2019 ASEE Annual Conference & Exposition

Authors

Erik A. Mayer, Pittsburg State University; Yaping Liu, Pittsburg State University; David Miller, Pittsburg State University; Jeremy Wade, PacificSource Health Plans

Tagged Divisions

Mathematics

-Disciplinary Laboratory Projects in a Calculus Course for Engineering Technology Students," Summer Teaching Innovation Grant Final Report, Pittsburg State University, Pittsburg, KS, March 29, 2017.[3] “Optimizing the calculus sequence for students in STEM.” [Online]. Available: http://resequencingcalculus.com . [Accessed February 4, 2019].[4] Y. Liu, E. Mayer, D. Miller, Engineering Calculus II Lab Manual for Sage Projects, Pittsburg State University, Pittsburg, KS, December 17, 2016.[5] “SageMath - Open-Source Mathematics Software System.” [Online]. Available: http://www.sagemath.org/ . [Accessed February 1, 2019].[6] “SME – EET Outcome Assessment.” [Online]. Available: http://www.sme.org/eet/ . [Accessed February 1, 2019].[7

Conference Session

First-Year Programs: Mathematics in the First Year

Collection

2019 ASEE Annual Conference & Exposition

Authors

Leroy L. Long III, Embry-Riddle Aeronautical University; Claudia Morello, Embry-Riddle Aeronautical University

Tagged Divisions

First-Year Programs, Mathematics

Paper ID #25316Using More Frequent and Formative Assessment When Replicating the WrightState Model for Engineering Mathematics EducationDr. Leroy L. Long III, Embry-Riddle Aeronautical University Dr. Leroy L. Long III is an Assistant Professor of Engineering Fundamentals at Embry-Riddle Aeronau- tical University in Daytona Beach, FL. He earned his PhD in STEM Education with a focus on Engineer- ing Education within the Department of Teaching and Learning at The Ohio State University (OSU). He earned his Master’s in Mechanical Engineering at OSU and his Bachelors in Mechanical Engineering at Wright State University. Dr

Conference Session

Mathematics in Transition

Collection

2006 Annual Conference & Exposition

Authors

Dale Buechler, University of Wisconsin-Milwaukee; Christopher Papadopoulos

Tagged Divisions

Mathematics

2006-1256: INITIAL RESULTS FROM A MATH-CENTERED ENGINEERINGAPPLICATIONS COURSEDale Buechler, University of Wisconsin-Milwaukee Assistant Professor Electrical Engineering Member ASEE, IEEE, BEMS 2007 ASEE Mathematics Division Chair-Elect 2006 ASEE Mathematics Division Program Chair Director ASEE Mathematics Division(2003 - Present) Who’s Who Among America’s Teachers Outstanding Teaching Award - College of Engineering and Applied Science (2000-2001) 1999 Science and Engineering Education Scholars Program Participant email: buechler@uwm.eduChris Papadopoulos, University of Wisconsin -Milwaukee Assistant Professor Civil Engineering and Mechanics

Conference Session

Mathematics Division Technical Session 1

Collection

2019 ASEE Annual Conference & Exposition

Authors

Guisela Alejandra Illescas Ms, Universidad Galileo; Alberth E. Alvarado, Universidad Galileo; Jose Roberto Portillo, Universidad Galileo

Tagged Divisions

Mathematics

known that Active Learning methodologies involve the students in their own learningand there is no doubt about their effectiveness in sharing knowledge with today’s students.Actually, undergraduate students taking traditional lecturing-based courses are 1.5 times morelikely to fail than those enrolled in courses where active learning methodologies are implemented[1]. Thus, our university has centered its attention on investigating, applying, improving anddesigning new active learning methodologies. Examples of such methodologies are: The MathOperatory Skills Laboratory (MOSL), introduced in [2], as a remedial mathematics course forfreshmen engineering students; and, the Guided-Lecture Team Based Learning (GL-TBL)targeted to teach mathematics

Conference Session

Using Computers, Software, and Writing to Improve Mathematical Understanding

Collection

2012 ASEE Annual Conference & Exposition

Authors

Bipin K. Pai, Purdue University, Calumet

Tagged Divisions

Mathematics

-1984, full-time. He was also Faculty Fellow at Argonne National Laboratory, to work on finite element analysis of polycrystalline arrays to determine grain boundary mechanics, Summer 1985; Faculty Fellow at Argonne National Labo- ratory, to work on finite element analysis of shipping casks in edge-drop impact tests, Summer 1987; and Faculty Fellow at Argonne National Laboratory, to work on finite element stress analysis of solid breeder blanket of tokamak fusion reactors – ITER (International Thermo-Nuclear Experimental Reactor) Pro- gram, Summer 1988. He won the Faculty Research Leave Award (Sabbatical Leave) at Argonne National Laboratory, to work on finite element stress analysis of Tokamak fusion reactor first

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Michael R. Allen, Department of Mathematics; Dale A. Wilson, Tennessee Technological University

Tagged Divisions

Mathematics

of the nature of the material andthe laboratory classes, I learned and learned well. I could see and touch and hear the results ofmy calculations. “A picture is worth a thousand words” can also be stated as “a concrete exampleis worth a thousand minutes of lecture”. Of course, for some courses the abstract and theoreticalnature of the material makes it a little harder to present such examples, but it really helps thelearner.Teaching Style Page 23.882.3 One major influence of this adventure was on my teaching style. I started using motivationalexamples in my classroom. These were not just examples taken from the end of the chapter wewere

Conference Session

Mathematics Division Technical Session 4

Collection

2018 ASEE Annual Conference & Exposition

Authors

Andrew H. Phillips, Ohio State University

Tagged Divisions

Mathematics

Graduate Teaching Associate for the Fundamentals of Engineering for Honors program, he is heavily involved with developing and teaching laboratory content, leading the maintenance of the in-house robotics controller, and managing the devel- opment of the robotics project. c American Society for Engineering Education, 2018 Technology’s Role in Student Understanding of Mathematics in Modern Undergraduate Engineering CoursesAbstractThis paper seeks to identify important implications on the use of technology in the teaching ofmathematics in modern undergraduate engineering courses. These are used to create a big pictureof the current situation of engineering mathematics teaching

Conference Session

Mathematics Division Technical Session 3

Collection

2017 ASEE Annual Conference & Exposition

Authors

Jose R. Portillo, Universidad Galileo; Alberth E. Alvarado, Universidad Galileo ; Jorge Samayoa Ranero, Galileo University

Tagged Divisions

Mathematics

Paper ID #18712MOSL: An Innovative Approach to a Supplementary Course of Mathematicsin EngineeringIng. Jose R. Portillo, Universidad Galileo Roberto Portillo is a mathematics professor and sub-director of the Teaching Assistants Department of Universidad Galileo in Guatemala. He holds a Bs. in Electronics and Computer Science and a Ms. in Operations Research. In several years he was awarded with the ”Excellence in Teaching” award. His current research interests are focused in Engineering Education.Dr. Alberth E. Alvarado, Universidad Galileo Alberth Alvarado received (with honors) the B.S. degree in Electronics and

Conference Session

Mathematics Division Technical Session 1

Collection

2018 ASEE Annual Conference & Exposition

Authors

Amitabha Ghosh, Rochester Institute of Technology (COE)

Tagged Topics

Diversity

Tagged Divisions

Mathematics

students fromfreshman through junior levels using a carefully redesigned curriculum of engineering sciencecore courses (ESCC) and a blended set of applied laboratories. ESCC consists of six core coursestaught by teams of ME faculty with clearly set educational objectives and managed by acoordinator and trained teaching assistants. Though essay type examination questions candemonstrate positive learning outcomes, multiple choice questions are better to pinpoint areas ofconceptual difficulties. After designing and adopting ESCC in 2006, faculty agreed that carefullydesigned multiple choice questions should form an integral part for all examinations in coreclasses. We frequently discuss performance data on conceptual questions and archive them

Conference Session

Mathematics Division Technical Session 3: Diversity in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Shuvra Das, University of Detroit Mercy; Kirstie A. Plantenberg, University of Detroit Mercy

Tagged Topics

Diversity

Tagged Divisions

Mathematics

only those topics from the entire Calculuscurriculum that are actually used in early engineering courses. Passing this course allows studentsto continue into freshmen and sophomore level engineering classes while they are still continuingto finish the traditional sequence of Calculus courses. This course was recently added to theengineering curriculum at University of Detroit Mercy’s (Detroit Mercy) engineering program.This paper discusses the course content and the experience of teaching it to the engineeringstudents, along with its impact on retention and student success. Specifically, data from the initialofferings is used to discuss the impact of this course on the students’ ability to handle engineeringscience courses without having

Conference Session

Innovative Instructional Strategies and Curricula

Collection

2010 Annual Conference & Exposition

Authors

Murray Teitell, DeVry University, Long Beach; William Sullivan, DeVry University

Tagged Divisions

Mathematics

lecture with little to nointeraction with the professor, curriculum or fellow students. In active learning, the student istasked with a higher level of ownership in regard to academic success. The professor activelyfacilitates learning through discussion, feedback and other interactive models and thus servesmore as a teaching mentor and guide rather than a traditional lecturer. An example of activelearning is a student providing a differential equation for a hydraulic system and then challengedto learn everything they need to know to solve it. Taking the lead from accreditation bodies,progress in a course is measured in terms of desired outcomes—skills and knowledge the studentshould possess upon completion. Achievement of the outcomes is then

Conference Session

Issues and Solutions in Mathematics Education

Collection

2010 Annual Conference & Exposition

Authors

Gisela Gomes, Universidade Presbiteriana Mackenzie; Janete Bolite Frant, Universidade Bandeirante; Arthur Powell, Rutgers University

Tagged Divisions

Mathematics

, Brazilian government concerned with the teaching for engineeringsponsored a project named PRODENGE – Program for Engineering Development. Thisprogram that aimed to support engineering programs at universities and the basic subjectssuch as Physics, Chemistry, Computing and Mathematics promoted the restructuring andmodernizing of teaching and research in Engineering (Longo, Rocha and Loureiro2). Itwas a partnership of the Coordination for Improving University Education Staff(CAPES), the Secretariat of University Education (SESU) and the National Council ofScientific and Technological Development (CNPq). The results of this effort, accordingto Longo3, should be measured not only by products generated by laboratories,educational material available

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

student achievement or motivation, itis to examine changes in instruction when teachers implement an inquiry-based program. To examine what traditional and inquiry practice look like in a classroom, it is necessaryto first define these terms. As stated previously, inquiry is most commonly associated with the Page 12.830.2theory of constructivism. Teaching through inquiry has its roots in education as early as thebeginning of the nineteenth century with John Dewey and his laboratory school8. Theorists likePiaget, Vygotsky, and Bruner examined cognitive development and advocated an activeeducational setting where students construct their own

Conference Session

Issues and Answers in Mathematics Education

Collection

2011 ASEE Annual Conference & Exposition

Authors

Peter J. Sherman, Iowa State University

Tagged Divisions

Mathematics

teachingbackground. Throughout his Ph.D. in mechanical engineering at the University of Wisconsin-Madison, he held teaching assistantships in the departments of mechanical engineering, electricalengineering, and mathematics. His primary duties were highly interactive, and includedlecturing, supervising and guiding students in laboratory settings, and guiding discussionsessions. Courses he was either solely or jointly responsible for included pre-calculus algebra,vibrations, acoustics, electrical communications, and instrumentation. During his tenure as afaculty in mechanical engineering at Purdue University, he taught a variety of courses in thesystems, instrumentation and controls division. He also developed and taught two cross-listedgraduate courses. One

Conference Session

Mathematics Division Technical Session 3

Collection

2016 ASEE Annual Conference & Exposition

Authors

James E. Lewis, University of Louisville; Gerold Willing, University of Louisville; Thomas D. Rockaway, University of Louisville

Tagged Divisions

Mathematics

and social cultures among the various STEM disciplines will undermine a ‘onesize fits all’ retention plan. Based upon departmental needs analyses and published research onpossible ‘fits’ from successful STEM initiatives at other institutions, we designed PRIMES toblend two general strands that would support these anticipated outcomes: 1. Transform Teaching and Learning: Improved retention as a result of expanding our undergraduate teaching assistance (UTA) programs and institutionalizing a formal UTA training pedagogy. A working knowledge in best practices will enable them to be both effective and engaging in the laboratory and/or classroom. 2. Increase Faculty and Student Interactions: Improved retention as a

Conference Session

Issues and Answers in Mathematics Education

Collection

2011 ASEE Annual Conference & Exposition

Authors

Paul J. Kauffmann, East Carolina University; Sviatoslav Archava, East Carolina University; Ricky T. Castles, East Carolina University; Heather L. Ries, East Carolina University; Stephanie T. Sullivan, East Carolina University; Karen A. De Urquidi, East Carolina University

Tagged Divisions

Mathematics

AC 2011-405: FACTORS IMPACTING POOR PERFORMANCE IN PRECALCULUSPaul J. Kauffmann, East Carolina University Paul J. Kauffmann is Professor and Chair in the Department of Engineering at East Carolina University. His industry career included positions as Plant Manager and Engineering Director. Dr.Kauffmann received a BS degree in Electrical Engineering and MENG in Mechanical Engineering from Virginia Tech. He received his Ph.D. in Industrial Engineering from Penn State and is a registered Professional Engineer in Virginia and North Carolina.Sviatoslav Archava, East Carolina University Sviatoslav Archava is a Teaching Assistant Professor at East Carolina University. Dr. Archava received a MA degree in Mathematics

Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Kristen L. Sanford Bernhardt P.E., Lafayette College; Mary Roth P.E., Lafayette College

Tagged Divisions

First-Year Programs, Mathematics

Paper ID #22569Using Concept Maps to Assess Student Learning in a Multi-Section Introduc-tion to Engineering CourseDr. Kristen L. Sanford Bernhardt P.E., Lafayette College Dr. Kristen Sanford Bernhardt is chair of the Engineering Studies program and associate professor of Civil and Environmental Engineering at Lafayette College. Her expertise is in sustainable civil infrastructure management and transportation systems. She teaches a variety of courses including sustainability of built systems, transportation systems, transportation planning, civil infrastructure management, engineering economics, and Lafayette’s

Conference Session

Integrating Math, Science and Engineering

Collection

2008 Annual Conference & Exposition

Authors

Josue Njock-Libii

Tagged Divisions

Mathematics

Eq.(3) is a reliable modelfor the oscillations of a mass that is suspended to a linear spring in a laboratory setting.The remainder of this paper is organized in the following manner: first, the Fouriertheorem is stated and its use in the present context is discussed. Then, the design of theexperiment is presented. Next, experimental data are presented and analyzed using theFourier theorem to generate the Fourier coefficients. Finally, these experimentalcoefficients are compared to those derived from the solution of the differential equationitself.The Fourier theorem and its useIf x(t) is a periodic function with period k, its Fourier series representation is given by a0x (t ) ? - (a1 cosyt - b1 sin yt ) - (a2 cos 2yt - b2 sin 2yt

Conference Session

Mathematics Division Technical Session 3

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Salvador Mayoral, California State University, Fullerton; Antoinette Sherrise Linton, California State University, Fullerton; Hassan Yousefi, California State University, Fullerton; Jidong Huang, California State University, Fullerton

Tagged Divisions

Mathematics

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