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

Conference Session

Mathematics Division Technical Session 2

Collection

2017 ASEE Annual Conference & Exposition

Authors

Hui Ma, University of Virginia; Gianluca Guadagni, University of Virginia; Stacie N. Pisano, University of Virginia, School of Engineering and Applied Science; Bernard Fulgham, University of Virginia; Monika Abramenko, University of Virginia; Diana D Morris, University of Virginia

Tagged Divisions

Mathematics

develop the confidence in their own ability to do mathematics and to make mathematics a joyful and successful experience.Dr. Gianluca Guadagni, University of Virginia PhD in Mathematics University of Virginia Lecturer, Applied Mathematics, Department of Engineering and Society, School of Engineering and Ap- plied Sciences, University of Virginia.Stacie N. Pisano, University of Virginia, School of Engineering and Applied Science After receiving a Master of Science in Electrical Engineering from Stanford University, Stacie Pisano worked as an Electrical Engineer and Technical Manager at AT&T and Lucent Technologies Bell Labo- ratories for 16 years, designing and developing telecommunications equipment for 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

student learning. Thefindings are based on surveys given to the students before and after the lesson taught inpartnership with university and community members.The purpose of this lesson was for students to discover how engineers use derivatives to solvereal-world engineering problems. Students measured urban, sub-urban, and rural storm waterrunoff volume to generate three different storm water runoff graphs using Microsoft Excel. Next,students generated the derivative graph to discover differences in rates of change of water runoffwithin these three watershed scenarios. The class then discussed how to relate their storm waterrunoff data to watershed characteristics, identified challenges associated with increased runoffrates in a urban setting

Conference Session

Innovative Instructional Strategies

Collection

2008 Annual Conference & Exposition

Authors

Sabina Jeschke, University of Stuttgart; Akiko Kato, Technische Universitaet Berlin; Olivier Pfeiffer, Technische Universitaet Berlin; Erhard Zorn, Technische Universitaet Berlin

Tagged Divisions

Mathematics

AC 2008-2703: EARLY BIRD - TEACH MATHEMATICS BEFORE PROBLEMSARISESabina Jeschke, University of Stuttgart After receiving her M.Sc. in Physics at the Berlin University of Technology in 1997, graduating with distinction, Sabina Jeschke worked as an assistant teacher at the department for mathematics and natural sciences and earned her doctorate in 2004. Holding a scholarship from the German National Academic Foundation, she spent several months of research at the NASA in Moffet Field, CA. In 2000 and 2001, S. Jeschke worked as an instructor at the GaTech (Georgia Institute of Technology, Atlanta). Since 2005, Sabina Jeschke has been associate professor for "New Media in Mathematics and

Conference Session

Bridging and Freshman Programs

Collection

2008 Annual Conference & Exposition

Authors

Phillip Mlsna, Northern Arizona University; Janet McShane, Northern Arizona University; Jennifer Maynard, Northern Arizona University; Maya Lanzetta, Northern Arizona University; Chester Ismay, Northern Arizona University; Sarah Brown, Northern Arizona University

Tagged Divisions

Mathematics

AC 2008-1697: MATHEMATICS SKILLS ASSESSMENT AND TRAINING INFRESHMAN ENGINEERING COURSESPhillip Mlsna, Northern Arizona University Dr. Phillip Mlsna is an Associate Professor in the Department of Electrical and Computer Engineering at Northern Arizona University. His research interests are primarily in image processing, image analysis, computer vision, and engineering education. He has extensive industry experience as a computer hardware design engineer.Janet McShane, Northern Arizona University Dr. Janet McShane is Chair of the Department of Mathematics and Statistics at Northern Arizona University. Her research interests are primarily in group theory, commutative algebra and

Conference Session

Mathematics Division Technical Session 1

Collection

2016 ASEE Annual Conference & Exposition

Authors

Roes Arief Budiman P.Eng., University of Calgary

Tagged Divisions

Mathematics

Paper ID #15903Using Card Games for Conditional Probability, Explaining Gamma vs. Pois-son Distributions, and Weighing Central Limit TheoryDr. Roes Arief Budiman P.Eng., University of Calgary Received PhD in Materials Science and Engineering at University of Toronto in 2001. Currently a Senior Instructor at University of Calgary and have been teaching Probability & Statistics for Engineers course in the past three years. Maintain a small research group (1 PhD, 1 MEng) on pipeline failure and reliability. c American Society for Engineering Education, 2016 USING CARD GAMES FOR CONDITIONAL

Conference Session

Mathematics Division Technical Session 3

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Zeynep Akcay Ozkan, City University of New York, Queensborough Community College; Dona Boccio, City University of New York, Queensborough Community College ; Dugwon Seo, City University of New York, Queensborough Community College ; Sirin Budak, Univeristy of Wisconsin-Stevens Point

Tagged Divisions

Mathematics

). Dr. Akcay Ozkan’s research interests include Online Teaching of Mathematics. She has completed several workshops on online teaching since 2016. She mentors fac- ulty members as they develop their online or partially online courses and assesses their courses with the Quality Matters Rubric. She has served in the eLearning Committee of the college in chair and secretary positions. She is a member of the Math Department’s Best Practices in Teaching and Learning Committee since 2017, and served in chair and secretary positions.Dr. Dona Boccio, City University of New York, Queensborough Community College Dr. Dona Boccio has a Ph.D. in Mathematics from the City University of New York Graduate Center, and an M.S. in

Conference Session

Integrating Math, Science and Engineering

Collection

2008 Annual Conference & Exposition

Authors

Hong Liu, Embry-Riddle Aeronautical University, Daytona Beach

Tagged Divisions

Mathematics

Course Option within an Ordinary Mathematics Course for Undergraduate students in Engineering MajorsAbstractIn order to attract talented students, many selective small universities have established honorsprograms in recent years 10,13 . However, because it is difficult for those small universities toschedule enough honors program students to fill all the seats of a regular-sized class, it is oftentoo costly to offer sufficient honors courses for students in an honors program alone. A costeffective solution to this problem is to allow students who are not in the honors program to takeany seats that may remain after the honors students have registered. An alternative is to offer anhonors course option in a regular non-honors course by

Conference Session

Mathematics Division Technical Session 4

Collection

2018 ASEE Annual Conference & Exposition

Authors

Andrew H. Phillips, Ohio State University

Tagged Divisions

Mathematics

Paper ID #23944Technology’s Role in Student Understanding of Mathematics in Modern Un-dergraduate Engineering CoursesAndrew Phillips, The Ohio State University Andrew H. Phillips graduated summa cum laude from The Ohio State University in May 2016 with a B.S. in Electrical and Computer Engineering and with Honors Research Distinction. He is currently fin- ishing his M.S. in Electrical and Computer Engineering, and then he will pursue a Ph.D. in Engineering Education. His engineering education interests include first-year engineering, active learning, learning theory, and teaching design, programming, and mathematics. As a

Conference Session

Mathematics Division Technical Session 3

Collection

2016 ASEE Annual Conference & Exposition

Authors

Larry G. Richards, University of Virginia; Susan K. Donohue, University of Virginia

Tagged Divisions

Mathematics

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

Conference Session

Innovative Instruction Strategies

Collection

2006 Annual Conference & Exposition

Authors

John Schmeelk, Virginia Commonwealth University

Tagged Divisions

Mathematics

applications in allareas of research including medical research. A patient can be diagnosed as having ananeurysm by studying an angiogram. An angiogram is the visual view of the bloodvessels whereby the edges are highlighted through the implementation of edge detectors.This process is completed through convolution, wavelets and matrix techniques. Someillustrations included will be vertical, horizontal, Sobel and wavelet edge detectors.I. IntroductionTo help motivate this paper, we provide an introduction to some interesting problems inimage processing implementing matrix techniques, partial derivatives and convolutions.Section (2) provides an introduction to matrix and partial derivatives and how they areapplied to the pixels to obtain the gray level

Conference Session

Bridging and Freshman Programs

Collection

2008 Annual Conference & Exposition

Authors

Dale Buechler, University of Wisconsin-Platteville; Christa James-Byrnes, University of Wisconsin - Barboo/Sauk County

Tagged Divisions

Mathematics

education for some students. Of interest is the role of two-year colleges in thepreparation of such engineering students. This study looks at the relative success (GPA andretention) of 297 engineering students who took mathematics coursework at one of the system’sthirteen two-year colleges and then transferred to one of the three universities within the systemthat have multiple ABET accredited engineering programs. Over half of these students wereinitially placed at a level of pre-calculus or below. The success of these students is compared tolike groupings of engineering students who went directly to one of the three system engineeringschools. This study will look at the relative success of students as a function of initial mathplacement. In

Conference Session

Mathematics Division Technical Session 2

Collection

2016 ASEE Annual Conference & Exposition

Authors

Aaron Brakoniecki, Boston University; Michael Ward, Boston University; Gretchen Fougere, Boston University

Tagged Divisions

Mathematics

Paper ID #16670Using the Engineering Design Process to Complement the Teaching and Learn-ing of MathematicsDr. Aaron Brakoniecki, Boston University Dr. Aaron Brakoniecki is a Lecturer at Boston University. His research focuses on preservice teachers’ uses of technology (specifically, the Internet) to support their learning of mathematics. He is also involved with the Noyce BEST project at BU, which focuses on training engineers to become mathematics teachers in high needs classrooms.Mr. Michael Ward, Boston University Michael Ward is currently entering his senior year of Mechanical Engineering while simultaneously earn

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Stacie Pisano, University of Virginia; Hui Ma, University of Virginia; Bernard Fulgham, University of Virginia; Gianluca Guadagni, University of Virginia; Diana D Morris, University of Virginia; Monika Abramenko, University of Virginia

Tagged Divisions

Mathematics

Paper ID #23750Redesigning the Calculus Curriculum for Engineering StudentsStacie Pisano, University of Virginia After receiving a Master of Science in Electrical Engineering from Stanford University, Stacie Pisano worked as an Electrical Engineer and Technical Manager at AT&T and Lucent Technologies Bell Labo- ratories for 16 years, designing and developing telecommunications equipment for the business market. After moving to Charlottesville, VA, she had the opportunity to teach Multivariable Calculus for UVA SEAS, and she was hooked. She has been teaching Applied Math from that point on and enjoying every

Conference Session

Improving the Mathematical Preparation of Students

Collection

2006 Annual Conference & Exposition

Authors

Mark Inlow, Rose-Hulman Institute of Technology

Tagged Divisions

Mathematics

violations and IID violations are much more difficult to handle, theIID assumption is the more crucial of the two.In spite of this fact, we believe introductory statistics courses for engineers, and thecorresponding texts, neither adequately stress the importance of the IID assumption nor provideadequate tools for assessing it. Our belief is based on observing students in upper level statisticscourses unthinkingly apply IID analysis methods to data which is blatantly non-IID. We becameaware of the extent of this problem when students in an advanced statistics course, after spendinga week on time series analysis, blithely computed a confidence interval for the mean of thefollowing nonstationary data using the IID formula

Conference Session

Improving the Mathematical Preparation of Students

Collection

2006 Annual Conference & Exposition

Authors

Elton Graves, Rose-Hulman Institute of Technology

Tagged Divisions

Mathematics

school with advanced placement credits in mathematics to take additional mathematicscourses beyond the courses required for their major.Creating courses and tracts of interestOver the past few years the Rose-Hulman Mathematics Department has made several changes toencourage students to take upper level mathematics courses. One of the major changes was tochange the courses required to get a degree in mathematics. Until the late 1900’s Rose had onlyone tract for a degree or major in mathematics. We have now split this into four different tracts.Our first tract is for the traditional mathematics major who wants to go to graduate school andearn and masters degree or doctorate in mathematics. This tract is not a tract that would interestmost

Conference Session

Bridging the Gap and Freshman Programs

Collection

2009 Annual Conference & Exposition

Authors

Sabina Jeschke, University of Stuttgart; Akiko Kato, Technische Universitaet Berlin; Olivier Pfeiffer, Technische Universitaet Berlin; Erhard Zorn, Technische Universitaet Berlin

Tagged Divisions

Mathematics

AC 2009-1665: PREFRESHMAN STUDENTS GEARING UP WITH EARLY BIRDSabina Jeschke, University of Stuttgart After receiving her M.Sc. in Physics at the Berlin University of Technology in 1997, graduating with distinction, Sabina Jeschke worked as an assistant teacher at the department for mathematics and natural sciences and earned her doctorate in 2004. Holding a scholarship from the German National Academic Foundation, she spent several months of research at the NASA in Moffet Field, CA. In 2000 and 2001, S. Jeschke worked as an instructor at the GaTech (Georgia Institute of Technology, Atlanta). Since 2005, Sabina Jeschke has been associate professor for Media in Mathematics and Natural

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