world,” McKinsey Global Institute, December 2016 8. Data Science, Statistics, Mathematics and Applied Mathematics, Operations research, and Astronomy @ Unisa: A complete guide to preparing yourself for career opportunities, University of South Africa 9. Ross Sparks, Adrien Ickowicz and Hans J. Lenz, “An Insight on Big Data Analytics,” Springer International Publishing Switzerland 2016, Japkowicz and J. Stefanowski (eds.), Big Data Analysis: New Algorithms for a New Society, Studies in Big Data 16, DOI 10.1007/978-3-319-26989-4_2 10. Roger Peng, “Statistics and Big Data,” The American Statistical Association 11. Blum, M. G. and Tran, V. C., “HIV with contact tracing: a case study in approximate
after finishing the course. It was important to explorewho these students were and what they did after leaving the discipline. Table I summarizes somedata for all the students who left the program. Based on the best information that was available itseems six students dropped out and there is no information about their current status (indicated as“dropped out” in the table). Seven students changed major and are pursuing other career optionsranging from a degree in Mathematics to Cybersecurity. These are very good outcomes becausethe earlier the students can determine their true calling the better it is. If math is the reason fortheir switching (and as the table indicates that it probably is not the reason for everyone) it is goodto be able to do
areinterested to see if the time it takes to complete the engineering mathematics sequence, students’performance in core courses in their major discipline, and the graduation rate might bettermeasure of the impact of educational technology adoptions on teaching and learning, especiallyif some other factors such as part-time employment, college preparedness, and enthusiasm forengineering as a career are controlled for. Developing the database, surveys, and infrastructureto gather and track this type of assessment information is the next critical step.References1. Budny, D., LeBold, W. & Bjedov, G. Assessment of the impact of the freshman engineering courses. J. Eng. Educ. 405–411 (1998). at 2. Ohland, M. W., Yuhasz, A. G. & Sill
AC 2012-4538: FLUID DYNAMICS SIMULATION USING CELLULARAUTOMATADr. Gunter Bischof, Joanneum University of Applied Sciences, Graz, Austria Throughout his career, Gnter Bischof has combined his interest in science, engineering and education. He studied physics at the University of Vienna, Austria, and acquired industry experience as development engineer at Siemens Corporation. Currently, he teaches Engineering Mathematics and Fluid Mechan- ics at Joanneum University of Applied Sciences. His research interests focus on vehicle aerodynamics, materials physics, and engineering education.Mr. Christian Steinmann, Joanneum University of Applied Sciences, Graz, Austria Christian Steinmann has an engineer degree in mathematics
course had been taught for several years before the authorvolunteered to start teaching the course in the spring of 2002. The course was an electivecourse and was not required of any major in the institute. The course enrollment during thespring of 2000 was six students. In 2001 the enrollment was also six students. In 2002 theauthor decided that one of the problems with enrollment was that the students didn’t reallyknow about the course and that the students also didn’t understand that the course wouldbe useful in their engineering careers. Thus, the following e-mail was sent to all student. "MA 336 Boundary Value Problems will be offered during the spring term. If you are aChemE, EE, ME, Math, or Physics major this course may be of interest
2006 he was tenured and promoted to the rank of Associate Professor. Mike gained 10 years of industrial and academic research lab experience at 3M, FMC, and the University of Minnesota prior to embarking on an academic career at Rochester Institute of Technology (3 years) and Minnesota State University, Mankato (2 years). Mike holds a Bachelor of Mathematics from the University of Minnesota (with distinction), an MS in Mechanical Engineering from MIT, and a Ph.D. in Mechanical Engineering from the University of Minnesota. He is also a member of ASME, SIAM, and ASEE. Page 22.1046.1
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
. Spang, D., and Spang, K., “Real-World Applications of Mathematical and Scientific Principles in the Curriculum for College and Career Siccess,” Proceedings of 2012 ASEE Annual Conference and Exposition, San Antonio, Texas, June 2012.13. Brown, E., and Ries, H., “The Engineering-Math Committee: A Successful Collaboration at East Carolina University,” Proceedings of 2009 ASEE Annual Conference and Exposition, Austin, Texas, June 2009.14. Samayoa, J., and Zelada, C., “Using MediaWiki to Enhance Mathematics Learning in Engineering Schools,” Proceedings of 2012 ASEE Annual Conference and Exposition, San Antonio, Texas, June 2012.15. Snyder, V., and Meriam, J., “The mechanics readiness test – A study of student preparedness
semester I was happy (at first) when Idiscovered that I had saved all of my calculus notebooks from the late 1960s, when I was anundergraduate and took my first calculus courses. I was less happy when I also discovered somegraded homework and tests with comments such as “This work is not good”, which I suppose isa gentle was of saying “this is nonsense, tear it up and start again” (a comment which I didreceive on some graded graduate school homework later in my academic career). There wereColumbia University graded calculus tests from my four-semester calculus sequence; 1B, 2B,3B, and 4B; and some material with questions involving metric spaces and compact sets (which Icannot even imagine covering in the calculus courses that I currently teach
, it is unusual to find resources made available to improve spatialskills. The findings of Wai et al. (2009) raise spatial skills development as a potentiallyfruitful way to make STEM education and careers more attractive and to improve grades andretention rates in engineering education.Figure 1. Analysis of Project TALENT data to show relative position of spatial scores toverbal and math scores for different disciplines; V = Verbal, S = Spatial and M =Mathematical ability; (Figure B1 taken from (Wai et al., 2009)).One of the most interesting findings from spatial ability research, and which is also veryimportant for engineering educators to be aware of, is the sizeable and significant gender gapin favour of males – on average, males get
to Teaching and Learning the Normal Distribution Daniel Raviv and Daniel Barb College of Engineering and Computer Science Florida Atlantic University Emails: ravivd@fau.edu, dbarb@fau.eduAbstract Probability and Statistics is a pervasive topic in many careers. Engineers, medicalprofessionals, and other specialists use Statistics to analyze data and determine courses of action.People utilize the basic concepts of probability to make decisions in their everyday lives. Despitethis, many students struggle with Probability and Statistics in classroom settings. The equationsand mathematics can be overwhelming or frustrating
Paper ID #12476Correlation between engineering students’ performance in mathematics andacademic successDr. Gunter Bischof, Joanneum University of Applied SciencesAndreas Zw¨olfer, University of Applied Sciences Joanneum, Graz Andreas Zw¨olfer is currently studying Automotive Engineering at the University of Applied Sciences Joanneum Graz. Prior to this he gained some work experience as a technician, also in the automotive sector. On completion of his studies, he intends to pursue a career in research.Prof. Domagoj Rubeˇsa, University of Applied Sciences FH JOANNEUM, Graz Domagoj Rubeˇsa teaches Engineering Mechanics and
struggling to keep upwith the mastery of pre-college mathematical skills needed prior to pursuing their engineeringcore courses.BackgroundMathematics is an important tool by which the concepts of science and technology can beexplained and modelled on pen and paper. The mastery of mathematics allows for the study –besides pushing the frontiers – of science and technology. Students who wish to pursue a degreein a STEM-related field must have adequate knowledge and proficiency in mathematics to besuccessful in their STEM career. Therefore, STEM students are expected to have the adequatepreparation in mathematics prior to participating in a STEM degree program.The Organization for Economic Cooperation and Development (OECD) administers its Programfor
Paper ID #29164Exposing undergraduate engineering students to nonlinear differentialequations using a practical approach in project based learningenvironments ¨Dr. Gunter Bischof, Joanneum University of Applied Sciences Throughout his career, Dr. G¨unter Bischof has combined his interest in science and engineering applica- tion. He studied physics at the University of Vienna, Austria, and acquired industry experience as devel- opment engineer at Siemens Corporation. Currently he is an associate professor at Joanneum University of Applied Sciences and teaches engineering and applied mathematics.Mr. Maximilian Brauchart
AC 2007-976: FACILITATING ENGINEERING MATHEMATICS EDUCATION BYMULTIDISCIPLINARY PROJECTSGünter Bischof, Joanneum University of Applied Sciences, Department of Automotive Engineering,Graz, Austria Throughout his career, Dr. Günter Bischof has combined his interest in science and engineering application. He studied physics at the University of Vienna, Austria, and acquired industry experience as development engineer at Siemens Corporation. Currently he teaches engineering mathematics in the Department of Automotive Engineering, Joanneum University of Applied Sciences, and conducts research in automotive engineering and materials sciences.Emilia Bratschitsch, Joanneum University of Applied Sciences
Guide calls for an ability to “read and communicate mathematics with clarity,”“write and speak mathematically,” “contribute effectively to group efforts,” and “communicatemathematics clearly in ways appropriate to career goals.”2 Page 12.598.2At our institution, Georgia College & State University (GCSU), we have about 90 mathematicsmajors. Roughly half of our math majors are pre-engineering majors. While we do not have aformal engineering major, we offer a transfer program in conjunction with the Georgia Institute ofTechnology. Calculus courses at GCSU are four credit hours, and a semester consists of fifteenweeks. Four credit hour courses
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
. Many students come to the College directly afterhigh school, while others bring a variety of living and work experiences to their studies. The Page 22.1377.2average age ranges from 25 years old in the day classes to approximately 31 years old in theevening courses. Some students take conventional college programs, planning to transfer to afour-year institution after graduation, while other students sign up for associate degree orcertificate programs leading directly to employment in specialized career fields. Also,significant numbers of students at NECC enroll in developmental and second language coursesto upgrade their skill sets before pursuing
have embarked(since the inception of project (January of 2006)) in an aggressive marketing campaign to informUCF STEM applicants and their parents of the benefits in participating at the EXCEL program atUCF (e.g., guaranteed housing, block scheduling, exposure to the applications of Calculus fromearly on in their college careers, tutoring and personalized attention at the EXCEL Center,amongst others). The details of the EXCEL marketing strategies to recruit students are discussedin later sections of this paper. In summary, EXCEL has received in 1142 applications (06, 07 and08) and has recruited 565 students into the program.To achieve the second objective, the EXCEL faculty have designed a carefully thought out setof educational activities
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
. However, engineering students require a more mathematically rigorouspresentation. This paper presents a method for teaching the topic of infinity in freshman levelmathematics course on discrete mathematics for engineering students, based on the ideas ofbijection and equivalency within the topic of set theory. We also present some ideas of how theconcept of infinity can be targeted in the K-12 environment.I. IntroductionAs part of long-standing efforts to enhance engineering education, the ASEE surveyed prevailingtrends in K-12 education1. Aiming to determine teachers' attitudes towards engineering as anintellectual and career challenge for their students, the ASEE study reveals an interestingparadox. It discovers that an overwhelming majority of
IntroductionEvery measurable quantity in the physical sciences is a tensor. Mass, distance, time, position,velocity, acceleration, momentum, force, torque, work, energy, pressure, charge, the electric andmagnetic fields, temperature, heat, entropy, stress, strain, moment of inertia, curvature—these areall tensor quantities. Every time we write down an equation, perform a calculation, take ameasurement, run a simulation, or perform an experiment, we are dealing with tensors in one wayor another. Indeed, the very laws that govern the universe are most conveniently formulated astensor differential equations. It is therefore no exaggeration to say that, as scientists andengineers, we work with tensors on a day-to-day basis throughout our entire careers. And so
plan, conduct, and assess a class session. Pedagogical expertise in thiscontext includes such aspects as supporting the psychological and emotional well-being of thestudents, engaging students in the learning process, and adapting to meet the needs of individuallearners. Individuals are located within the framework based on the relative importance theyassign to each of these types of expertise.Figure 2: Beijaard, Verloop, and Vermunt’s model of teacher identity through a personal knowl- edge perspective.Early career secondary mathematics teachers typically cluster along the pedagogical/didacticalaxis, with experienced secondary teachers moving towards the center of the triangle 5 .Mathematics graduate programs traditionally take the