Asee peer logo
Well-matched quotation marks can be used to demarcate phrases, and the + and - operators can be used to require or exclude words respectively
Displaying results 1 - 30 of 79 in total
Conference Session
Using Applications and Projects in Teaching Mathematics
Collection
2012 ASEE Annual Conference & Exposition
Authors
David I. Spang, Burlington County College; Kathleen Spang, Middlesex Boro High School
Tagged Divisions
Mathematics
AC 2012-5124: REAL-WORLD APPLICATIONS OF MATHEMATICALAND SCIENTIFIC PRINCIPLES IN THE CURRICULUM FOR COLLEGEAND CAREER SUCCESSDr. David I. Spang, Burlington County College David Spang is the Vice President of Academic Programs at Burlington County College in Pemberton, N.J. Prior to being named Vice President, Spang served as Dean of the Science, Mathematics, and Tech- nology Division. Spang holds a Ph.D. degree in materials science and engineering and a M.B.A. degree, with a concentration in innovation and technology management. Prior to joining academia, Spang spent nearly 20 years in R&D and business development.Dr. Kathleen Spang, Middlesex Boro High School Kathleen Spang has been a high school educator for
Conference Session
Project and Model-Based Mathematics
Collection
2007 Annual Conference & Exposition
Authors
Dennis Berkey, Worcester Polytechnic Institute; Bogdan Vernescu, Worcester Polytechnic Institute
Tagged Divisions
Mathematics
12.67.1© American Society for Engineering Education, 2007 A MODEL FOR VERTICAL INTEGRATION OF REAL-WORLD PROBLEMS IN MATHEMATICSAbstractTraditionally, mathematics has served as a tool for engineers, entering the undergraduatecurriculum as something acquired by engineering students in their university tour outside theengineering units. While this strengthens the engineering student's intellectual arsenal, it makeslittle impression on the mathematics student not naturally inclined toward engineering.To stimulate the flow in the opposite direction, WPI has developed opportunities for students andteachers of mathematics to gain experience with the applications of mathematics in real worldsettings, in particular in
Conference Session
Mathematics Division Technical Session 1
Collection
2013 ASEE Annual Conference & Exposition
Authors
Ravi T. Shankar, Florida Atlantic University; Don Ploger, Florida Atlantic University; Agnes Nemeth, Florida Atlantic University; Steven Alan Hecht Ph.D., Nova Southeastern University
Tagged Divisions
Mathematics
would have no or minimal difficulty. If,however, the same mathematical expressions or equations are hidden in a context, many studentsdo not know how to start solving that problem.This aversion towards word problems and real world applications is not new; students havealways struggled with them. Even high achieving students who have mastered the math skillsthat lay behind a real life application problem would admit their difficulty and even disliketoward word problems. Some would even come to a standstill or simply give up whenencountered a more involving, multi-step problem where the math skill that needed to solve theproblem is not instantly obvious.III.B. Graphing Calculators and Robots in the Math Classrooms: In a peer reviewedresearch done
Conference Session
Mathematics Division Technical Session 2
Collection
2018 ASEE Annual Conference & Exposition
Authors
Leszek Gawarecki, Kettering University; Yaomin Dong, Kettering University; Gina Rablau, Kettering
Tagged Divisions
Mathematics
for solving many problems inphysics and engineering, examples will be provided in this course.”The use of real examples, data, and physical objects, helps the instructor to provide an informedanswer to students’ questions about applications of the theory and decrease the gap between thetheory and practical applications.  We have used real world problems to motivate students, to spark their curiosity, and show the course relevance in real life situations.  We have used examples from science, engineering, economics, and finance to demonstrate the relationship of integral calculus to various broad areas of interest to students.  We have used examples from future courses, especially in the area of engineering, to
Conference Session
Mathematics in Transition
Collection
2007 Annual Conference & Exposition
Authors
Anne McClain, University of Alabama-Birmingham; Dale Feldman, University of Alabama-Birmingham; Lee Meadows, University of Alabama Birmingham
Tagged Divisions
Mathematics
Engineering Applications for Middle School Mathematics Education: Supporting an Inquiry-Based Classroom EnvironmentAbstract - Engineering faculty at the University of Alabama at Birmingham are participating ina middle school mathematics partnership, involving nine school districts (administrators,teachers, parents) and higher education faculty at two universities, and the MathematicsEducation Collaborative (MEC). The partnership promotes inquiry-based learning curriculamodeled after the National Council of Teachers of Mathematics, Principles and Standards forSchool Mathematics. The engineering faculty contribution to the partnership lies in theconnection of mathematics to real world applications and to users of mathematics within
Conference Session
Mathematics Division Technical Session 3
Collection
2015 ASEE Annual Conference & Exposition
Authors
Seunghyun Chun, California Baptist University
Tagged Topics
Diversity
Tagged Divisions
Mathematics
in a well-known real world application helps the future STEM students understand math as a tool for innovation and supports the depth of leaning new mathematical concept such as root finding algorithms explored in this paper. Also by having an already configured setup where students can change out different algorithms will help students to focus on the mathematical concept being explored and will enhance their learning experience. In this paper a simulation approach was given but an actual experimental setup can be built to demonstrate the concept. This will enhance the student’s interest even more but need to be done under supervision due to high currents and voltages.Reference[1] Sterba, J
Conference Session
Improving the Mathematical Preparation of Students
Collection
2006 Annual Conference & Exposition
Authors
Shuki Aroshas, Technion-Israel Institute of Technology; Igor Verner, Technion-Israel Institute of Technology; Avi Berman, Technion - Israel Institute of Technology
Tagged Divisions
Mathematics
. A number of mathematics with applications textbooks has been recently published8-10,which implemented the following principles:- Topics are presented geometrically, numerically, analytically, and verbally.- Formal definitions and methods evolve from the investigation of practical problems.- The real world problems are open-ended and may have more than one solution.This paper reports a study of applications-integrated Multivariable Calculus course at theTechnion. In the study we developed and tested different methods of integrating applicationsin the calculus course without affecting its mathematical level and scope. The study examinedthe effect of learning applications on students' understanding calculus concepts and attitudestowards the
Conference Session
Mathematics Division Technical Session 5: From Functions to Big Data–A Hands-on Challenge
Collection
2020 ASEE Virtual Annual Conference Content Access
Authors
Rajendran Swamidurai, Alabama State University ; Cadavious M. Jones; Carl Pettis; Uma Kannan
Tagged Topics
Diversity
Tagged Divisions
Mathematics
UG Linear Algebra CourseTo facilitate the Big Data infusion and active learning in the linear algebra course, we employeda two-part module. The first part focused on theoretical and conceptual ideas behind the methodsunder discussion and the second part had hands-on experimentation using real-world data. Thestudents are advised to use both R and Python general-purpose programming languages tocomplete their projects. The students can also use MATLAB programming to perform theirproject as well as MS Excel.The initial set of topics in which we integrated big data analysis methods were chosen using twocriteria: suitability of material for pedagogical integration of big data methods and impact on allcomputing and Mathematics majors. Instructors
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
. Emerg. Technol. Learn., 2020, doi: 10.3991/ijet.v15i16.14179.[20] I. Hamadneh and A. Al-Masaeed, “Math teachers’ attittudes towards photo math application in solving mathematical problem using mobile camera,” Educ. Res. Rev., 2015.[21] K. A. A. Gamage, E. K. de Silva, and N. Gunawardhana, “Online delivery and assessment during COVID-19: Safeguarding academic integrity,” Educ. Sci., 2020, doi: 10.3390/educsci10110301.[22] Z. R. Khan and S. Balasubramanian, “Students go click, flick and cheat... e-cheating, technologies and more,” J. Acad. Bus. Ethics, 2012.[23] C. Webel and S. Otten, “Teaching in a World with PhotoMath,” Math. Teach., 2015, doi: 10.5951/mathteacher.109.5.0368.[24] N. Cox
Conference Session
Using Applications and Projects in Teaching Mathematics
Collection
2012 ASEE Annual Conference & Exposition
Authors
Julie Gainsburg, California State University, Northridge
Tagged Divisions
Mathematics
engineers don’t use math,” wouldseem unlikely to learn to use the mathematics well. Yet, young engineers who view engineeringas the routine application of known mathematical procedures, or who believe that mathematicsserves as the ultimate authority for engineering decisions, will be equally impeded in their effortsto attain engineering expertise. Although I developed the notion of skeptical reverence based onobservations of and interviews with structural engineers, it is reasonable to assume that thishybrid attitude towards mathematics and its role in real-world problem solving is instrumental tomany engineering and other mathematized fields. If so, it is important to understand howstudents develop it.Theoretical frameworkStudents’ dispositions
Conference Session
Using Applications and Projects in Teaching Mathematics
Collection
2012 ASEE Annual Conference & Exposition
Authors
Gunter Bischof, Joanneum University of Applied Sciences, Graz, Austria; Christian Steinmann, Joanneum University of Applied Sciences, Graz, Austria
Tagged Divisions
Mathematics
on the kinematic viscosity ν. From these parameters one can form essentiallyone dimensionless number, namely the Reynolds number V ⋅L Re = . νThe parameters V and L can be used to scale all quantities in the Navier-Stokes equation insuch a way that it does not contain any scale and only one dimensionless quantity, namely theReynolds number. Thus all flows of the same type but with different values of V, L and ν aredescribed by one and the same non-dimensional solution if their Reynolds numbers are equal.This dynamic similarity provides the link between flows in the real world where length ismeasured
Conference Session
Innovative Instruction Strategies
Collection
2006 Annual Conference & Exposition
Authors
Jonathan Lambright, Savannah State University
Tagged Divisions
Mathematics
. Page 11.1395.3Engineers use structured programs to solve real-world engineering-based problems.Applying programming skills gives students the reinforcement that engineering demands.(Versatile, well-rounded, enriched)--especially in the more general engineering field(mechanical).Instructional ApproachComputing Techniques and PrerequisitesThe “Computing Techniques” class was taught during the fall semester of the 2005 – 2006academic year. In teaching numerical methods, students were expected to have had a backgroundin programming such as MATLAB and be familiar with Microsoft applications such asMicrosoft Excel/Visual Basic. These tools were the foundation for the instructional approach.The students therefore should have taken the prerequisite
Conference Session
Mathematics Division Technical Session 2
Collection
2015 ASEE Annual Conference & Exposition
Authors
Patricia Salinas, Tecnologico de Monterrey (ITESM); Eliud Quintero, Tecnologico de Monterrey (ITESM); Pablo Guillermo Ramirez, Tecnologico de Monterrey (ITESM); Eduardo González Mendívil, Tecnologico de Monterrey (ITESM)
Tagged Divisions
Mathematics
Tangible User Interfaces (TUI) to Virtual Reality (VR). Augmented Reality(AR) is predominantly a real-world space in where virtuality is inserted in real time, and theenrichment of the real scene is done with virtual targets3.AR interfaces enable “ubiquitous computing” models, because students carry wireless mobiledevices can reach virtual information overlaid on physical landscapes in the real world. It is atype of mediated immersion that infuses digital resources through the environment. Thisenhances the experience and interaction of students, and researchers begin to concern how theselearning models can help students4.The interview with researcher Craig Kapp, from University of New York, is highly illustrative ofthe potential impact of AR in
Conference Session
The Use of Computers in Teaching Mathematics
Collection
2008 Annual Conference & Exposition
Authors
Jayathi Raghavan, Embry-Riddle Aeronautical University, Daytona Beach; Leslie Sena, Bethune Cookman College; Hong Liu, Embry-Riddle Aeronautical University, Daytona Beach; David Bethelmy, Bethune Cookman College
Tagged Divisions
Mathematics
purpose of the modules is to introducemathematical concepts through modeling real-world applications and is intended to develop thestudents’ ability to generalize a concept and to work with models of varying abstraction. Theauthors represent an interdisciplinary team contributing expertise from the fields of mathematics,computational science, and teacher education.IntroductionPostmodern technology is characterized by great complexity and demands tremendous modelingand abstraction capabilities. For students to be successful in most engineering program, theyshould be able to apply the mathematics to model this complexity1,2. Problem-solvingexperiences have been advocated for decades in numerous textbooks, reference articles, andteaching
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
multiple learning styles, andmore than 93% of STEP lessons contain a real-world application. While nearly 60% of lessonsdeal with societal or social impacts, less than one-third of the STEP lessons focus on connectingthe material to potential careers. Of interest was that only 16% of STEP lessons address potentialmisconceptions associated with lesson content, which may be explained by the evolution of thelesson plan development requirements as Project STEP has itself evolved over the last eightyears.Innovative LessonProject STEP’s Civil and Environmental Engineering Fellow, Gina Lamendella, worked inpartnership with Norwood High School teacher, Brad Hunt, to implement and critique this lessonin a Calculus course.In traditional Calculus courses
Conference Session
Integrating Math, Science and Engineering
Collection
2008 Annual Conference & Exposition
Authors
Hong Liu, Embry-Riddle Aeronautical University, Daytona Beach
Tagged Divisions
Mathematics
notgiven adequate emphasis on mathematical modeling 9, 2,8, 7, 6 . The increasing gap betweenproblems in the real world and problems in textbooks leads many engineers in the technologyindustry into believing that they can rarely use the college mathematics in their work places. Thenegative opinion of practicing engineers in turn misguides college students. It is clear that manycolleges have not adequately taught students how to formulate applications and model theirproblems by using the mathematics as a scientific language. Many problems in the real world aretoo complicated to be described by existing models and solved by existing formulas. It isdesirable to introduce some basic modeling methodology to college students so that they knowhow to
Conference Session
Mathematics Division Technical Session 2: Poster Presentations
Collection
2020 ASEE Virtual Annual Conference Content Access
Authors
Alexander Henderson, San Jose State University ; Alexander Garcia, San Jose State University
Tagged Divisions
Mathematics
improve STEM education in the U.S.? One step that can be taken is tointroduce projects that have a more practical implication in a student's everyday life.Mathematical courses alone are not elaborating on how relevant these subjects are to other futurecurriculums, courses, and applications. The same can be said of lower-level science courses. Byintroducing more group projects involving real-world problems to these students, the educationalsystem may catch the interest of students in how they can help in STEM-related projects run bytechnological and engineering groups. This type of method can be seen when we took anengineering approach to perform a volumetric analysis of a wine bottle.2. The Volume Calculation on the BottlePerforming this
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
. To speedthe courseware developing, we adopted 3DIVA Virtools software which provides a developmentplatform for quickly constructing virtual classroom and creating 3D virtual reality applications.2. Learning Module DevelopmentAll our learning modules are created based on real life or engineering problems. Generally, eachmodule consists of two components: (a) lecturing/tutoring; (b) exercise and quiz. Thelecturing/tutoring part is implemented as a virtual scene, in which the math topic is illustrated oranimated in 3D graphics. Audio is integrated to emulate tutor explanation. Students can interact Page 22.612.4with the objects in the virtual
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
, which,though expressed differently, support the finding of Schoenfeld9 that “the mathematicslearned in school has little or nothing to do with real world”. It will be important to further research about those beliefs because although statedby the students in this case study that the “School Mathematics is not applicable to dailylife” both of them were able to cope with a real engineer problem using the mathematicalskills they learned during their course.Bibliography1 White, H. W. (1912) The fifth International Congress of Mathematicians. Bulletin of the AmericanMathematical Society. 19(3), 124-129.2 Longo, W. P., Rocha, I., Loureiro, L. V. (1996). The Brazilian National Program for EngineeringDevelopment: Prodenge. Proceedings
Conference Session
Innovative Instructional Strategies and Curricula
Collection
2010 Annual Conference & Exposition
Authors
Jayathi Raghavan, Embry-Riddle Aeronautical University, Daytona Beach; Hong Liu, Embry-Riddle Aeronautical University, Daytona Beach
Tagged Divisions
Mathematics
. Our university has a 128-node cluster of computers funded through NSF to be used forundergraduate education and research. We and other colleagues from our department haveattended several workshops conducted by National Computational Science Institute, a majororganization involved in developing national initiatives to promote computational science in theK-12 and undergraduate curriculum 1. Our department had also sponsored some of thesesummer workshops. These workshops introduce resources and modeling and simulation toolslike Stella 12, Agentsheets, MATLAB, and Madonna to K-12 teachers and college faculty to helpstudents acquire computational thinking, abstraction and modeling skills that are essential tosolve real-world application problems
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
care of that.It seemed like a heavy load for both professors, and I would see why. But these guys did oneSomalia of a job.Yes, it seemed as though Dr. Moore was the applications man and Stolz was the mathematician.However, both were capable of the other’s job and did an excellent job teaching. Page 14.865.9Yes, while one taught the theories behind the concept, the other applied the material in areal−world situation. The two teaching methods of both instructors were coupled very well toeach other.Yes, it was a good balance. They were able to give us problems to work with class members afterexplaining them, and that helped. Both instructors had
Conference Session
Mathematics Division Technical Session 3
Collection
2015 ASEE Annual Conference & Exposition
Authors
Eliud Quintero, Tecnologico de Monterrey (ITESM); Patricia Salinas, Tecnologico de Monterrey (ITESM)
Tagged Topics
Diversity
Tagged Divisions
Mathematics
described by text or bya graphic. Application of the instrument lead us to reflect that, once the appropriation is achievedthrough the motion context, it could be easier for students to apply it without connection with areal context. It also reveals the difficulties for interpreting graphical information based on thederivative function. These findings are part of the overall results of a doctoral dissertationconcerning with the use of digital technologies for the learning of Calculus.Keywords: Calculus learning, digital technologies, linear motion, real context, mediation.BackgroundDigital technologies are important tools in our daily activities, and it looks easy to use them inclassroom to support learning. According to Hillman1, a lot of research
Conference Session
Engineering and Math Potpouri
Collection
2008 Annual Conference & Exposition
Authors
S.K. Sen, Florida Institute of Technology; Gholam Ali Shaykhian, NASA
Tagged Divisions
Mathematics
polynomial-timeproblems, genetic algorithms appear to be the only options for most real-world problems.Computational complexity The optimization of the function f (x) considered here is apolynomial-time problem and consequently the concerned gradient (deterministic) and genetic(randomized) approaches are all polynomial-time (i.e., fast). In this respect, all thesealgorithms are attractive and are without any significant edge of one category over the other.Accuracy, flexibility, and simplicity We are essentially concerned with practical application offunction optimization. We have considered typical problems including test ones and found thatthe genetic algorithms are significantly better than the gradient algorithms in terms ofaccuracy, flexibility
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
, some reasonable amount of real-world context was provided inorder to provide verisimilitude. We also noticed it was straightforward to develop problems that required the useof either definite or indefinite integrals in engineering applications. However, a typicalcalculus course does not even introduce integration until halfway through the semester,and students are typically not expected to be comfortable with definite integrals until onlytwo or three weeks remain in the course. For the first half of the class, finding realisticapplications that only required knowledge of only derivatives and not integration wasconsiderably more difficult. To impress upon first-year engineering students that calculus
Conference Session
Mathematics Division Technical Session 4
Collection
2015 ASEE Annual Conference & Exposition
Authors
Ravi T. Shankar, Florida Atlantic University; Jean Lapaix, Florida Atlantic University; Charles Perry Weinthal; Don Ploger, Florida Atlantic University; Malissa Augustin, Florida Atlantic University; Santiago Aguerrevere
Tagged Divisions
Mathematics
. Page 26.1242.13Discussion:This section details our earlier and current work, all focused on adapting our work to teach mathin middle and high schools and research associated with it. It will end with a brief outline of ourplans for integrating it all in the near future. An engineering section on how to further enhancethe accuracy of the robot using a network infrastructure is included above under ‘Results’ thoughit more appropriately belongs here. We did that to separate engineering and math aspects of theproject.Earlier Research Results from Student Interviews: We have conducted two case studies thatshow that some students are interested in the application of mathematics to real world problems.Following the spirit of the Common Core
Conference Session
Mathematics Division Technical Session 2: Poster Presentations
Collection
2020 ASEE Virtual Annual Conference Content Access
Authors
MiKyla Jean Harjamaki, Playful Learning Lab; Annmarie Thomas, University of St. Thomas; Krista Schumacher, University of St. Thomas; Abby Bensen, University of St. Thomas; Emma Michelle Monson, University of St. Thomas
Tagged Divisions
Mathematics
, activities, and educator support materials are designed for middle school and high schoolstudents and are tested in the classroom by teachers that work closely with the Sandbox teamduring the early stages of curriculum development. This paper will discuss the strategies used forrevealing the mathematical principles behind the engineering feats shown in the music videosand show how STEAM (science, technology, engineering, art, and math) concepts can be taughtin ways that promote real-world application of concepts and increase student engagement withmathematics and engineering.Who is OK Go? OK Go is a Grammy Award-winning rock band known for its elaborate music videos thatincorporate math, science, and art in exciting ways. Past videos have
Conference Session
The Use of Games and Unique Textbooks in Mathematics Education
Collection
2014 ASEE Annual Conference & Exposition
Authors
David Reeping, Ohio Northern University; Kenneth J. Reid, Ohio Northern University
Tagged Divisions
Mathematics
attrition rate in engineeringprograms, which is partially caused by poor math preparation13.By observation, trivial examples in which engineering formulas or geometry problems are citiedas authentic applications tend to be prefixed by "an engineer wants to..." While these "plug andchug" and abstract problems have a certain place in math texts, special attention needs to be paidto those involve problem solving. Despite the fact that "real world problems" can be considered abuzzword, using completed or in-progress real world projects as condensed Model ElicitingActivities (MEAs) could allow for authentic applications of mathematic knowledge in amultidisciplinary scenarios14.With all aspects of the literature in mind, the author set three main goals
Conference Session
Integrating Math, Science, & Engineering
Collection
2006 Annual Conference & Exposition
Authors
Leslie Keiser, University of Tulsa; William Hamill, University of Tulsa; Bryan Tapp, University of Tulsa; William Potter, University of Tulsa; Jerry McCoy, University of Tulsa; Peter LoPresti, University of Tulsa; Donna Farrior, University of Tulsa; Shirley Pomeranz, University of Tulsa
Tagged Divisions
Mathematics
INTERMATH3.ILAPs are interdisciplinary group problem-solving projects designed for undergraduates, co-written by mathematics faculty and science/technology/engineering faculty. These small groupprojects are designed to foster student interest by being lively. Being “lively” means that studentsare actively involved in and outside of class with project problem solving and/or hands-onactivities. ILAPs can motivate students to understand the connections between mathematicaltools/concepts and applications within the broader science and engineering fields. With theseprojects STEM students see real-world applications of mathematics in science and engineering.One of the main goals of the project was to produce assessment data on the effectiveness ofILAPs in
Conference Session
Mathematics Division Technical Session 3
Collection
2018 ASEE Annual Conference & Exposition
Authors
Carl Pettis, Alabama State University; Rajendran Swamidurai, Alabama State University; Ash Abebe, Auburn University; David Shannon, Auburn University
Tagged Divisions
Mathematics
extensively used in big data analytics. Manipulations of large matrices are usedin feature extraction, clustering, and classification. Matrix decomposition is used in principalcomponents analysis for dimension reduction. Similarly, application of eigenvectors used inGoogle’s PageRank method.Linked data are usually represented by a graph (vertices and edges). Notions such as centrality,shortest path, and reachability can be derived from the graph using graph analytics. A widelyused practical application of large graph analytics is the internet search engine. Discretemathematics topics such as visualizing big data as graphs (e.g. the World Wide Web),computation for strongly connected large graphs (e.g. PageRank for strongly connected graphs),and
Conference Session
Mathematics Division Technical Session 1
Collection
2015 ASEE Annual Conference & Exposition
Authors
Michael P. Hennessey, University of St. Thomas
Tagged Divisions
Mathematics
advanced topics that use PDEs and/or complex analysis, shouldthey go on to engineering graduate school in a rigorous program.Student Feedback: Feedback comes in 2 forms: (1) IDEA20 numbers and written comments,and (2) comments heard directly from students. As for IDEA feedback, the average courserating was “very good” and written comments have been generally positive. One student wrote“I feel much better at understanding the math behind engineering,” with the most negativecomment being “More problems that have real-world applications would be beneficial.” As foranecdotal feedback, one student who was back home visiting from his new graduate school feltthat he had an advantage over other engineering graduate students when studying the