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

Mathematics Division Technical Session 1

Collection

2016 ASEE Annual Conference & Exposition

Authors

Rebecca Bourn, University of Wisconsin - Milwaukee; Sarah Baxter, University of St. Thomas

Tagged Divisions

Mathematics

. Camaratta, Jr.lends itself as the background for questioning the process and application of creating solids.Students are asked to reflect on the process of creating an object’s profile, and what kinds offunctions are well-suited for that purpose. Students are also asked to explain the changes orcomplications that arise when using a vertical rather than horizontal axis.Instruction on calculating volumes using disks (washers) and shells can then proceed in the usualfashion, using a variety of problem solving examples that showcase both methods, presentrotation about either axis, and use either x or y as the variable of integration. The capstoneexperience for these sections is a laboratory-type experience where students analyze a collectionof actual

Conference Session

Mathematics Division Technical Session 2

Collection

2016 ASEE Annual Conference & Exposition

Authors

Aimee Cloutier, Texas Tech University; Jerry Dwyer, George Washington University; Sonya E. Sherrod, Texas Tech University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

resources are scarce, andmaterials for hands-on activities are not always available. Several hands-on activities wereimplemented in this program, and it is clear that some were more beneficial than others. Forexample, the activity to calculate the coefficient of restitution (COR) between various balls andvarious surfaces was hands-on and similar to a laboratory experiment. By contrast, theengineering design activity employed a discovery-based learning approach to keep studentsdeeply engaged and help them explore the steps of the engineering design process.Implementations of discovery-based design activities have been shown to be beneficial, as notedin the engineering education literature.25 It is possible that discovery-based learning played

Conference Session

Mathematics Division Technical Session 1

Collection

2016 ASEE Annual Conference & Exposition

Authors

Guenter Bischof, Joanneum University of Applied Sciences; Thomas Singraber B.Sc., Joanneum University of Applied Sciences; Christian J. Steinmann, HM&S IT-Consulting; Marton Szabo-Kass B.Sc., Joanneum University of Applied Sciences; Stefan Woerndl B.Sc., Joanneum University of Applied Sciences

Tagged Divisions

Mathematics

(bottom-up) dynamical models that track the behavior of individualatoms and molecules, and (top-down) continuum models like those of Navier-Stokes andCauchy that are applicable at the scale of millimeters and above. Can the continuum accountof the vibration behavior of an elastic body (i.e. a string or membrane in this paper) bereduced to the theory of its atomic constituents in the sense that we can derive the macroscalebehavior from the microscale (particle) theory?The upscaling of the model descriptions from atomic to laboratory scales usually takes placeby reduction. The individual description of elastically coupled particles reduces to continuummechanics by making use of appropriate mathematical limits, which seems to be justified

Conference Session

Mathematics Division Technical Session 3

Collection

2016 ASEE Annual Conference & Exposition

Authors

Edmund Tsang, Western Michigan University; Kenneth David Domingue, Western Michigan University ; Sarah Gray Hagen, Western Michigan University; Rebecca A. Scheffers, Western Michigan University; Lenore Yaeger; Katherine Fox, Western Michigan University

Tagged Divisions

Mathematics

2100 beginning 2016, thus allowing us more flexibility with its content. This provides an opportunity to incorporate more materials from the textbook, Studying Engineering by Raymond Landis, to give the student development aspects of the first-year seminar an engineering focus.Finally, the CEAS-EXEP Cohort program and the engineering math course are relativelyinexpensive to implement, and they could be used to support the Algebra II students alongsidewith or even in place of Summer Bridge, Peer Mentor or Alumni Mentor programs.AcknowledgmentThe authors wish to acknowledge the support of the National Science Foundation in thedevelopment of the engineering mathematics course through a grant from the Course Curriculumand Laboratory