Asee peer logo

Excel In Mathematics: Applications Of Calculus

Download Paper |

Conference

2010 Annual Conference & Exposition

Location

Louisville, Kentucky

Publication Date

June 20, 2010

Start Date

June 20, 2010

End Date

June 23, 2010

ISSN

2153-5965

Conference Session

Computers and Software in Teaching Mathematics

Tagged Division

Mathematics

Page Count

12

Page Numbers

15.548.1 - 15.548.12

Permanent URL

https://peer.asee.org/15744

Download Count

261

Request a correction

Paper Authors

biography

Cynthia Young University of Central Florida

visit author page

Cynthia Young is a Professor in the Department of Mathematics in the UCF College of Sciences and a Co-PI of the NSF-funded S-STEM program at UCF entitled the "Young Entrepreneur and Scholar(YES) Scholarship Program" as well as the NSF-funded STEP program entitled "EXCEL:UCF-STEP Pathways to STEM: From Promise to Prominence." Dr. Young's research interests are in the mathematical modeling of atmospheric effects on laser beams. She currently has projects with the Office of Naval Research and the Naval Research Laboratory investigating atmospheric propagation in the marine environment.

visit author page

biography

Michael Georgiopoulos University of Central Florida

visit author page

Michael Georgiopoulos is a Professor in the UCF School of Electrical Engineering and Computer Science and the PI of the NSF-funded S-STEM program at UCF entitled the "Young Entrepreneur and Scholar(YES) Scholarship Program" as well as the NSF-funded STEP program entitled "EXCEL:UCF-STEP Pathways to STEM: From Promise to Prominence." Dr. Georgiopoulos' research interests lie in the areas of machine learning, neural networks, pattern recognition and applications in signal/image processing, communications, medical field, manufacturing, transportation engineering, amongst others. Dr. Georgiopoulos is a Director of the Machine Learning Laboratory at UCF .

visit author page

biography

Tace Crouse University of Central Florida

visit author page

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 Research, evaluator for an NSF CAREER Grant, and Coordinator of Assessment for the "EXCEL-UCF-STEP Pathways to STEM: From Promise to Prominence" grant for two years.

visit author page

biography

Alvaro Islas University of Central Florida

visit author page

Dr Islas is a Lecturer in the Department of Mathematics in the UCF College of Science and the editor of the textbook used in the EXCEL class Applications of Calculus I intended to motivate students in
the STEM program. Dr. Islas is involved in the redesign of entry level courses in mathematics
to improve learning and reduced costs in higher education, particularly in the delivery of course to
a large numbers of students. Dr. Islas's research interests lie in the field of water waves and numerical
solutions to nonlinear partial differential equations.

visit author page

biography

Scott Hagen University of Central Florida

visit author page

Scott C. Hagen is an Associate Professor in the UCF Civil, Environmental and Construction Engineering department and co-PI of the NSF-funded STEP programs entitled "EXCEL:UCF-STEP Pathways to STEM: From Promise to Prominence" and "Collaborative Research: SCC Advance: Strengthening the Foundation of STEM Education for Seminole Community College. " Scott's research interests are primarily focused on high-performance computing of tidally driven flows in coastal and estuarine systems, including transport-related issues and hurricane storm tide modeling. In addition to NSF, his funding sources include FEMA, NOAA, NOPP, NASA, as well as numerous state agencies. Dr. Hagen is Director of the Coastal Hydroscience Analysis, Modeling and Predictive Simulations Laboratory at UCF.

visit author page

biography

Cherie Geiger University of Central Florida

visit author page

Cherie Geiger is an Associate Professor in the Department of Chemistry in the UCF College of Sciences and a Co-PI of the NSF-funded S-STEM program at UCF entitled the "Young Entrepreneur and Scholar(YES) Scholarship Program" as well as the NSF-funded STEP program entitled "EXCEL:UCF-STEP Pathways to STEM: From Promise to Prominence." Dr. Geiger's research interests are in the areas of developing novel materials and technologies for use in environmental remediation and degradation of hazardous compounds used in industry and the military. She currently has projects funded through the Department of Defense and industrial partnerships.

visit author page

biography

Melissa Dagley-Falls University of Central Florida

visit author page

Melissa Dagley Falls is the Director of Academic Affairs for the UCF College of Engineering and Computer Science and advisor to both undergraduate and graduate students within the college. Dr. Dagley Falls chairs the Admission, Advising, and Retention Committee (AARC) and serves on the assessment and activities teams of the NSF-funded STEP program entitled†EXCEL:UCF-STEP Pathways to STEM: From Promise to Prominence." Her research interests lie in the areas of student access to education, sense of community, retention, first-year experience, living-learning communities, and persistence to graduation for students in science, technology, engineering, and mathematics programs.

visit author page

biography

Patricia Ramsey University of Central Florida

visit author page

Patricia Ramsey is the Assistant Director of Institutional Research. Her duties include the development, data collection, editing and reporting of official data to external agencies, state agencies and federal survey agencies, in addition to supporting University units. She is currently involved in the development of dynamic reporting using SAS Business Intelligence tools. Patricia provides data support for various grant projects, including the NSF-funded S-STEM program at UCF entitled the "Young Entrepreneur and Scholar(YES) Scholarship Program" as well as the NSF-funded STEP program entitled "EXCEL:UCF-STEP Pathways to STEM: From Promise to Prominence."

visit author page

author page

Patrice Lancey University of Central Florida

Download Paper |

Abstract
NOTE: The first page of text has been automatically extracted and included below in lieu of an abstract

EXCEL in Mathematics: Applications of Calculus

Abstract

Nationally only 40% of the incoming freshmen STEM majors are successful in earning a STEM degree [1]. The University of Central Florida (UCF) EXCEL program is an NSF funded STEP (Science, Technology, Engineering and Mathematics Talent Expansion Program) whose goal is to increase the number of UCF STEM graduates. One of the activities that EXCEL has identified as essential in retaining students in science and engineering disciplines is the development and teaching of special courses at the freshman level, called Applications of Calculus I and Applications of Calculus II, or Apps I and Apps II, respectively. In Apps I and II, science and engineering professors are asked to lecture twice, as guest lectures, and to demonstrate to students where calculus topics appear in upper level science and engineering classes as well as where faculty use calculus in their research programs. This paper outlines the process used in producing the educational materials for Apps I and II courses (textbook, presentations slides, in-class homework assignments, demos) and it also discusses the assessment results pertaining to this specific EXCEL activity.

Introduction

The UCF EXCEL program is funded (2006-2010) by the National Science Foundation (NSF) under the auspices of STEP (Science Technology Engineering and Mathematics Talent Expansion Program) with the goal of increasing the number of U.S. citizens obtaining a B.S. degree in Science, Technology, Engineering, or Mathematics (STEM). In the book Talking About Leaving, Why Undergraduates Leave the Sciences (see [2]), a list of reasons has been provided, such as: (1) Discouraged/loss of confidence due to low grades in early years, (2) Morale undermined by competitive STEM culture, (3) Curriculum overload, fast pace overwhelming, (4) Poor teaching by STEM faculty, (5) Inadequate advising or help with academic programs, and (6) Loss of interest in STEM, i.e., “turned off by science.” The UCF EXCEL program addresses all of these reasons that affect student retention in STEM. In particular, to address reason 6 (loss of interest in science and engineering) EXCEL has developed two one-credit courses that are taught in tandem with Calculus I and II, called Applications of Calculus I and II (Apps I and II). These courses were developed as a result of studies that have shown that students increase their appreciation of calculus through applications in science and engineering [3-5]. Six science and engineering faculty, in coordination with the math faculty who teach the calculus topics, team teach the Apps I and II courses. In Apps I and II faculty demonstrate to students how a particular calculus topic is used in their future science and engineering courses or how the professor uses it in their own research. For example, a chemist has hands on demonstrations with reaction rates when discussing derivatives; a civil engineer focuses on the stresses on the football stadium when students bounce to Zombie Nation and how this application relates to the anti-derivative of a function; a molecular biologist discusses how he uses integration in his cancer research. Pre and post tests on the six calculus topics that the Apps I and II courses address are administered to both the experimental group (EXCEL students) and the control group (a group of non EXCEL students with similar academic backgrounds as the EXCEL students). The pre and post tests are graded by EXCEL funded graduate students

Young, C., & Georgiopoulos, M., & Crouse, T., & Islas, A., & Hagen, S., & Geiger, C., & Dagley-Falls, M., & Ramsey, P., & Lancey, P. (2010, June), Excel In Mathematics: Applications Of Calculus Paper presented at 2010 Annual Conference & Exposition, Louisville, Kentucky. https://peer.asee.org/15744

ASEE holds the copyright on this document. It may be read by the public free of charge. Authors may archive their work on personal websites or in institutional repositories with the following citation: © 2010 American Society for Engineering Education. Other scholars may excerpt or quote from these materials with the same citation. When excerpting or quoting from Conference Proceedings, authors should, in addition to noting the ASEE copyright, list all the original authors and their institutions and name the host city of the conference. - Last updated April 1, 2015