AC 2010-97: THE MATHEMATICS OF FINANCIAL MARKETSBertram Pariser, Technical Career Institute, Inc.Cyrus Meherji, Technical Career Institute, Inc. Page 15.1241.1© American Society for Engineering Education, 2010THE MATHEMATICS OF FINANCIAL MARKETS Page 15.1241.2AbstractWe are all aware of the tremendous upheaval that has taken place in the financial markets overthe last year. Well established banks and brokerage house have failed and had to be liquidated ormerged. Is it possible to model the financial markets to help understand the relationship;between the most dynamic variables, Gold, The Dow Jones Industrial Average.Using mathematics to look for
to the academic and career goals of thestudent. This began the active learning process. An example of “The Frame” is illustrated in Figure 1. The student has an interest in howdiseases spread. The student’s career goal was to go into a biomedical field. The studentresearched the process and found a set of differential equations that model the spread of diseasefor a particular and general case.5,6Figure 1. “The Frame” utilized in the context of the spreading of disease. Susceptible βI Infected g Recoveredβ = transmission rate, B = birth rate, d = death rate, R0 = reproductive rate (rate that infectedpersons cause new infected persons), g = recovery rate, S, I and R are the populations of thethree
about mathematical work than other students.12The lowest mean of 2.88 shows that engineering students felt that calculus was not a usefultool they would use regularly during their engineering courses and careers. Attitudes towardmathematics indicated students’ perceptions of the usefulness of mathematics.13 Theimportance or relevance a student attaches to his/her study of mathematics is related to his/her perception of its usefulness. The usefulness of calculus for educational and career goals isone factor affecting participation in mathematics. A better understanding of the importance ofcalculus in a wide range of careers and in engineering education is important for students asthey make decisions about how much mathematics to take in
engineering or aviation majors. So, acomputational mathematics degree was proposed taking the essence of these similar degreeprograms and adapting them to the strengths of our university.Computational Mathematics Degree ProgramAs mentioned earlier our university is a selective private masters granting technical university.The purpose of our university is “..to provide a comprehensive education to prepare graduates forproductive careers and responsible citizenship with special emphasis on the needs of aviation,aerospace, engineering, or related fields…”. To achieve this, the following education goalswere developed for the degree program with focus areas in computational engineering andsciences. a. The degree program will ensure that students
research to an understandable andinteresting K-12 level. This process instills better communication skills in the STEP Fellows andbreaks any reservations of working with the K-12 environment once employed as a university Page 15.626.2faculty member. The secondary goal of Project STEP was to impact student learning by relatingSTEM content to urban city issues through the use of hands-on, technology-driven, inquiry-based projects that also relate to desired curriculum standards. Students need an understanding ofSTEM and the reasons to pursue STEM careers; over 3,000 students have been exposed toSTEM lessons in the past three years with Project STEP
AC 2010-387: TECHNICAL ENROLLMENTS AND MATHEMATICALPEDAGOGYAndrew 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
lead to understandingthe relevancy and importance of a solid background in mathematics. Moreover, this knowledgeis necessary for aviation students to attain success in their aviation careers. The researchersdesire to create a learning environment and meaningful course for the students. They not onlywant to teach the content of the courses to be understandable and meaningful, but also enhancethe ability of the students to develop and process the current information to formulate new ideas,concepts, and use in subsequent courses. “Learning is not just a process of taking in newinformation, ideas, and skills, but the new material is reconstructed by the mind.”9 By engagingand motivating the students, they will not only attain academic success
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.Cherie Geiger, University of Central Florida 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
tournaments and the College World Series two times andat the professional level (National League) a couple of times. Throughout this lengthy career, Igathered numerous stories to share (See Appendix A). Here are three abbreviated sample storiesused: 1. The pitching coach at WSU, while objecting to my strike zone, kicked dirt on the entire plate. He proceeded to uncover a two inch space down the middle of the plate and commented that was my strike zone! What percentage of the plate did he uncover? 2. While umpiring a major league game, Davey Johnson the manager of Cincinnati, questioned why a pitch was not called a strike which would have resulted in strike three. The batter hit the next pitch for a home
computer programming. Coincidently the 2008 – 2009 employment and labor report by the U.S. Bureau of Labor Statistics predicts the need for engineers with programming experience will be one of the careers with the largest numerical increase and demand. This research outlines: 1) the need for engineering in k-12 environments, 2) analyzes the reasons for which schools have had a difficult time fully integrating engineering into school curriculum, 3) proposes a mixed content and pedagogical approach to teaching engineering and programming based on a hands-on inquiry approach, and 4) outlines additional benefits of using a blended content approach such as this (e.g., improved student
described in this paper is an attempt in this direction by streamlining and optimizingthe symbiotic educational relationship between mathematics and engineering.II. Mathematics in a Crowded CurriculumAn engineering curriculum must support its degree program objectives, satisfy all accreditationrequirements, and ensure successful professional engineering careers for its graduates. In order tosatisfy these conditions, engineering schools have established curricula that include sets ofcourses in each of the four categories illustrated in Figure 2. Page 15.883.3 Figure 2. Components of a modern curriculumThis diagram illustrates the existing overlap between the four main components of a
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
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