Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Adetoun Oludara Yeaman, Virginia Tech; Diana Bairaktarova, Virginia Tech; Tamara Knott, Virginia Tech

Tagged Divisions

First-Year Programs, Mathematics

Paper ID #21999Developing a Coding Rubric for Students’ Spatial Visualization StrategiesMrs. Adetoun Oludara Yeaman, Virginia Polytechnic Institute and State University Adetoun Yeaman is a second year PhD student in Engineering Education at Virginia Polytechnic Institute and State University (Virginia Tech). She received here MS in Mechanical and Nuclear Engineering and her BS in Biomedical Engineering both from Virginia Commonwealth University. She is currently a Graduate Research Assistant. In her first year, she taught two semesters of a freshman engineering course series, Foundations of Engineering. Her research

Conference Session

Mathematics Division Technical Session 3

Collection

2015 ASEE Annual Conference & Exposition

Authors

Emre Tokgoz, Quinnipiac University; Gabriela C. Gualpa, Quinnipiac University

Tagged Divisions

Mathematics

Paper ID #12661STEM Majors’ Cognitive Calculus Ability to Sketch a Function GraphDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and a Ph.D. in Industrial and Systems Engineering at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on an IRB approved pedagogical study to observe undergraduate and graduate mathe- matics and engineering students’ calculus and technology knowledge in 2011. His other research interests

Conference Session

Mathematics Division Technical Session 1

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jenna Tague, Ohio State University; Jennifer Czocher, Ohio State University; Gregory Richard Baker, Ohio State University; Amanda Roble, Ohio State University

Tagged Divisions

Mathematics

Paper ID #7445Choosing and Adapting Technology in a Mathematics Course for EngineersJenna Tague, Ohio State University Jenna Tague is a mathematics education doctoral student at The Ohio State University. She received her B.S. and M.S. in mathematics from Bucknell University and Colorado State University, respectively. Research interests include mathematics for engineering students and problem solving.Miss Jennifer Czocher, Ohio State University Jennifer Czocher is a doctoral candidate in mathematics education at Ohio State University. Her research interests are mathematical modeling and mathematical thinking in STEM

Conference Session

Mathematics Division Technical Session 1

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Luke A. Duncan, Clemson University; Karen A. High, Clemson University; Kaileigh A. Byrne, Clemson University; Rachel Nicole White, Clemson University

Tagged Divisions

Mathematics

Paper ID #34208Exploring the Relationship Between Math Anxiety, Working Memory, andExperiencesLuke A. Duncan, Clemson University Luke Duncan is a doctoral student in the Engineering and Science Education Department at Clemson University. His background is in mathematical sciences and mathematics education. Luke’s primary research interests include math anxiety and student success in higher education. He is currently involved in projects surrounding the topics of transfer student success, cognitive and symbol load, math anxiety, and qualitative research methods.Dr. Karen A. High, Clemson University Dr. Karen High holds

Conference Session

Issues and Answers in Mathematics Education

Collection

2011 ASEE Annual Conference & Exposition

Authors

Paul J. Kauffmann, East Carolina University; Sviatoslav Archava, East Carolina University; Ricky T. Castles, East Carolina University; Heather L. Ries, East Carolina University; Stephanie T. Sullivan, East Carolina University; Karen A. De Urquidi, East Carolina University

Tagged Divisions

Mathematics

content focus? a. linear, quadratic, polynomial functions b. logarithmic and exponential functions c. Trigonometric functions 3. What do students believe about the effectiveness of learning resources and approaches? a. Textbook b. Computer based or on line homework c. Use of learning aids for on line homework d. Required attendance 4. What do students think are effective success strategies? a. Required attendance b. Summer prep course c. Problem solving session in place of an hour of lectureOur motivation in examining the questions in Table 1 is to improve the performance of ourstudents in this important gateway course. Ultimately, we hope to impact the broader

Conference Session

Bridging and Freshman Programs

Collection

2008 Annual Conference & Exposition

Authors

Christopher Papadopoulos; John Reisel, University of Wisconsin - Milwaukee

Tagged Divisions

Mathematics

AC 2008-1623: DO STUDENTS IN SUMMER BRIDGE PROGRAMSSUCCESSFULLY IMPROVE MATH PLACEMENT AND PERSIST? AMETA-ANALYSIS.Chris Papadopoulos, University of Wisconsin - Milwaukee Chris Papadopoulos earned BS degrees in Civil Engineering and Mathematics from Carnegie Mellon University, and a PhD in Theoretical and Applied Mechanics, Cornell University. He previously served on the faculty of Engineering at the University of Wisconsin-Milwaukee, where he is currently a research associate, grant writer, lecturer, and director of educational programs. His research interests include biomechanics, nonlinear structural mechanics, computational mechanics, engineering education, and engineering ethics. He is

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

AC 2009-943: MATH TOOLS FOR ENGINEERING: A NEW APPROACH TOTEACHING CALCULUS III AND DIFFERENTIAL EQUATIONSHassan Moore, University of Alabama, BirminghamGregg Janowski, University of Alabama, BirminghamMelinda Lalor, University of Alabama, Birmingham Page 14.865.1© American Society for Engineering Education, 2009MATH TOOLS FOR ENGINEERING: A NEW APPROACH TOTEACHING CALCULUS III AND DIFFERENTIAL EQUATIONSAbstractDuring the fall of 2008 at the University of Alabama at Birmingham, a new course (EGR/MA265 – Mathematical Tools for Engineering Problem Solving) was offered in a joint effort by theSchool of Engineering and the Department of Mathematics combining differential equations

Conference Session

Mathematics Division Technical Session 1

Collection

2018 ASEE Annual Conference & Exposition

Authors

Lynn Albers, Campbell University

Tagged Divisions

Mathematics

Paper ID #23669Implementing the Wright State Model First-Year Engineering MathematicsCourse in a Startup School of EngineeringDr. Lynn A Albers, Campbell University Dr. Lynn Albers is an Assistant Professor in the newly formed School of Engineering at Campbell Uni- versity. A proponent of Hands-On Activities in the classroom and during out-of-school time programs, she believes that they complement any teaching style thereby reaching all learning styles. She earned her doctorate in Mechanical Engineering from North Carolina State University specializing in thermal sci- ences where her dissertation research spanned three

Conference Session

Mathematics Division Technical Session 3

Collection

2019 ASEE Annual Conference & Exposition

Authors

Maizey Benner, Purdue University; Daniel M. Ferguson, Purdue University; Matthew W. Ohland, Purdue University; Behzad Beigpourian, Purdue University

Tagged Divisions

Mathematics

Paper ID #25521Analyzing Changes in the Individual Dimensions of a Behaviorally AnchoredRating ScaleMs. Maizey Benner, Purdue UniversityDr. Daniel M. Ferguson, Purdue University Daniel M. Ferguson is CATME Managing Director and the recipient of several NSF awards for research in engineering education and a research associate at Purdue University. Prior to coming to Purdue he was Assistant Professor of Entrepreneurship at Ohio Northern University. Before assuming that position he was Associate Director of the Inter-Professional Studies Program [IPRO] and Senior Lecturer at Illinois Institute of Technology and involved in

Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Kristen L. Sanford Bernhardt P.E., Lafayette College; Mary Roth P.E., Lafayette College

Tagged Divisions

First-Year Programs, Mathematics

Paper ID #22569Using Concept Maps to Assess Student Learning in a Multi-Section Introduc-tion to Engineering CourseDr. Kristen L. Sanford Bernhardt P.E., Lafayette College Dr. Kristen Sanford Bernhardt is chair of the Engineering Studies program and associate professor of Civil and Environmental Engineering at Lafayette College. Her expertise is in sustainable civil infrastructure management and transportation systems. She teaches a variety of courses including sustainability of built systems, transportation systems, transportation planning, civil infrastructure management, engineering economics, and Lafayette’s

Conference Session

Students' Abilities and Attitudes

Collection

2011 ASEE Annual Conference & Exposition

Authors

Andrew G Bennett, Kansas State University; Todd Moore; Xuan Hien Nguyen, Kansas State University

Tagged Divisions

Mathematics

AC 2011-103: A LONGITUDINAL STUDY ON STUDENTS’ DEVELOP-MENT AND TRANSFER OF THE CONCEPT OF INTEGRATIONAndrew G Bennett, Kansas State University Andrew Bennett received his Ph.D. in mathematics from Princeton University in 1985 and has been on the faculty at Kansas State University since 1988 where he is Director of the Center for Quantitative Education.Todd MooreXuan Hien Nguyen, Kansas State University Xuan Hien Nguyen is currently a post doctoral fellow at Kansas State University. Her research interests are in partial differential equations and mathematics education. Page 22.56.1 c

Conference Session

Students' Abilities and Attitudes

Collection

2011 ASEE Annual Conference & Exposition

Authors

John R. Reisel, University of Wisconsin - Milwaukee; Leah Rineck; Marissa Jablonski, University of Wisconsin, Milwaukee; Ethan V Munson, University of Wisconsin, Milwaukee; Hossein Hosseini, University of Wisconsin, Milwaukee

Tagged Divisions

Mathematics

AC 2011-51: EVALUATION OF THE IMPACTS OF MATH COURSE PLACE-MENT IMPROVEMENT ACHIEVED THROUGH A SUMMER BRIDGEPROGRAMJohn R. Reisel, University of Wisconsin - Milwaukee John R. Reisel is an Associate Professor of Mechanical Engineering at the University of Wisconsin- Milwaukee (UWM.) He serves as Associate Director of the Center for Alternative Fuels, and co-Director of the Energy Conversion Efficiency Lab. In addition to research into engineering education, his research efforts focus on combustion and energy utilization. Dr. Reisel was a 2005 recipient of the UWM Dis- tinguished Undergraduate Teaching Award, the 2000 UWM-College of Engineering and Applied Science Outstanding Teaching Award, and a 1998 recipient of

Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Jeffrey A. Davis, Grant MacEwan University; Shelley Lorimer P.Eng., Grant MacEwan University

Tagged Divisions

First-Year Programs, Mathematics

Paper ID #21855Student performance on drawing Free Body Diagrams and the effect on Prob-lem SolvingDr. Jeffrey A Davis P.Eng., Grant MacEwan University Dr Davis obtained his PhD at ETH Zurich specializing in numerical simulation of multiphase flow. With a passion for teaching, Dr. Davis’ research focuses on pedagogical topics such as student engagement, active learning, and cognitive development. Projects he is currently working on include ”Development of a risk assessment model for the retention of students”, ”Development of Student Assessment Software”, and ”Improving Student Engagement through Active Learning”.Dr

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Judith A Komar, Colorado Technical University; Tonya Troka, Colorado Technical University

Tagged Divisions

Mathematics

Paper ID #12098Improving Performance in College Algebra Using TechnologyMrs. Judith A Komar, CEC/CTU Judy Komar is Vice President of Educational Technology at Career Education Corporation (CEC), a global provider of post-secondary education programs and services. She is responsible for providing innovative technology solutions for CEC students, developing content for more than 500 new courses annually and facilitating and integrating educational technologies for more than 45 CEC campuses. She also facilitates program development, academic requests, and institutional growth, as well as the continuous improvement of the

Conference Session

Mathematics Division Technical Session 1

Collection

2015 ASEE Annual Conference & Exposition

Authors

Janet Callahan, Boise State University; Judith A. Garzolini, Boise State University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

Paper ID #14208An Elective Mathematics Readiness Initiative for STEM StudentsDr. Janet Callahan, Boise State University Janet Callahan is the Founding Associate Dean for the College of Engineering at Boise State University and a Professor in the Materials Science and Engineering Department. Dr. Callahan received her Ph.D. in Materials Science, her M.S. in Metallurgy and her B.S. in Chemical Engineering from the University of Connecticut. Her educational research interests include freshmen engineering programs, math success, K-12 STEM curriculum and accreditation, and retention and recruitment of STEM majors.Ms. Judith A

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Michael R. Allen, Department of Mathematics; Dale A. Wilson, Tennessee Technological University

Tagged Divisions

Mathematics

Paper ID #7596Making Mathematics Relevant to Engineering StudentsDr. Michael R. Allen, Department of Mathematics Dr. Allen earned his PhD in Statistics from the University of Georgia in 1997 and currently holds a full time Associate Professor position in the Department of Mathematics at Tennessee Technological Univer- sity. His research interests include edgeworth expansions, time series, bootstrapping, online pedagogy and fractional calculus and has published papers on four of these five subjects. He minored in education and physics as an undergrad and obtained a Master in mathematics. Recently, he earned a Bachelors in

Conference Session

Mathematics Division Technical Session 4

Collection

2018 ASEE Annual Conference & Exposition

Authors

Eliza Gallagher, Clemson University; Christy Brown; D. Andrew Brown, Clemson University; Kristin Kelly Frady, Clemson University; Patrick Bass, The Citadel; Michael A. Matthews P.E., University of South Carolina; Thomas T Peters, South Carolina's Coalition for Mathematics & Science; Robert J. Rabb P.E., The Citadel; Ikhalfani Solan; Ronald W. Welch P.E., The Citadel; Anand K. Gramopadhye, Clemson University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

associated with businessprofessionals are nearlyidentical to those associatedwith engineering professionals.Moreover, recruitingstudents into engineering frombusiness would increase overallSTEM enrollment, ratherthan simply shifting enrollment (a) Engineeringwithin STEM fields. In SouthCarolina, nine counties againproduce 75% of all businessmajors among the populationof interest (Figure 6b).In this case, however, only fiveof those counties (Charleston,Greenville, Lexington,Richland, and York) are amongthe most populous. The otherfour (Darlington, Dorchester,Florence, and Orangeburg) (b) Businessare all along the I-95 Figure 6 Pareto charts of major selection among students entering“Corridor of Shame

Conference Session

Mathematics in Transition

Collection

2007 Annual Conference & Exposition

Authors

Nirmala Gnanapragasam, Seattle University

Tagged Divisions

Mathematics

AC 2007-2566: EXPLORING MATH THROUGH MATH COMPETITIONS AT THEELEMENTARY SCHOOL LEVEL: CASE STUDY OF A K-12 APPROACHNirmala Gnanapragasam, Seattle University Nirmala Gnanapragasam is an Associate Professor in the Department of Civil and Environmental Engineering at Seattle University. She is a geotechnical engineer and is a registered Professional Engineer in the State of Washington. She manages the senior capstone design program in the Civil and Environmental Engineering department, is active in engineering education research, consulting and in K-12 math education. Page 12.723.1© American Society

Conference Session

Mathematics Division Technical Session 4

Collection

2017 ASEE Annual Conference & Exposition

Authors

Paran Rebekah Norton, Clemson University; Karen A. High, Clemson University; William Bridges, Clemson University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

Paper ID #18552Calculus I Course Policy Changes and Impact on Various Demographic Stu-dent Group SuccessMrs. Paran Rebekah Norton, Clemson UniversityDr. Karen A. High, Clemson University Dr. Karen High is the Associate Dean for undergraduate studies in the College of Engineering, Computing and Applied Sciences at Clemson University. She also holds an academic appointment in the Engineering Science and Education department and joint appointments in the Chemical and Biomolecular Engineer- ing department as well as the Environmental Engineering and Earth Sciences department. Prior to this Dr. Karen was at Oklahoma State

Conference Session

Project and Model-Based Mathematics

Collection

2007 Annual Conference & Exposition

Authors

John Schmeelk, Virginia Commonwealth University; Jean Hodges, Virginia Commonwealth University Qatar

Tagged Divisions

Mathematics

-brained visual or tactile learners based on observations of design students’characteristics and Linksman’s definitions of these super links. This study set out to test thatdeduction by recording students’ super links after administering Linksman’s tests fordetermining learning style and brain hemispheric preferences (see Appendices A and B). Thetests were given early in the term shortly after introducing the course and its project-directedconcept, and the results were discussed with the students, who also received handouts ofLinksman’s characterizations for each of the learning styles and brain hemispheric preferences.Because Arabic art and architecture are strongly influenced by geometrical designs, MATH 131includes several chapters of the

Conference Session

The Transition from Secondary to College Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Bert Pariser, Technical Career Institutes

Tagged Divisions

Mathematics

Figure 1Viewing figure 1 the title is” pythagorean puzzles.”In the top part of figure 1 there is a triangle and a square. The red triangle is a right triangle.The base is b the height is a and the hypotenuse is c. The area of the red triangles is equal to½ (ab) The little blue square has both base and height a-b. The area of the blue square is(a-b)2 which is equal to a2 -2ab + b2 .In the lower half of the figure1 there are two puzzles. The puzzle on the left is a large squarewhose side is c and whose area is c2. The puzzle on the right is a structure which is made withtwo squares. A large square with a side a with an area a2 is joined with a small square. The smailsquare has a side b and an area b2. The object of each puzzles is to use 4 red

Conference Session

Mathematics in Transition

Collection

2006 Annual Conference & Exposition

Authors

Bella Klass-Tsirulnikov, Sami Shamoon College of Engineering (formerly Negev Academic College of; Sharlene Katz, California State University-Northridge

Tagged Divisions

Mathematics

this kind are called infinite.2. Bijection. Next we define the notion of bijection. Given two arbitrary sets, A and B, afunction f is a rule that associates a unique element b=f(a) of B to each element a of A. Instead ofsaying "a function", we may use the term: "mapping f: A 1 B" between A and B, or from A toB. A mapping f: A 1 B is said to be one-to-one if different elements of A are mapped intodifferent elements of B. A mapping f: A 1 B is said to be onto B if for each element b of B thereis an element a of A such that b=f(a). Informally speaking, a mapping f: A 1 B is onto B, if Bcan be covered by the elements of A, using the rule b=f(a). A mapping that is not onto B, is saidto be into B. Finally, a mapping f: A 1 B is called bijective (or

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Peter Goldsmith P.Eng., University of Calgary

Tagged Divisions

Mathematics

, mechanical, aerospace, andchemical engineering involve the study of interconnected dynamic systems modeled bydifferential or difference equations, such as feedback control systems. The traditional frameworkfor the analysis and design of such systems is based on the transfer function, which modelssingle-input single-output (SISO) linear time-invariant (LTI) systems. It can be defined by takingthe Laplace transform of a differential equation (in continuous time) or the z-transform of adifference equation (in discrete time).In the continuous LTI case, the differential equation may be written the form ua(D) = yb(D),where u ∈ C∞ is the input signal, y ∈ C∞ is the output signal, a, b ∈ R[x] are real polynomials withb = 0, and D is the differential

Conference Session

Engineering and Math Potpouri

Collection

2008 Annual Conference & Exposition

Authors

Jeffrey Fong, National Institute of Standards and Technology; James Filliben, National Institute of Standards and Technology; Alan Heckert, National Institute of Standards and Technology; Roland deWit, National Institute of Standards and Technology

Tagged Divisions

Mathematics

physical (modeling), mathematical (discretization),and computational (implementation) errors through the use of a rigorous statistical methodknown as the design of experiments (DOE). An introduction of the methodology is presented inthe form of five specific topics: (a) the fundamentals of DOE, (b) the assumptions of modelbuilding, (c) setting objectives for an experiment, (d) selecting process input variables (factors)and output responses, and (e) weighing the objectives of the virtual experiment versus thenumber of factors identified in order to arrive at a choice of an experimental design. The methodis then specialized for FEM applications by choosing a specific objective and a subclass ofexperimental designs known as the fractional factorial

Conference Session

Mathematics Division Technical Session 2

Collection

2013 ASEE Annual Conference & Exposition

Authors

Andrew Grossfield P. E., Vaughn College of Aeronautics & Technology

Tagged Divisions

Mathematics

x               B   4 2 Figure 1 A fourth degree polynomial: y = x – 2x + .2x +1 Page 23.815.3The graph indicates: (1) The extent of the curve, horizontally and vertically (2) the

Conference Session

Project and Model-Based Mathematics

Collection

2007 Annual Conference & Exposition

Authors

Sharlene Katz, California State University-Northridge; Bella Klass-Tsirulnikov, Sami Shamoon College of Engineering (formerly Negev Academic College of

Tagged Divisions

Mathematics

said to be an m x n matrix, or a matrix of size "m byn".Matrix Addition and Subtraction: The sum (difference) of two matrices A and B is written A+B(A-B). Matrices must be the same size to be added or subtracted. The entries in the resultingsum A+B are aij + bij for i = 1 … m and j = 1 … n. The entries in the difference A-B are aij - bijfor i = 1 … m and j = 1 … n.Matrix Multiplication: Let A be an m x n matrix and B an r x p matrix. The product of these twomatrices, AB, is only defined if n = r. The resulting product C = AB is an m x p matrix inwhich: n cij = 1 aik bkj ; i=1...m; j=1...p k =1Transpose of a Matrix: The transpose of an m x n matrix A is

Conference Session

Computers and Software in Teaching Mathemathetics

Collection

2009 Annual Conference & Exposition

Authors

Ali Farahani, National University, San Diego

Tagged Divisions

Mathematics

Page 14.1303.3example of set equality; suppose we want to verify that the sets A and B given below are equal. A ? {x | x 2 − x / 6 ? 0} and B ? {2,/3} then A ? BIn Python set A can be constructed as A=set ([x for x in range (-50,50) if x**2+x-6==0])where the set command is applied to convert the list to a set object. The set is constructed bysearching for integer solutions of the quadratic equation in a specified range. Set B is simple toconstruct in Python, B=set ([2,-3]). Now we use the command A==B to verify theequality. The system returns “True”.A set product, or a set of ordered pair is easily built by a single line of code assuming that sets Aand B have been defined then [(a,b) for a in A for b in B] produces

Conference Session

The Transition from Secondary to College Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Helen M. Doerr, Syracuse University; Andria Costello Staniec, Syracuse University; AnnMarie H. O'Neil, C.S. Driver Middle School

Tagged Divisions

Mathematics

to engineering freshmen, with the recitation sections taught by teaching assistants.Students who succeed in this course with an A or a B are generally successful in our subsequentcourse in Calculus I.While algebra skills are addressed in the standard pre-calculus course, the development of thoseskills is not a primary focus of the course. Students need a pre-requisite level of fluency inalgebra to be successful with the pre-calculus content on functions. Students who placed intocollege algebra did not meet that pre-requisite. To address this deficiency, we designed an“algebra infused” pre-calculus course. The algebra infused precalculus followed the samesyllabus as the standard course, with one essential difference. In this course

Conference Session

First-Year Programs: Mathematics in the First Year

Collection

2019 ASEE Annual Conference & Exposition

Authors

Cem Karacal, Southern Illinois University, Edwardsville; Ma Zenia N. Agustin, Southern Illinois University, Edwardsville; George Pelekanos, Southern Illinois University, Edwardsville

Tagged Divisions

First-Year Programs, Mathematics

who earned letter grades of A, B, or C and proportion of students who earned gradesof A or B. It has been shown in the literature that students who earn grades of at least B inCalculus I tend to perform better in subsequent mathematics and physics courses3. In this paper,the results for Calculus I during the fall semesters of the five-year project are presented. Thepopulation of students who register for Calculus I during fall semesters differ significantly fromthe population of students who register during spring semesters. Spring semester Calculus Istudents are typically those who are repeating the course or those who are coming from Pre-Calculus. On average, 100 engineering students registered in ES sections of Calculus I in fallsemesters

Conference Session

Mathematics in Transition

Collection

2006 Annual Conference & Exposition

Authors

Josue Njock-Libii, Indiana University-Purdue University Fort Wayne

Tagged Divisions

Mathematics

∞ ( a ) r ( b) r ( x k )2 F1 ([ a , b],[ c], x ) ≡ ∑ k , (1) r=0 ( c) r r !where ( a ) r is the Pochhammer symbol 4, for which Γ (a + r )( a ) r = a (a + 1)(a + 2)...(a + r − 1) = , (2) Γ (a )and Γ denotes the gamma function given by the Euler Integral of the second kind 3.Hypergeometric functions are solutions to the hypergeometric differential equationz(1 − z) y ′′ + [c − (a + b + 1) z] y ′ − aby = 0 . (3)Using the Froebenius method, the complete solution to this