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Shelton, Therese; Laurent, Theresa; Agyemang-Barimah, Beulah – PRIMUS, 2019
We present adaptable activities for models of drug movement in the human body -- pharmacokinetics -- that motivate the learning of ordinary differential equations with an interdisciplinary topic. Specifically, we model aspirin, caffeine, and digoxin. We discuss the pedagogy of guiding students to understand, develop, and analyze models,…
Descriptors: Equations (Mathematics), Active Learning, Calculus, Pharmacology
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Royer, Melvin – PRIMUS, 2012
Gabriel's Horn is a solid of revolution commonly featured in calculus textbooks as a counter-intuitive example of a solid having finite volume but infinite surface area. Other examples of solids with surprising geometrical finitude relationships have also appeared in the literature. This article cites several intriguing examples (some of fractal…
Descriptors: Mathematics Education, Textbooks, Scientific Concepts, Calculus
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Cardetti, Fabiana; McKenna, P. Joseph – PRIMUS, 2012
The purpose of this article is to provide a deeper understanding of the natural rhythm of a typical semester, as observed in students' reflections in journals kept during the semester. Our analysis of students' writings rendered a breakdown of the semester into four distinct periods that were independent of the particular semester or section the…
Descriptors: Higher Education, Anatomy, Calculus, Teaching Methods
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Rash, Agnes M.; Winkel, Brian J. – PRIMUS, 2009
This paper describes details of development of the general birth and death process from which we can extract the Poisson process as a special case. This general process is appropriate for a number of courses and units in courses and can enrich the study of mathematics for students as it touches and uses a diverse set of mathematical topics, e.g.,…
Descriptors: Equations (Mathematics), Probability, Calculus, Mathematics Instruction
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Lock, Robin H.; Lock, Patti Frazer – PRIMUS, 2008
Bootstrap methods and randomization tests are increasingly being used as alternatives to standard statistical procedures in biology. They also serve as an effective introduction to the key ideas of statistical inference in introductory courses for biology students. We discuss the use of such simulation based procedures in an integrated curriculum…
Descriptors: Integrated Curriculum, Introductory Courses, Biology, Statistical Inference
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Marland, Eric; Palmer, Katrina M.; Salinas, Rene A. – PRIMUS, 2008
In this article we provide two detailed examples of how we incorporate biological examples into two mathematics courses: Linear Algebra and Ordinary Differential Equations. We use Leslie matrix models to demonstrate the biological properties of eigenvalues and eigenvectors. For Ordinary Differential Equations, we show how using a logistic growth…
Descriptors: Mathematics Instruction, Biology, Integrated Curriculum, Equations (Mathematics)
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Forman, Sean; Forman, Sylvia – PRIMUS, 2008
Games are a useful and fun way to review material in class, and encourage students to actively participate in review sessions. In fact, researchers have concluded that playing games can be an effective learning tool, especially in mathematics, in situations where the goal is to reinforce specific ideas or concepts. Two places this type of…
Descriptors: Games, Calculus, Internet, Mathematics Instruction
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Quinn, Terrance J.; Rai, Sanjay – PRIMUS, 2008
The Laplace Transform is an object of fundamental importance in pure and applied mathematics. In addition, it has special pedagogical value in that it can provide a natural and concrete setting for a student to begin thinking about the modern concepts of "operator" and "functional". Most undergraduate textbooks, however, merely define the…
Descriptors: Mathematics Education, Textbooks, Teaching Methods, Mathematical Concepts
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Mahavier, William S.; Mahavier, W. Ted – PRIMUS, 2008
The careful use of notation and language in the statement of both the definitions and problems of calculus can begin the process of making students mathematically literate while allowing them to enjoy working on challenging problems and applications without the aid of numerous examples. Engaging the students to participate in the precise use of…
Descriptors: Majors (Students), Language Usage, Exhibits, Calculus
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Isenhour, Michelle; Kramlich, Gary – PRIMUS, 2008
The following article discusses holistic grading as implemented in a first-year undergraduate calculus course. The intent of this manner of grading is to distinguish both students that truly master the material and those that have not even a limited understanding from the majority of the student body. (Contains 6 figures.)
Descriptors: Grading, Calculus, Higher Education, College Mathematics
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Young, Anne Ludington – PRIMUS, 1996
This paper describes a project one teacher assigns to Calculus I students at the Department of Mathematical Sciences at Loyola College in Baltimore, Maryland. The project is introduced to the students early in the semester and requires the use of technology, team work, and the completion of an extensive writing component. The goal of the project…
Descriptors: Calculus, Higher Education, Mathematics Activities, Mathematics Instruction
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Meier, John; Thorme, Trisha – Primus, 1997
Outlines a pair of projects used in introductory calculus that are inspired by techniques archaeologists use in the analysis of pottery. These real-world application problems appeal to students who are not necessarily interested in the standard application of calculus. (Author/DDR)
Descriptors: Active Learning, Archaeology, Calculus, College Curriculum
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Armstrong, Gerald; And Others – Primus, 1994
Gives a general description of reformed calculus efforts and describes experiences with two reformed calculus programs together with traditional calculus. Also provides comparisons between these three programs using teaching evaluations and student journals. (Author/MKR)
Descriptors: Calculators, Calculus, Computer Uses in Education, Conventional Instruction
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Barber, Fredrick; Narayan, Jack – Primus, 1994
Reports on the use of technology to enhance the teaching of ordinary differential equations, gives examples of laboratory activities using cooperative learning, and discusses assessment of student learning. MacMath, TI-81 graphing calculators, and Maple were used in the course. (Author/MKR)
Descriptors: Calculus, Computer Uses in Education, Cooperative Learning, Differential Equations
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Kelly, Susan E.; LeDocq, Rebecca Lewin – Primus, 2001
Describes the specific courses in a sequence along with how the writing has been implemented in each course. Provides ideas for how to efficiently handle the additional paper load so students receive the necessary feedback while keeping the grading time reasonable. (Author/ASK)
Descriptors: Calculus, College Mathematics, Content Area Writing, Differential Equations
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