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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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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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Gordon, Sheldon P. – PRIMUS, 2008
The solutions of the discrete logistic growth model based on a difference equation and the continuous logistic growth model based on a differential equation are compared and contrasted. The investigation is conducted using a dynamic interactive spreadsheet. (Contains 5 figures.)
Descriptors: Calculus, Mathematics Instruction, Calculators, Spreadsheets
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Wallace, Dorothy – Primus, 2002
Describes a successful course in mathematical biology at Dartmouth College. The course targets premedical students and biology majors rather than mathematics majors, and requires only one semester of calculus as prerequisite. Real world problems form the basis of student work. (Author/KHR)
Descriptors: Biology, Calculus, Curriculum Design, Higher Education
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Sherman, Tom – Primus, 1993
To build understanding of, and the ability to use, first-year science and engineering calculus, students were introduced to differential equations and asked to carry out research on differential equation modeling projects. Describes a model for the research paper; appendices provide a copy of the student handout and five examples of student…
Descriptors: Calculus, College Freshmen, Differential Equations, Engineering Education
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Hilbert, Stephen; And Others – Primus, 1993
Discusses a pedagogical approach to calculus based on the question: What kinds of problems should students be able to solve? Includes a discussion of types of problems and curriculum threads for such a course. Describes a projects-based calculus with examples of projects and classroom activities. (Author/MDH)
Descriptors: Calculus, Class Activities, College Mathematics, Higher Education
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Minton, Roland – PRIMUS, 1991
Described are student/consultant reports, turned in as homework, that reflected their abilities to distinguish useful from irrelevant information, solve the underlying calculus extremum problem, and reconcile the individual mathematical solutions with the ethical considerations surrounding the moral dilemma of the hypothetical consulting client.…
Descriptors: Calculus, College Mathematics, Content Area Writing, Ethics
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Ashline, George; Ellis-Monaghan, Joanna – Primus, 1999
Discusses how applications from microbiology and sociology can be used to involve students. Presents a physical context for critical concepts in a first-semester calculus course. (Author/ASK)
Descriptors: Calculus, Computer Uses in Education, Educational Technology, Graphing Calculators
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Beckmann, Charlene E.; Schlicker, Steven J. – Primus, 1999
Describes a rich, investigative approach to multivariable calculus. Introduces a project in which students construct physical models of surfaces that represent real-life applications of their choice. The models, along with student-selected datasets, serve as vehicles to study most of the concepts of the course from both continuous and discrete…
Descriptors: Calculus, College Mathematics, Higher Education, Mathematical Applications
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Kenyon, Paula L.; Bardzell, Michael J. – Primus, 2001
Summarizes an interdisciplinary undergraduate research project involving experimental physics and calculus and illustrates how mathematics was used to finesse incomplete experimental information and maximize physical quantity known as jerk. Describes how calculus can be applied in the "real world" where functions are not always given by nice…
Descriptors: Calculus, Higher Education, Integrated Activities, Interdisciplinary Approach
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Dancis, Jerome – Primus, 2001
Students in a freshmen calculus course should become fluent in modeling physical phenomena represented by integrals, in particular geometric formulas for volumes and arc length and physical formulas for work. Describes how to train students to became fluent in such modeling and derivation of standard integral formulas. Indicates that these lessons…
Descriptors: Calculus, College Mathematics, Higher Education, Mathematical Models
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McDonald, Michael A.; And Others – Primus, 1996
Discusses a precalculus project in which students create a model United Nations to present and discuss the long-term prognosis for individual countries given data on population growth and food production. Students compare exponential and linear functions to determine whether starvation will occur and prepare oral and written presentations of their…
Descriptors: Calculus, Functions (Mathematics), High Schools, Higher Education