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O'Reilly, Thomas J. – Mathematics and Computer Education, 1987
Much of the current literature on the topic of discrete mathematics and calculus during the first two years of an undergraduate mathematics curriculum is cited. A relationship between the recursive integration formulas and recursively defined polynomials is described. A Pascal program is included. (Author/RH)
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Higher Education
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Maurer, Stephen B. – 1984
In July 1982, a conference was held at Williams College in Williamstown, Massachusetts, to discuss the need for more discrete mathematics in the first two years of the core undergraduate mathematics curriculum. This paper reviews the recommendations that were made during the conference, the progress that has been made in the implementation of…
Descriptors: Calculus, College Mathematics, Curriculum Development, Educational Needs
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de Alwis, Tilak – Primus, 1992
Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)
Descriptors: Calculus, College Mathematics, Estimation (Mathematics), Higher Education
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Mathews, John H. – Journal of Computers in Mathematics and Science Teaching, 1991
Examples of subroutines that generate both symbolic and graphic solutions to differential equations are presented for the two computer algebra systems, MAPLE and Mathematica. Included are the listings for the Mathematica procedures developed for use in this article. (JJK)
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Computer Software Evaluation
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Haws, LaDawn – Primus, 1992
Hypermedia provides an easy-to-use option for adding visualization, via the computer, to the classroom. Some examples of this medium are presented, including applications in basic linear algebra and calculus, and a tutorial in electromagnetism. (Author)
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Enrichment Activities
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Gura, Kay – Primus, 1992
Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Cooperative Learning
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Rosenthal, Bill – Primus, 1992
Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…
Descriptors: Calculus, College Mathematics, Discovery Learning, Experiential Learning
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Burge, E. J. – Physics Education, 1987
Suggests an approach to understanding the integrals associated with teaching electricity and magnetism at the college level. Categorizes integrals that are commonly used, explains the significance of paired usage and presents a method for introducing concepts. Provides a review of symbols and for integrals in college textbooks. (CW)
Descriptors: Calculus, Classroom Techniques, College Mathematics, College Science