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Austin, A. Keith – American Mathematical Monthly, 1983
A traveling salesman problem is used to illustrate the key idea in a general proof of a reduction technique. It is reduced to a problem in propositional calculus. (MNS)
Descriptors: Calculus, College Mathematics, Higher Education, Mathematics Instruction
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Bragg, L. R. – American Mathematical Monthly, 1991
This article provides three examples from elementary calculus concerning the use of the long ago popular method of parametric differentiation as an alternative form of solution. Included are a partial fraction decomposition, an indefinite integral solution, and an integration by parts. (JJK)
Descriptors: Calculus, College Mathematics, Higher Education, Mathematical Concepts
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Richardson, George P. – American Mathematical Monthly, 1988
The overwhelming tendency of textbooks to ignore the midpoint-rectangle method of approximating a definite integral is noted. Examples are given, with stress on the accuracy of the method. (MNS)
Descriptors: Area, Calculus, College Mathematics, Geometric Concepts
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Miel, George – American Mathematical Monthly, 1980
The author discusses the use of calculators in calculus classes and difficulties caused by roundoff errors. References for advanced follow-up topics are given. (Author/MK)
Descriptors: Calculators, Calculus, College Mathematics, Error Patterns
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Koblitz, Neal – American Mathematical Monthly, 1988
Four of the author's favorite calculus word problems are presented. These aid students in recognizing and applying concepts in contexts unlike those in typical textbook problems. (MNS)
Descriptors: Calculus, College Mathematics, Higher Education, Learning Activities
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Wildfogel, Dennis – American Mathematical Monthly, 1983
The symposium is seen to create an opportunity for students to understand the way mathematics is actually used in their own fields and to understand both their own potential as mathematics users and inherent difficulties in modeling. The symposium acts as a capstone for a two-semester, introductory calculus course. (MP)
Descriptors: Calculus, College Mathematics, Conferences, Higher Education
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Hundhausen, Joan Rohrer – American Mathematical Monthly, 1980
A course that incorporates a computer program as a tool to take a more detailed look at differential equations is described. (MP)
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Computer Programs
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Hatcher, William S. – American Mathematical Monthly, 1982
The view promoted is calculus can be reduced to totally algebraic manipulation through use of elementary notions and facts of ring theory, which enable one to do calculus in the hyperreal number system. This approach holds promise of producing increased student conceptual sophistication and manipulative ability. (MP)
Descriptors: Calculus, College Mathematics, Higher Education, Instructional Materials
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Protter, Murray H. – American Mathematical Monthly, 1991
With reference to a self-paced calculus course, the following aspects are reviewed: the structure and the mechanisms, the grading and credit arrangements, the essentials of proper record keeping, the restrictions and prerequisites for enrollment, the cost and the effectiveness, and the potential for application to other mathematics courses. (JJK)
Descriptors: Calculus, College Mathematics, Higher Education, Individualized Instruction