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Mathews, John H. – AMATYC Review, 1989
Discusses numerical methods to compute approximate solutions of a differential equation. Provides a Pascal program for the extended Euler-Heun method. (YP)
Descriptors: Calculators, College Mathematics, Differential Equations, Equations (Mathematics)
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Mathews, John H. – AMATYC Review, 1989
Describes Newton's method to locate roots of an equation using the Newton-Raphson iteration formula. Develops an adaptive method overcoming limitations of the iteration method. Provides the algorithm and computer program of the adaptive Newton-Raphson method. (YP)
Descriptors: Algorithms, College Mathematics, Computation, Equations (Mathematics)
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Mathews, John H. – Journal of Computers in Mathematics and Science Teaching, 1989
Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)
Descriptors: Calculus, Computer Graphics, Computer Software, Computer Uses in Education
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Mathews, John H. – Mathematics and Computer Education, 1989
This article illustrates that mathematical theory can be incorporated into the process to solve differential equations by a computer algebra system, muMATH. After an introduction to functions of muMATH, several short programs for enhancing the capabilities of the system are discussed. Listed are six references. (YP)
Descriptors: Calculus, College Mathematics, Computation, Computer Assisted Instruction
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Mathews, John H. – Mathematics and Computer Education, 1989
Described is a computer algebra system that can be used to help students understand the calculus. Provides several examples of solving calculus problems using muMATH. Lists eight references. (YP)
Descriptors: Calculus, College Mathematics, Computation, Computer Assisted Instruction