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Change-Point Estimation Using Sample Means.
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Smith, Thomas M.; Scariano, Stephen M. – Mathematics and Computer Education, 1990
Presented is the change-point estimation which is a variation on point estimation for a two-sample problem. This variation relies on the elementary properties of the expected value and variance operators, is intuitive and is easily accessible for introductory statistics courses. Data for this exercise may be produced by a BASIC program which is…
Descriptors: Algebra, College Mathematics, Computer Assisted Instruction, Computer Uses in Education
Teaching Numerical Integration in a Revitalized Calculus.
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Fay, Temple H. – Mathematics and Computer Education, 1990
Described is an approach to the derivation of numerical integration formulas. Students develop their own formulas using polynomial interpolation and determine error estimates. The Newton-Cotes formulas and error analysis are reviewed. (KR)
Descriptors: Algebra, College Mathematics, Computation, Computer Assisted Instruction
Partial Fractions, Theory and Practice with Mathematica.
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Mathews, John H. – Mathematics and Computer Education, 1990
Illustrated is the use of computer algebra software to assist in both a computational and theoretical way to develop the underlying theory of polynomials and the partial fraction decomposition of a rational function. Background information and a discussion of theoretical considerations are provided. (KR)
Descriptors: Algebra, College Mathematics, Computer Assisted Instruction, Computer Uses in Education
Error Bounds for Interpolative Approximations.
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Gal-Ezer, J.; Zwas, G. – Mathematics and Computer Education, 1990
Elementary error estimation in the approximation of functions by polynomials as a computational assignment, error-bounding functions and error bounds, and the choice of interpolation points are discussed. Precalculus and computer instruction are used on some of the calculations. (KR)
Descriptors: Calculus, College Mathematics, Computation, Computer Assisted Instruction
Explicit Formula for Summing 1(k)+2(k)+...+n(k).
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Anderson, Oliver D. – Mathematics and Computer Education, 1990
Discussed is the use, importance, and availability of programmed algebraic manipulation packages. The general power summation formula is presented and an example using a programed numerical verification package is provided. (KR)
Descriptors: Algebra, College Mathematics, Computation, Computer Assisted Instruction
Using Computer Graphics in Statistics.
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Kerley, Lyndell M. – Mathematics and Computer Education, 1990
Described is software which allows a student to use simulation to produce analytical output as well as graphical results. The results include a frequency histogram of a selected population distribution, a frequency histogram of the distribution of the sample means, and test the normality distributions of the sample means. (KR)
Descriptors: College Mathematics, Computer Assisted Instruction, Computer Uses in Education, Graphs
Magic Squares and Arithmetic Progressions.
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Knee, David – Mathematics and Computer Education, 1988
Discusses the mathematical properties of magic squares. Includes a computer program that will test magic square criteria. (PK)
Descriptors: Computation, Computer Assisted Instruction, Computer Uses in Education, Courseware
Graphical Representation of Complex Functions.
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Renka, Robert J. – Mathematics and Computer Education, 1988
Describes methods and software for graphing representation of a complex function of a complex variable. Includes an application of a graphical interpretation of the complex zeros of the cubic and their properties. (PK)
Descriptors: College Mathematics, Computer Assisted Instruction, Computer Graphics, Computer Uses in Education
Applications of Maple To Algebraic Cryptography.
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Sigmon, Neil P. – Mathematics and Computer Education, 1997
Demonstrates the use of technology to enhance the appreciation of applications involving abstract algebra. The symbolic manipulator Maple can perform computations required for a linear cryptosystem. One major benefit of this process is that students can encipher and decipher messages using a linear cryptosystem without becoming confused and…
Descriptors: Algebra, Coding, College Mathematics, Computer Assisted Instruction
Using Technology To Enhance Problem Solving and Critical Thinking Skills.
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Mingus, Tabitha; Grassl, Richard – Mathematics and Computer Education, 1997
Secondary mathematics teachers participated in a problem-solving course in which technology became a means to develop as teachers and as problem solvers. Findings indicate a delineation between technical competence and metatechnology--thinking about how and when to apply technology to particular problems. (PVD)
Descriptors: Computer Assisted Instruction, Computer Uses in Education, Critical Thinking, Graphing Calculators
Using Computer Symbolic Algebra to Solve Differential Equations.
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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
Using Computer Algebra Systems to Teach the Fundamental Theorem of Calculus.
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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