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Miel, George – American Mathematical Monthly, 1983
The evolution of Archimedes' method is traced from its geometrical beginning as a means to approximate pi to its modern version as an analytical technique for evaluating inverse circular and hyperbolic functions. It is felt the web of old and new algorithms provides considerable instructional material, and ideas are offered. (MP)
Descriptors: Algorithms, College Mathematics, Geometric Concepts, Higher Education
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Cook, Lyle; McWilliam, James – Two-Year College Mathematics Journal, 1983
The problem of finding cube roots when limited to a calculator with only square root capability is discussed. An algorithm is demonstrated and explained which should always produce a good approximation within a few iterations. (MP)
Descriptors: Algorithms, Calculators, College Mathematics, Higher Education
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Boyd, James N. – Mathematics and Computer Education, 1982
Details are given of a simple computer program written in BASIC which calculates the sine of an angle through an application of DeMoivre's Theorem. The program is included in the material, and the program's success is discussed in terms of why the approximation works. (MP)
Descriptors: Algorithms, College Mathematics, Computer Programs, Higher Education
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Aviv, Cherie A.; Rachlin, Sid – Mathematics Teacher, 1981
A procedure for constructing a magic cube is presented, with related teaching activities appropriate for students familiar or unfamiliar with the algorithm covered. (MP)
Descriptors: Algorithms, College Mathematics, Higher Education, Mathematical Enrichment
Grimm, C. A. – 1978
This document contains two units that examine integral transforms and series expansions. In the first module, the user is expected to learn how to use the unified method presented to obtain Laplace transforms, Fourier transforms, complex Fourier series, real Fourier series, and half-range sine series for given piecewise continuous functions. In…
Descriptors: Algorithms, Answer Keys, College Mathematics, Higher Education
Pinker, Aron – MATYC Journal, 1981
This report explains the mathematical origin of the Annual Percentage Rate (APR) approximation often used in elementary Business Mathematics courses. (MP)
Descriptors: Algorithms, College Mathematics, Higher Education, Mathematical Applications
Dershem, Herbert L. – 1980
These modules view aspects of computer use in the problem-solving process, and introduce techniques and ideas that are applicable to other modes of problem solving. The first unit looks at algorithms, flowchart language, and problem-solving steps that apply this knowledge. The second unit describes ways in which computer iteration may be used…
Descriptors: Algorithms, Answer Keys, College Mathematics, Computer Science Education
Wilde, Carroll O. – 1978
Applied mathematics is seen often to involve the solution of single equations or systems of equations. A particular technique for solving equations in the context of functions on the real line is examined. This technique includes an iterative process, which is viewed as an algorithm that can be implemented readily on inexpensive and widely…
Descriptors: Algorithms, Answer Keys, Calculators, College Mathematics
Smith, Harvey A. – 1978
This module is designed to apply mathematical models to nuclear deterrent problems, and to aid users in developing enlightened skepticism about the use of linear models in stability analyses and long-term predictions. An attempt is made at avoiding overwhelming complexities through concentration on land-based missile forces. It is noted that after…
Descriptors: Algorithms, College Mathematics, Higher Education, Instructional Materials
Rheinboldt, Werner C. – 1980
This material contains two units which view applications of computer science. The first of these examines Horner's scheme; and is designed to instruct the user on how to apply both this scheme and related algorithms. The second unit aims for student understanding of standard bisection, secant, and Newton methods of root finding and appreciation of…
Descriptors: Algorithms, College Mathematics, Computer Programs, Computer Science
Stenberg, Warren; Walker, Robert J. – 1970
Parts one and two of a one-year computer-oriented calculus course (without analytic geometry) are presented. The ideas of calculus are introduced and motivated through computer (i.e., algorithmic) concepts. An introduction to computing via algorithms and a simple flow chart language allows the book to be self-contained, except that material on…
Descriptors: Algorithms, Calculus, College Mathematics, Computer Oriented Programs
Williamson, S. Gill – 1987
This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world…
Descriptors: Algorithms, Calculus, College Mathematics, Functions (Mathematics)
Grinstein, Louise S., Ed.; Michaels, Brenda, Ed. – 1977
Many of the suggestions that calculus instructors have published as articles from 1908 through 1973 are included in this book of readings. The main criterion for selecting an item was whether it would be helpful to teachers and students; therefore, those which dealt exclusively with curricular structure were not included. The selected articles are…
Descriptors: Algorithms, Annotated Bibliographies, Calculus, College Mathematics
LeBlanc, John F.; And Others – 1976
This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that…
Descriptors: Algorithms, College Mathematics, Division, Elementary Education