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Gordon, Sheldon P. – Mathematics Teacher, 2013
Much of what is taught, especially in college, is designed to support other disciplines. To determine the current mathematical needs of twenty-three partner disciplines, the Mathematical Association of America (MAA) conducted the Curriculum Foundations Project (Ganter and Barker 2004; Ganter and Haver 2011), as discussed in the appendix…
Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Calculus
Gordon, Sheldon P. – MathAMATYC Educator, 2009
Each year, well over a million students take college algebra and related courses. Very few of these students take the courses to prepare for calculus, but rather because they are required by other disciplines or to fulfill Gen Ed requirements. The present article discusses what the current mathematical needs are in most of those disciplines,…
Descriptors: Social Sciences, Laboratories, Biological Sciences, Calculus
Gordon, Sheldon P. – PRIMUS, 2007
We investigate the possibility of approximating the value of a definite integral by approximating the integrand rather than using numerical methods to approximate the value of the definite integral. Particular cases considered include examples where the integral is improper, such as an elliptic integral. (Contains 4 tables and 2 figures.)
Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Numbers
Gordon, Sheldon P. – PRIMUS, 2005
The possibility of approximating a function with a linear combination of exponential functions of the form e[superscript x], e[superscript 2x], ... is considered as a parallel development to the notion of Taylor polynomials which approximate a function with a linear combination of power function terms. The sinusoidal functions sin "x" and cos "x"…
Descriptors: Mathematics, Theories, Mathematics Education, Calculus