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 In 2024 0 Since 2023 0 Since 2020 (last 5 years) 0 Since 2015 (last 10 years) 1 Since 2005 (last 20 years) 6
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 PRIMUS 6 Primus 1
Author
 Lutzer, Carl V. 7
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 Journal Articles 7 Reports - Descriptive 7 Guides - Classroom - Teacher 1
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 Higher Education 6 Postsecondary Education 1
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 New York 2
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Peer reviewed
Lutzer, Carl V. – PRIMUS, 2015
We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at random. We assume only a basic understanding of probability.
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Equations (Mathematics)
Peer reviewed
Lutzer, Carl V. – PRIMUS, 2011
We propose an alternative to the standard introduction to the derivative. Instead of using limits of difference quotients, students develop Taylor expansions of polynomials. This alternative allows students to develop many of the central ideas about the derivative at an intuitive level, using only skills and concepts from precalculus, and…
Descriptors: Calculus, Mathematics Instruction, Graphs, Information Technology
Peer reviewed
Lutzer, Carl V. – PRIMUS, 2007
In this article, we discuss an alternative method of teaching students about the Dirac [delta]-function. The method provides students with the mechanical tools they need in order to work with the [delta]-function in practice, while also fostering a sense of cohesion in the calculus curriculum by presenting the [delta]-function as an evolution of…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Concepts
Peer reviewed
Lutzer, Carl V. – PRIMUS, 2006
This article describes how a presentation from the point of view of differential operators can be used to (partially) unify the myriad techniques in an introductory course in ordinary differential equations by providing students with a powerful, flexible paradigm that extends into (or from) linear algebra. (Contains 1 footnote.)
Descriptors: Introductory Courses, Equations (Mathematics), Calculus, Algebra
Peer reviewed