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Robertson, Robert L. – PRIMUS, 2017
Calculating Laplace transforms from the definition often requires tedious integrations. This paper provides an integration-free technique for calculating Laplace transforms of many familiar functions. It also shows how the technique can be applied to probability theory.
Descriptors: Mathematics Instruction, Teaching Methods, Probability, Computation
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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)
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Rash, Agnes M.; Fillebrown, Sandra – PRIMUS, 2016
This article describes various courses designed to incorporate mathematical proofs into courses for non-math and non-science majors. These courses, nicknamed "math beauty" courses, are designed to discuss one topic in-depth rather than to introduce many topics at a superficial level. A variety of courses, each requiring students to…
Descriptors: Mathematics Curriculum, General Education, Mathematics Instruction, Mathematics Education
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Price, James C. – PRIMUS, 2015
This article presents four inquiry-based learning activities developed for a liberal arts math course. The activities cover four topics: the Pythagorean theorem, interest theory, optimization, and the Monty Hall problem. Each activity consists of a dialogue, with a theme and characters related to the topic, and a manipulative, that allow students…
Descriptors: Inquiry, Active Learning, Learning Activities, Mathematics Instruction
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Kostadinov, Boyan – PRIMUS, 2013
This article attempts to introduce the reader to computational thinking and solving problems involving randomness. The main technique being employed is the Monte Carlo method, using the freely available software "R for Statistical Computing." The author illustrates the computer simulation approach by focusing on several problems of…
Descriptors: Computation, Monte Carlo Methods, College Mathematics, Problem Solving
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McMurran, Shawnee L. – PRIMUS, 2010
This module was initially developed for a course in applications of mathematics in biology. The objective of this lesson is to investigate how the allele and genotypic frequencies associated with a particular gene might evolve over successive generations. The lesson will discuss how the Hardy-Weinberg model provides a basis for comparison when…
Descriptors: Population Trends, Mathematics Instruction, Biology, Genetics
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Sturdivant, Rod; Watts, Krista – PRIMUS, 2010
This article presents material that has been used as a classroom activity in a calculus-based probability and statistics course. The application was used in the first few lessons of this course. Students had three previous semesters of math, including calculus (single and multivariable), differential equations, and a course in mathematical…
Descriptors: Probability, Calculus, Mathematics Instruction, Communicable Diseases
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Butterworth, William T.; Coe, Paul R. – PRIMUS, 2004
"The Price is Right" ("TPIR") is a rich source of examples of applied probability, combinatorics, and game theory. While some of the games played on stage by individual contestants stress a knowledge of pricing, many are also heavily based on probability. "TPIR" stage games are a treasury of interesting modules that can be effective learning tools…
Descriptors: Game Theory, Mathematics Education, Probability, Mathematics Anxiety