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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...
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    1-061-SingularPerturbation-TechniqueNarrative
    This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can...
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    2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
    In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.
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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.
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    1994-Brian_Winkel-Designated_Student_Grading _as_a_Learning_Device
    We describe how we engaged students in the course to grade regular homework assignments of that same class and the added learning opportunities in doing so.

    Keywords: student grader

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    Island Biogeography
    The students will practice the basic code to test MacArthur and Wilson’s (1967) Island Biogeography model, focusing on how island size, distance, and perturbation affect species numbers.
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    1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
    The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three...
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    Global Temperature Change in the 21st Century
    This is an FMN participant modification of the TIEE module "Global Temperature Change in the 21st Century," authored by Daniel R. Taub and Gillian S. Graham in 2011.
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    1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
    Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an...
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    1-097-SwimmingPool-ModelingScenario
    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.
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    Using: "Winter Is Coming! Can you Handle the Freeze?" In an Intro BIO lecture
    I use Team Based Learning in this course, students are in permanent groups and work together on Challenge Questions each class after I give a short lecture. This Nugget was used in place of regular...

    Keywords: graphing

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    2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
    A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The
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    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...
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    Science For and With the Community
    The Circle of Excellence addresses the multifaceted concerns of educational inequality in STEM experiences and outcomes. Since 2017, the program has met to provide challenging math and science...
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    Muscle Contraction
    This module introduces equations around muscle force in the context of understanding the Sliding Filament Model. It is intended for an introductory biology audience.
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    Cancer Discovery Activities
    These two hands-on activities are based on a Howard Hughes Medical Institute 2013 Holiday Lectures on Science video (http://www.hhmi.org/biointeractive/cancer-genetic-disease-video-highlights)...
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    1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
    The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.
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    Using Musical Instruments to Model Negative Feedback in the Hypothalamo-Pituitary-Target Gland Axes
    Homeostasis and negative feedback are crucial, yet difficult, concepts for undergraduates, particularly in the context of the hypothalamo-pituitary axes. This interactive activity was designed to...
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    2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
    This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.
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    2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
    In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.
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