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    1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models
    The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.
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    2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
    A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is...
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    2018-Mohammed_Kaabar-A_Friendly_Introduction_to_Differential_Equations
    In this book, there are five chapters: Laplace Transform, Systems of Homogeneous Linear Differential Equations, Methods of First and Higher Orders DEs, Extended Methods of First and Higher Orders...
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    2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
    This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.
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    1-005-OilSlick-ModelingScenario
    We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order,...
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    1-042-KoolAid-ModelingScenario
    Students run experiments involving concentrated solution of drink powder flowing from upper to lower tank, initially filled with plain water. They make qualitative observations about the intensity...
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    1-077-RLMSimSeriesCircuit-ModelingScenario
    In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data...
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    5-076-LanchesterLaws-ModelingScenario
    Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and...
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    3-040-FirstPassageTime-ModelingScenario
    We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first...
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    3-060-DataToDifferentialEquation-ModelingScenario
    Students use knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data.
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    3-067-RLCSeriesCircuit-ModelingScenario
    In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with...
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    3-091-SpringModeling-ModelingScenario
    In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.
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    4-036-AltitudeDependentGravity-ModelingScenario
    When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order...
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    4-035-ParEstSteadyState-ModelingScenario
    Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the...
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    5-002-RelationshipDynamics-ModelingScenario
    The different possible dynamics of a two-person romantic relationship are modeled -- as a linear two dimensional system of equations -- and analyzed.
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    Oyster Restoration Success and Water Quality in the James and Rappahannock Rivers of Virginia
    This QUBES lesson uses statistical analysis to test whether or not oyster restoration sites in Virginia are successfully increasing the number of oysters and whether or not water quality is...
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    Leaf cutter ant foraging
    This module introduces students to leaf-cutter ants in the rainforests of Panama. Students derive their own research hypotheses regarding ant foraging or allometric scaling relationships.
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    DeFinetti 1.0
    This Excel workbook simulates evolution of a single gene with three alleles. The user assigns fitness values to each of the six possible genotypes, then enters starting allele frequencies for each...
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    Graphing Techniques for Introductory Microbiology
    This module will introduce the introductory microbiology students to graphing skills to visualize and interpret the data to investigate the effect of environmental factor (temperature) on bacterial...
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    GSD QUBES Resource Draft (1)
    This QUBES module is focused towards AP Environmental studies courses. It includes hypothesis testing, transect sampling, Shannon Diversity Index, and scatter plot and bar graph creation in excel.
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