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    1-052-SaltWaterTanks-ModelingScenario
    We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

    Keywords: salttankmixing

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    Why Cells Change Weight: Demonstrating Linear Regression Through an Osmosis Experiment
    In this activity, students will perform an experiment utilizing dialysis tubing to create cellular models to demonstrate the linear relationship between cell weight and time in varying tonicities....

    Keywords: graphingqbccCellular and Molecular BiologyInterpret graphsConcepts in Statistics

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    2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
    This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.

    Keywords: predator-preyharvestingPontryagin’s maximum principlebioeconomicbionomic equilibriumbiotechnical productivitycatch-rate functionoptimal equilibrium

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    3-105-FrequencyResponse-ModelingScenario
    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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    Science Behind the Lesson: It's a Bird! It's a Plane! It's Biomechanics!
    Active flight is a specialized mode of movement found in insects, birds, and mammals. The anatomy, morphology, physiology, and ecology of flying taxa has changed over evolutionary time. Researchers...

    Keywords: EvolutionecologybatphysiologyAnatomybiomechanicsbirdFlightinsect

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    Comparing the Effect of Manure Compost vs. Fertilizer on the Growth of Raphanus sativus
    Manure compost is an organic fertilizer made up of manure or natural nitrogen contents, and typically only supplies crops with nitrogen. Synthetic fertilizer is a man-made compound mixture made...

    Keywords: agricultureplants

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    1-055-WaterFallingInCone-ModelingScenario
    We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the...

    Keywords: Torricelli's Lawdischarge coefficientconecontraction coefficient

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    2002-Chai-Optimal initial angle to fire a projectile
    Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance...

    Keywords: optimizationprojectile motionlaunch angle

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    1-058-WaterClocks-ModelingScenario
    We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the...

    Keywords: flowTorricelli's Lawspigotswater clock

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    1-063-ThreeHoleColumnOfWater-ModelingScenario
    We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

    Keywords: fallingcolumn of waterTorricelli's Lawmultiple spigotsspigots

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    IPMpack: an R package for Integral Projection Models
    IPMpack is an R package (R Development Core Team 2013) that allows users to build and analyse Integral Projection Models.

    Keywords: RR-Forgeanimalbiostatisticscomparative analysisecologylongitudinal datamodel comparisonmodel estimationprojectionssurvivaltime seriestrajectoryIPMintegral projection modelsResources @ QUBES - Software

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    2015-Pendrill-Eager-Free fall and harmonic oscillations analyzing trampoline jumps
    In this work, the motion on a trampoline is modelled by assuming a linear relation between force and deflection, giving harmonic oscillations for small amplitudes.

    Keywords: Accelerometersfree falljumptrampoline

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    3-103-PullBackCars-ModelingScenario
    This activity offers analysis of a toy pull-back car: solution of a differential equation from model; data collection and parameter estimation; and adapting the model to predict maximum speed and...

    Keywords: modelingdynamicshands-ontoypull-back carpullback

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    7-010-MultipleDoses-ModelingScenario
    Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus...

    Keywords: drug discoverystep functiondoseDiracdrug administrationinverse Laplace Transformintraveneousbolussteady drip

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    Aquatic Nutrient Levels and Climate Change
    This learning module was designed to introduce students to the aquatic nutrients nitrogen and phosphorus, their roles in ecosystem function and nutrient pollution, and what impacts climate change...

    Keywords: climate changenitrogenwater resourcesfreshwater systemsEutrophicationwater qualitynutrient pollutionphosphorusdischargeTMDL

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    Type I Functional Response
    This module introduces the type I functional response in the context of understanding the relationship between an individual's rate of consumption and food density. It is intended for an...

    Keywords: ecologylinear equationsfood density

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    Pain Medication Treatment Modeling Project
    This classroom modeling project applies mathematical techniques to solve a problem related to drug dosage patterns. Suitable for high school or undergraduate students. Prerequisite: Calculus I.

    Keywords: Mathematical Biologycalculusexponential decayrecursionabsorptionelimination

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    2020-TeachingModule-ModelingFallingColumnOfWater
    We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.

    Keywords: modulecolumn of waterTorricelli's LawTorricelliTeaching Module

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    2003-Bohren-Dimensional analysis-falling bodies--fine art of not solving differential equations
    Dimensional analysis is a simple, physically transparent and intuitive method for obtaining approximate solutions to physics problems, especially in mechanics.

    Keywords: falling bodydimensional analysisdrag

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    1-029-ConeToCubeFlow-ModelingScenario
    An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model...

    Keywords: waterflowTorricelli's Lawconecube

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