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    2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
    Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without...

    Keywords: delayHIV-1T cellscombination antiviral therapy

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    2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne
    This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of...

    Keywords: resistanceprojectile motionprojectilefluidMersenne

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    2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
    This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).

    Keywords: sensitivityregressionparameter estimationsystemlow frequency oscillationsoscillations

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    2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
    This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.

    Keywords: environmentsystemequilibrium pointmodel chaoseconomic growthnonlinear

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    9-014-TurkeyCook-ModelingScenario
    The goal of this project is to investigate several models for the cooking time for a turkey based on weight, test these models with data obtained from heating curves for turkeys of various weights,...

    Keywords: sphereheat equationturkeyPanofskyradial symmetry

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    9-012-PDEGuitarTuning-ModelingScenario
    We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on...

    Keywords: extensionsine wavesfrequencyguitardampingFourierstringtuning

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    Using the Hardy-Weinberg Equations: Quantifying Natural Selection and Allele Frequencies
    This module contains exercises designed to walk students through a real-world example of the coevolution of fruit color and primate frugivore color vision. Students will apply the Hardy-Weinberg...

    Keywords: Hardy-WeinbergEvolutionintroductory biologyQuantitative reasoninginterdisciplinaryNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisC6. Quantitative LanguageC1. Numeracy

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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...

    Keywords: scalingdimensionlesscontinuum mechanics

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    2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
    In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence...

    Keywords: biologyDiffusionKeller-Segel modelchemotaxiscrime

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    2008-Duran-Caginalp-Parameter optimization for differential equations in asset price forecasting
    The optimization procedure is used in conjunction with daily market prices (MPs) and net asset values to determine the parameters for which the AFDE yield the best fit for the previous n days.

    Keywords: financeinverse problemnumerical nonlinear optimizationasset flowfinancial market dynamicsmarket return prediction algorithm

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    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the...

    Keywords: financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation

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    1980-Peastrel-Lynch-Armenti-Terminal_velocity_of_a_shuttlecock_in_vertical_fall
    This paper offers a set of data on a falling shuttlecock (the moving object in badminton) in air. How the authors collected the data is described fully and can be replicated easily by modern...

    Keywords: parameter estimationdata collectionresistancefallingterminal velocityNewton's Second Law of Motionshuttlecock

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    Using Student Perceptions and Cooperative Learning to Unpack Primary Literature on Global Change
    This case describes a three-part assignment in which students discuss key processes that regulate the stability and resilience of the Earth system and our increased risk of generating large-scale...

    Keywords: global changeAnthropoceneEarth-systemplanetary boundary conceptthresholds

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    Wind and Ocean Ecosystems (Project EDDIE)
    This module introduces students to the concepts of Ekman transport, eastern boundary currents, and upwelling, while learning how to find a location on a map using latitude and longitude, how to...
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    2016-Spayd-Puckett- A Three-Fold Approach to the Heat Equation - Data Modeling Numerics
    This article describes our modeling approach to teaching the one-dimensional heat (diffusion) equation in a one-semester undergraduate partial differential equations course.

    Keywords: separation of variablesexperimentheat equationLab Equipmentcollect data

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    1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom
    The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a...

    Keywords: differential equationsresistancegravityfree fallaccelerationballoon

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    2014-William_Trench-Elementary_Differential_Equations-Books_and_Monographs
    This is the most widely cited and referenced free online text for differential equations and is very complete. These two books are exactly what they say they are.

    Keywords: differential equationstextbook

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    2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
    I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can...

    Keywords: biologytextbooksystemsdyanmical system

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    Green Design: How do Leaf Structures Optimize Photosynthesis and Promote Survival?
    One of the major learning objectives established by the American Society of Plant Biologists and the Botanical Society of America has students answer the question: How do plant structures enable...

    Keywords: photosynthesisepidermal layerleaf anatomymesophyllpalisade parenchymaplant anatomyplant structure functionspongy parenchymaStomata

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    How to Design a Classroom Activity that Integrates 3D Print Models with Active Learning
    Student exploration of relevant physical models can deepen knowledge of course material. In this guide we describe a method by which instructors can integrate 3D printing technology with an...

    Keywords: active learning3D print modelsclassroom jigsaw

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