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    2017-GR_Gustafson-Differential Equations Course Materials
    There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium,...
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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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    1999-McCartney-Carey-Modelling Traffic Flow Solving and Interpreting Differential Equations 
    A simple mathematical model for how traffic flows along a road is introduced.
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    Translocation of Nutrients in the Phloem: Dixon's Paradox
    This module introduces the Dixon equation in the context of understanding nutrient transport through sieve tubes. It is intended for an introductory biology audience.
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    A Lesson on Matter and Energy at the Organismal Scale: Linking Patterns and Processes Across Diverse Taxa
    Pathways and transformations of energy and matter (PTEM) are a conceptually challenging but essential component of biological literacy. Curricular gaps about PTEM nevertheless remain; although...
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    SIMIODE Spring 2024 Webinars - Insightmaker
    We discuss the use of the FREE system dynamics software Insightmaker (https://insightmaker.com/) in a first course in Ordinary Differential Equations (with a modeling emphasis).
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    Engaging Undergraduates in Mechanisms of Tubular Reabsorption and Secretion in the Mammalian Kidney
    If students fail to see the connections among physiological systems, they can become overwhelmed with the amount of information they need to learn. Some students have particular difficulty with the...
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    Learn Biological Sciences and Mathematics through cellular respiration, photosynthesis and primary productivity.
    Photosynthesis is a process by which plants synthesize glucose and oxygen in presence of sunlight through light dependent reactions by utilization of sunlight, water to synthesize oxygen, ATP and...
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    2008-Claire_Vailance-Reaction_Kinetics-Course_Notes
    This is but one of several set of notes which may interest the reader on chemical kinetics.
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    The Carbon Cycle, Climate Change, and Feedback Loops
    I combined material from the Carbon, Climate and Energy Resources Module and the Changing Biosphere Module to help students understand climate change, the carbon cycle, and feedback loops in my...
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    1-076-ClimateBifurcation-ModelingScenario
    We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
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    1-047a-CondensationOptimization-ModelingScenario
    We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top...
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    Mars Colony
    In this exercise students work in groups to design an agroecosystem to feed a Mars Colony while accounting for space and energy transfer limitations.
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    What Shapes a River: Field Lesson
    This lesson introduces students to field methods and theoretical concepts regarding the factors that shape river environments and ecosystems. Introductory material is followed by instruction in...
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    2018-Franklin_Chen-Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model
    This kinetics manual has been successfully implemented in Physical Chemistry at UW-Green Bay in the fall semester of 2017, with the students’ success rate greater than 80%.
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    1989-EY_Rodin-S_Jaques-Countercurrent Oxygen Exchange in the Swim Bladders of Deep-Sea Fish
    Oxygen diffuses from lungs into blood, nutrients diffuse from intestinal tracts into blood and from blood into various cells, and waste products diffuse from cells back into blood.
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    5-005-Dialysis-ModelingScenario
    We design a compartment model of a kidney dialysis machine and compare 3 and 9 compartments for the machine as well as determine the effect of change in one of the parameters in the model on the...
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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...
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    My Fish Tank: An Active Learning Activity for Bacterial Nitrogen Metabolism
    This active learning activity introduces students to the second part of the nitrogen cycle, nitrification. In terrestrial and aquatic environments, bacteria from the Nitrosomonas and Nitrobacter...
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    Ain't No Mountain Pine Enough: A Case Study of How Mountain Pine Beetles are Affecting Ecosystem Processes
    This case study engages students in generating hypotheses and predictions, analyzing and interpreting data, critically evaluating contrasting results in science, and thinking about feedbacks...
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