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# Mathematical and Statistical Models Examples

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Sea Floor Spreading I part of Examples
In this introductory Excel tutorial (Activity I) students use Excel to explore the geodynamics model equation for ocean depth around a sea-floor spreading center. For students with no prior Excel experience.

Subject: Geoscience:Geology, Oceanography

Sea Floor Spreading II part of Examples
Students import ocean bathymetry data from text files, they then use Excel to graph these observations along with model prediction to assess the model's ability to simulated the observed topographic features of the North Atlantic.

Subject: Geoscience:Geology, Oceanography

Energy Balance Climate Model: Stella Mac and PC part of Examples
Students explore a Global Energy Balance Climate Model Using Stella II. Response of surface temperature to variations in solar input, atmospheric and surface albedo, atmospheric water vapor and carbon dioxide, volcanic eruptions, and mixed layer ocean depth. Climate feedbacks such as water vapor or ice-albedo can be turned on or off.

Subject: Environmental Science:Global Change and Climate:Climate Change:Global change modeling, Environmental Science:Global Change and Climate:Climate Change, Geoscience:Atmospheric Science:Climate Change:Global change modeling, Geoscience:Atmospheric Science:Climatology :Global energy balance

Daisyworld: Interactive On-line PC and Mac part of Examples
Students use a JAVA interface design by R.M. MacKay to explore the Daisy World model. The JAVA interface comes with a link to a 6-page student activity page in PDF format.

Subject: Geoscience:Atmospheric Science:Climate Change:Greenhouse effect, Climate feedbacks, Geoscience:Atmospheric Science:Climatology :Climate sensitivity and feedbacks, Biology:Ecology:Abiotic Relations, Environmental Science:Global Change and Climate:Climate Change:Climate feedbacks, Environmental Science:Global Change and Climate:Climate Change, Climate Change:Greenhouse effect, Geoscience:Atmospheric Science:Climatology :Atmospheric gases, Environmental Science:Ecosystems:Biogeochemical cycling

Mass Balance Model part of Examples
Students are introduced to the concept of mass balance, flow rates, and equilibrium using an online interactive water bucket model.

Subject: Physics, Geoscience:Atmospheric Science:Climatology , Geoscience:Atmospheric Science, Environmental Science:Ecosystems:Biogeochemical cycling

Daisyworld: Stella Mac or PC part of Examples
After constructing a Stella model of Daisyworld students perform guided experiments to explore the behavior of Daisyworld to changes in model parameters and assumptions.

Subject: Geoscience:Atmospheric Science:Climatology , Climate Change:Global change modeling, Geoscience:Atmospheric Science:Climate Change, Biology:Ecology:Abiotic Relations, Geoscience:Atmospheric Science:Meteorology:Forecasting, Environmental Science:Global Change and Climate:Climate Change:Global change modeling

World Population Activity I: Excel part of Examples
(Activity 1 of 2) This activity is primarily intended as an introductory tutorial on using Excel. Students use Excel to explore population dynamics using the Logistic equation for (S-shaped) population growth.

Subject: Environmental Science:Human Population, Mathematics:Statistics

World Population Activity II: Excel part of Examples
(Activity 2 of 2)In this intermediate Excel tutorial students import UNEP World population data/projections, graph this data, and then compare it to the mathematical model of logistic growth.

Subject: Environmental Science:Human Population, Mathematics:Statistics

Medicine in the Body part of Pedagogy in Action:Library:Teaching with Spreadsheets:Examples
In this activity, we will explore how the dosage and frequency of a medicine taken affect the amount of medicine present in the blood.

Subject: Mathematics

Planck Radiation Laws: Excel; Mac or PC part of Examples
Students use an existing Excel workbook to investigate how spectral irradiance from a blackbody radiator depends on temperature, Excel Mac or PC