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Lesson 12-II: Other Relationships Between Species

In Lesson 12-I, we considered predator-prey relationships. These were modeled by the Lotka-Volterra equations In this lesson, we'll refine the Lotka-Volterra model, and then we'll...

Lesson 12-I: Predators and Prey

In Lesson 11, we considered three subpopulations within one larger population: the susceptibles, the infecteds, and the recovereds. We saw how the rate of change...

Lesson 11: Modeling the Spread of Disease

In Lesson 10, we considered a population with a rumor spreading through it. We made the assumption that nobody ever forgot the rumor, and that...

Lesson 10: More Subtle Population Models

Population models are not limited to births and deaths. All kinds of quantifiable things pass through populations, from income to diseases. In this lesson, we...

Lesson 9-II: Exponential Least Squares

In Lesson 9-I, we used Excel's built-in model fitting to find exponential models for given data. But what's Excel really doing?

Lesson 9-I: Exponential Model Fitting with Excel

In Lesson 8, we saw that there is good theoretical reason to expect populations to grow according to exponential functions. (Actually, we'll see later that...

Lesson 8: Modeling Population Growth

Populations -- whether human, animal, bacterial, etc -- all have common dynamics. Although there are variations, the unifying theme is the appearance of exponential functions....

Lesson 5: Using LINEST for Property Appraisal

The value of a home (important to know for purposes of taxation or real estate sales) depends on a number of factors. Typically appraisals are...

Lesson 4: Maximizing Profit in Two Markets

In Lesson 1, we considered the problem of maximizing profit in the context of declining market price. We solved this problem by finding where the...

Lesson 3: Price Data for Two Markets

This lesson is a continuation of Lesson 1: Maximizing Profit and Market Saturation and Lesson 2: Price Data and Trendlines,  where we considered the profit from...

Lesson 2: Price Data and Trendlines

Video walkthrough of the lesson. In the previous lesson we used the price per suit as a given linear function of the number of suits...

Lesson 0: Intro to Maple

What is Maple? Maple is a computer algebra system. (Other CASes you may have heard of are Mathematica and Matlab.) That means it's able to...