![]() ![]() ![]() This is a course to learn applications of calculus to other fields, and NOT a course to learn the basics of calculus. You will need to be familiar with the basics of derivatives, integrals, and differential equations, as well as functions involving polynomials, exponentials, and logarithms. ![]() This course is for anyone who has completed or is currently taking a single-variable calculus course (differential and integral), at the high school (AP or IB) or college/university level. Key topics include application of derivatives, integrals and differential equations, mathematical models and parameters. This course provides a unique supplement to a course in single-variable calculus. With real practitioners as your guide, you’ll explore these situations in a hands-on way: looking at data and graphs, writing equations, doing calculus computations, and making educated guesses and predictions. How Einstein’s Energy Equation, E=mc2 is an approximation to a more complicated equation.How statisticians use functions to model data, like income distributions, and how integrals measure chance.How the Lotka-Volterra predator-prey model was created to answer a biological puzzle.How biologists use differential equation models to predict when populations will experience dramatic changes, such as extinction or outbreaks.How an x-ray is different from a CT-scan, and what this has to do with integrals.How economists model interaction of price and demand using rates of change, in a historical case of subway ridership.How standardized test makers use functions to analyze the difficulty of test questions.Through a series of case studies, you’ll learn: In this course, we go beyond the calculus textbook, working with practitioners in social, life and physical sciences to understand how calculus and mathematical models play a role in their work. ![]()
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