link Origem: www.edx.org
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assignment Nível: Intermediário
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Informações principais

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timer 30 total de horas

Sobre o conteúdo

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.

Through a series of case studies, you’ll learn:

  • How standardized test makers use functions to analyze the difficulty of test questions;
  • How economists model interaction of price and demand using rates of change, in a historical case of subway ridership;
  • How an x-ray is different from a CT-scan, and what this has to do with integrals;
  • How biologists use differential equation models to predict when populations will experience dramatic changes, such as extinction or outbreaks;
  • How the Lotka-Volterra predator-prey model was created to answer a biological puzzle;
  • How statisticians use functions to model data, like income distributions, and how integrals measure chance;
  • How Einstein’s Energy Equation, E=mc2 is an approximation to a more complicated equation.

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.

This course provides a unique supplement to a course in single-variable calculus. Key topics include application of derivatives, integrals and differential equations, mathematical models and parameters.

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. 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 is a course to learn applications of calculus to other fields, and NOT a course to learn the basics of calculus. Whether you’re a student who has just finished an introductory Calculus course or a teacher looking for more authentic examples for your classroom, there is something for you to learn here, and we hope you’ll join us!

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Pré-requisito

Single-variable Calculus (derivatives, integrals and basics of differential equations); College or AP/IB High School Level

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Programa de estudos

  • Authentic examples and case studies of how calculus is applied to problems in other fields
  • How to analyze mathematical models, including variables, constants, and parameters
  • Appreciation for the assumptions and complications that go into modeling real world situations with mathematics
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Instrutores

John Wesley Cain
Senior Lecturer, Mathematics
Harvard University

Juliana Belding
Professor of the Practice in Mathematics
Boston College

Peter M. Garfield
Teaching Faculty
University of California Santa Barbara

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Criador do conteúdo

Harvard Université

A Universidade de Harvard, ou simplesmente Harvard, é uma universidade privada americana situada em Cambridge, uma cidade na zona de Boston, no estado de Massachusetts. Fundada em 28 de outubro de 1636, é a mais antiga instituição de ensino superior dos Estados Unidos.

Faz parte da Ivy League, um agrupamento informal de oito universidades da costa leste dos Estados Unidos. Mais de 70 dos seus estudantes ganharam prémios Nobel. Tem 2.497 professores, 6.715 alunos de graduação e 12.424 alunos de pós-graduação. Harvard atrai estudantes de todo o mundo (132 nacionalidades representadas em 2004).

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Plataforma

Edx

EdX est une plateforme d'apprentissage en ligne (dite FLOT ou MOOC). Elle héberge et met gratuitement à disposition des cours en ligne de niveau universitaire à travers le monde entier. Elle mène également des recherches sur l'apprentissage en ligne et la façon dont les utilisateurs utilisent celle-ci. Elle est à but non lucratif et la plateforme utilise un logiciel open source.

EdX a été fondée par le Massachusetts Institute of Technology et par l'université Harvard en mai 2012. En 2014, environ 50 écoles, associations et organisations internationales offrent ou projettent d'offrir des cours sur EdX. En juillet 2014, elle avait plus de 2,5 millions d'utilisateurs suivant plus de 200 cours en ligne.

Les deux universités américaines qui financent la plateforme ont investi 60 millions USD dans son développement. La plateforme France Université Numérique utilise la technologie openedX, supportée par Google.

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