Johns Hopkins University
Calculus through Data & Modelling: Integration Applications
Johns Hopkins University

Calculus through Data & Modelling: Integration Applications

1,537 already enrolled

Gain insight into a topic and learn the fundamentals.
4.7

(20 reviews)

Intermediate level

Recommended experience

5 hours to complete
3 weeks at 1 hour a week
Flexible schedule
Learn at your own pace
Gain insight into a topic and learn the fundamentals.
4.7

(20 reviews)

Intermediate level

Recommended experience

5 hours to complete
3 weeks at 1 hour a week
Flexible schedule
Learn at your own pace

Details to know

Shareable certificate

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Assessments

5 quizzes

Taught in English

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This course is part of the Integral Calculus through Data and Modeling Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
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There are 4 modules in this course

In this module, we generalize the notion of the average value of a (finite) set of points. Did you ever wonder how we compute the average temperature during the day if infinitely many temperature readings are possible? Or how the average rainfall is calculated? The notions in this module will allow us to expand the idea of an average value to compute averages with (infinite) values over a continuous interval.

What's included

1 video1 reading1 quiz

What do we mean by the arc length of a curve? We might think of fitting a piece of string to the curve and then measuring the string against a ruler. But this is difficult to do when working with a complicated curve. In this module we develop the precise notion of the length and curvature of an arc of a curve in both the xy plane and in space.

What's included

3 videos1 reading1 quiz

In this module, we show how the ideas of tangent and normal vectors can be used in physics to study the motion of an object, including its velocity and acceleration, but now we focus on curves in three dimensional space. The techniques developed here then allow us to study the rates of change for more advanced functions.

What's included

1 video2 readings1 quiz

Finding the area between two curves is not just an interesting application of definite integrals from a geometric view, but when working with the appropriate functions, has applications in economics, business, and even medicine.

What's included

3 videos1 reading2 quizzes

Instructor

Joseph W. Cutrone, PhD

Top Instructor

Johns Hopkins University
20 Courses511,582 learners

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Recommended if you're interested in Math and Logic

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Reviewed on May 23, 2024

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