Calculus through Data & Modelling: Integration Applications

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Course Overview

What You'll Learn

  • This course continues your study of calculus by focusing on the applications of integration.
  • The applications in this section have many common features.
  • First, each is an example of a quantity that is computed by evaluating a definite integral.

This course continues your study of calculus by focusing on the applications of integration. The applications in this section have many common features. First, each is an example of a quantity that is computed by evaluating a definite integral. Second, the formula for that application is derived from Riemann sums. Rather than measure rates of change as we did with differential calculus, the definite integral allows us to measure the accumulation of a quantity over some interval of input values. This notion of accumulation can be applied to different quantities, including money, populations, weight, area, volume, and air pollutants. The concepts in this course apply to many other disciplines outside of traditional mathematics. We will expand the notion of the average value of a data set to allow for infinite values, develop the formula for arclength and curvature, and derive formulas for velocity, acceleration, and areas between curves. Through examples and projects, we will apply the tools of this course to analyze and model real world data.

Course FAQs

Is this an accredited online course?

Accreditation for 'Calculus through Data & Modelling: Integration Applications' is determined by the provider, Johns Hopkins University. For online college courses or degree programs, we strongly recommend you verify the accreditation status directly on the provider's website to ensure it meets your requirements.

Can this course be used for continuing education credits?

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How do I enroll in this online school program?

To enroll, click the 'ENROLL NOW' button on this page. You will be taken to the official page for 'Calculus through Data & Modelling: Integration Applications' on the Johns Hopkins University online class platform, where you can complete your registration.