Calculus through Data & Modelling: Integration Applications
- Offered byCoursera
Calculus through Data & Modelling: Integration Applications at Coursera Overview
Calculus through Data & Modelling: Integration Applications
at Coursera
Duration | 6 hours |
Start from | Start Now |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Intermediate |
Official Website | Explore Free Course  |
Credential | Certificate |
Calculus through Data & Modelling: Integration Applications at Coursera Highlights
Calculus through Data & Modelling: Integration Applications
at Coursera
- Shareable Certificate Earn a Certificate upon completion
- 100% online Start instantly and learn at your own schedule.
- Course 3 of 4 in the Integral Calculus through Data and Modeling Specialization
- Flexible deadlines Reset deadlines in accordance to your schedule.
- Intermediate Level Some working knowledge of differentiable calculus.
- Approx. 6 hours to complete
- English Subtitles: English
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Calculus through Data & Modelling: Integration Applications at Coursera Course details
Calculus through Data & Modelling: Integration Applications
at Coursera
More about this course
- 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.
Calculus through Data & Modelling: Integration Applications at Coursera Curriculum
Calculus through Data & Modelling: Integration Applications
at Coursera
Module 1: Average Value of a Function
Average Value of a Function
Average Value Formulas
Average Value of a Function
Module 2: Arc Length and Curvature
Arc Length for a Plane Curve
Arc Length for a Parametrized Curve
Curvature
Notes: Arc Length and Curvature
Arc Length and Curvature
Module 4: Velocity and Acceleration
Velocity and Acceleration
Notes: Velocity and Acceleration
Sample Problems: Velocity and Acceleration
Velocity and Acceleration
Module 4: Areas Between Curves
Areas Between Curves
Regions Bounded by Several Curves
Finding Area Between Two Curves "dy"
Notes: Double Integrals and Area
Areas Between Curves
Module 3 Test: Applications of Integrals
Calculus through Data & Modelling: Integration Applications at Coursera Admission Process
Calculus through Data & Modelling: Integration Applications
at Coursera
Important Dates
May 25, 2024
Course Commencement Date
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Calculus through Data & Modelling: Integration Applications
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