Calculus through Data & Modelling: Integration Applications
Master practical applications of integration in calculus, from average value calculations to arc length and area analysis.
Master practical applications of integration in calculus, from average value calculations to arc length and area analysis.
This course cannot be purchased separately - to access the complete learning experience, graded assignments, and earn certificates, you'll need to enroll in the full Integral Calculus through Data and Modeling Specialization program. You can audit this specific course for free to explore the content, which includes access to course materials and lectures. This allows you to learn at your own pace without any financial commitment.
4.7
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What you'll learn
Apply integration to find average values of functions
Calculate arc length and curvature of curves
Analyze motion using velocity and acceleration
Compute areas between multiple curves
Solve real-world accumulation problems
Skills you'll gain
This course includes:
2.15 Hours PreRecorded video
5 quizzes
Access on Mobile, Tablet, Desktop
FullTime access
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There are 4 modules in this course
This comprehensive course explores practical applications of integration in calculus, focusing on measuring accumulated quantities over intervals. Students learn to calculate average values of continuous functions, determine arc length and curvature of curves, analyze motion through velocity and acceleration, and compute areas between curves. The curriculum emphasizes real-world applications in physics, economics, and environmental science, using Riemann sums and definite integrals to solve practical problems.
Average Value of a Function
Module 1 · 1 Hours to complete
Arc Length and Curvature
Module 2 · 1 Hours to complete
Velocity and Acceleration
Module 3 · 1 Hours to complete
Areas Between Curves
Module 4 · 1 Hours to complete
Fee Structure
Instructor
Associate Teaching Professor and Director of Online Programs at Johns Hopkins University
Dr. Joseph W. Cutrone is an Associate Teaching Professor and the Director of Online Programs at Johns Hopkins University, where he specializes in mathematics education. He earned his PhD in Mathematics from Johns Hopkins University, with research interests focused on higher-dimensional algebraic geometry. Since 2006, Dr. Cutrone has taught mathematics at various levels, both online and in traditional classroom settings, holding positions at Johns Hopkins, Northwestern University, Towson University, and Goucher College. His commitment to education is reflected in his extensive teaching portfolio, which includes courses such as Algebra, Applied Calculus with Python, and Linear Algebra. Dr. Cutrone is also active in online education, contributing to platforms like Coursera. His scholarly work includes several publications on topics related to algebraic geometry and has been recognized for its impact within the mathematical community.
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4.7 course rating
20 ratings
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