Calculus through Data & Modelling: Techniques of Integration
Learn how to integrate multivariable functions over different regions in the plane. Explore vector functions and prepare for vector calculus. Discover techniques to approximate definite integrals with discrete data and apply them to real-world problems.
In this course, we build on previously defined notions of the integral of a single-variable function over an interval. Now, we will extend our understanding of integrals to work with functions of more than one variable. First, we will learn how to integrate a real-valued multivariable function over different regions in the plane. Then, we will introduce vector functions, which assigns a point to a vector. This will prepare us for our final course in the specialization on vector calculus. Finally, we will introduce techniques to approximate definite integrals when working with discrete data and through a peer reviewed project on, apply these techniques real world problems.
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