Integral Calculus through Data and Modeling Specialization

This specialization builds on topics introduced in single and multivariable differentiable calculus to develop the theory and applications of integral calculus. , The focus on the specialization is to using calculus to address questions in the natural and social sciences. Students will learn to use the techniques presented in this class to process, analyze, and interpret data, and to communicate meaningful results, using scientific computing and mathematical modeling. Topics include functions as models of data, differential and integral calculus of functions of one and several variables, differential equations, and optimization and estimation techniques.
WHAT YOU WILL LEARN
- Model and analyze data using techniques of integration for both single and multivariable functions.
- Numerical methods for integration

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Calculus through Data & Modelling: Integration Applications (Coursera)

Oct 18th 2021
Calculus through Data & Modelling: Integration Applications (Coursera)
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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 [...]
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Calculus through Data & Modelling: Series and Integration (Coursera)

Oct 18th 2021
Calculus through Data & Modelling: Series and Integration (Coursera)
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This course continues your study of calculus by introducing the notions of series, sequences, and integration. These foundational tools allow us to develop the theory and applications of the second major tool of calculus: the integral. Rather than measure rates of change, the integral provides a means [...]
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Calculus through Data & Modelling: Vector Calculus (Coursera)

Oct 18th 2021
Calculus through Data & Modelling: Vector Calculus (Coursera)
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This course continues your study of calculus by focusing on the applications of integration to vector valued functions, or vector fields. These are functions that assign vectors to points in space, allowing us to develop advanced theories to then apply to real-world problems. We define line integrals, which [...]
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Calculus through Data & Modelling: Techniques of Integration (Coursera)

Oct 18th 2021
Calculus through Data & Modelling: Techniques of Integration (Coursera)
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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 [...]
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