Calculus through Data & Modelling: Techniques of Integration
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.
Monthly Subscription Starting at AED 99 + VAT
- Level Professional
- المدة 5 ساعات hours
- الطبع بواسطة Johns Hopkins University
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Offered by
عن
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.الوحدات
Iterated Integrals
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1
Videos
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2
Readings
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1
Quiz
1
Videos
- Double and Triple Integrals
2
Readings
- Notes: Iterated Integrals
- Sample Problems: Iterated Integrals
1
Quiz
- Iterated Integrals
Double Integrals Over Plane Regions
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1
Videos
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2
Readings
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1
Quiz
1
Videos
- Double Integrals over Regions
2
Readings
- Notes: Double Integrals Over Plane Regions
- Sample Problems: Double Integrals Over Plane Regions
1
Quiz
- Double Integrals Over Plane Regions
Vector Functions
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1
Videos
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2
Readings
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1
Quiz
1
Videos
- Parametric Equations
2
Readings
- Notes: Vector Functions
- Sample Problems: Vector Functions
1
Quiz
- Vector Functions
Integration with Data
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1
Videos
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1
Readings
1
Videos
- Approximate Integration
1
Readings
- Notes: Integration with Data
Peer Review: Air Pollution
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1
PeerReview
1
Peer Review
- Air Pollution
Auto Summary
"Calculus through Data & Modelling: Techniques of Integration" is a comprehensive course in Maths & Statistics offered by Coursera, focusing on integrating multivariable functions and vector functions. Over 300 hours, professional-level learners will explore advanced integration techniques, including approximating definite integrals with discrete data, culminating in a peer-reviewed project tackling real-world problems. Subscription options include Starter and Professional plans. Ideal for those seeking to deepen their understanding of calculus for practical applications.
Joseph W. Cutrone, PhD