Calculus through Data & Modelling: Vector Calculus
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- Public/Government Institute
Calculus through Data & Modelling: Vector Calculus at Coursera Overview
Calculus through Data & Modelling: Vector Calculus
at Coursera
Duration | 5 hours |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Intermediate |
Official Website | Explore Free Course  |
Credential | Certificate |
Calculus through Data & Modelling: Vector Calculus
Table of contents
Calculus through Data & Modelling: Vector Calculus at Coursera Highlights
Calculus through Data & Modelling: Vector Calculus
at Coursera
- Shareable Certificate Earn a Certificate upon completion
- 100% online Start instantly and learn at your own schedule.
- Course 4 of 4 in the Integral Calculus through Data and Modeling Specialization
- Flexible deadlines Reset deadlines in accordance to your schedule.
- Intermediate Level Working knowledge of differentiable calculus and some integral calculus of a single variable function.
- Approx. 5 hours to complete
- English Subtitles: English
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Calculus through Data & Modelling: Vector Calculus at Coursera Course details
Calculus through Data & Modelling: Vector Calculus
at Coursera
Skills you will learn
More about this course
- 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 can be used to fund the work done by a vector field. We culminate this course with Green's Theorem, which describes the relationship between certain kinds of line integrals on closed paths and double integrals. In the discrete case, this theorem is called the Shoelace Theorem and allows us to measure the areas of polygons. We use this version of the theorem to develop more tools of data analysis through a peer reviewed project.
- Upon successful completion of this course, you have all the tools needed to master any advanced mathematics, computer science, or data science that builds off of the foundations of single or multivariable calculus.
Calculus through Data & Modelling: Vector Calculus at Coursera Curriculum
Calculus through Data & Modelling: Vector Calculus
at Coursera
Module 1: Vector Fields and Line Integrals
Vector Fields
Line Integrals
Notes: Line Integrals
Sample Problems: Line Integrals
Line Integrals
Module 2: The Fundamental Theorem for Line Integrals
The Fundamental Theorem for Line Integrals
Notes: Line Integrals and Conservative Vector Fields
Sample Problems: Line Integrals and Conservative Vector Fields
Line Integrals and Conservative Vector Fields
Module 3: Green's Theorem
Green's Theorem
Notes and Sample Problems: Green's Theorem
Green's Theorem
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