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.
This course is part of the Integral Calculus through Data and Modeling Specialization
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Course 4 of 4 in the
Intermediate Level
Working knowledge of differentiable calculus and some integral calculus of a single variable function.
Approx. 5 hours to complete
English
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Reset deadlines in accordance to your schedule.
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Course 4 of 4 in the
Intermediate Level
Working knowledge of differentiable calculus and some integral calculus of a single variable function.
Approx. 5 hours to complete
English
Could your company benefit from training employees on in-demand skills?
Try Coursera for BusinessOffered by
Syllabus - What you will learn from this course
1 hour to complete
Module 1: Vector Fields and Line Integrals
1 hour to complete
2 videos (Total 40 min), 2 readings, 1 quiz
1 hour to complete
Module 2: The Fundamental Theorem for Line Integrals
1 hour to complete
1 video (Total 20 min), 2 readings, 1 quiz
2 hours to complete
Module 3: Green's Theorem
2 hours to complete
1 video (Total 23 min), 1 reading, 2 quizzes
Reviews
- 5 stars86.95%
- 4 stars13.04%
TOP REVIEWS FROM CALCULUS THROUGH DATA & MODELLING: VECTOR CALCULUS
by THApr 1, 2022
This is an excellent course to learn advanced calculus. Very well taught!
About the Integral Calculus through Data and Modeling Specialization

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