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
Offered By
About this Course
Working knowledge of differentiable calculus and some integral calculus of a single variable function.
Could your company benefit from training employees on in-demand skills?
Try Coursera for BusinessWorking knowledge of differentiable calculus and some integral calculus of a single variable function.
Could your company benefit from training employees on in-demand skills?
Try Coursera for BusinessOffered by
Syllabus - What you will learn from this course
Module 1: Vector Fields and Line Integrals
Module 2: The Fundamental Theorem for Line Integrals
Module 3: Green's Theorem
Reviews
- 5 stars84.61%
- 4 stars11.53%
- 3 stars3.84%
TOP REVIEWS FROM CALCULUS THROUGH DATA & MODELLING: VECTOR CALCULUS
good conceptual coverage of underlying topics
the instructor also was clear in the delivery of the content and the course progressed smoothly
the assignments were challenging but understandable
This is an excellent course to learn advanced calculus. Very well taught!
About the Integral Calculus through Data and Modeling Specialization

Frequently Asked Questions
When will I have access to the lectures and assignments?
What will I get if I subscribe to this Specialization?
Is financial aid available?
More questions? Visit the Learner Help Center.