Calculus through Data & Modelling: Vector Calculus
Master vector calculus concepts including vector fields, line integrals, and Green's Theorem with applications to real-world problems.
Master vector calculus concepts including vector fields, line integrals, and Green's Theorem with applications to real-world problems.
This course cannot be purchased separately - to access the complete learning experience, graded assignments, and earn certificates, you'll need to enroll in the full Integral Calculus through Data and Modeling Specialization program. You can audit this specific course for free to explore the content, which includes access to course materials and lectures. This allows you to learn at your own pace without any financial commitment.
4.7
(33 ratings)
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What you'll learn
Master vector field concepts and applications
Understand line integrals and their practical uses
Apply Green's Theorem to real-world problems
Analyze conservative vector fields
Develop advanced mathematical modeling skills
Skills you'll gain
This course includes:
1.3 Hours PreRecorded video
3 quizzes
Access on Mobile, Tablet, Desktop
FullTime access
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There are 3 modules in this course
This course provides an advanced exploration of vector calculus, focusing on the applications of integration to vector-valued functions and vector fields. Students learn to work with functions that assign vectors to points in space, developing sophisticated mathematical tools for real-world applications. The curriculum covers essential topics including line integrals, conservative vector fields, and Green's Theorem, culminating in practical applications like the Shoelace Theorem for polygon area measurement and data analysis through peer-reviewed projects.
Vector Fields and Line Integrals
Module 1 · 1 Hours to complete
The Fundamental Theorem for Line Integrals
Module 2 · 1 Hours to complete
Green's Theorem
Module 3 · 2 Hours to complete
Fee Structure
Instructor
Associate Teaching Professor and Director of Online Programs at Johns Hopkins University
Dr. Joseph W. Cutrone is an Associate Teaching Professor and the Director of Online Programs at Johns Hopkins University, where he specializes in mathematics education. He earned his PhD in Mathematics from Johns Hopkins University, with research interests focused on higher-dimensional algebraic geometry. Since 2006, Dr. Cutrone has taught mathematics at various levels, both online and in traditional classroom settings, holding positions at Johns Hopkins, Northwestern University, Towson University, and Goucher College. His commitment to education is reflected in his extensive teaching portfolio, which includes courses such as Algebra, Applied Calculus with Python, and Linear Algebra. Dr. Cutrone is also active in online education, contributing to platforms like Coursera. His scholarly work includes several publications on topics related to algebraic geometry and has been recognized for its impact within the mathematical community.
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4.7 course rating
33 ratings
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