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.
AA
good conceptual coverage of underlying topicsthe instructor also was clear in the delivery of the content and the course progressed smoothlythe assignments were challenging but understandable
LS
Instruction became more rushed as the material became more complex and abstract.
TH
This is an excellent course to learn advanced calculus. Very well taught!
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I love the video lecture. This class gave me the confidence to explain vector calculus to my son. The subject I was very lousy at back in college.
Thank you professor Cutrone and the staffs at John Hopkins
Unfortunately, the instructor gives us formulas but doesn't explain where they come from. I know that the proofs might be quite difficult and beyond the scope of that course, but it would be good to at least give some intuitions. Just knowing formulas and being able to compute things isn't learning mathematics properly. On a positive note, however, the instructor shows how to pick a proper method for a given problem so that we don't end up doing more work than necessary.
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!
Best instructor period!!
Muy practico y divertido
the course is amazing..
保守场矢量 下的线积分与路径无关
amazing
Instruction became more rushed as the material became more complex and abstract.
There seems some errors in the test
Im not able to enter the answer