Calculus 3, part 2 of 2

A total of 44.5 hours of Video in 200 lectures

This is an academic level course for university and college engineering. Due to its size, it is divided into two parts.

Level - Intermediate

You need to be familiar with Calculus 1 and Calculus 2 and some Linear Algebra before you can make full use of this course. You should also have worked through part 1 of this course beforehand.

Curriculum

Make sure that you check with your professor what parts of the course you will need for your exam. Such things vary from country to country, from university to university, and they can even vary from year to year at the same university.

Calculus 3, part 2 of 2

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Outline part 2

A detailed list of all the lectures in part 2 of the course, including which theorems will be discussed and which problems will be solved. If you are looking for a particular kind of problem or a particular concept, this is where you should look first.

Get Calculus 3 part 2 on Udemy

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Course Objectives & Outcomes for part 2

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How to solve problems in multivariable calculus and vector calculus (illustrated with more than 150 solved problems) and why these methods work.
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Direct and inverse substitutions for multiple integrals with many examples; Fubini’s theorem for various types of domains.
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Green’s, Stokes’ and Gauss’ theorems.
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Surfaces as graphs of functions of two variables and parametric surfaces; normal vectors and orientation of surfaces; boundary of a surface.
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7 types of integrals: double, double improper, and triple integrals; line integrals and surface integrals of functions and of vector fields.
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Conservative vector fields and their potentials; fundamental theorem for conservative vector fields.
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Gradient, curl and divergence.
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Five methods of computing line integrals of vector fields and four methods of computing surface integrals of vector fields (flux integrals).
C T.
Udemy student
Excelent with very clear and thorough explanations
Somesh C.
Udemy student
I am so grateful for this course. Hania Uscka-Wehlou has taken so much effort to create such an extensive course on Calc 3. I have already completed Calc 3 part 1 course and she covers every point in details, going right from the pre-reqs to the advanced concepts. She is an excellent instructor.
Wanda W.
Udemy student
I have completed the course, and I highly recommend it to all who wants to study Calculus 3!
Richard B.
Lecturer
Another excellent course from Hania. The quality of exposition does not get better. The devil is in the details, they say, and Hania again proves them right: work out the details, and things fall into place. The material is classical, central for physics, engineering, and many branches of applied mathematics. But it is technical, hard to assimilate in standard classroom setting. Hania's course offers a neat way out, not only effective, but also, I think, enjoyable.
Matthew T.
Udemy student
When I complete this course I will be on another level.
Kim N.
Udemy student
Very brief course, but It covered enough information I need. Thank you very much.
Sayan D.
Udemy student
Great Course! Thanks Professor.
Mohammad F.
Udemy student
this is the best course on this topic.
Roman
Udemy student
Great in-depth and consistent course. Gives a lot of insights to vector calculus. Hania, thanks a lot for what you do!
William P.
Udemy student
outstanding brilliant