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

When you buy the course on Udemy, you get access to it for life. There is just a one-time fee. The prices do vary a lot on Udemy, but if you use our link by clicking on this panel, you will get the best current price. See also our page on “coupon codes” in the menu (the current code is TPOT_SEP26).

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).
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!
Andrzej P.
Udemy student
A fantastic and thorough series. It is exactly what I needed to continue to learn Calculus! All concepts are clearly explained and there are many worked out examples that are easy to follow. I really like that the videos provide intuition and motivation for the topics that are being discussed. The quality of the sound and the recording is great.
Anonymized User
Udemy student
Definitely an amazing course, quite eye-opening. Professor Hania teaches wonderfully and always explains the topics clearly.
Kirtan S.
Udemy student
I like the course so much. It like the teaching style of mam, the presentation, the way mam solves questions on Ipad and also course design. Best course for Mutlivariable Calculus.
Ishan A.
Udemy student
So beautifully explained . So much hard work . Awesome illustrations, awesome animations . plain lucid language .. by far the best course i have done on this subject . even my university teachers could not explain this subject as lucidly as she has done
Christer K.
Lecturer
This course is of the utmost quality in all respects. First of all the global organization of the topics. It is very well done and enables the student to rapidly grasp the subjects treated. Next the presentation of the various parts, which means that a student who do not need to study everything can make a well-based choice. Third, the presentation is perfect in all its details. And there is indeed a lot to think about in such a course, since it is rather difficult. The contents is very rich and well chosen---Hania has performed a highly non-trivial task. Finally, the language, the tone in addressing the students, is fine and most friendly.
Mohammad F.
Udemy student
this is the best course on this topic.
Sam B.
Udemy student
this been truly ggo match for me, i just love it and enjoy it. Very ease and smooth to use, but sometimes went lag..thank you
J M.
Udemy student
This course is fantastic. It is easily worth 2–3x the asking price.

The lecturer and editor take care to present concepts in an understandable way. The material is typeset well and utilizes color effectively. In addition to the extensive examples and proofs, the authors provide further notes on the technical/rigorous details for those who need them.

This Udemy course has greatly enhanced my university class on the same topic. Thank you to the authors. Your excellent content has given me confidence for my exams.
Bernard X.
Udemy student
parfait. Je pense avoir beaucoup appris avec beaucoup de plaisir. MerciMachine translation: Perfect. I think I learned a lot and really enjoyed it. Thank you