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_OCT26).

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).
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.
Anonymized User
Udemy student
Definitely an amazing course, quite eye-opening. Professor Hania teaches wonderfully and always explains the topics clearly.
NARAYAN R.
Udemy student
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Jacek K.
Udemy student
Great! Very clear explanation, easy English (important for non-native speakers). Recommended.
Tetyana M.
Lecturer
I have been teaching university mathematics in applications for many years. Hania's course is impressive. It lays out the technical concepts clearly and systematically. It illustrates ideas with carefully chosen examples. The large number of solved problems not only helps follow the theory but also effectively prepares for any standard exam in the subject.
Mohammad F.
Udemy student
this is the best course on this topic.
Damian K.
Udemy student
Great course, very well structured topic-wise.

Concepts are explained in a clear and detailed way, using all the right tools to make online learning efficient.

There is a good balance of theory and practice, and lots of examples with step-by-step solutions.

Also approachable if you feel like you could do with a recap of some topics before going into multivariable/vector calculus.
Kim N.
Udemy student
Very brief course, but It covered enough information I need. Thank you very much.
Almir B.
Udemy student
What can I say, she´s the best math teacher I have had;
Bård K.
Udemy student
I have purchased both part 1 and part 2, and strongly recommend it if you do not like the way your university is teaching the subject, or if you want to get complete understanding of the subject, in WAY less time. This is probably the best investment I have made in my time in University! Hania is the best!