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).
José F.
Udemy student
Very good course!!. So far I've completed 90% of the content and I've learned a lot from it. The course itself is very well structured and the instructor gives cristal-clear explanations in every chapter, with lots of examples done by her and some others type try-yourself. I have 35 years of experience working as an engineer and I have not needed to solve any integral in my professional life, nor the simplest one. But I like maths from my years on college, that's the reason for me to choose to follow this course. I would like to thank Ms. Uscka-Wehlou for her effort in convey us clear explanations. I wish she could read this.
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
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.
Alfonso C.
Udemy student
Excelente profesora. Siento que aprendí realmenteMachine translation: An excellent teacher. I feel like I really learned something.
Daniel S.
Udemy student
I'm especially appreciative of the excellent use of images of curves and surfaces that are often difficult to visualise. I applaud Professor Hania Uscka-Wehlou's careful preparation of the computational steps for students who may not be fluent in the mechanics of these steps. Actually, this feature was a good exposure for me, as well, as I tend to rush the algebraic steps in completing exercises. The attention to justification of steps is also a good discipline for me to have seen. Not easy for me, perhaps, since I have developed bad habits in derivation over the years, but this may help me slow down as I work through new exercises in the future. Top marks for thoroughness in covering the syllabus, and an always-pleasant and patient manner of addressing students, both in lecture and in the discussion threads. This course is far superior to others on the same topics I have examined at Udemy. This is the one to choose! Well done!
Almir B.
Udemy student
What can I say, she´s the best math teacher I have had;
Anurag P.
Udemy student
one of the best courses on mathematics.
John H.
Udemy student
Marvellous.
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.
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.