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).
Anurag P.
Udemy student
one of the best courses on mathematics.
Alfonso C.
Udemy student
Excelente profesora. Siento que aprendí realmenteMachine translation: An excellent teacher. I feel like I really learned something.
William P.
Udemy student
outstanding brilliant
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
John H.
Udemy student
Marvellous.
Robert G.
Udemy student
Thank you professor, you are an amazing teacher. Now it is on to the series of linear algebra courses!
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.
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.
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.
Maja K.
Udemy student
Great course. Covers all the topics as a regular Calculus 3 course at the university, but the explanations are clear and understandable with many illustrations and examples. Lots of solved problems is a great help in preparations to final exams. Highly recommended.