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).
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.
Gary E.
Udemy student
This class is clear and concise. She spent a lot on the material and presentation.
Robert G.
Udemy student
Thank you professor, you are an amazing teacher. Now it is on to the series of linear algebra courses!
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.
Jacek K.
Udemy student
Great! Very clear explanation, easy English (important for non-native speakers). Recommended.
Kim N.
Udemy student
Very brief course, but It covered enough information I need. Thank you very much.
Alfonso C.
Udemy student
Excelente profesora. Siento que aprendí realmenteMachine translation: An excellent teacher. I feel like I really learned something.
NARAYAN R.
Udemy student
Prof. Hania Uscka-Wehlou is not merely a teacher—she is a celestial constant in the ever-expanding universe of knowledge, par excellence in every respect, in every dimension, spanning an infinite academic space where rigor meets revelation.

Her preparation for an intricate, unforgiving course is no less than an artistic symphony of logic and clarity. Each lecture, meticulously orchestrated, leaves us breathless—not from bewilderment, but from the awe of witnessing complex abstraction rendered luminously clear.

To the fortunate math minds at Udemy, she is more than an instructor—she is a luminous beacon, guiding students through the labyrinth of mathematics with unwavering precision and deep compassion. Truly, she is a rare and radiant boon—an intellectual treasure whose impact resonates far beyond the boundaries of the classroom.
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.
John H.
Udemy student
Marvellous.