Calculus 3, part 1 of 2

A total of 47.5 hours of lectures

This is an academic level course for university and college engineering. Due to its size, it is divided into two parts. This page describes the first of those 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.

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 1 of 2

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Get the outline

A detailed list of all the lectures in part 1 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 1 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_NOV24).

Course Objectives & Outcomes for part 1

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Describe position, velocity, speed and acceleration; compute arc length of parametric curves; arc length parametrization.
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Several variants of the Chain Rule, involving different kinds functions. You will also learn how to apply these variants of the Chain Rule for problem solving.
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Optimization of functions of several variables, both on open domains and on compact domains (Lagrange multipliers on the boundary, etc.).
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How to solve problems in multivariable calculus (illustrated with more than 200 solved problems) and why these methods work.
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Parameterize some curves (straight lines, circles, ellipses, graphs of functions of one variable, intersections of two surfaces).
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Limits, continuity and differentiability for functions of several variables. Theory, geometric intuitions, and lots of problem solving.
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Several variants of the Implicit Function Theorem, with various geometrical interpretations; problem solving.

Chamila G.

Udemy student

This course is amazingly structured , with very good explanations with lots of diagrams(sure your are going to understand things really well with those diagrams and Geogebra explanations)

The Professor is Solving problems (lot) on her ipad and walk you through every detail while she is solving the problems.This is pretty helpful to me.

Murat F.

Udemy student

Great course with very thorough explanations and proofs. I was lacking lots of fundamental concepts about Calc 3, which is very important for many more advanced topics, like machine learning, optimization, signals and systems, etc. and now I feel more confident.

Professor Hania is very kind, knowledgeable and answers every question. I took all of her courses, and look forward to her future lectures.

Kin Man L.

Udemy student

Really thorough expanation! I have finally found a course that would not rush into the main topic straightaway, but spend some time on bridging new concepts with our past math learnings. The course is well arrange, I love the way you teach the basics. Apart from the topics like linear alegbra and calculus, I think you can make some courses about mathematical statistics or skills and concept of problem solving and proofs. Thank you.

Kim N.

Udemy student

Great course and great teacher!

This is a rare course for math enthusiasts. Hania made hard concepts simple.

Your course encourages me to move on the next chapters of math.

Thank you very much!

Daniel S.

Udemy student

There are at least a couple of other multi-variable calculus courses at Udemy, but this one promises to be thorough and enriching. A couple of other courses I sampled consisted of perfunctory solutions of very simple exercises and no theory, and they are sadly diminished in comparison to this one, obviously a labor of love on the part of the instructor.

mohamed Y.

Udemy student

best course ever the professor really knows what she is teaching ,,and i really love the way she explains the theory and the proof of each topic ,,because the why is most important in learning than the how,, i hope you make a linear algebra course on udemy the same way as this course ,,,thank u so much and god bless u

Alok K.

Udemy student

This course has been truly amazing with very clear explanations and examples of complex topics in Multivariable Calculus Part 1. I would highly recommend this to anyone interested in learning this subject.

Frederick S.

Udemy student

Absolutely the best course I’ve ever taken. Hope Prof Hania continues to make more. (Courses on ODE’s and PDE’s would be great). Fred S.

Bobby Z.

Udemy student

Very detailed explanations! The professor replies to any questions very quickly. Overall very good experience! 10/10 would recommend.

Wan A.

Udemy student

Excellent materials and coverage Slow moving, because of detailed-oriented. Nothing is left behind Completeness rather than speed of coverage. Patience is needed though, just like learning any serious subjects. Thank you for sharing with the world.

Somesh C.

Udemy student

I want to really thank you for creating this marvelous course!! The content is explained so well!

Afua A.

Udemy student

The professor is exceptional !

Christopher C.

Udemy student

Excellent course! I have found some of the other calc 3 courses helpful for quick referencing specific topics, but this is far and away the best comprehensive course I’ve found to take alongside my credit calculus 3 course. Organization, explanations and visuals are excellent. Highly recommended!

Humberto R.

Udemy student

I just want to congratulate her for the AMAZING effort. WONDERFUL course. Detailed explained. If you want to progressively learn this topic that is applicable to other areas, this is your choice. I cannot wait for the second part of this course.

She is an extremely conscious, empathetic, and humanitarian expert in teaching.

Richard B.

University lecturer in mathematics

No, I was not taking this course. I have been teaching introductory several real variables many times and to varying audience, and it then only is natural to want to know how others do it. The subject is necessarily technical, so one either may hide the details by quickly getting abstract, or else must handle the technicalities directly, a formidable task. Hania is doing the latter, and she is doing it thoroughly. Nothing is swept under the carpet. There is a wealth of examples and graphical illustrations. The prerequisites are largely explained too, slowly and methodically. The student is left no choice but to follow, step by step, learning complicated things without even noticing. Well done, Hania!

Serdar K.

Udemy student

This course is clear, gives a lot of additional background information about the subjects and great organization of videos that makes it really easy to follow.

Scott M.

Udemy student

This is a University quality / level course. I hope that any struggling undergrad mathematics student, who has a lecturer that is not making this subject clear and easy to understand, finds this course. It will do more than just get them through their assignments and tests, it will give them an excellent understanding of Calculus 3

Frank D.

Udemy student

Great and concise explanations Clear pronounciation. Good documentation with the course.

Rick J.

Udemy student

Extremely thorough introduction

Jesaya S.

Udemy student

Excellent pedagogy – very hard to find such lecture from where I come from.

Hopefully, Hania can produce more high-quality lectures on other mathematics topic in the near future, such as Calculus IV, Linear Algebra, Mathematical Physics, and so on.

Gerd B.

Former lecturer

This course will be inspiring for anyone studying calculus of several variables. It is pedagogically and technically well planned and elaborated at every level. The vivid presentations are elegant, clear and well-structured. Accompanying slides contain all the essential and necessary information combined with illustrative figures – crucial and central for the course. Still the slides are not overloaded. Great job!

As a former mathematics lecturer with long experience of teaching calculus of several variables I can strongly recommend this course to students interested in understanding and mastering calculus of several variables.