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_SEP26).

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.
Benji S.
Udemy student
Wonderful teacher of both application and theory. I actually switched from another Udemy Cal 3 course to this one because I required a deeper understanding of the behind-the-scenes mechanisms. She has delivered in spectacular fashion.
Wan Y.
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.
Wais A.
Udemy student
Very thorough covers everything
Rajarshi M.
Udemy student
beyond amazing , this will do a better job than uni , pair it up with problems sets you are more than golden
Thomas P.
Udemy student
nearly perfect
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
John L.
Udemy student
Great awesome
Matteo M.
Udemy student
It is a well-planned and detail-oriented class.
IMO, the best set of math courses available on the Internet.
The Professor is keen to transmit the concepts to the audience through this well-organised, structured, detailed and logical course.
Afua D.
Udemy student
The professor is exceptional !
Luís G.
Udemy student
It's an excellent course and one that, in my opinion, is at the top of its field. It is structured in a very professional, exhaustive way and at the same time is presented in a very pleasant way. The course offers everything; very explicit and explanatory theoretical presentation, very enlightening examples and presented in a detailed way. All of this is accompanied by pdfs of the presentation slides and notes on how to solve the exercises. It was a great pleasure for me to revisit these subjects, in this way, more than 40 years after my first encounter with them. It is undoubtedly the best course I have attended both electronically and in person to date. I therefore intend to use the author's various courses in my cycle of refreshing my knowledge of mathematics.