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_OCT26).

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.
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.
Richard B.
Lecturer
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!
Joaquin G.
Udemy student
oh yeah !
Almir B.
Udemy student
This course gave me the tools to better understand physics and engineering. Thanks Hania to putted your knowledge and teaching skills in it.
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!
Anonymized User
Udemy student
Overall an amazing course, definitely would recommend it to anyone trying to learn multi variable calculus such as myself. Very well structured, and self studying multivariable calculus was made so much easier with this course as this was my first transition from khan academy to Udemy, being 15yrs old and being done all the prerequisites to this course coming in to it was outstanding. Cannot say much more, just simply amazing!

P.S this is on my dad's business account.
Ishan A.
Udemy student
This is ultra amazing course . So detailed, so much in depth explanation .
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.
Vasanth G.
Udemy student
I am really enjoying this course, after watching Cal 1 and 2 by the same teacher.
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