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.
Gary E.
Udemy student
This course is well presented. She explains the concepts very clearly and in an order that flows well. Thank you for your work putting these courses together.
Kin 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.
Sergio F.
Udemy student
Very good explanation about the content of this course.
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.
Nathan B.
Udemy student
I've found that even when I understand the theory and KNOW how to solve the problems (or think I do), I STILL benefit from watching the solutions, because there's often some clever algebraic trick that I wouldn't have thought of, or would have taken me a long time to realize. Thank you for making these videos and taking the time to work through the examples to solidify the theory. I'm such a nerd, I binge your math videos instead of Netflix!
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.
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!
Andrzej P.
Udemy student
This course is perfect for people who would like to gain a good and thorough understanding of calculus. The lectures provide great explanations of a wide variety of subjects, with many pictures to illustrate what the covered concepts mean. There are plenty of expertly chosen and well explained exercises to choose from which show the most important techniques in calculus in an easy to follow manner.
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!
Yuanqi J.
Udemy student
perfect over udemy