Multivariable Calculus 1 | Introduction

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This is the start of my series about Multivariable Calculus. Here we give an overview of the series, which is an extension of the my real analysis series.

00:00 Intro
00:39 Prerequisites
02:15 Applications of the course
02:58 Content of the course
04:20 Credits

#MultivariableCalculus
#Analysis
#Integral
#Calculus
#Derivatives
#Mathematicspdt
#Lagrange

(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

[mehdih]

Wow you're such a hard worker :-) now comes the playlist about multivariable calculus... As a French math teacher, your videos help me a lot and I am so grateful for the amazing content you provide. Keep up the good word and once again : THANK YOU VERY MUCH!

[mastershooter]

Woah, new series out of nowhere? nice i can review the topics that i learned! thank youu! will you be covering integration with differential forms in this series?

[lippoinglesi]

excited to finally see one of these courses unfolding little by little, so that my eager soul won't make me watch all of the videos without properly digesting the content

[Duskull]

Thank you for all your hard work! Your videos helped me on a wide variety of notorious difficult subjects. And Im sure this series would be very helpful not only for math majors, but for Physics and engineering students as well :)

[zachedwards]

Nice! I took this course my freshman year of college and I’m going into my junior year now as a math major so this will be a nice review on some of these concepts.

[reefu]

Thank you for these videos, they are amazing! I’ve used your real analysis course to get me through my high level calculus course, and now I’m going through a high level multivariable calculus course, and this is a perfect supplement to my course. I wanted to ask, do you know any good textbooks for multivariable calculus? I’m struggling to find a good one :/

[verafink]

I really love your courses! It‘s very sad that you just recently started this series, I write my Ana II exam on Monday and learning with your videos makes much fun!

[sinanakhostin]

Two questions:
1) Is this course is an absolute prerequisite to complex analysis?
2) How many lectures (approximately) are going to be covering this topic?
I am asking this because I am planning my time to get to Functional analysis and Manifolds.

[Heuristicpohangtomars]

3:26 partial, directional, total dervative

[budokan]

Hi, first of all thank you for this wonderful channel. I have a question in the context of this introductory video. What is the difference between multivariable calculus and vector calculus?
There are some discussions about this question in the web, however I think all answers related to this question are subjective views of the people, hence I cannot say that I found a clear distinction (I personally think both are the same and find further classification unnecessary). But as a lecturer that I highly appreciate, I would like to read your answer. Thank you.

[malawigw]

This is sooo cool, but linear algebra, manifolds and complex analysis is not completed yet?

[evionlast]

Multivariable limits, parametric functions its gonna be fun

[dimitmoto]

Multiple, line and surface integrals?