Calculus 3 (multivariable calculus), part 1 of 2 (Udemy.com)

What can I say the value of this course it is not only contained in the material, I have learned a lot from Hania's courses, simply the careful of developing of the subject is outstanding. Here in this course many of the topics seen in calc 1 and 2 with some features of linear algebra really start making more practical sense. With help of these previous background the problems of surfaces and level curves become richer and less difficult to grasp.

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!

I tried understanding the meaning of the parametrisation by arc length in the video but the example of the rubber band did not help. I was able to understand it more in one of the the youtube videos where they used an example of travelling certain distance in miles (or any other unit) or time taken to travel the same distance. It made more sense to know that the speed has to be same. But there are other videos where your explanation helped me understanding the concept better. Thanks for the hard work.

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.

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.

In the beginning of the course, i found that there was a lake of explanation and illustation of fundamental bases of linear algebra and all thier uses in multivariable calculus and how the link was made between two branches of mathwhich is a crucial point to well-understanding the multivariable functions, and in this part of course i would rpopose the first two chapters of vector calculus book for Susan Colley. But for the rest of what i have finished, i found the course is quite detailles and the instructor gives alot of example and uses all means like online software to illustrate shaps and figures. For me, one of the most and well-explained aprt of this this course was the module of Quadric surfaces

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.

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.

This course introduces a variety of topics in Calculus. The total number and duration of the lectures is impressive and everybody can find the knowledge they were looking for, but watching such a huge amount of lectures takes a lot of time, which is a drawback for impatient students. Luckily, there is a detailed list of all the topics and problems which can help you cherry pick for exactly what you need. Moreover, the course in not expensive, and you really get value for your money. Lectures (by a real university teacher) are taught in beautiful and clear English, with perfect illustrations in presentations. You get to see a lot of digital means in the teaching: surfaces in 3D change their shape with change of parameters x, y and z; formulas are perfectly explained and problems are solved by the teacher in her own handwriting, which gives you almost a classroom experience. I have completed the course and I highly recommend it to all who want to study Calculus 3. The second part of Calculus 3 is even better! I have also completed Calculus 1 and 2 by these instructors.

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!