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

h

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

Z
Describe position, velocity, speed and acceleration; compute arc length of parametric curves; arc length parametrization.
Z
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.
Z
Optimization of functions of several variables, both on open domains and on compact domains (Lagrange multipliers on the boundary, etc.).
Z
How to solve problems in multivariable calculus (illustrated with more than 200 solved problems) and why these methods work.
Z
Parameterize some curves (straight lines, circles, ellipses, graphs of functions of one variable, intersections of two surfaces).
Z
Limits, continuity and differentiability for functions of several variables. Theory, geometric intuitions, and lots of problem solving.
Z
Several variants of the Implicit Function Theorem, with various geometrical interpretations; problem solving.
Christopher C.
Udemy student
Excellent course! I have found some of the other calc 3 courses helpful for quick referencing specific topics, but this is far and away the best comprehensive course I've found to take alongside my credit calculus 3 course. Organization, explanations and visuals are excellent. Highly recommended!
Nawid R.
Udemy student
Amazing course and great professor.
CARLOS G.
Udemy student
the clases are clear. I am able to understand the complex subjects of this course
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!
Bård K.
Udemy student
I have purchased both part 1 and part 2, and strongly recommend it if you do not like the way your university is teaching the subject, or if you want to get complete understanding of the subject, in WAY less time. This is probably the best investment I have made in my time in University! Hania is the best!
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
Chawn N.
Udemy student
Really helpful, east to understand, and exciting course for calc 3 up until midterms! Thanks
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.
Josefana R.
Udemy student
Hania always gives the best courses.
John L.
Udemy student
Great awesome