M2O2C2 is an invitation to think carefully about how one thing changing affects something else. What is the "derivative" of a function of many variables? How can a curved object be approximated by a flat plane? What does the chain rule look like when many things are affecting many other things? How do we find an input which maximizes a function of many variables?
This is a first course in multivariable differential calculus, but along the way, we will also introduce a ton of linear algebra. The result is a course targeted at a student who has seen a bit of calculus and who is willing to learn about linear transformations and vectors; such a student will have the best possible vantage point from which to explore derivatives of functions of many variables.
All lectures and written instructional materials developed for this course by the Ohio State University are licensed under the Creative Commons AttributionNonCommercial-ShareAlike 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/4.0/
This course is a first taste of multivariable calculus, but viewed through the lens of linear algebra. Introducing matrices (and linear transformations!) permits us to share a more coherent story about multivariable differential calculus.
Week 1: Multiple variables Week 2: Limits and derivatives Week 3: The chain rule Week 4: Second derivative Week 5: Optimization Week 6: Higher derivatives
Start your review of Massively Multivariable Open Online Calculus Course
Emanuel Boghiu completed this course.
It was a really interesting experience. At first I wasn't sure about the lack of video lectures, but I got used to it. Once you get over this barrier it proves to be an excellent course. It's very beautiful (latex is awesome) and exercises are integrated...
It was a really interesting experience. At first I wasn't sure about the lack of video lectures, but I got used to it. Once you get over this barrier it proves to be an excellent course. It's very beautiful (latex is awesome) and exercises are integrated nicely into the course. After reading some theory you get to practice right away what you've learned and you don't have to stop the video and search for homework.
But even so, the main reason I enjoyed this course isn't the platform but the material! Linear algebra and calculus are blended together from the start and as you learn you see how elegantly these two are tied together in multivariable calculus. I got a little online exposure to different ways to teach multivar calc (for beginners) like the online free video lectures from MIT and the approach there is different. In the end I suppose it is a matter of preference but I would personally start with linear algebra from the start like in this course. It's just so much better (imo).
Anyway, if you're interested in this subject give it a shot. It's not too long (6 weeks the first part - second one hasn't been released yet of this date) and it's definitely worth it.
Gaetano Pagani completed this course, spending 6 hours a week on it and found the course difficulty to be hard.
Prof. Fowler made me opening my old university books on linear algebra once again after so many years!!! It was great, quite hard but great. I was really satisfied with myself having completed this course with distinction. It was also interesting for the new format of making lessons without videos and with intermediate examples in each section. Once again thanks Jim for making this course possible.
Grzegorz Gwardys completed this course.
There are no videos in place, where difficult concepts are introduced. There can be no image, while the discussed topic is a geometric one.
I am amazed of above flattering opinions - there are plenty of comments with statements like: "I've just understood this, after watching [Khan Academy or other one]".
Pros: good selection of topics, treating algebra and calculus as complementary subjects.