Massively Multivariable Open Online Calculus Course

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8/10 stars
based on  4 reviews
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Cost FREE
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Massively Multivariable Open Online Calculus Course

Course Details

Cost

FREE

Upcoming Schedule

  • On demand

Course Provider

Coursera online courses
Coursera's online classes are designed to help students achieve mastery over course material. Some of the best professors in the world - like neurobiology professor and author Peggy Mason from the University of Chicago, and computer science professor and Folding@Home director Vijay Pande - will supplement your knowledge through video lectures. They will also provide challenging assessments, interactive exercises during each lesson, and the opportunity to use a mobile app to keep up with yo...
Coursera's online classes are designed to help students achieve mastery over course material. Some of the best professors in the world - like neurobiology professor and author Peggy Mason from the University of Chicago, and computer science professor and Folding@Home director Vijay Pande - will supplement your knowledge through video lectures. They will also provide challenging assessments, interactive exercises during each lesson, and the opportunity to use a mobile app to keep up with your coursework. Coursera also partners with the US State Department to create “learning hubs” around the world. Students can get internet access, take courses, and participate in weekly in-person study groups to make learning even more collaborative. Begin your journey into the mysteries of the human brain by taking courses in neuroscience. Learn how to navigate the data infrastructures that multinational corporations use when you discover the world of data analysis. Follow one of Coursera’s “Skill Tracks”. Or try any one of its more than 560 available courses to help you achieve your academic and professional goals.

Provider Subject Specialization
Humanities
Sciences & Technology
4904 reviews

Course Description

M2O2C2 provides a first taste of multivariable differential calculus. By introducing the machinery of linear algebra, this course provides helpful tools for understanding the derivative of a function of many variables.
Reviews 8/10 stars
4 Reviews for Massively Multivariable Open Online Calculus Course

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jim hopper profile image
jim hopper profile image
10/10 starsCompleted
  • 1 review
  • 1 completed
6 years, 5 months ago
This class is outstanding and I look forward to follow ons. The activity model of doing problems as you go rather than sitting though a lecture is an excellent paradigm, but could be improved by having more video lectures added. Its not just watching someone derive this stuff, its knowing how the material is discussed in human language and not just as symbols. The class was a living breathing thing as the class materials were all on github so that students could propose edits of the course pages to help correct mistakes and offer extended material as the course progressed the quality of the previous weeks were improved by this process. I would like the material to add more applications and show what is the math used for is probably my biggest wish for future versions of the class.
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4/10 starsDropped
  • 26 reviews
  • 24 completed
4 years, 7 months ago
Despite a 100% in the first quiz i dropped this course as it wasn't made for me . There were no lectures and also no explanations to aid my understanding of the topic. The forum was also relocated to a special university forum which i found difficult to search my way back to questions i had asked .I would however take this course again and see how i go knowing more mathematics .I find this course was not good at "teaching" .
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Homer Thompson profile image
Homer Thompson profile image
9/10 starsCompleted
  • 9 reviews
  • 7 completed
6 years, 6 months ago
This is a pretty advanced introduction to multivariable calculus, taught from the mathematician's point of view as opposed to the engineer's. With a few engineering multivariable courses already available online (for instance, Denis Aurox's brilliant 18.02 course at MIT OCW), it's really nice to see one that treats the derivative as a linear map, matrices as representations of linear transforms, kth derivatives of real valued maps as k-linear forms, and so on. It's not a complete introduction to linear algebra by any means, but gives you enough to really understand differentiation while giving some tools that should help towards constructing a theory of integration in Rn in the upcoming follow-up course. There is a lot of material in this course and you are asked (but not required for credit) to prove lots of the theorems, so you can get a very good intro to the subject. Not quite Calculus on Manifolds level since occasionally a crit... This is a pretty advanced introduction to multivariable calculus, taught from the mathematician's point of view as opposed to the engineer's. With a few engineering multivariable courses already available online (for instance, Denis Aurox's brilliant 18.02 course at MIT OCW), it's really nice to see one that treats the derivative as a linear map, matrices as representations of linear transforms, kth derivatives of real valued maps as k-linear forms, and so on. It's not a complete introduction to linear algebra by any means, but gives you enough to really understand differentiation while giving some tools that should help towards constructing a theory of integration in Rn in the upcoming follow-up course. There is a lot of material in this course and you are asked (but not required for credit) to prove lots of the theorems, so you can get a very good intro to the subject. Not quite Calculus on Manifolds level since occasionally a critical result will just be quoted (e.g., the implicit function theorem), but it's still a pretty well-developed theoretic treatment of multivariable differential calculus. I really would like to see the implicit function theorem added, as well as a discussion of finite dimension inner product spaces if/when this course is offered again, as I needed both to prove the result on Lagrange multipliers. With that said, some people will be put off by the focus on solving problems as you read the material; there is almost nothing in the way of videos. The course is more like going through a really well-written workbook. I really hope Jim adds some more video in future iterations, because sometimes it really helps to have an expert derive a difficult result or execute a difficult computation in front of you. But the learning activities that form the real meat of the course are outstanding. There are theoretic problems, computational problems, and it's a great way to learn by doing instead of by watching. I fully agree with Jim and Steven that this is much a better format than the typical 1-3 hours of weekly video you usually see on coursera, though I think some video on the hairier parts would still be pretty helpful. You can tell this course is a ton of work for Jim and Steven. It's a bit rough around the edges with bugs in the activities in this first run, but those should be mostly ironed out by the second offering, since they're corrected pretty quickly here in the first. Another big plus to this course is that Jim and Steven are both very active on the board answering questions. You can tell these guys are enthusiastic about the material, and I'm really excited to see where they go from here with their future offerings. Jim and Steven both sound like kids in the candy store when they talk about future courses they'd like to offer. I hope they can do them in this style. Overall, even with some of the omissions I pointed out above, the material is really incredible and the problem solving approach to me really helps to make the difficult topics like multilinear forms fall in place. YMMV, but the material presented in this format taught me a lot.
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Charles McCall profile image
Charles McCall profile image
8/10 starsCompleted
  • 3 reviews
  • 3 completed
6 years, 5 months ago
The course was my first exposure to multivariable calculus and I have nothing to compare it to. So consider this the perspective of a multivariable newbie. Cons: 1) Buggy launch, but all that should be fixed the second time around. 2) Not enough. Not enough exploration of the implications of the material presented; not enough examples; not enough problems to solve. I finished feeling that my grasp of the material would be ephemeral and easily forgotten. Pros: 1) Minimal time spent passively watching videos, I like to interact ; ). 2) Wonderful, wonderful staff! They seem to genuinely want each and every student to understand and to pass. They were constantly on the forums answering questions. I only wish they had more help. 3) Python. Each section has optional assignments on Python programs applied to the math. This part of the course was minimally stressed but it was there for those who wanted to pursue it. It certainly adds to the ... The course was my first exposure to multivariable calculus and I have nothing to compare it to. So consider this the perspective of a multivariable newbie. Cons: 1) Buggy launch, but all that should be fixed the second time around. 2) Not enough. Not enough exploration of the implications of the material presented; not enough examples; not enough problems to solve. I finished feeling that my grasp of the material would be ephemeral and easily forgotten. Pros: 1) Minimal time spent passively watching videos, I like to interact ; ). 2) Wonderful, wonderful staff! They seem to genuinely want each and every student to understand and to pass. They were constantly on the forums answering questions. I only wish they had more help. 3) Python. Each section has optional assignments on Python programs applied to the math. This part of the course was minimally stressed but it was there for those who wanted to pursue it. It certainly adds to the richness of the course. Overall, it was an excellent course which, at my level, I found quite challenging.
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