I am looking for resources to self study graduate-level maths which give similar experience as studying in a university. That usually involves
- Lectures
- Tutorial sessions
- Homework assignments and their solutions
Because often the aims of a textbook is to accompany a course rather than teach from scratch, I am specifically looking for recorded courses and not for textbooks. I am also not looking for series of video lectures, as I find lectures without exercises only useful as a supplement to a full course. To give a few popular examples, there are some full courses at MIT open courseware - when you search for a course, you have the option to select that it should contain homework problems, video lectures, exams etc. There is also NPTEL, where most courses contain lectures and solved exercises.
Now for the not so well-known examples (probably because of the language), there are many full courses in Russian, from MSU and MIPT. Although they are not exactly "organized" as courses, all the materials for most courses are available.
So my question is, are there any other places where I can look for materials if I want to study a course properly, i.e. with lectures and problems to practice (either tutorial sessions or solved homework assignments)? I am looking mainly for graduate-level maths courses. I don't want to specify any particular topic, because it seems at this level learning resources are rather scarce. I would also like to point out that any language is welcome (I speak quite a few languages, and besides, I think automatic translation now works sufficiently well).
Edit: After a couple of comments, I want to further specify, that I am really looking for graduate maths courses, not calculus, simple probability and other introductory, "best-selling" courses offered by MOOCs. I am also not looking for textbooks, again, because textbooks, no matter how good, offer a different experience from a course as taught in university. And also, many people have the opinion that textbook exercises should have no solutions, unlike usual courses, where problem solving is discussed during tutorial sessions.
I have found that sometimes, for more advanced topics, if you know of a professor and you go to his her website, he-she sometimes puts his-her course on their website. So, you won't find the course or topic on edx, coursera but it's on the internet. Let me see if I can find some names for you. Also, I'm not a mathematician so I don't know if the ones associated with the name are advanced enough for you ? I'm more into applied math topics.
Some names are goodman (courant ), george lowther, nicolas privault, mirand holmes cerfon, peter ireland and matt kerr. if you look these people up and then go to the respective website, you'll find some pretty interesting topics.
Those names might not work for you but the way I find names is sort of by luck. Say I was googling for "Solving Backwards Difference Equations". Then, a lot of things will come up. But one might be a say a 10 page handout for a class. In that case, the name of the prof who made the handout might be on the handout or, better than that, the handout might be from the class itself !!!!. Good luck with your endeavor.