TL;DR
YouTube for Graduate-Level Math
YouTube is surprisingly a valuable resource for graduate-level mathematics. Users have recommended channels featuring lectures by renowned mathematicians, such as Richard Borcherds' channel for Algebraic Geometry [1:3]. YouTube offers playlists on complex topics like tensor calculus and category theory, making it a versatile platform for exploring advanced mathematical concepts
[1:1],
[1:4].
MIT OpenCourseWare
MIT's OpenCourseWare (OCW) is frequently mentioned as an excellent resource for structured mathematics courses. It provides access to course materials used in MIT classes, including lecture notes, assignments, and exams. This platform is ideal for those seeking depth and theoretical understanding without the pressure of formal enrollment [1:2],
[4:1].
Khan Academy
For those looking for foundational math education, Khan Academy is highly recommended. It offers a wide range of tutorials covering various math topics, making it suitable for both beginners and those needing a refresher on basic concepts [2:1],
[2:3].
Coursera and EdX
Coursera and EdX are popular platforms offering university-level courses taught by professors from prestigious institutions. These platforms provide structured video lectures and assignments, often for free. Courses like Complex Analysis from Wesleyan on Coursera have been highlighted for their quality [2:2],
[4:2].
Udemy for Specialized Topics
While Udemy was briefly mentioned, it's worth noting that it offers courses on specialized topics such as Abstract Algebra, Algebraic Geometry, and others. However, users should verify the availability and quality of these courses directly on the website [3:1].
Additional Recommendations
For those interested in more structured degree programs, several universities offer online mathematics degrees with flexible pacing. Institutions like Southern New Hampshire University, Indiana University-East Campus, and Western Governors University were mentioned as options [4:6].
Currently taking graduate courses at my university (still in undergrad). I've realized that there are hardly any resources online to help with some of these classes; most of them are pretty low quality blogs from some random Phd student who's just writing for fun.
Where can you find high quality online structured material for graduate level math courses? Or does it not exist?
MIT
Not sure why this got downvoted but this us the best answer. Available at https://ocw.mit.edu/courses/mathematics/
Thank you!
Youtube. No, not joking.
If you search on YouTube you can find actually good content and courses for college level math.
For example here I searched "tensor calculus" and I got a couple of playlists which are pretty good classes on the topic. You can even find pretty complex topics like Category Theory.
People mentioned MIT Open Courses, and you can find those on youtube as well, in addition to open courses from Stanford (like the Suskind lectures) and other universities, not only in math but also other topics like physics and chemistry.
In fact I would recommend checking some physics courses as well since they are perfect to see the math "in action" in physical problems.
Of course I am not saying youtube videos are a perfect substitute for attending classes and content quality might vary, but it is a pretty useful platform.
Have you ever wanted a Fields Medalist teaching you graduate-level mathematics? Borcherds has a YouTube channel, and he's quite active. Here's a playlist with his lectures on Algebraic Geometry
Underrated comment imo.
I have been using YouTube Lectures for over a decade now and its content has only been growing and its quality only been improving.
In fact one can find lectures from almost all field; sometimes even super specific topic, by the greatest mind in the field, and for FREE!
I find attending lectures, prior to reading text books, an efficient way of gaining knowledge and Youtube Lectures has been my tool of doing so.
Indeed. YT has grown exponentially and it's not all cat or gaming vids.
There is a lot of educational content in it and by the views (200K+) it seems lots of students are benefitting.
I would say that hitting the textbook after the lecture is usually pretty efficient. Basically like attending regular classes, almost.
NPTEL (particularly IIT Madras)
Your options are read a textbook, look at online lecture notes (which may be better or worse than a textbook), or watch video lectures by famous mathematicians (e.g. Richard Borcherds). Otherwise just enroll in a graduate course as an undergrad — in my experience most professors are fine with this if you have some sort of background and express interest
It's always good to seek supplemental resources, but also remember that you are now going to start getting into some more specialized stuff. There is definitely less information about graduate level material floating around the internet than there is about introductory material.
Your best bet is to take advantage of the resources you have within the class. That is what the class is for. You have an instructor who knows the material. You also have classmates who are graduate students and probably have more experience with math than you currently do, since you are still an undergrad. Go to office hours and ask questions there. Work with your fellow classmates and see if they have insights into the material.
Theres so many onlime coirses for everything. Edx, coursera, the great courses, with stuff from harvard, yale, mit, etc. Can someone lend a hand and recommend which ones are the best for understanding mathematics. Im doing my undergrad in math atm and am looking for some supplementary material. Thanks guys
If you wanna do some advanced math, complex analysis from Wesleyan on Coursera is really good.
I’ve recommended Khan Academy and Udemy in the past. Both great options!
khanacademy is great for most of math
I will never NOT recommend professor Biezen. Give him a try!
Khan Academy is fantastic. In fact, I went over my internet quota at school due to the amount of tutorials there.
MIT OCW is great if you like more depth, theory as well.
Not lectures but numberphile is nice to just be in awe at mathematics itself.
Is it possible to learn these from Udemy courses: Abstract Algebra, Algebraic Geometry, Analysis, Combinatorics, Differential Geometry, Discrete Mathematics, Logic, Number Theory, Statistics, Set Theory, Topology?
Have you tried checking the website to see if they have these courses?
My interest for math has grown over the past years and I would like to take it further than watching videos. I could purchase some books, but I know that I work better when I’m following a course. I prefer to have a course that define a certain structure and learning outcome, leaving me the flexibility to wander on the sides.
The goal is to have it at my own pace. I already have a job and a field in which I am very happy. I’m not looking to graduate and earn a diploma. So ideally a free online course where I don’t feel pressured.
My interests are diverse. A course that touches on a broader range of topics so I can make up my mind on what I prefer would be ideal.
I’m kind of intrigued by topology, Analysis, and graph theory.
Cheers
EdX and Coursera are two online platforms that offer structured courses on a variety of topics at the university level. Each course is typically offered by a particular university and provides video lectures and assignments designed by real professors. Many of the courses are provided free of charge as well, you just need to follow along with the set schedule if you're looking for feedback on your work.
Which of their courses would you recommend?
I'm looking for the same things. What university did you end up deciding with?
Which of their courses do you recommend? It seems that there are a lot of courses that overlap too. How do you choose which one to take? Is the most recent the best?
It seems that there are a lot of courses that overlap. How do you choose which one to take? Is the most recent the best?
Snhu
Indiana University- East campus
Thomas edison state university
Ottawa University
Bellevue University
University of Illinois- Springfield
Western governors university
[removed]
Para ajuda em questões de matemática escolar, por favor poste no /r/aprendamatematica
I’m a software engineer with few years of experience. Recently, I started making mathematical explanation videos, and in the process, I discovered a real interest in mathematics.
I’d like to explore this further, but I can’t commit to full-time study right now. Are there any shorter-duration or part-time courses (online or otherwise) that you’d recommend for someone like me to deepen my understanding of mathematics?
I’d appreciate any suggestions—from structured courses to MOOCs to self-paced resources.
You can find various courses depending on your needs on nptel
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If you are comfortable with high school level maths (calculus, algebra, etc). You can start with things like abstract algebra and analysis. It also matters what you are interested in. Is it just problem solving or studying more maths.
Mathematics is obviously extremely beautiful and illuminating as a subject so it's also important to pick up the books of your flavor. One recommendation would be Aluffi - Notes from the underground, this book is really nice if you want to understand groups/rings/other algebra stuffs intuitively.
And Books are generally the go to way to study maths. You don't really need lectures but if you want to supplement your reading with lectures, obviously there are some nice YouTube playlists. You can search for reddit answers for youtube videos/playlists/channels for a specific topic say "differential topology" typically on r / math.
Hello, I am looking to enroll in some mathematics courses like (Topology, measure theory, functional analysis, PDE's ...etc), Do you know any universities that are providing online courses, please?
I speak French too, so even French universities providing courses in French may be included. Thank you in advance.
University of Illinois at Urbana-Champaign has courses like that online with instructor support (sometimes called mentors as can be grad students).
Ocw.mit.edu will get you started
Thank you, but I am looking for courses with video lectures and assessments.
Yes and you will find all those and stuff like recommended books. Tests quizzes homework problems and much more on there
For credit? If so, I will let you know when CUNY is online for Spring.
thanks
CUNY will be online for the Spring Semester. So you could take those classes as a non-degree student, if approved, for about $1200 per credit. Hunter college might have General Topology and Real Analysis (Measure Theory) for the Spring.
You will likely need to be admitted to a university / pay as an enrolled student.
I know Ravi Vakil did a pseudo course for Algebraic Geometry and Kiran Kedlaya is doing a similar thing with Algebraic Number Theory. However, you will likely not have grades or assigned coursework due to the size of the courses.
You can always email a professor and ask if they’re able to let you watch the lectures, but you won’t get the support outside of lectures and instruction without enrolling.
Thank you so much, this is very useful!
This is an amazing suggestion. Thanks.
University of North Alabama.
thank you.
Im interested in math. I want to study both calculus and discrete math, what are the best courses? Any free course on any platform is fine.
For calculus, I think Khan Academy has the full suite of quizzes and tests up to the end of integral calculus. When I last checked they only had videos for multivariable, but they may have expanded on it
Specifically, I am looking for online courses or books that cover Python with Pre-calculus, Linear Algebra, Calculus, and Elementary Statistics.
Feel free to suggest other related topics that aren't on my list. Any recommendations would be appreciated!
Look for more-itertools written by Raymond Hettinger. It should available on PyPI and definitely is on GitHub. If its Mathematics. Thats the ideal place to start. Big ideas, little code. He says wonderful teacher, concise programmer.
"Numerical Recipes in Python" PDF (99+) Numerical Recipes in Python
I would recommend you mathematics for machine learning book
The book is available as a PDF download from the companion website
Mike X Cohen courses on Udemy as well as his books.
Depends on the level of math. For the standard US curriculum (pre algebra through calculus) you can use “Pauls online math notes” and KhanAcademy. There are also a ton of youtube channels covering exactly the content you will need. If you want a more traditional approach theres always the option of following along with a virtual textbook (look into library genesis of this route seems ur preferred style)
What do you think about mit ocw calculus ? Do I need an external textbook in mit ocw calculus course?
I used MIT OCW calculus for integral calculus and series, and it was very, very helpful. Professor Leonard on YouTube was great too.
I personally havent done that calc course. Id expect maybe its more rigorous but youll most likely follow the same curriculum. Id say the textbook is optional, if you get stuck there are 50,000 other resources for the topic. If you prefer textbook go for it, if not just look for videos or whatever u prefer with more examples
The ones you use consistently. Math is a game of patience. You could have the best textbook in the world, but without your hard work it's going to about to nothing.
That said, I have always preferred textbooks to interactive stuff, so I don't know if I have more useful advices to give.
Professor Leonard on YouTube has a lot of great videos imo
This.
He's really a fantastic teacher.
This for sure. Has gotten me thru all of my higher level math classes.
Paul’s Online Notes
check the sidebar and the sticky post at the top of the front page.
best online courses for learning mathematics
Key Considerations for Choosing Online Math Courses:
Course Level: Identify your current skill level (beginner, intermediate, advanced) and choose courses that match your needs.
Course Content: Look for courses that cover the specific areas of mathematics you want to learn, such as algebra, calculus, statistics, or discrete math.
Teaching Style: Consider the teaching style of the instructor. Some people prefer video lectures, while others may benefit from interactive problem-solving or written materials.
Reputation and Reviews: Check the reputation of the platform and read reviews from previous students to gauge the effectiveness of the course.
Certification: If you want a formal recognition of your learning, look for courses that offer certificates upon completion.
Recommended Online Platforms:
Coursera: Offers courses from top universities like Stanford and the University of Pennsylvania. Look for courses like "Calculus: Single Variable" or "Introduction to Probability and Data."
edX: Similar to Coursera, it provides access to university-level courses. Consider "Linear Algebra" from MIT or "Statistics and R" from Harvard.
Khan Academy: A free resource that covers a wide range of math topics with interactive exercises and instructional videos. Great for self-paced learning.
Brilliant.org: Focuses on problem-solving and interactive learning. Ideal for those who enjoy a hands-on approach to mathematics.
Udemy: Offers a variety of math courses at different levels. Look for highly-rated courses like "Mastering Data Analysis in Excel" or "Algebra for Beginners."
Recommendation: If you're starting out or looking to strengthen your foundational skills, Khan Academy is an excellent free resource. For more structured learning with a certificate, consider Coursera or edX for university-level courses.
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