How To Self-Study Math

In this video I give a step by step guide on how to self-study mathematics. I talk about the things you need and how to use them so that you can make the best use of your time.

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[sergeydukman]

"Not everything will make sense and that's normal" - the most relieving thought I got in a while, while studying math.

[AB-zqfw]

For anyone struggling with learning anything. Set a timer for 20min and then take a 10 min break. Slowly increase your time spent studying and decrease your time spent breaking. This is a great tactic, especially for learning math.

[lisa_hllr]

I have a love–hate relationship with maths. I love the concept behind it and how everything can be explained by it, and I love solving math problems when I get the answers right and understand it. However, I get super frustrated whenever I get calculations wrong, and my math teacher doesn’t really explain stuff to us.
But this video is so inspiring and makes the process of math studying like a ritual. Huge thanks, I can’t wait to do math tomorrow actually!

[lfgvvfw]

1. Gather your supplies. - Timer, pen, paper to write on without any lines.
2. Pick a quiet location, (very secluded and quite spot to sit down). But if you failed at it, try to find a place you can go.
3. Pick a book- grab a mathbook and start reading it.
.ex) calculus- James Stewart/
(Advice of reading book)
-What section you want to read? -something that's interesting but pushes you a little bit. or you feel uncomfortable.
4. Set the timer to an 1 hour.
5. Start reading a book to make sure you know that definiton
-Try writing down the definiton without looking at the book until you know it
6. Prove it on your own without looking at the solution and do a couple of more practice.
7. Continue reading and doing all the examples.
8. Try to understand as much as you can from the examples given in the book.
9. Starting doing as many problems as you can. -Answering to odd problems is a good help.
10. Problems without any examples - Try to go back to the section and gain some information you can use to help solve the problems.
11. Reflect what you did, how meaningful your time was. -> You learn a lot from mathematics.
12. Buy a binder and stack it on it or throw it away.
13. If you feel uncomfortable or confusing about the math concepts, Study more.
14. Pick an another book to understand it completely.

[cardinalityofaset]

Hey, I really like your method. I use very similar approach, except I don’t have a piece of paper and pen. Instead I use a white board, as I like standing and talking while studying. I often imagine that I am a teacher standing infront of a class, having to explain what I have just read. When I get stuck I go back to the textbook and read it again. The process is really fun and you learn a lot, but it is super time consuming. Revising whole chapter can take up to 6-8 hours.

[yaqubahmed]

Not only he mentions what to study and how to study maths but also he provides nitty-gritty details about the overall process such as what pen and pencils you would be comfortable with and what not. REALLY loved it.

[TheGreekGodOfWallStreet]

I love how empty and plain your study is. It’s like you are some sort of math monk. Very minimalist and very clean as well.

[ericmoulot]

"Just pick a book and go with it" that sounded so poetic I almost cried.

[everyone]

What works for me is even if I have no understanding of the concept, I still follow the steps anyway to solve. I continue onto the next lessons that build on it even though I have no real understanding or what the purpose is. I push myself to at least get the correct solutions and try to see patterns. Over time and with lots of repetition, I get the solutions more easily. Then one day, months later, it will automatically all fit together in my head and I can't believe it took me so long. I use this method all the time and it works. People think I am a genius with math, if they only knew how long it takes me to figure stuff out.

[kinnikuzero]

Dude straight up does math for fun, I barely passed my math courses in engineering and you turn it into a hobby lol.
I also used printing paper not because I'm smart but because it's way cheaper than lined paper. I keep the nice stuff for taking notes and summeries.

[jonko]

Nice! I am almost 40 years old and I decided a while back to start self-studying math. I used to love math back when I was in school but I did not have a good experience studying math and physics at a university some 20 years ago so I dropped out altogether and stopped doing math for years.
But not too long ago my cousin asked me for help on her math homework and helping her reignited my passion for math so I dug up my old Calculus textbook from university that had been collecting dust in storage for 20 years and I am working my way through it. The book is called: Calculus: a Complete Course by Robert A Adams. I am using the 5th edition but there are newer editions of it now. I don't know how it compares to other Calculus books but I think it is alright. The problems in it are great but I find the proofs in it to be somewhat hard to follow sometimes.
I am also studying a bit of Abstract Algebra and I want to start to study Topology at some later date. I am also watching and enjoying your Differential Equations lectures on your channel. Interesting and fun!
Math Sorcerer, I really like your content. Keep up the good work. Greetings from Iceland.

[leokeatonn]

I feel like one thing that has saved me an INSANE amount of time when studying is not trying to understand *how* the math works, but instead to just *accept* that it works and instead focus on learning how to effectively apply it.

[ImranMoezKhan]

Totally agree at 07:40, where you say that it's good to have many different books. That's exactly what I did during university. For every topic that was studied, I'd go through the corresponding chapter/concept for different books in the library till I found a clear explanation I liked and take notes with a reference to the book. Ended up having notes sourced from many different books, but concepts explained in the clearest way. A library is super useful for this.

[michaelrislingnb]

Funny enough I do the same things when I’m learning some math. I found 1 hour to be a perfect studying interval as well :) 2 things I would recommend to everyone, which are related to the “quiet spot tip”: make sure your environment is also visually quiet ie) minimal clutter, even if it’s just in your fieldof view and behind you is a disaster. And the other similar tip is to make sure it smells good :) it really helps relax and put you into a better mood, which makes it easier to concentrate in my opinion.

[sannah]

Hi math sorcerer! I've been scared of maths all my life for some reason and I love physics so maths always comes along with it. I've always felt like giving up on mathematics because I've been so scared but sometimes I've also felt good when I studied maths. Your videos helped me in a very terrible time of my life, and encouraged me to not give up on the subject. I'm still trying my best and learning but thank you so much for making stuff like this!! Much love <3

[CherryWaves]

Great video! Additionally I’ve found that detailed analytical work is best done in a physically low-ceiling environment (like the room in the video) and in the first part of the day (0-9 hours after waking), and creative work is best done in a high-ceiling environment (like outdoors) in the second part of the day (9-16 hours after waking).

[Cutee]

I like people who are good at math because they always have clear thinking, logic, and always have learning methods, they are easy to be trusted by others because they can solve all the problems. When they study, they are very focused and serious, they really work on something that makes me think of scientists, so professional.

[merrraki_music]

I cant tell if your being serious in the supply section 😭😭😭😭

[nolongeramused]

For me it was learning advanced statistics in order to get professional certifications. I had plenty of study material and sample problems, but what really helped was my wife's ancient college textbook that actually explained the concepts I needed to understand. Then I just worked sample problems for hundreds of hours until I got to the point where I just KNEW what equations to use and why. Once I got to that point taking the certification exams was easy.

[kainissen]

2 minutes into this video and I can already tell that you are incredible at what you do. Perfect introduction to doing focused work.