We Need To Talk About Self-Studying Mathematics

Add to the video: get a book with answers.

I remember that we had to offer math courses in the engineering department as the students would come back with too many D grades from calculus and linear algebra courses from the math departments

On time! Thank you❤

priced out of school at this point

Great information. I just graduated with my bachelor's degree in supply chain, transportation, and logistics management, and I'm currently looking for a good master's degree in applied mathematics to apply it to logistics functions.

I'm lost, thank you for making this video. Your efforts are appreciated.

What do you think about actuary math? Is it a good profession? I love math

I feel like this applies to self-studying things in general, not just mathematics.

Bro looks like a swole ass Isaac Newton reincarnated

Hi math sorcerer,could you do a video about well known math competitions for adults ?

In this day in age who really "learns" on their own. It's not like we're neanderthals discovering fire in the wild on our lonesome. We are equiped with the internet a vast amount of information and forums/communities that have interest in vast subjects. Let's talk about how many teachers don't have the personality and people skills/diverse backgrounds to teach different learning styles and cultural backgrounds. How many have failed at the hands of these instructers? 🤔

Self-studying is more focused on studying as opposed to getting grades as you would in a class.

My biggest piece of advice is learning to understand concepts and ideas before learning the process and application.

Don't start with short readings and problems - that's a pit fall a lot of people fall into. Don't be afraid to start with the very basics, and don't be afraid to question. While mathematics is a very technical field, with a lot of rules and techniques, the core fundamentals stay the same throughout.

Question why it is we do things the way that we do, question the stories of the early mathematicians and their ilk, and then apply it in what you already know before starting the newer work.

It's boring, but I guarantee it'll help a lot. Many people can do maths, few people understand it, and even fewer know the reason why we do specific things the way that we do.

Understanding maths like a language is far more important, I've come to learn, than completing something quickly

I love to study mathes but I don't know how??? Give me some advices❤

Thank you! I did engineering for a couple of years but felt voids in my fundamental understanding of math. I'm now reading a precalculus book, taking my time to grasp every concept and the reason behind everything. Really enjoing it. It's so different doing it to satisfy my own curiosity. My ultimate goal is to understand discrete diferential geometry for computational design and not feel I've hit a wall everytime an equation pops up when reading papers on the subject. Thanks for your advise!

Watching your videos motivates me so much! Thank you!

Algebraic Number Theory?
So elementary, my chauffeur can do it!
(LMK if you get the reference)

Dude I want you to be my Hogwarts professor

OK Mathematics are powerful and very helpful. In my opinion Maths is poorly communicated to general people that what's going on. I think it is more helpful if mathematician teaches Maths give more of it application in real life. Than being so abstract and exclusive club. Engineers learned by doing experiments where mathetician just spend 2 hours talk about x and y.

Now we have LLMs such as ChatGPT to help study. You can actually ask it as many questions as you please.

As a mathematician, what is your opinion on chemistry?

🫀I just love mathematics.I feel mathematics in the core of my heart. And I want to be an engineer in future and a mathematician in far future. Love from Bangladesh 🇧🇩🇧🇩

I'm in Calculus online and our instructor does not provide lectures. We have the textbook and the videos that come with the textbook. That's it.

I will implement thanks

With the recent developments in Ai , it can only get easier

When you're at university, you are still self studying (from lecture notes and additional reading material).

University makes it more easier to learn because of the structure, however there's no doubt that anyone can self teach themselves any subject in the world.

Late in life I started to self-study in Mathematics. I discovered more love for Mathematics later in life.

Today Math books are better and more student oriented.

If you lose motivation, pick more subjects! If you study something in the day you don't have to it makes the whole day easier. You can set your own pase for it. This gives you the feeling of control. I think many people give up, because they feel like it gets too much and they are losing control over their time.

Self studying is what I do for every math course at UCF. You can't find a good teacher there, it is like finding a hen with teeth.

Great Video. Love all your videos, both channels.

I recently had this experience where I found a mistake in an algebra book I’m going through and it absolutely destroyed me. I spent so much time frantically trying to determine if I had missed a concept by going through ALL the previous material. Then putting the problem through calculators and apps. Long story short I discovered that the book was wrong and ironically it shot my confidence all to hell. I’ve spent SO many hours trying to teach myself math and this made me feel like I’m just too dumb to get this stuff. When you said “I feel like I should know more” I felt that. This simple problem shouldn’t have frustrated me so much but it did.

I love self study but being pushed and forced to perform at university is what really developed my maths skills.

can also be cheeky when WFH and sneak some math in.

For not burning out: I use two fibonacci sequences:
I do so much until I feel fatigued (1) take rest for the same time (1). I do so much until I fatigue (1), take rest for the same time (1), I do so much that I feel one down, push myself and get to another fatigue (2), I take a brake for the same time (2). learn (3), rest (3), active (5), passive (5).
So as you can see I have the same time of downtime as i have time for learning (two fibonacci sequences alternating, active, passive). The time scales by the fibonacci, 1 1 2 3 5.... On this way I feel a bit more frustration at the beginning because I can't speeeeeeeeed, so I can kit my motivation. After some time I'll have (somewhere around 21) phases where I feel like the learning becomes long, but the same down time keeps me in my rest, yet pushes my motivation. With this method I learned to keep on track for months on end, never burning out.

Learning complex tasks is not a race, it's a marathon. Slow, steady, and bring on the power the further you go.

Make a video on reasons to learn maths

I am desperately trying to study mesure theory, manifolds/topology, abstract linear algebra, and mathematical probability.
They all are very useful but the mesure theory is the hardest one for me. I get stuck

what if you self study in uni 😳

Thanks for the video. I find the advice invaluable

I learn't a lot of mathematics out of self study from textbooks. I even surprise myself to this day of how much i learn't.

To me math itself isn't objectively easy nor hard, it's just math, people learn it at different paces and in different ways, the problem with colleges today is not only it is ridiculously expensive it's heavy bureaucracy and red tape culture is making it unnecessarily complicated and time consuming, mainstream academia should treat students as actual scholars not soldiers, institutions seem to love copying the military and that's what makes students give up and lose motivation knowing that they're gonna spend years of their life into it.

This man has genius hair.

Thanks Daniel. Your videos are so motivational for me.

what worked the most for me(cs, math, sports, games and so on): 1-practice what i learned, 2-try think/re-invent concepts to find them better explained anyways. 3-books. 4-google. 5-videos. classes never worked for me...for anything

I am almost 31, I was reading at a 12th grade level in 3rd and 5th grade but they basically pushed me under the rug in math so I could graduate high school and I have felt stupid ever since. I am someone who picks up almost any instrument you can throw at me almost effortlessly, and I am totally self taught on percussion and I play professionally. People would kill for what I have but that kid in me still feels like a loser. It felt like being told to paint rocks or watch paint dry I just could NOT do it when I was a kid, and I want to be good at it so badly because math never lies. And math is so fundamental to our universe, and I have such a deep respect for it. Don't get me wrong I LOVE what I have, but sometimes I feel like a little kid playing with my toy rocket looking off at the grownups and wishing I could be in NASA lol

Ai makes self learning even more appealing, being able to customize your experience say by generating real world problems based on your interests

If it have not done a video on it, can you do one on having a successful mindset?

I am doing self-study, and I have started from scratch. I hope to get a double major in computer science and mathematics. I am 37 years old.