Become good at Math in 9 mins: How to self-study Math easily

imagine majoring in math at an imate College you will tackle hundreds of proofs thousands of theorems and navigate through math Fields like calculus differential equations topology mod analysis and abstract algebra solving countless challenging problems along the way that's me hi my name is H I went to Columbia University and I studied math and operations research most of my math is actually self-taught for three reasons first because of the nature of math if I lose my attention for one second I have no idea what the lecture is talking about anymore two I am guilty of occasionally skipping the lecture and three I have had many math professors who are just too genius to teach therefore I would say that math self-studying is the most important skill I learned after roughly 7,500 hours of studying math so in this video I'm going to show you my step- by-step process on how to self-study math and it should be fulfilling challenging and fun so my math learning framework is consisted with four parts definitions examples knowledge Gap in exercises all we need is a book some paper and a pen I have my textbook on my iPad so if you use an iPad that's great as well choose a book that come with practice questions with answer keys and the thorough the explanations of the answer key the better in this video I will use the chapter on linear equations in the book of differential equation as example let's get into [Music] it so the first part is to understand what is this math topic about what is the definition or it can be a rule or theorem these are the things that mathematicians discovered or proved a long time ago you probably need to understand or memorize them just open your book read it and try to understand as much as possible so for example in this chapter we can just start reading and see the definition of what is a linear equation and we can highlight it and just keep reading more if you're confused when you read about the definitions it's totally okay and don't get intimidated by them lots of time it's more important to know how to use them than what they actually are this brings us to the second part examples right after the definitions there are usually a couple of examples to show you how to use the definitions an analogy I came up with is that a definition a theem or rule is like a tool just like you learn about cups you not only learn about what the cup is and how it looks or who invented it more importantly you learn about the different ways to use it with examples like I can use it to drink like this and I can use it to water plants like this so read the examples for that definition work through them and try to understand as much as possible for example one we learn a way to solve a linear equation and it has a sorrow solution for it so I'm going to read through it and learn how each step Works after we understand how to solve the linear equation in this example one we can go to the exercise session and I can immediately see question two is is very similar to example one but just change the number a little so I'm going to do question two to see if I actually understood the example you can look at the example of how it's done and copy each step if you want after you work through each examples you should be able to found a similar question in the exercise session do that exercise try to get some handsome experience to make sure you understand the example just as with watching someone drink water with a cup you should try to drinking water with it yourself to make sure it actually know how to do it Part three is not something I do every time which is filling knowledge gaps so when you read the definitions or work through the examples if you don't understand something you can look it up for example if I don't remember what the integrating factor is when I'm reading this example one I would just Google what's the integrating factor is or if I didn't understand how this step become this I would just search why the inter integral of -3 DX = to -3x and it will show me an answer so I can move on and try to read the next step when you search be as specific as possible what I found is there are lots of information on that and it can be overwhelming if you have a very specific thing to look at it's usually very helpful notice that I will only do this so I can understand the definitions or the examples I will not go too deep to start and learn that thing we just searched instead and I'm just trying to avoid going online as much as possible if I can understand the definitions or examples without knowing a specific thing because it's going to be super distracting with the electronic devices for example here if I don't remember what exactly a separation of variables is but it doesn't really affect me to understand the following Solutions because it's going to show me how to use it so I'm not going to stop and look it up you can totally Mark the thing that you don't understand somewhere and in the future find a dedicated studying session to learn about that topic we want to stay as focused as possible in this study session and the topic we're learning right now but if we have to we got to do it and there are lots of learning resources online but it can be challenging to find Reliable and quality learning resources so I am so excited to share with you the sponsor of this video sko Shure I took Ali abdel's Final Cut Pro editing course on skure about 2 years ago and I'm still using that skill today to edit all my videos on this YouTube channel so if you're like me a bit of a nerd who just loves to learn new things and invest in self-growth I highly recommend sko share sko share is this wonderful learning platform where you can learn pretty much anything creative it has thousands of classes in film illustration design painting you name it it also offers courses in computer science programming and math if you're a Stam girly like me if you're a student and want to study more effectively for your exams I highly recommend checking out and Jen J's class on studying and Ellie abell's learning path on productivity learning paths are such a cool way to learn because they guide you with multiple classes on the same topic so you can advance from complete beginner to probe first the 500 people to use my link in the description will receive a one month free trial of skillshare go take the classes you want for free and thank you sko share for sponsoring this video now I'll go back after you understand and work through all the examples it's time to do some practice questions or exercises I would recommend doing somewhere between 10 to 20 questions for each topic remember earlier I said you can look at the examples when you work on the exercise question that's similar to the example this time try to do everything on your own independently some of the questions are similar to the example and some of them probably are not or they're even harder it's completely okay the most important thing I would say is to check the answer keys after you work on the question it doesn't matter if you got an answer or if it's too hard so you're stuck or you don't know how to do it but as long as you give it a good thought and make an effort to work on the question make sure you check the answer and try to understand how it got every step right try to learn from the answer keys and see where are the things you're missing otherwise your effort really just goes to waste and you don't understand anything without knowing the correct way to do it and practicing questions and learning the correct answers should take the majority of your time in the studying session because math is really about exercising your brain and actually applying all the definitions or theorems to solve problems I would say for one hour studying session I would spend 30 minutes working on practice questions 20 minutes on learning and working through the examples and 10 minutes learning about the definitions for filling the knowledge Gap sometimes if you have more things you don't understand or you need to look it up it's completely okay just to make sure you are not not just reading and passively learning make sure to practice a bunch I want to talk a little bit more about memorization at the end so by practicing a lot of questions you should probably be able to memorize the definitions or the theorem because you use them in each question and that repetition is going to be very helpful but if you have a lot to memorize I recommend to write all those formulas or theorems that you need to remember on the formula sheet or a t- sheet and just use that sheet while you're practicing and have a dedicated time to try to write them on paper on your own without looking them up thank you so much for watching I hope this video is helpful if you tried this self-studying method leave a comment and tell me how it goes I read all my comments and hope you had a wonderful day like And subscribe I will see you next time [Music] bye-bye [Music]

Channel: Han Zhango

Views: 168,704

Keywords: study tips, how to study for exams, study tips for maths

Id: Okw1Nqj8tDA

Length: 9min 16sec (556 seconds)

Published: Tue Feb 27 2024