How to prepare for a PhD Analysis Qualifying Exam

[@lukebielawski2777]

As a high school senior who is planning to go into math (likely to PhD), watching your videos is giving me a good look into what I’m getting myself into. Keep it up!

[@NachoSchips]

Listen my man I'm not doubting that you will succeed in your math career, but prepare for math to humble you right quick. I don't want you to lose interest in math

[@ilyanebraij8495]

I really like the format , it just feels like you are taking us into your life , and it's really great to see someone as excited as me on mathematics

[@Minexorek]

I'm doing a double degree in Electronics and Informatics, but the laboratories are what I absolutely hate. Would much more prefer doing some Math instead. Well... I'll probably do it as a hobby to keep the brain working. The cirriculum ends on Calculus 2 for my undergrad, learning Calculus 3 on my free time has been fun. And I like having stacks of paper on my desk...

[@el_chivo99]

recommendation for when I was studying math: make flash cards for theorems and definitions! I rarely saw math students do this. It's generally something you see language learners or humanities/social science students use for memorizing a long of terms. But it applies equally well for math! For theorems, I'd write a bullet pointed sketch of the proof, as well as page number in the book or my notes for reference. Good luck all !

[@GonzálezGarcía-m6d]

Chido👍

[@St.leoMAGNVS]

Was the calculus all in pen? Based…

[@Halderchess]

where are your scratch works?All I see is neat and clean solutions.Or do you directly know the solution and write it down?

[@ilyanebraij8495]

It's just crazy ur chanel

[@trongtue8384]

How many time you spent on a day to study exactly ? Because those execrise paper is so huge

[@PhDVlog777]

A few hours at least. Right before the test it ramps up to at most 6.

[@trongtue8384]

@@PhDVlog777 wow, you are touch. But can i asked another question about Pure math ( because i'm not study math) is that true that the higher you go in pure math the less calculate it will be, and it will be more about proof, theory and reasoning by words. Calculate i mean here is stuff like: messy calculate, tedious symbolic manipulation, plug and chug number.....hope you answer. Thanks you

[@PhDVlog777]

@@trongtue8384 You are correct, there isn't much computation passed math proofs in pure mathematics. It is largely (if not exclusively) proofs based. Not to say it never comes up, just that the problems we solve uses ideas rather than plug and chug arithmetic.

[@trongtue8384]

@@PhDVlog777 I still have one more thing to asked. That from the video you show me, i see that at the 2:11and after that all the paper is started to full of messy sympolic and some of them have a lot of computational with very less words (if i not wrong) unlike those paper you show us before 2:11 those proof is more beauty and fit to what i describe. So my question is why you still have to do those messy caclculate and your teacher give you those computational homework if proof based in pure math less depend on it ? Does doing those calculate help anything with proof in math ?( sorry for my english because it not my first language) Thank you

[@PhDVlog777]

@@trongtue8384 You're fine. It is difficult for me to answer. The problem in 2:11 is a typical problem that we should be expected to know how to do, unfortunately. It depends a little on how you want to describe "computation-heavy" problems. We are definitely beyond, "find the value of the integral with the given limits of integration," but we still need to use tricks like establishing a convergent geometric sum.

[@hudsonfloyd-evans2814]

What was your undergrad like? I'm in my first year of undergrad and I want to pursue a PhD so I was wondering what you did during your undergrad to prepare.

[@PhDVlog777]

It was very general because I wasn’t sure what to commit to. I started in math, switched to Env science, and then decided to go back to math.

[@Tobi21089]

Do u think a physics major could get a doctor in mathematics too?

[@DXM-]

You could but I don’t see the point in doing that