How much Mathematics do I need for Mathematics Graduate School?

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How much Mathematics do I need for Mathematics Graduate School?
In this video I go over how much math you should know for mathematics graduate school.
The book I mention in the video is called "All the Mathematics you Missed but Need to Know for Graduate School" written by Thomas A. Garrity.
You can find it on amazon here: amzn.to/2O6ZCQD
(note this is my affiliate link, I earn a small percentage if you use this link to purchase the book)
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Please leave any comments or questions in the comment section below. Thank you:)

Опубликовано:

6 сен 2024

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Комментарии : 71

@valor36az 4 года назад

I wish I did mathematics, I enjoy it so much now that I understand it.

@TheMathSorcerer 4 года назад

Awesome!

@declanfarber Год назад

Mathematical research is so specialized these days. It helps to get deeply involved in a research topic at the level of your senior thesis as an undergraduate, and use that as your “road map” for continuing on at the graduate level. A good thesis adviser really helps, and can steer you towards what to expect, beyond the usual topics as described.

@darvidtorres 3 года назад

Student: So, how much math do I need? Graduate program: Yes.

@redwolfeducational1957 3 года назад

Calculus, Advanced Calc, Linear Algebra, Differential Equations, Number Theory, Abstract Algebra, Topology, Analysis.

@douglasstrother6584 4 месяца назад

I did Physics. The workload is maybe 30% above that as an Undergrad. 20% if you're smarter than me! Take a crack at the Math GRE cold; don't study for the first attempt. This will give you a baseline on your recallection. Get a practice book to help with time-management when taking the exam, and review topics that are stale. If you do well, then you're in good shape to dive into Graduate School.

@luislopez-tx4tl Год назад

I think something thats important but always goes unsaid is, to slowly begin relating your courses to one another. At least for me, in Stochastic Process's, I have now (a little late into the semester lol) begun reminding myself, of topics from Real Analysis, Set Theory, or Linear Algebra to make sense of whats going on.

@pleasethecreator795 3 года назад

it is hard lol I appreciate you honesty I graduated lately I want to do phD but I am too scared to do it

@ayoubsbai6339 3 года назад

I love you man! Know why? Because you are making me so excited to engage in mathematics which I was always afraid of~

@Entropize1 4 года назад

This is a good question, and one I get from students and have a hard time answering sometimes. Take as much of the following as possible, and, ideally all of it (I took all but one, but took things not on this list as well): beyond the basic Calculus sequence, I'd say a semester of abstract Linear Algebra (meaning conceptual and not calculative), a semester of point-set Topology, 2 semesters of Algebra that cover through very basic Galois Theory, 1 or 2 semesters of Real Analysis, a semester of Calculus on real manifolds including the Inverse Function Theorem, Implicit Function Theorem, Stokes' Theorem, etc), and basic Complex Variables. Also, for the love of all that is good, take a class in basic classical Number Theory.

@TheMathSorcerer 4 года назад

Very nice, thank you for this!!!

@douglasstrother6584 4 месяца назад

These are the bread & butter topics covered in the Math GRE exam.

@defunct1373 3 года назад

Every time I get a math/physics book with crazy stuff that I just don't know about (like what you mentioned in the video), I'm always like "I need to learn this $h!t."

@TheMathSorcerer 3 года назад

Yeah!!

@EKholde 4 года назад

I'm finishing Modern Algebra this semester. I'm excited about Modern Geometry next semester!

@TheMathSorcerer 4 года назад

very nice! I never took that actually, modern geometry.

@EKholde 4 года назад

@@TheMathSorcerer I haven't had the opportunity to look through the textbook we'll be using, but I'm excited to view and think about geometry in an abstract way. My math department is small, and this is one of those courses done every four years haha

@rubymerlinpinto2841 4 года назад

Hard, A biggg yesss! Fun nevertheless! Thanks for the info!

@TheMathSorcerer 4 года назад

yeah fun:)

@schrodingcheshirecat 2 года назад

true story: some buddies of my brother-in-law asked him to grab a beer out of the cooler. He reached over in the trusty old igloo to do just that when a rattle-snake bit him. they'd put the snake in there to scare him, but actually ended up sending him to the ER. no way to have appreciated that pain and surprise without experiencing it first-hand. Is that a close comparison?

@tsshamoo2376 4 года назад

Thoughts on taking grad classes while still in undergrad? I was hoping to take analysis 1 and 2 next fall and spring after finishing advanced calc 2 this coming spring, but in your opinion, is it really worth it to do it? Or should I just wait to take them until (hopefully) I get in to grad school?

@TheMathSorcerer 4 года назад

Definitely take them if you can!! If something happens and you can't no big deal but it will help you tremendously if you do take them.

@stereotypejew507 2 года назад

You're all set, believe me. Many don't even get to study their favourite subject... 😭

@Idtelos 3 года назад

Prelim and qulification exams...brings back bad memories...

@darn0220 4 года назад

Hello Mr. Sorcerer,! I am about to finish my undergraduate degrees in Mechanical E and Math. My Uni does not offer topology or complex vars. Instead they are offering Number theory and Combinatorics which i do plan on taking with abstract algebra and advanced calculus 2. I was wondering if this would be a problem for graduate schools do you think they would care? any help is appreciated!

@TheMathSorcerer 4 года назад

No I don't think so👍 Just try to do well in those courses.

@darn0220 4 года назад

The Math Sorcerer thank you!

@tarmizi2005 4 года назад

Hi, good advice. Do you have any videos suggesting on how to read graduate level text math books. Or can you make one ? . My background is pretty much EE, and I really became very interested in the beauty of math during my graduate school (EE). I did some research on using convex optimization applied to signal and image processing. Coming from an EE background, it was very tough for me to read papers and books related to convex analysis and optimization, especially proving the theorems. However, I pretty much learned what I needed for my research purpose and survived the graduate program. But I'm curios to know how do mathematicians read a graduate level text/paper. For example, do you read the whole book ? complete all the exercises ? or you use the book just for reference and look it up only when you need to understand certain topics ? Is ti always with pencil and paper when reading ? these are the sort of things I would really like to know.

@TheMathSorcerer 4 года назад

Well papers are really hard to read, you are constantly backtracking and looking up things you are not familiar with or don't understand. As for books it depends what you are reading it for. I tend to read for leisure now so I sit down sometimes with a paper and sometimes without. When I read for a class I always had a pencil/paper and read very slowly, trying hard to understand everything. It's not always possible to understand everything so you just move on, and keep going. Eventually things you don't understand will make sense. But yes, paper/pencil and read slowly. It takes a lot of effort!! That's awesome that you survived the grad program, congrats:)

@TheMathSorcerer 4 года назад

and just for emphasis, it takes a lot of effort even for those with math backgrounds:) Obviously the better your background the easier it is to read. I can see why it would be difficult with an EE background. I remember reading certain texts and not understanding them, then years later trying again and thinking, "wow what a great book!":)

@tarmizi2005 4 года назад

@@TheMathSorcerer Thank you for sharing your experience and tips. Actually, I did not know up until now, that someone would read math books for leisure ! wow !

@RafaelToscano 2 года назад

I am considering to start in 1 or 2 years the grad school in mathematics. But the problem is: 1 - I graduated in Computer science (Bsc.) 10 YEARS AGO; 2 - I work as software engineer, but don’t use mathematics very often. Do you think if I study everyday, revisiting calculus, linear algebra, etc., would I be able to at least try, or am I “too old”… let me rephrase: am I too late to try? Because usually people who starts graduate studies go fresh from university, and as I said, I’ve finished my Bsc 10 years ago…

@meditationandhealthyliving9602 Год назад

I'm in a similar position. I've applied and am starting my journey.

@sara-tj2tw Год назад

do it.

@douglasstrother6584 4 месяца назад

Take a crack at the Math GRE cold; don't study for the first attempt. This will give you a baseline on your recollection. Get a practice book to help with time-management when taking the exam, and review topics that are stale. If you do well, then you're in good shape to dive into Graduate School.

@prateek0536 4 года назад

I am going to take ,physics major,any suggestion for me MR SORCERER....

@TheMathSorcerer 4 года назад

learn as much physics as possible, for sure!!!! good luck man:)

@waynelau3256 Год назад

Would you say the learning curve for grad school math from undergrad is similar to undergrad math from precollege math?

@TheMathSorcerer Год назад

No, it's much higher. It takes a lot more time/effort. You can't really compare it to any previous math experiences.

@waynelau3256 Год назад

@@TheMathSorcerer Ah I see! Thank you!

@matthiasandersen3329 3 года назад

Wow. Do you have measure theory and introductory topology as graduate classes in the US? We have it as undergraduate classes although courses like algebraic topology is graduate class where I come from. Nice channel.

@ricardomejias156 4 года назад

Please, can you recommend some books on differential equations and linear algebra for self - study?? I am in the situation you speak that.

@TheMathSorcerer 4 года назад

For linear algebra try the book by Anton and also Friedberg's book. For DE try saff and Snider, or zills book. Also check out my DE lectures

@ricardomejias156 4 года назад

@@TheMathSorcerer thank you!! Another question: It's fine to try with real analysis (with Pugh's book) without Advanced calculus, only having "basic" calculus (differential and integral in one and several variables)? It's rare for me you don't mentionated analysis

@liviu445 2 года назад

I'm going to do a math level 3 course while in uni, wish me luck.

@davidsoto4394 4 года назад

Is it possible to teach yourself basic mathematics like algebra, trigonometry, geometry, calculus, differential equations, physics, probability, and engineering mathematics?

@TheMathSorcerer 4 года назад

Yea of course!! It's not easy but definitely possible.

@defunct1373 3 года назад

I was able to do it, so of course :P

@TheMathSorcerer 3 года назад

👍

@ivoriankoua3916 3 года назад

I know he mention a lot of reading book to really get familiar with this topics , I would add to definetely check Khan Academy and Prof Leonard for this low level mathemathics , they cover it nicely in such a way you develop a love for the subject: TRigo + Geo ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Jsiy4TxgIME.html ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-WqzK3UAXaHs.html Algebra ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-xyAuNHPsq-g.html Calculus ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-fYyARMqiaag.html&ab_channel=ProfessorLeonard ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-H9eCT6f_Ftw.html&ab_channel=ProfessorLeonard ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-tGVnBAHLApA.html&ab_channel=ProfessorLeonard Linear Algebra ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-fNk_zzaMoSs.html ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-7UJ4CFRGd-U.html Probability & Stat ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-uzkc-qNVoOk.html&ab_channel=KhanAcademy ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3v9w79NhsfI.html&ab_channel=KhanAcademy ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-1WONKtD2-Yw.html&ab_channel=AStatisticalPath ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-TC0ZAX3DA88.html Ordinary Differential Equation ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-xf-3ATzFyKA.html&ab_channel=ProfessorLeonard Non Linear Differential Equation ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-nVI5rNHE-Yg.html&ab_channel=BobTrenwith Partial Differential Equation ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE--j6Em60JbyU.html&ab_channel=MathTheBeautiful Once you're done exploring this subject with the video for sure you can check a textbook for a more rigorous learning. For advanced subject like Real Analysis , Algebraic Topology....you are definitely recommand to use a book and you can certainly find some online MOOC here.

@davidsoto4394 Год назад

Is what you said in the video the same if it is graduate school in Applied Math?

@davidsoto4394 4 года назад

What areas of mathematics should I study if I want to get to a level equivalent to an undergraduate student in applied mathematics or engineering. What branches of math do I need in order to solve engineering physics problems? Did you do a review on the book you showed in the video?

@calebuic4310 3 года назад

Calculus mainly.

@APresidentsRansom 4 года назад

Hey man, Thank you for replying to an earlier comment of mine on another video - however, this video poses another concern I've had considering grad school in math. Since I am an Aero + Math major, will the following courses in math "prepare" me enough for the skills and knowledge I need in grad school? Courses: Linear Algebra I, Abstract Algebra I, Advanced Calculus I, Introduction to Partial Differential Equations, Mathematical Probability and Statistics, and General Relativity and Tensor Calculus. I ask because most math majors I know entering grad school take the second level (II) courses of Advanced Calculus and Abstract Algebra followed by a 2 semester sequence of Real Analysis (I & II). However, I am a BA in Math (not a BS) so I don't take those higher level courses. Will not having any exposure to those higher levels and real analysis really hinder my chances of success in grad school? How about admissions? I would love to pursue grad school in math if the choice came down to it (instead of engineering), but I feel like my education is slightly short of being remotely prepared. Thanks again.

@TheMathSorcerer 4 года назад

A course on topology will help. You will definitely get in somewhere and maybe even somewhere good. There are tons of grad schools out there!!

@TheMathSorcerer 4 года назад

And yeah it could be better with taking the extra courses like you said , but what you have is enough to get in to grad school, for sure. Just apply to tons of schools👍

@jrodriguez3647 3 года назад

This answers my question in the other video. 😂

@amadujagitay2077 3 года назад

Hi thanks a lot but how can someone get this books do you have a link for this books or apps

@patriciacossio9189 3 года назад

If i have a 3.0 point average from a mexican school is it possible to get accepted to a good graduate school? thank you

@j_tji 3 года назад

Can engineers (civil ) go for math grad school ???do they accept especially for international student .

@ahmadjaved4263 3 года назад

Hi do is it necessary to have a bachelor in maths to apply for a masters in maths or there are other options too?

@intoscience4607 2 года назад

Is it also good to prepare for Computer Science PHD?

@VidaBlue317 Год назад

How much mathematics do I need for mathematics?

@Happyduderawr 3 года назад

in my country a undergraduate degree is 3 years, so when you say grad school is that 4th year or 5th year+?

@TheMathSorcerer 3 года назад

Yeah that would be correct. In the US it's 4 years for undergrad, then grad school is after that. That's pretty cool that it's 3 years.

@calhenry2006 3 года назад

@@TheMathSorcerer I have a question for you my friend....I had a bachelor in electronics engineering 2015, the highest math required for that program was calculus 2....I would like to go for a master in mathematics , do you think they will ask me to take cal 3 and 4 before I joined that program ?

@TheMathSorcerer 3 года назад

Yup probably ! And maybe even some more math classes, but that's ok, you will learn and it will help you!

@calhenry2006 3 года назад

@@TheMathSorcerer I don't understand, the answer is for that calculus 2 is ok, or I have to take cal 3 and 4 first ?

@TheMathSorcerer 3 года назад

Yes they will probably ask you to take those classes and maybe even more classes, depends on the school.