The Math Major
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- Опубліковано 15 чер 2024
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This video covers the math major including applied math vs pure math, courses you'll take, and careers you can go into. The math major in undergrad involves a lot of the same classes whether you go into applied math or pure math include Calculus, linear algebra, differential equations, proofs, abstract algebra, real analysis, and more. But you will be able to take electives in pure or applied math concepts.
Pure math is about using math to solve problems in math. Then applied math is about using math to solve problems outside of math (such as physics, engineering, finance, chemistry, biology, etc). Many pure math students end up getting their PhD so they can work in academia on research. Overall math students can go into a variety of fields including engineering, software development, teaching, finance, and more.
Applied Math Courses: • What Math Classes Do E...
Part 2: ua-cam.com/video/0louqoytx-8/v-deo.html
I am doing a bachelor in Aeronautics can I then apply for a master in applied maths
Great channel ! I notice that you probably deeply understand these topics or have a general understanding about them. What did you do in college ?
hey can you please cheak out the sylabous of srilankan Advanced level maths sylabous. And make videos out of it for students. There is many students who is looking for online studys these days.
Will I do geometry proofs(triangle congruent 1th theorem of Euclide...) in engineering?
My favorite way of describing the difference between pure and applied math is as follows. Pure math explores the world *of* mathematics, applied math explores the world *with* mathematics.
Good analogy
I like it
Applied math is basically diet physics without the pain and suffering
What’s the proof ?
Dude this is so inspiring. You made my day
I'm starting a math major with a comp science minor this fall. I'm 27 and been out of school forever. Wish me luck boys
I'm a high school junior and i’m interested in going down that path as well. Good luck!
you can do anything
What career options do you have with that combination? I'm also interested in that.
Mathematician, programmer, math teacher, data scientist, actuary, finance, lots of stuff
It does not matter how long you have been out of school. You have also an advantage over the younger kids. You lived and you know that going to bars is not that great.
math is so easy ever since i took insance integration 3050 and mastered the horseshoe mathematics
+sabbel babbel lol I've actually seen that video
Same here, made my PhD in Integration much easier.
LunaticSoul first and foremost, are you familiar with the so-called horseshoe technique for insane integration?
no but seriously, if youre still in school you can improve your math simply by doing more of it. you dont have to be a genius to get the best grades in math. that and maybe by kissing the teachers arse
LunaticSoul™ I’m not sure if it was obvious or not, but our comments were sarcastic. We were referencing a joke video about an alleged PhD student.
So despite my previous comment I’m not actually doing a PhD in Maths. However, I am a Mathematical Physics student so I hope I can offer you _some_ insight.
I’m not sure if you’re an undergraduate student like myself or if you’re still in secondary/high school. If you’re an undergrad then you’ll probably know most of what I’m going to say anyway. I’ll give my advice in a followup comment to keep it separate from this cluttered comment.
LunaticSoul™ This may seem obvious, but to improve you need to practice. Whenever you’re given homework in school you need to do it, to the best of you’re ability.
Persistence is just as important as ability when it comes to Maths. If you ever get stuck, refer to your book, notes, examples taken down from class etc. Any resource you have, use it. There’ll always be an explanation of what you need to do in there somewhere. You just need to be persistent, and grind it out until you figure what you need.
It’s also very important to actually understand what you’re doing. Don’t just memorize how to use a method. Understand (within reason obviously) how and why it works. For example, if you’re doing derivatives in calculus: what does it mean when you take the derivative of f(x)? You’e obtaining a new function, f’(x), that gives the slope of f(x) at any x co-ordinate. But what is a slope? A slope is a measure of the rate of change of a function. The bigger the slope, the bigger the rate of change etc.
Understanding is important. If you’ve understood something, rather than just memorized the steps on how to repeat it, you’re work load drops significantly. You actually have to “learn off” a lot less.
But more importantly, you can recognize _when_ to use that concept that you’ve understood. You can spot connections more clearly when you understand. (I lack the ability to convey this point properly. I might edit it if I can re-phrase it in a more impactful manner. It’s importance cannot be overstated.)
When it comes to understanding, paying attention in class is also vital. It’s so much easier to learn from a teacher than it is trying to figure this stuff out for the first time at home on your own (that’s something I’ve been suffering from recently). _Never_ be afraid to ask a question, despite how ridiculous you think it might seem or how you might think others will react. If you get a better understanding out of it then it’s always worth it. If you happen to be uncomfortable with that though, then ask your teacher your questions at the end of class. You’ll usually get a better explanation then anyway.
Another bit of advice, read ahead in your book/notes if you get the chance. Nothing too heavy now, just enough that future topics aren’t completely alien to you. It makes it a hell of a lot easier to digest a new topic for the first time when you recognize some of it already.
Last main point when revising/practicing for exams. Speed and the ability to function under pressure are almost as important as what you actually know. You could understand every single thing in you text book, but still not hit you’re potential in an exam because you’re taking too long to put it onto paper.
You can beat this by practice obviously. Find out what the recommended time is for a particular question/set of questions, set a timer, and try to complete it in the given time.
I think that’s everything. I really hope it’s of some use and that you didn’t know all of this already. I’ll post a TL;DR next. Best of luck in your studies.
A man walks onto a train and frantically starts yelling, “I’ll differentiate you! I’ll integrate you!” People get scarred and start fleeing the train. The man looks around and sees one man sitting in the corner. “Why are you still here?” He asks. “I’m not scarred of you!” The remaining man replies. He is puzzled and tries to think of why he’s not scarred. And after a short moment of silence and confusion, the remaining man says, “I’m e^x.”
You. I like you.
Old but gold 😂🤣
The first man laughs. "I'm d/dy"
Yui
Theres no person solved that?
Hey guys, so I've already done a math major video on this channel but this video (and part 2) are going to replace that one! Most of the stuff from before is in this video as well but I've added way more on top of it. As I talk to more people in these majors and learn more there's always stuff I want to add to videos that will provide even more important information for you all. Sorry for any repetitiveness but hope it provides even more value. Enjoy!
MajorPrep a Physics one like that, good quality!
As a third year math major, thank you so much for deciding NOT to run through the proof of sqrt2 being irrational. I’ve seen this proof about ten times over the past year, I can recite it from memory.
So how was graduation?
Did you not learn this in high school?
i studied in CBSE and had it in grade 10
@@degenerals6127 ikr like was actually really confused that why this is taught in college, the systems are pretty different
@@degenerals6127 I don't know what CBSE is, but I can guarantee everyone learns it in 10th grade
The Math Major can be summed up in these few words: Ridiculous amount of stress and tears, but worth it..
Log10 Equals true lmao
Undergrad wasn't that bad. If you're referring to grad school, then I fully agree.
Why was it worth it? I'd love to know more
Not!
@@gdtoob why tho, is grad level much rigorous or what
This is what I wanted and boom, here it is
lol same
Nice video, but there's something I want to add for those who would want to do a math major: there is a huge common core between applied and pure maths, and most of the classes you spoke about will be followed by both applied and pure math students. It's really when you become senior or when you do a masters that the distinction becomes clear. TL;DR applied maths students do proofs and pure maths students do calc
applied math students do proofs and pure math students do calculations?
Already graduated last year in Applied Math with an emphasis in PDEs, loved the major despite the somewhat difficulty in landing a job straight out of undergrad. Wish I did a minor in Computer Science or in Statistics but i ended up learning statistics and programming in python on my own.
Have you find a job? What do you do for a living right now? I'm planning to take applied math but I'm not sure what job you can take
I watched this video for the first time 3 years ago, this may I graduate with my applied math degree, it's insane to comeback and see how much of this video I can go into depth now
I’m interested in switching from a computer science major to math major. Is there any advice you have about getting a math degree or making the decision to pursue one?
@@wavez4224 I quit math major, I don't suggest math major but I guess it differs from country to country tho because I am Turkish and in Turkey, science diplomas are not valued. What's worst is you struggle a lot before you can graduate for nothing in return :) I guess computer science can work for your good after graduation more than math diploma so...
Great video! I know a lootttt of math majors who go on to get their masters in engineering in some field, and crush it in their career. math major means "im super smart and can do anything", however, with just a math degree alone, sometimes you get funnelled into teaching or data or research. Math + STEM masters is a pretty wild combo :) Thanks man for another awesome Major Video!!!
Jake Voorhees is stem bachelor's + Masters the same/better than math + stem Masters? I'm in CS.
Heyyy CodedCuber, thanks for the question. What your master's is will moreso dictate your career vs your undergrad. For example, the same is true with Physics / Chem undergrad majors. Many of these people continue onto a masters in chem engineering or electrical / mechanical engineering. They have a pre-requisites, as you will most likely have all the prerequists for something like a master's in electrical engineering or computer engineers with your CS Degree. I have a FB community with the EE who runs Major Prep (an awesome guy by the way) where we discuss all this stuff with 200+ engineers / STEM majors. Let me know if you want in! facebook.com/groups/1percentengineer/
Jake Voorhees Wait, what?? In which country is that? As far as I know in Canada you need to complete an undergraduate degree in engineering specifically before you get accepted into a graduate program in engineering. But I do agree a math degree would be awesome to have in addition to an engineering one!
Yeah I would never do a math major, you can't really do anything with it but get a higher degree in more math oriented STEM fields and I'm not a big fan of school, so I'm one of the best person's I know in math at least at all the schools I attended but I find math too boring to major in and I also couldn't find a career that a math major would be good for so i decided to go with my love rather than my strength: Science.
@Peripo Lol.
Great video! I am a current senior pursuing my BSc in Math and proving the square root of 2 is irrational just came to mind for my first proof class. It was definitely a challenge for me switching from the usual calculus, differential equations, and linear algebra class to a proof course. Perhaps, it was more so just approaching and looking at a particular problem in a different way. Nonetheless, being able to write QED at the end of a proof was such a great "mic-dropping" experience!
Proof:
The proof is trivial.
QED
Great video and summary of courses. Former math major here. I chose pure math but career wise went into applied (finance + technology, or fintech). Learning double integrals and proof by contradiction was fun, but have to admit never found a practical use. Keep up the great videos!
Apart from the usual platitude that it's the relevant critical thinking and not the advanced skills that are used, it entirely depends on where you go. My first 'real' job after school (physics + maths double major) was in a bank. I basically did freshman lab reports, but instead of describing a block sliding down an incline plane or whatnot, it was stats pertaining to this or that model for clients. It (fallaciously) convinced me that "we require candidates with quantitative science/maths diploma" is corpotalk for "we could train high-schoolers to do it, but they lose interest too quickly to bother."
Then, all cocky, I went into modelling for aviation applications and, ho boy, I could barely keep up with the level of maths coworkers casually threw around. It paralleled the same uni workshop that convinced me I didn't want to stay for PhD, and I had to resign because maintaining a serious relationship wasn't congruent with studying PDE for 2-3 hours every day after work.
Then I started working as a software developer, and the last time I used any actual maths was to show (this doesn't warrant the word 'prove') our casework is a vector space if we look at the data from a different angle.
Pure math: When you solve math
Applied math: when math solves you
6:33
"spread of virus in different countries" hit different nowadays 😔
People still didn't pay attention
gonna be hitting different till i go to college
@@ianloree2784 TOO REAL 😭
if only people actually acted like this was a deadly pandemic but alas
In an early differential equation book, it covered the Heavyside transform and then the new edition showed how similar the Laplace transform was. A newer book covered Laplace transform and didn't even mention Heavyside. The 50s was when the changeover occurred.
Keep up the good work man ! I know the video is one year old , but it's really well written . Good job !
I really enjoy about this video. Great description
Nice video as always! Thanks for consistently providing us with quality material!
This is my favorite channel on UA-cam :) are you an engineer?
Jake Voorhees don't you have a channel too
Yeah man, 067 episodes for support to young engineers. Just click my UA-cam name and come check out the channel. Are you an engineer? Cheers!
Jake Voorhees not yet but I'm a nanotechnology major student, and will be a future physics and pure mathematician student too. After those degrees I'm double majoring at Purdue university for mechanical engineering and aerospace engineering
Great Eric, you should join my 1% Engineer FB group facebook.com/groups/1percentengineer/, MajorPrep is in there and he has his own too facebook.com/groups/majorprep/
“So what are you going to major in?”
“Math, I really like it and want to improve”
*so you have chosen death*
@Charizard Rules Would u rather be a janitor in mcdonalds or a data analyst in mcdonalds
@Charizard Rules you said finance and you dont realise you need good maths for that. Stick with your gender studies kid
@Charizard Rules "finance is basic maths" not in data analysis, mr gender studies man.
Nah math is beuatiful. If you want to understand universe, understand math.
@@anhbayar11 NO, mathematicians do not explore universe. They study abstract ideas.
9:11 I have another proof:
You can factor out a two to get 2(9a-3b)=1. An even number times any integer cannot equal an odd, so the two cannot be equal.
shut yo smart ass up
@@chonkyseal6583 Why are you on this video then dumbass?
@@freeshavaacadooo1095 fuck you arsehole
@ki kus I think its a joke
Wow. Sensitive people eh. That is a way but he was just trying to illustrate some different common ways of proving things. In reality theres probably hundreds of ways to prove it.
thanks for your videos! I remember when you had 1000 subscribers. your channel is awesome!
Thank you! Yeah it's crazy to see how much we've grown in the past few months.
This was quite a great summary!
Love your videos. I have a deep fascination with stats and you make almost any higher order math accessible, especially with your videos. Thanks. Curious, what is your level of math?
Math major here - I've always described pure math as "answering questions that have which have not been asked"
Definitely not a English major with that grammar...
@@porygon-z4503lmao
I think the most common proof by contradiction is that there are infinite primes, as follows:
There are finite prime numbers.
Take their product, plus 1.
This is not divisible by any of those numbers (for all primes p, remainder mod p is 1)
Therefore, the assumption is false.
AND MEMES! Don't forget the memes!
That feeling when you find a niche meme only a student of your subject would understand completes my life. Until I graduate and the paycheck starts to come in, memes will get me by.
Thanks for the video
Great pep talk! 😊
I love your videos man you put a lot of effort into it! Keep it up!
Thanks Leo!
Great videos, math is exciting.
I learned a lot from this vid man !
So basically you're entering hell and taking hell course I, hell course II, hell course III and so on.
Pretty much 😹
You forgot purgatory I and II which are compulsory if you want to pursue the applied damnation subfield rather than pure hell.
It is only hell in 3 cases:
A) You lack basic math knowledge
B) You lack intelligence
C) Your teacher lacks intelligence
^ r/iamverysmart
Math is how you know that heaven and hell exists as only Satan would come up with a subject/class to be abusive and torturing to humans.
Just so you know, 5th degree polynomials do have an "exact" solution, just not one using roots of lower degree polynomials. The solutions are expressed using elliptic functions. This is not the case with higher degree polynomials tho.
I really like this channel he explains it all great
Thank you for the video.
Brilliant informative video sir👍
Great video!
Numerology and numerical analysis.
I quickly learned that a mechanical
approach to problem solving,
left me, as well as my grades,
wanting, for sure.
Thinking ' out side the box ' will make proof solving a lot more fun.
Super vid. Become a teacher dude
- I remember my landlord and I
talking in the kitchen one day.
I said to him that I love math, but
I suck at it. He said to me that,
If you love math, you Don't suck at it. He is a math instructor at the
university of Cal.
I guess I get pissed, when I don't.get the results I am looking
for. I feel like a failure. Dumb
I guess.
Weird maybe, but math gets me
excited. Thanks for the look ahead for anyone thinking of life
beyond the head-banging of what
we can expect with either choosing pure or applied math. 😉
Your videos are good as always
Please do a video on online computer science courses like AI, programming languages etc and how good their
I’m only in high school but I really want to major in both physics and applied mathematics
Avinash Reji I know someone who’s double majoring in Math and Physics. I highly recommend taking AP Physics and Calculus in high school.
Lots of my peers in my undergrad were math/physics double majors. They loved it (but it was brutal, they say). According to them, the math major curriculum will expose to you just how much physicists butcher mathematics at times lol.
As long as you don't care about not having a social life then sure
I don’t! I guess I’m ready for it!
@@fuccckckkkkckkck lol, sure dude
In Jr College, the Math department emphasized actuary jobs on the bulletin boards.
idk why I'm watching this when I already graduated in CS
I'm studying cs, so also no ideia why I'm watching this
There is a separate applied mathematic degree as well. Can you go over that major?
I wish you were my math teacher for the past 12 years... this is the first time in my life I really enjoy a math content
Omg i love this video so much, because i wanted to become a math major but went to geology to work for a company
Oh MajorPrep, our relationship is maturing much better than all my previous romances.
;)
I plan to be a pure math major starting in 2020. I'm excited
Good luck
me tooo
@@pumpernickelstickybottoms5081 what do they cover? The only proofs I've come across are induction, contradiction. When does it start to get hard. I really want to do Maths and I'll start in 2020.
How is it going?
⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻⸻
Direct proof
Contrapositive proof
I want to double major in Mathematics and Biology
I want to double major in mathematics and Astrophysics
That is what life boils down to: math and biology. Good choices, Joniel.
I wish there was triple major
Or life was generous and gave us 10 years more of youth and purity(in mind at least).
@@appleslover agreed!! Or wish we could lean something all of our lives
I want to double major in Pure Math and Applied Math. It's useless?
Zach is like the "which major should I choose" superhero.
can you do either the economics or actuarial science major please ?
Yes.
The odd number problem is in inequality and theory of equation
Math is beautiful. I was gonna do marine engineering but the college was to expensive so fuck it. I'll do computer science instead
Mind giving an update as to how it’s going?
Yeah computer science is probably way more interesting
Please make a video about Technical Drawing as a subject and all its uses
I always thought I was patient when it came to studying. Discrete Math proved me wrong.
The examples given for pure mathematics seem very trivial and easy to understand. When I studied the subject 50 years ago, I got totally lost in Elementary Real Analysis. Looking at the subject today, it seems fatally flawed in the way numbers are introduced.
for a second, you made the proofs course seems easy because you used some I did in my first year of high school...but i know for sure it's harder haha
+baldiesarelife haha it's hard to show the difficulty of these classes cause I'm assuming many people watching don't really have a proofs background. But did what I could to show examples and still say they don't do justice for the classes.
Thank you
Say we had a square perfectly inscribed inside a circle and we could rotate this square at planck length degrees e.g. assuming the edges of the square were also at planck length. After 1 full rotation How many digits of PI could we extract from this?
That sounds fun
I'm a math major with a minor in physics, hoping to go to grad school for astrophysics.
It's over Anakin, I have the high ground. You should really major in physics if you want to pursue Astrophysics
Tripp Roberts I was on the fence about it, but at my school the difference between a physics major and a physics minor is like 2-3 classes. I would rather have a stronger math background then physics background going into grad school because I want my area of expertise to lie more into theoretical astrophysics, which is very math heavy.
Good luck
Matthew Zárate In my 4th year, got 2 more years to go. Almost there!
I feel your pain Anakin, 6 years for a undergrad major + minor is rough.
I was in my final year for a major in Physics with application in Nanotechnology (wordy, I know) but decided to pick up discrete maths + stats units, and now I have a year left to finish with a double major in the aforementioned Physics + Mathematics & Statistics.
Good luck with astrophysics, I commend your bravery: I'm tossing up between that dream and aiming for a more profitable (that is, in dollars, not knowledge) career using applied maths/sciences in private industry. Choices are tough when you don't know till you try and a lifespan is only so long.
Math and computer science is pretty solid
Very useful
Prime numbers aka Golden ratio are used in architecture since anchient egypt
Which math major will go well with a CS degree. If anyone is doing this, which math major are you going for specifically?
U should do a “statistics major”.
Can anyone tell me about best foreign universties in applied mathematics for graduation, offers scholarship... Please guide me...
Gosh, I just love math so much
I am currently limited by my environment and the school I go to, but I am so excited to have opportunities in the world of mathematics that i just want to learn it alI
Yeah math is awesome honestly, been in uni for 6 weeks now and the biggest struggle is explaining people how math is applied lmao, I honestly don't care how it's applied yet, I just like the math.
Me too I'm going to uni next year.
Watching this after my B.S. in Mathematics 😎
Hopefully getting a job soon as well.
Bullshit or BSc?
Anyone has some advice or thoughts on whether to study applied math or mechanical engineering ?
7:20 for pure math
Just a piece of information...the formula u just showed for quadratic equation (-b+-√b²-4ac)÷2a is called Shridhar Acharya formula
6:25 Oh shit 😬😬how we need dis ting now
For AI research which degree would be better Applied maths or Computer science
Hey man I'm currently doing electrical engineering and will have my masters in 2 years. I want to get another degree either in mathematics or physics which would you reccomend? I can do both since they can be combined but you will learn less as opposed to if you did them full.
Hello! Which one did you choose?
@@derekndosi I did applied mathematics in my placement year as it made more sense from an engineering standpoint
@@Psalm_23do you think you did the right choice? I'm in a very similar situation and would like to know how it went if you don't mind.
Math has never been my strong suit (hence why I moved from CS upon realizing I would have 3 years of math classes), but this is really interesting! I know a few math majors- mostly CS/math double majors, also a guy double majoring in math and finance with a CS minor. The CS-math students all seem to find the math part hellish. XD
whats your major now?
@@Naijiri. English
Have your minor as computer science so that you can design computer systems that will solve these problems for you.
Please discuss the statistics major!
With extensive use of tight sigma levels & confidence intervals, sexy symmetric histograms and box-plots, and normally approximated sample distributions.
Data science?
If you’re into stats. look into majoring in actuarial science to become an actuary - that’s where the real money is!
@@flanagamer No it isn't....lmao. The money is in Finance. Like Investment Banking, Trading, Private Equity, Analysts and Traders at Banks, Hedge Funds and Trading Firms.
idktriple6 yeah but certified actuaries can make upwards of $150k/year in some places! That’s pretty good money, & a lot easier than becoming an investment banker unless you go to an Ivy League school
This video solidified my belief that I don't like abstract "useless-to-me-at-this-time" math and want to just take engineering cuz I want to use them fancy simulation and modelling software, also applied math sounds fun, but certainly not as fun as electrical engineering. Great video btw.
Proofs class is so important
Howdy!!
I am a Mathematics Education major! I absolutely love Mathematics!! I’ve taken a lot of Applied and Pure Math classes and I like Applied Math a lot more.
Hey I am a Highschool student and I wanted to have applied Mathematics major will you please guide me?
@@phenomenalphysics3548 I too would like a guide! Have you any advice that you've researched? thanks
Many people are saying if I study in physics then I will find more difficult and harder maths
“Math is the queen of all sciences.”
@Pete Pike no.
Yamete
Physics is the king
going to math major rn. i love math sm but im bad at it
is it possible for me to study both Mathematics and computer engineering? I have interest in both fields and I have been trying to pick one but I would really like to do both if it is possible.
Statistics major prep
6:27 be hittin in 2020
comedy and school. all in need in high school
Is it a bad idea(and why) to go for a math bachelors and then for a physics bachelors? I cant take a double major right now
Proofs seem Fun
So if I get a degree of applied mathematics, I can study in any engineering field such as mechanical engineering?
I have done masters in Mathematics major, in what field I should do phd.. how many I have options.. or engineering and finance phd is also possible for me...?
I want to double major in applied mathematics and architectural engineering
Math is easy. You simply need to know the basics because they become advanced as you level up.
That's not helping at all ;-;
Physics is easy. You simply need to know the basics because they become advanced as you level up.
Antonio my dad says that all time and it’s really true.
XBOX USERNAME Tuskediowa90238 it does. Trust me. If you’re in high school, the math is just basic. College gets more advanced and it’s worst if you don’t know the basics.
My point was its a very general statement that applies to many things.
X is easy. You simply need to know the basics because they become advanced as you level up. Replace X with any skill or subject that you find appropriate and it'll hold true.
2:40 is a direct despicable me reference
I love my undergrad math degree. It did a lot for me spiritually. But it did very little for me economically. All it did was get my foot into the door for an accounting job, and I still ended up having to go back to school to take accounting classes anyway. The search for truth is very expensive, and it's tough to balance it with the requirements for survival. So if you can stand it, I'd recommend going the engineering or computer science route rather than the pure math route. You're better off studying pure math on your own by going to your college's library and saving yourself some money.
You could of done a BCom with a math major though back when you were an undergrad.
The math major: A masochist
What if I taking both pure math and applied math?