The Math Major

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.

[coena]

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.

[elijahhibbard]

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

[maxsimes]

math is so easy ever since i took insance integration 3050 and mastered the horseshoe mathematics

[jmshkm]

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.”

[christianrodriguez]

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.

[zachstar]

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!

[p-aluneau]

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

[logequals]

The Math Major can be summed up in these few words: Ridiculous amount of stress and tears, but worth it..

[JakeVoorhees]

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!!!

[ultrareviewer]

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

[simranthiara]

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.

[baconpenguin]

This is what I wanted and boom, here it is

[ronnies.]

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!

[stroppy]

“So what are you going to major in?”

“Math, I really like it and want to improve”

*so you have chosen death*

[NickKravitz]

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!

[Amisanist]

6:33
"spread of virus in different countries" hit different nowadays 😔

[rparl]

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.

[nikospagonas]

Nice video as always! Thanks for consistently providing us with quality material!

[hasiumcreeper]

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.

[whendywhilliams]

Pure math: When you solve math
Applied math: when math solves you