What Math Classes Do Physics Majors Take?

I'm sure I've mentioned these courses individually in separate videos, but I thought it could be helpful to lay out exactly what math classes I had to take to satisfy my physics major and math minor all in one video.

[@theflaggeddragon9472]

For physics, engineering, math majors, and other sciences, 3blue1brown is a life saver

[@jordangraupmann9031]

The Flagged Dragon sorry, I’m a puny high school senior, going into mathematical physics. Is that a website? I MUST KNOW lol

[@theflaggeddragon9472]

KZbin channel

[@jordangraupmann9031]

The Flagged Dragon thanks

[@johnnybatafljeska6368]

For linearAlgebra --- MathTheBeautifull

[@hilariousharry1890]

@@jordangraupmann9031 dude for calculus all hail Professor Leonard! he is the best also go watch MIT's 18.01 and others!

[@captainsnake8515]

“It’s much easier to draw a triangle than to draw what the triangle stands for” I died

[@theoreticalphysics3644]

The triangle is just the cue to get your Griffiths book and see what it stands for. Hopefully it's not spherical!

[@user-en5vj6vr2u]

Same, dude had to use spherical coordinates

[@danidino1645]

Same hahahahaha

[@TheWassBoss]

"We live in exactly more than one dimension" -Andrew Dotson

[@danielmcbride9183]

That was a brilliant statement!

[@1mol831]

I'm learning multivariable calculus in middle school

[@1mol831]

Also learning Eugen vector in high school

[@frozenkingfrozenking6989]

But u cant write them

[@davidtriplett9429]

I'm stupid but does the axiomatic logical Truth for more than one dimension hold up and how would I check it I always thought that Dimension is relative and we have not defined a true observed Vector gradient identity standard again I'm stupid and the only class I have ever taken was gd&t for print reading

[@Eyes_On_America]

Physicist: takes calculus course Also physicist: dy/dx = 1/ (dx/dy)

[@user-zz9kl6kd7m]

that's actually true assuming y is an invertible function

[@steelwarrior105]

Linear diff eq to the rescue

[@asifzia4829]

Nice one😂

[@SquattingErudite]

look up "non-standard analysis" and hyperreal numbers if you want to stick it up to mathematicians when they start whining :P

[@mathlover2299]

You can prove it relatively easily.

[@NightHawk588]

Linear Algebra, Calc 1, Calc 2, Probability and Statistics, Multivariable Calc, Vector Calc, Matrices and Transformations, Differential Equations, Complex Variable and Mathematical methods 1 and 2. Those are the required math classes at my university.

[@bennytolkienfreund7182]

For me in Germany its like this: Essentials of Mathematics, Calc 1, Calc 2, Linear Algabra 1, Linear Algebra 2, Algebra, Numerical Analysis, Complex Analysis and Vector Calculus, Measure- and Integration-Theory and many elective subjects.

[@ethanclark4116]

I'm guessing your on the quarter system and that's why they split your calc classes?

[@gijsjespers4868]

at our university we just have calc 1 and calc 2 and those include all 4 off those calc classes

[@Master2594212]

Eres del IFUG? Si es así, abrázame hermano!

[@barutaji]

@@bennytolkienfreund7182 it seems like in Germany you guys take a way more rigorous approach. If you even have to bother about measure theory...

[@RickyC0626]

I don't even know what I'm doing here, I'm a computer science major. Still glad I watched the video though.

[@notsojharedtroll23]

@Saudi King Volintine Ander of Arabia xdddd

[@notsojharedtroll23]

@Mdmchannel for CS?

[@rushnande3731]

I'm double majoring in applied Maths and CS, taking Mechanics1 was compulsory for me and in third level I'll be mandated to take mathematical theory of relativity, so qualify to be here😊

[@michaeldavis7885]

Im suprised linear algebra isnt mandatory

[@AndrewDotsonvideos]

Same:/ But to be fair, my university requires a "300-level elective", which I chose to be linear algebra. But I could have taken like, statistics or something.

[@pranav3848]

Linear algebra is a required class for physics majors where I go to

[@helms6561]

At the University I go to we (engineering majors) have a 20/20 criteria that can be checked off by having a math minor. So we fill it in by taking linear algebra.

[@johnped37]

Well you would think chemists would have to take Calc 3, since chemistry is in 3+ dimensions in real life. But no...

[@masvindu]

It was for me

[@surrealistidealist]

I was surprised that Statistics & Probably Theory weren't mentioned. We had to touch on a little of that in my high school physics class, and it really fascinated me.

[@0sm1um76]

I agree with you. I am graduating this semester with a physics degree. I didn't take a class in statistics/probability really but I did research which required I learn a lot of statistics. Honestly I felt that experience was invaluable in gaining intuition in Quantum and Stat Mech. I think Numerical Analysis is also a good math class that wasn't mentioned here.

[@benschmitt7035]

it might be cause you touch on that sort of stuff in stat mech

[@fibonacci112358s]

Group Theory, Representation Theory, and Lie Groups/Lie Algebras get super important if you want to do QFT. Just putting it out there!

[@ChechoColombia1]

But you should see abstract algebra first.

[@zakomurabito4361]

omg is that the rEAL FIBONACCI??!!!?

[@doesntmatter5811]

0:55 that hurt my eyes... like jesus christ I'm gonna have nightmares of doing that in a math test....

[@ellan1664]

Those were my worst nightmares of mistakes in one screenshot

[@gustavoortega5837]

You don’t know what is abstract algebra?

[@doesntmatter5811]

@@gustavoortega5837 no, is it a branch of algebra?

[@ericdreal1907]

@@gustavoortega5837 what does abstract algebra have anything to do with this

[@ericdreal1907]

@@doesntmatter5811 no its a branch of math based on groups, despite the name its pretty high level and shats on your face

[@youtubehandlesareridiculous]

1. Calculus 1 2. Calculus 2 3. Multivariable/Vector Calc (Calculus 3) 4. Differential equations 5. Linear Algebra 6. Partial Differential Equations 7. Real Analysis (Math minor)

[@123ucr]

At least, at my university you need Calculus 1, Calculus 2, Calculus 3 (Multivariable Calculus), Calculus 4 (Vector Calculus/Analysis [e.g. Greens, Gauss and Stokes Theorem, Surface and Line Integrals, etc.], Elementary Linear Algebra (you can take after Calculus 2), Elementary Differential Equations (You can take after Calculus 3 and Linear Algebra. Some of my friends said they could have passed this class with just Calculus 2 knowledge because you only need to understand basic partial derivates, basic matrices and basic eigenvalues.), and Introductory Statistics/Probability (No need to understand Calculus for that math class) in order to graduate with an undergrad in Physics and/or Engineering. Heck, virtually every Engineering Major at my former university is required to take Physics 1 and Physics 2 and you just need Single Variable Calculus (plus trigonometry, geometry [e.g. vectors and drawing diagrams] and algebra) to understand these classes. Not to mention, you also have to take at least one class in Computer Science in order to graduate with a degree in Engineering and maybe for Physics and Mathematics as well. And almost every Engineering major needs to take at least a course in General Chemistry except for Computer Science and maybe Computer Engineering. That is how rigorous the curriculum is for Engineering, Physics and Math.

[@Cepheid_]

I remember in intro to physics 1 our prof started started talking about tensors and everyone in the class almost had a heart attack untill he told us it won't be on the exam.

[@chrisallen9509]

Same for me except it was in calc 3

[@eagle3676]

Tensors are basic though. They are basically jargon for simple things

[@jackm7812]

You talk at the absolute perfect speed. Thank you 💙

[@tyh7529]

Your stuff is great man. You deserve a lot more recognition!

[@AndrewDotsonvideos]

Thanks a lot!

[@kindlernorman1721]

I’m a physics major, and I just discovered this channel. So happy I did. Diffeq and linear were the best. Can’t wait for PDE.

[@katg-gk5ox]

2 years ago so you probably already ran into Math Methods for Physics - we used Arfken - Loved it!!!

[@SquattingErudite]

Do learn about complex analysis, it's basically magic, great stuff.

[@connorcarrillo1139]

I want to be able to take complex analysis, but my local college offers complex analysis the year after I graduate high school (they offer it I think fall semester of odd years, and then 3 other courses on the other semesters), so ill take it when im in college. By the time ill graduate ill have taken Calc 1, Calc 2, Calc 3 (Vector Calculus ), Statistics, Multivariable Calculus/ Linear Algebra, and Advanced Differential Equations. What other classes would you suppose taking? I want to go either into Mathematics or Engineering feilds.

[@SquattingErudite]

@@connorcarrillo1139 Classes aren't all that important, make sure you're able to learn on your own when you need/want to. It's a skill that goes a loooong way!

[@melontusk7358]

@@connorcarrillo1139 Try these Complex analysis courses kzbin.info/www/bejne/m5TNn4miZtJqhM0 kzbin.info/www/bejne/q5jYmayKfq2EiM0

[@philledwith8307]

Complex Analysis is handy for Quantum Mech and for Fluid Dynamics. Group Theory is needed for String Theory, and it makes the linear algebra easier. If you want to study General relativity, then you need a lot of extra stuff (which you probably know about by now).

[@marcioamaral7511]

In my university (engineering major) Mathematical analysis I to IV Applied math Statistics Linear algebra Analytical geometry Physics I and II (basically classical mechanics and electromagnetism) And a bunch of other math and physics related classes that I can't remember

[@obi-wankenobi9871]

Same here, but also thermo and fluodynamics.

[@bluedude6991]

Your channel is treasure ! Thank you so much for these videos

[@shrill_2165]

The thumbnail says that Area of a circle=2*pi*r^2 lol

[@whalep]

Real analysis was a pain but it was neat to study the weak forms of the PDEs and see that the solution and its energy are bounded using the Galerkin method. Also complex analysis is pretty powerful with the residue theorem, I think you should definitely check it out! I'm very surprised linear algebra wasn't required for physics.

[@katg-gk5ox]

Great video! Arfken Math Methods was a wonderful undergrad physics class to take. E&M texts e.g. Griffiths and Corson and Lorraine has some of the Best vector and upside down triangle reviews/introductions out there :) Brought back a Lot of good memories!

[@HomoGeniusPDE]

Abstract algebra is a beautiful class to get you ready for lie groups/algebras which help lighten the work load in quantum mechanics

[@gunhasirac]

In my college Cal1: limit, derivatives, integration Cal2: integration, curvature(parametrization), multivariable Applied math: vector spaces, eigenvalue problem, ODE, PDE, special functions

[@Newtonissac6]

Fantastic video as always. I had to take mandatory real and complex analysis as well as linear and abstract algebra. I actually liked real analysis so ended up taking another course in it. It was the single most challenging class I had ever taken.....until I took classes on functional analysis and differential geometry. I enjoy these math classes on their own just as much as I love them in physics. I would love to know which math class you enjoyed the most on their own.

[@HarshaVardhan-we1wc]

Thanks alot for this video man. I'm in my 2nd year undergraduate physics and I really neede this.

[@Eric-jh5mp]

4:00 This is extremely relatable. I'm taking Adv diff equ which is my school's equivalent to that this semester. I am excited to know where these special functions come from like Bessel and Lagendra stuff.

[@hrperformance]

such a useful video! thanks man

[@AkshaySinghJamwal]

I took real analysis along with discrete mathematics (and some of the same things mentioned in this video) when I was studying physics in college. Personally, I found real analysis to be the most enjoyable, since it delves into the very nature of mathematical truths. Real analysis is to maths what maths is to physics.

[@henrylasry4154]

Very useful video thanks !

[@nelsonrocharamos1934]

I took topology, real analysis, complex analysis, abstract algebra... I loved all of them. And honestly, I think that they somehow helped me along the way.

[@mjb405]

I'm so glad my major had a math minor built into it and than I dont need to take what you did. I only need calc 1-3, diff eq, and engineering math

[@kimberlyalvarez3039]

When your not a physics major but you love watching his videos and his face 😂

[@MichaelEdwards18]

I've taken all of these as well, I'm also doing a math minor. However, I'm only taking PDE this fall, and also vector calc. I've also taken complex analysis and modern abstract algebra, the latter being one of the most conceptually difficult but also most interesting math course I've ever taken.

[@Altobrun]

It's interesting to see differences between US and Canadian curriculums. From what you've described we took the equivalent to calc 1 in highschool and had an option to take an intro to linear algebra course then too. The engineers and physics students (at least at my undergrad univeristy) were required to take: Calculus and multivariate calculus (civils also had to take adjustment calculus and advanced adjustment calculus) Linear algebra 1 (and 2 for physicists) Differential equations and infinite series mathematical methods 1 Intro to statistics

[@perezr9623]

For my highschool program, we are required to take calc 1, 2, 3, differential equations, and linear algebra, so I don’t know if there’s a difference between countries, I think it just depends on the highschool or college itself

[@richardwagon6433]

At MSU once you've finished calc 4, you have to take two different 300 or 400 (basically junior and senior) level math classes of your choice. These all use formal proofs. There is an optional Math 299 class called transitions that teaches you about formal proofs, induction, and ends with congruence classes. I ended up taking abstract algebra 1 (300 level) and abstract algebra 2 (400 level). Once you get to the second class, you get into group theory and other topics that are extremely useful in advanced physics areas like nuclear physics. Most physics majors here take linear algebra and a phsics class call methods of theoretical physics that satisfies the math requirement. There's also a class a lot of students take instead of linear algebra called matrix algebra which is just applied linear algebra with less of an emphasis on proofs. Mostly physics and CS majors take it with almost no math majors.

[@ryans9094]

I think Linear Algebra is absolutely essentialfor a physics degree. It's in QM, Classical mechanics, special and general Relatively. It was the first math class I had, even before the calculus math classes. You need to know and be very comfortable with matrices, eigenvalues and eigenvectors, determinants and so on, because all that basic stuff comes up everywhere. Also missing from your list might be vector calculus (I'm not sure if this is within calc 2 or 3 as I'm not familiar with the American system). One of the most enjoyable classes I got to take was Complex analysis, but you may only need to do this if you're really going for the theoretical side of physics. Differential geometry was also a nice abstract class, and gives you the maths for GR.

[@ryans9094]

@Parker Moss Yes. But I think the university did it that way so that people who had to take lower level maths courses wouldn't be struggling with calculus higher than what they were doing from secondary school at the same time.

[@ryans9094]

@Parker Moss it's possible cause they are two separate things

[@ryans9094]

@Parker Moss well that's a separate course for us. Im assuming you're in an American college where they have to play catch up with a lot of stuff and have to take general courses too. Here we can go more in depth in courses rather than putting a broad range of stuff together

[@krishnadasnair8765]

I'm a physics major and linear algebra has been the best math class I ever took. It just depends on how its taught.

[@High_Priest_Jonko]

If you think Real Analysis will help you in the future *SHRUG* you're missing the point. If Calculus is a car, Real Analysis is everything under the hood which makes it run; the engine, transmission, battery, etc. Epsilon-delta proofs aren't useful by themselves, but they help you obtain a much deeper understanding of the theory behind Calculus. The point is to disagree with every statement in the proof. Then you slowly erase all your disagreements by working through the details and seeing why this really is true and valid.

[@tripp8833]

This is the main reason why I want to take real analysis course. What is point of using calculus everyday if you don't understand it?

[@ruloflexis]

@@tripp8833 Well it's understandable that someone uses it as a tool.

[@barutaji]

@@tripp8833 I studied it for fun. It is certainly useful, in the sense that you understand it better, but I don`t think the cost-benefit is worth it. It is more than enough to have a good intuitive understanding of the subject, and you don't need to derive everything from the axioms to "see" that it is right. You can be alright with a good understanding of functions and a geometric intuition of the concepts. But, if you accept the "much effort, few direct benefits" part, than it will absolutely add to your understanding of the subject.

[@soccerplayer2277]

@@tripp8833 You may regret that decision, maybe an intro to analysis isn't bad but when you get into Borel sets, Lebesgue integration, and Measure Theory its a nightmare and goes way beyond practical use. While it is the underlying theory for some important concepts I've never enjoyed understanding the math at that deep a level, it goes well beyond practical use that I am aware of.

[@tens0r884]

You are completely wrong. I love analysis, but you don't have to know how a hammer is made to hammer a nail. I will say that analysis is useful to build mathematical rigor in physicists, but that's it, none of it is really applicable.

[@FalloutYakuza]

I took Calculus 2 over the summer and I quickly learned the difference in difficulty between a Tier 4 school (the school I was originally at) to a Tier 1 school (the school I transferred to). In Calc 1 my Tier 4 school we were taught what a limit was, what a derivative was, and what sorta what an integral was (like Andrew said). However, while taking Calc 2 at my Tier 1 school I learned that the other kids in my class weren't taught what a limit was in Calc 1 and instead were expected to have learned it in high school. They were also expected to have had a good understanding about derivatives and Riemann sums from high school as well, and the majority of what they learned in Calc 1 was integrals, Riemann sums, and stuff like that. I never learned what a Riemann sum was and I learned very little about integrals at my old school so it felt like I had essentially skipped Calc 1 and went straight to Calc 2. Needless to say, Calc 2 has been extremely because I've essentially had to teach myself 2 different subjects at the same time (on top of it only being a 6 week summer course that I have to at least get a B+ in order to get into the program I want). I'm really worried that University Physics 2 will be the same way for me when I take it in the fall.

[@iammaxhailme]

I was a chemistry major with the sub-focus on physical chemistry (other options were biochem, organic chem, and marine/atmospheric/enviro chem). My required courses were calc 1, calc 2, intro to linear algebra (200 level), statistics and analysis for scientists (basically a variation of AP statistics high school level), and a choice of either multivariable calc (calc 3) or diffeq (calc 4), although I double majored with applied math so I needed to do both for that anyway.

[@Krystaltho]

My my physics classes I’m required to take Calc 1-3 Differential Equations, Linear Algebra, and Complex Variables and Fourier Transforms. For elective courses I’ve taken Applied Linear Algebra and Partial Differential Equations and Group Theory. All classes have helped me so far (not so much GT but it will for QFT)

[@mikeo.4203]

This video has me wanting to be a physics major./stem. Wish I could take the real calc classes but applied calc 1 and 2 is just as fun. One of my fav classes was a physics class I took as an elective.

[@FineFlu]

More emphasis on linear algebra- 2 courses: intro to matrix algebra and applications, the other on vector spaces, linear transformation, determinant, eigen everything

[@ginogamboni689]

For me: 1. Calc 1 2. Calc 2 3. Calc 3 (Multi/Vector) 4. Lin Alg/Diff Eqs (both classes combined into one) 5. Partial Diff Eqs 6. Complex Analysis

[@charlie2640]

I would have included some complex analysis in there. Mapping to and from complex plane is useful. I would also include something in infinite series, but this usually goes with many calc classes. These are really useful in many approximations used in physics and in solving some differential equation. Knowing that sinx = x (almost) for small x seems to crop up all over the place in physics as an example.

[@zokalyx]

useful video, and to the point.

[@Bronoulli]

at cal poly we had an "advanced linear algebra" course that I took concurrently with quantum mechanics and it was extremely helpful because it was all eigenstuff

[@daj19972]

Complex Analysis was by far the coolest math class I took as an undergrad

[@eagle3676]

We have advanced calculus and complex variables as well, as a requirement. Advanced calc is basically going behind the scenes of calc using analysis and complex variables, which I have the final for 2 days from now, is all about calculus in the complex plane so everything from limits to Cauchy's integrals to poisson's integral to residues to boundary value problems to Laplace and fourier series and transforms. I'm not entirely sure where specifically I'll encounter this material, but I have a sense that it might not be in undergrad but rather grad school

[@bernab]

In Spain in my first year I had: Mathematical Analysis 1 and 2(which is Calculus 1, Calculus 2, Multivariable Calculus, Vector Calculus), Linear Algebra, Mathematical Methods Of Physics(which is Complex Variable and Differential Equations).

[@theoreticalphysics3644]

Required: Calc 1-3 Intro to Diff. Eq. Intro to Linear Algebra My minor: Probability Theory Discrete Math Numerical Analysis 1-2 Advanced Calculus 1-2 Classical Mech and GR also apparently count as math courses at my school. Also, advanced calculus is just a condensed version of a math major's requirements, especially focusing on diff eq and linear algebra. I'd expect it would've helped in QM especially when you get into radial equations and spherical harmonics.

[@rfdrob769]

Interesting, at my University Intro to PDE's and Linear Algebra are both required for all physics majors.

[@GojoSenpai25]

After taking all math classes, calc 2 is the least used not including integration by parts and series. Hands down calc 1 and calc 3 are the ones I have use the most

[@ligueardent]

Damn, you got it pretty easy. At EPFL (where I study), we are obligated to take Calculus I, II, vector calculus, complex analysis, and linear algebra I and II, and statistics and probability.

[@backwards3454]

My uni has mandatory linear algebra in the first semester, combined with complex analysis basics. Also, we have calc I and II combined in a single course, while we take calc III in the second semester. PDEs are also a mandatory course.

[@darrellrees4371]

I didn't use it every day, but I found a calculus based probability and statistics class most helpful as a physics undergraduate.

[@carlosgallegos1265]

real/complex analysis and PDE are mandatory in my uni, and I'm convinced I'm going to be an experimental phycisist.

[@matasmackevicius5594]

Analysis I&II, Single-Multi-Vector Calculus, Linear Algebra, Topological & Vector Spaces, Functional Analysis, Differential Geometry, Abstract Algebra, Algebraic Geometry, Representation Theory, Complex Functions, Complex Analysis, Differential Equations, PDEs, Fourier Analysis, Fluid Dynamics. (All things I've took or will be taking for my maths & physics course in the UK). For Physics classes (1 Big first year course in physics: classical mech, EM, QM, Waves), Quantitative Physics (Solving physics problems), Computing, Thermal & Stats, Optics & EM, Classical & Quantum Mech (Rigorous stuff), Advanced QM, Relativity, Advanced Gravity, QFT, Black Holes, Particle Physics, Condensed Matter Physics. 4 year integrated masters (Stuff like Algebra and Algebraic Geometry I am not formally taking for credit, but learnt or will be learning to aid my course).

[@Sam-cs6hu]

Linear Algebra is pretty abstract. And 3blue1brown’s Essence of Linear Algebra video helps with that! Totally recommend.

[@yannickescalera3231]

I took Group Theory and loved it! (Im studying for my bcs in physics)

[@pinklady7184]

What books on Group Theory do you recommend?

[@loouuiisssss296]

1. Calculus 1&2 2. Caculus 3 (Multivariable Caculus) 3. Ordinary Differential Equation 4. Partial Differential Equation 5. Linear Algebra 6. Real Analysis

[@markedwards7721]

My chemical engineering curricula at UF in late 1970's seemed to have hit on most of your topics at one time or another, but the quantity required to make it all stick was not so much.

[@FalloutYakuza]

Differential equations and linear algebra aren't required courses for my major at my school and they were just added as recommended classes last semester. I hope that my physics professors aren't expecting me to have had prior knowledge from those two courses. I didn't even know that those two courses existed until Andrew talked about them in one of his videos.

[@mariana_reads]

I have Calc I and my professor covered limits, derivates, integrals (primitives, definite integrals, indefinite integrals), Taylor series (sorry I am literally translating from Portuguese) all in one semester. I am not complaining, had a great teacher and I could see how applicable this is in real life. I only have one calc class because I am majoring in Chemistry.

[@tatjanagobold2810]

Today I got my Birthday present of which a part was Schaum's 3000 solved problems in physics. It is a really awesome book and I put it on my wishlist because you recommended it, so thank you a lot! Also, I hope your wisdom teeth aren't causing you too much trouble

[@AndrewDotsonvideos]

Awesome! Hope you enjoy it (and happy late birthday!)

[@xiaocharlie7226]

There is a really useful course for physics majors called “Mathematical method for physics” ,which includes the PDE for physics problems, some special functions like beta function Bessel function, some Topology, some integral equations, and some complex functions.

[@puffthemagiclepton7534]

Complex Variables is a fucking fantastic course during undergrad for your maths requirement. Also I took vector analysis and tensors which is helpful for GR.

[@bradymartin5417]

Just a note as a person with a Math degree - I'm not sure how often physics majors use proofs, but math majors use proofs constantly and they're something that, while not being directly related to anything I've done since I graduated, I do think they helped shape my analytical thinking toward a "proof oriented" thought process. That said, some useful proof classes that I took are: College Geometry, Modern Algebra, Applied Mathematics and the 4000 level Advanced Calc 1 and 2. If you're interested in proofs or want to expand your understanding of how to prove different axioms, those are good classes to look into.

[@SakraIgor0qNomoko]

For those who haven't taken an Intro to Proofs class and are going for a non-math degree, I would definitely recommend complex analysis over real analysis, as complex analysis typically isn't proof-oriented, and there's good grant money to be had for complex analysis-related problems. An Intro to Real Analysis class is essentially proving all the stuff you learned as a given in Calculus, as well as the motivations for coming up with these ideas in the first place. Just like you really need to know your algebra before taking Calculus, you generally need to be familiar with the basics of proofs before taking Real Analysis. In fact, as far as undergraduate math classes go, both Modern Algebra and Real Analysis are some of, if not the most, proof-intensive classes for a math major and are generally indicators of how well you'll do in graduate pure math courses. However, as Intro to Proofs is a class with a generally higher fail rate, I would say that if you wanted a taste of proofs without it affecting your GPA, you should take an Intro to Logic course offered by a Philosophy department. Not only is the material generally more straight-forward, but it is far more applicable to daily life (insofar as identifying fallacies in arguments in the debates on television or in your own preconceptions).

[@NFLStefanONFL]

I'm an environmental engineering student and the math classes I had to take were: Calc I, Calc II, Multivariable Calculus, Differential Equations, Numeric Methods, Algebra I and Algebra II (linear Algebra)

[@giorgos41000]

In my university vector calc is also mandatory for undergrad

[@coconutflour9868]

At my uni here in Croatia, Linear Algebra (1 and 2) are mandatory for physics students to take in their freshman year and we learn complex analysis, ODE's, Fourier analysis and PDE's in Math Methods (1 and 2) our sophomore year

[@JUK3MASTER]

In Croatia; analysis, linear algebra, mathematical methods in physics (Complex analysis + real analysis +PDE+ODE), group theory, statistics (a metric ton of it) and vector spaces

[@kennedycorrea9150]

In my university, calc 1, 2, 3 and linear algebra are the only obligatory math classes for physics majors. But they see differential equations, complex variables and a little bit of real analysis and topology in the three physical maths classes.

[@autid]

Looks very similar to what I've done here in Australia just arranged and named little differently.

[@devinlocke3691]

There's a point where linear transformation just click and it all becomes clear. I hope that happens to me before my test on Thursday.

[@capefry8323]

The fact that this guy was tested into algebra during his first college semester, and is now a phd physicist is incredible.

[@gogooggoogog2281]

We in switzerland don't have calculus, but we take analysis in the first year, which covers both proofs and calculations.

[@eagle3676]

How do you function in physics without calculus? That's the fundamental of almost every physics course

[@charonder]

@@eagle3676 Analysis is calculus but calculus is more applied I think, analysis is much more proof heavy (just had my Analysis III exam on a maths and physics degree)

[@eagle3676]

@@charonder good to know, thanks

[@ramezhamarneh4608]

@@eagle3676 They have intensive math education. Also in Europe* calculusI and II, as a tool at least, is taught at a school level. * Not all countries

[@DerToasti]

from my experience it's all the fun stuff and then we peace out when things get hairy.

[@autumnreed2079]

Vector analysis, discrete mathematics (more for when I was going for a computation minor). Vector analysis is like calc 3 on steroids. Discrete is about proofs and truth tables, not really relevant to physics but it helps broaden your scope.

[@martinhopaour5744]

i took Vecto Calc. mixed in with the french revolution and John Rawls.

[@juliaifrank]

Hi Andrew! How about mathematical physics? We have math. physics 1 & 2 as a mandatory classes as well. Just finished my year 1 of physics major and starting year 2 in fall and math methods are on the list. Could you please explain a little about those? To me it seems these courses are more like math, but with more applied physics problems in them. Looking at the course content there are ODE and PDE as part of the course. Oh, and linear algebra 2 is also mandatory course for physics undergrads in my uni. Thank you in advance for clarification on my questions! Great channel, by the way! )

[@architarora9419]

MIT William strang lectures of LINEAR ALGEBRA ARE GOOD

[@gigawattzgamereviews2094]

my uni has a class that’s just very basic linear algebra and very basic multivariable calculus that all the physicists and engineers have to take, and you can later take advanced calculus and linear algebra for a more thorough background

[@jonathanspears8635]

Hello, this is probably not the place to ask (heads up, It's a little lengthy), but here I go (I'll try to summarize the best I can). I just graduated high school and will (likely) be a physics Major in college, I also plan in getting my Ph.D. in some specific physics field. Anyway, I had the opportunity to take up to multivariable calculus and Physics 2 (calulus based) at a community college with the dual enrollment program. Now my question: should I try taking more than just differential equations for the major? I have planned taking linear algebra before differential equations and maybe doing a mathematical physics Major with the physics major. Should I stay with this plan or maybe do a pure mathematics major? It seems that the more math the better for physics later on. Thanks! Also, I looove your videos! (My favorite joke so far is "My name is Andrew, I am a physics major and something interesting about me is that I can start fire with my "thoughts". :)

[@tripp8833]

Take Diffs eqs, linear algebra & maybe re-take multivariable calculus at your new college. Those are all you will need for physics, but it might be nice to take a course in complex analysis

[@Peter_1986]

For some reason I just knew that the math-related topics would be represented by the red colour; I don't know what it is, but red just seems to go perfect with math. I guess maybe this is because the colour red tends to be the "first" colour in a lot of situations (like "red green blue", for example), and math is like a very fundamental "first" course in a lot of ways.

[@perezr9623]

Question: does that mean I only really need to take partial differential equations and real analysis in college or do I take more for physics? I’m a high schooler right now but in my program, we are required to take calc1 sophomore year, calc 2 and 3 junior year, and linear algebra and differential equations senior year.

[@nenamartinez96]

Most of these classes are offered at my community college. Yay to saving money

[@natanaelalpay7049]

As a math-physics major, I can say all of them.

[@pinklady7184]

Precisely my thought, and I am determined to study all of them.

[@jessiemanopo]

Complex analysis helps me to integrate something in quantum mechanics

[@redrounin1440]

"exactly more than one dimension" HA! XD

[@cobratech47]

The real analysis course you mentioned is similar to the theoretical computation course in computer science.

[@aubreyjohnson2551]

Ugh, I took a real analysis class last semester as a math minor. It was SO hard! I totally relate! Keep up the good work! Why didn't you take Cal 4?

[@ericnathanstucky246]

What is Calc 4? Calc 1, 2, 3 are names that are very standardized across the US (because of the enormous influence of Stewart's "Calculus"). Once you leave those waters you have to be clearer about what the name of the course actually means. [At my undergrad we didn't have a class called Calc 4; at my grad school there's a course that's informally called Calc 4, but it's actually just differential equations with a tiny bit of linear algebra thrown in.]

[@masvindu]

My prof in 3rd year for "mathematics for theoretical physics", was kinda like "aiight, complex analysis, in every form, now we learn Fourier series, Fourier transforms, Laplace transforms, Greens functions, group theory, plus etc etc etc" in 3 months. Gotta admit though, it was fun in a way.

[@gi99hf60]

Laplacian in spherical coordinates gave me the bumps

[@sayanjitb]

"It is easier to draw a triangle than to write what that triangle stands for" - physicists choice. okay as you mentioned, what problem did you solve voluntarily in the computational physics course using a real analysis technique?

[@harveywilliams7013]

Hi, I notice in some of your other videos you make reference to more math topics such as Lebesgue integration. Where did you pick these up? I'm coming to the end of a physics degree at a pretty good uni but the whole thing has been a bit of a disappointment - almost every topic we eventually hit something along the lines of "you need topics from math undergrad to do this properly." Currently trying to figure out what to apply for next. When I've had time to work through proper maths texts, I've absolutely loved it and am aiming to learn as much maths as possible. Did you have the chance to cover extra taught classes in "proper" math as a grad student? Are there opportunities for physics grad students to 'catch up' on undergraduate maths classes?

[@arthurdiniz5903]

Apart from what you've said, I'll also have Numerical Calculus as a mandatory class in my undergrad and Probability as an optional class (a lot more optional classes too, but probability is the only one almost everyone takes), any thoughts?

[@AlEX95RbT]

How did you do Fourier and Laplace transforms without complex analysis? Also would've expected you guys to have some sort of probability/statistics course.