Physics Vs Math - How to Pick the Right Major
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This video is about physics vs math and how to know which major is right for you. You may have enjoyed them both in high school so of course you may want to major in one in college.
The good news is that if you major in physics then you will take a lot of math classes to the point where you COULD almost have a minor. But as a physics major you will not take a lot of high level math courses that are very important especially for pure math students. Pure math students and physics students actually have very little in common. Physics majors care more about math that applies directly to physics concepts, while a pure math student cares about solving problems within mathematics alone.
Then note as a math student you will likely take very few or no physics classes throughout college (unless you get a minor). You will learn math concepts that can be applied to physics concepts (such as differential equations to solve for the motion of a mass on a spring), but you don't directly learn the physics behind them.
Both math and physics have a wide range of job opportunities and often it doesn't necessarily matter which major you go into. It's more important to know what kind of job you'd like to go into, and pick a major that sets you up well (but often there isn't a right answer).
Also note that with a major in applied math, you should consider getting a minor in some other discipline.
Hey everyone, be aware that if you go to grad school, especially in a theoretical physics field, you WILL see those pure math concepts (topology, abstract algebra, and plenty more). And if you do go into a theoretical field, although you may not be required to take those classes in undergrad, you should consider taking as many as you can because it will be important to have that strong foundation.
Support!
I am a mechanical engineering student from Hong Kong.
I could see your enthusiasm about engineering. You made lots of informative video.
I really appreciate your work!
Thanks for the comment!
Thanks!!! I'm in a tough situation, 2 months and I gotta decide between them.... What would you recommend me to take a decision?
You got it! And it's tough to give an answer without knowing what your interests and career goals are. Both of these majors have similar salaries and job opportunities. If you choose physics then the first few semesters of college will be extremely similar to a math major (taking all the calculus classes) so if you decide to switch it really won't be a big deal or prolong your stay in college much if at all. Same thing kind of applies for starting with math but at a lot of schools you won't be required to take ANY physics classes, so you'd have to do a little bit of catching up if you switched in that regard. If you really enjoy both though and can handle the work load then just pick one, and minor in the other.
Thanks! I'm leaning towards Physics, so I have a bit of Mathematics as well. I wanna be a researcher one day, and Physics has more fields to improve as I could see. I'm not from US, I don't find minors useful in my country.
Thanks and keep making quality videos!!
Kinda funny, I'm a physics student and my computer background was the right picture in the thumbnail.
Andrew! Love your channel!
Didn't expect to see you here
Please Andrew, do you know what systems these equations to the right in the above picture represent?
Hey it's my background too!
And so it began.......
Damn it I want to learn it all
Do a double major if you can handle it. If not major in one and minor in the other. Also consider doing a master's in something like theoretical physics and taking extra math courses with it and you will probably be very happy with the combination of math and physics.
You and me both
Honestly
@@zachstar Damn that sounds cool af
You can, the internet exists lol. It's honestly hyped up to be way more complicated than it really is. Also MIT, Stanford, and a lot of other universities have videos of their course lectures available for free on TH-cam, just look the course name and university.
As a physics graduate, I would personally recommend majoring in Mathematics if you enjoy them a lot. Mathematics is a lot more versatile in terms of career and job options than physics, and it can also serve as a pathway to areas such as mathematical physics or theoretical physics, giving you a better grounding than physics will. I find the main issue (and this is true among most physics students) is that if you want to do some serious physics, the main thing holding you back will be all the math you need to learn and use on a regular basis (unless you do purely experimental stuff, but even then you will need exposure to certain topics). Even to learn very old physics like the theory of classical electromagnetism and classical mechanics you need a good grasp of things like differential equations, vector calculus and complex analysis. In most physics undergraduate courses, the math you learn is simply insufficient to keep up with all the other things you learn where you are meant to apply all those skills. Hence, my recommendation is this: if you like physics more than math, then you might consider doing something like mechanical or electrical engineering, which have a good balance between both and plenty of jobs available. If you enjoy math more, then go for a mathematics or statistics degree, which will give you more career options. Physics is only good if you do it at the postgraduate level, and you have a pretty good grasp of mathematics. The concepts are easy to grasp once you get through all the difficult math. Just something to consider.
Thanks for the comment, this is very interesting to hear especially from someone who graduated in physics.
LetThereBeMath this was very very helpful. Thank you! 🙏🏾
LetThereBeMath Thank you so much for this comment, you helped me a lot
Physics is a very versatile degree and isn't limited to postgraduate work. I wouldn't recommend that if you like physics to go into engineering, but to go into engineering if you like engineering. Physics majors are capable of completing many of the same jobs that engineers are, engineers being commonly more specialized. My two cents is, just do a good amount of research before you decide what you are going to study.
thank you
Just a random English major floating by...
Chris Ayers L
Should I major in English or Chinese?
As you continue to float by lol
@@derivativecovariant2341 north Korean
Hi!! 😂😂 i am a humanities student too.
Some Subjects, I learnt in Pure Mathematics During my MSc :
1. Measure Theory
2. Functional Analysis
3. Topolgy
4. Manifold Theory
5. Field & Galois Theory
6. Differential Geometry
9. Graph Theory
10. ODE & PDE
11. Algebric Topolgy
12. C - Programmimg
13. Fourier Analysis (Optional)
14. Harmonic Analysis(Optional)
15. Linear Algebra
16. Complex Analysis
17. Real Analysis II
etc
You meant Bsc I assume
@@user-ke5ux3sg4sI hope not because all of thosse are very advanced, except for analysis 2.
@@nicolasreinaldet732 most of those are incorporated into the Bsc at my uni
@@user-ke5ux3sg4s On a second read ok, Is just measure theory, the manifolds, diferential geometry and all that topoly that In my university are generaly pos-graduation topics ( altought we do have topology In grad Is just that we call It intro to topology ).
@@nicolasreinaldet732 That is remarkable. Is your university located in the usa? Measure theory, manifolds, differential geometry, and topology are all second years courses at our program (the Bsc takes three years here and is followed up by a 2 year Msc)
You have no idea how helpful this channel is to students. Thank you and keep up the good work!
Thanks for this comment! Really appreciate it.
I agree with Ibrahim, this video helped me understand math majors and what classes are required. For me, I’ll probably go the Applied Math route along with some type of Engineering.
It does! I wanted to major in actuarial science, then one of these videos came up in my recommendations, and then I applied to be an engineer instead
Great video. My path was bachelor's in pure mathematics, master's in applied maths and now I'm finnishing phd in theoretical physics.. so I kinda went through the whole spectrum and it was really enjoyable! (most of the time)
How do you do phd in theoretical physics without having background on it? dont you need the theoretical physics of bachelors degree to be able to understand phd level physics?(like how if you skip class 2 mathematics classes, you will face trouble in class 3)
@@chessplayer5728 no, a lot of theoretical physics research papers are created by both Physicists and Mathematicians. Many applied mathematicians work as theoretical physicists, I mean look at string theory, that’s probably more suited to mathematicians than physicists yet it is a branch of physics, also the Navier Stokes equation, lots of mathematicians are working on that problem yet it is classified as a physics problem. At the highest level of these subjects there is barely any difference.
Ok weeb
@@emiliofermi9994 Nerd*
@@zigzagnemesist5074after bsc in math, can I work with gravity problem? What will be the pros and cons?
Physics vs math: which major to choose according to an engineering major. Gold
Major in physics,but learn mathematical physics in parallel with books like mary l boas.You'll have solid basics in math and also you'll get to see how beautifully math fits into physical phenomenon.That makes you love physics and mathseven more.
Good, I majored in Physics and super minored in mathematics.
*The most FAQs*
*Engineer: How does it work?*
*Economist: How much will it cost?*
*Mathematician: How can it be further optimized?*
*Physicist: Would you like some ketchup?*
Hahaha as a physicist. But realistically Physicists get employed in my country at 95% at top managerial jobs while mathemaricians at 74% 1.5 years after a masters.
And: average IQ of Physics majors is higher than all othee majors in the US. Similar trend everywhere else.
why
@Quork Applied math and Pure math is conflated as a single category which is mathematics. Isolate them and you'll see that Pure mathematicians have higher IQ than Physicists on average. But I concede the fact that *theoretical* physicists overall has an higher IQ relative to *pure* mathematicians based on a handful of SAT/GRE and other correlated standardized test scores.
Also Applied mathematics, Financial mathematics, Actuarial science and Computer science consistently show up in lists of the best careers in terms of salary and job opportunities. This expands if you also consider math-heavy degrees in engineering.
These careers combined not only have immense impact in the world; they are shaping the world as we speak. So shut your trap about physicists having more financial opportunity when it's clearly not the case since us math folks predominate the industry with respect to cash as is evident from the data.
Antonio citation needed
@@anthony1003 even if they have higher IQ
Physicists are more needed in the modern world of technology than Mathematicians who have almost 0 use of their knowledge other than just teaching it to someone else
I can tell your a physics major from this video. The one thing I do have to add because I’m seeing a lot of comments about how math majors are purely interested in math and teaching it, while true, is that you can be a mathematician and still make a real
World impact. Alan Turing was very important in inventing the modern computer and formalizing the underlying theory that allowed the computer to be invented and built. This was all math. Fields like theoretical CS are pure math fields that have real world impacts. Even pure math work like geometry has impact theories like the Big Bang. It’s not all about the equations and constants, and it’s definitely not only about teaching for those confused
those are very obvious examples, except from the geometry example. even something like number theory and understanding of prime numbers forms our modern cryptographic approach, you'll find that in use with credit cards. an old maths problem was what spurred on innovation in blockchain. "Imaginary numbers" helped with physics, negative numbers (seen as silly at first) helped with banking in ancient times. Just wanted to emphasize for anyone reading that the only examples of maths being used in the "real world" aren't enough. Everything, or a whole lot, of random "patterns" that mathematicians have discovered for the pleasure of the field HAVE HAD USE, it just takes a while for it to have an application.
I know this will sound weird but, what would you say would be the bridge? as in, is there any degree where you might know the very abstract math concepts and when you see a physics problem you can basically find out that that physics problem can be solved by a certain kind of math without you being taught that those two fields might correlate? kind of like a field where you can find a nice interesting physics problems, (so you do have knowledge in physics and arent just a pure mathematitian) but at the same time, your knowledge of math is vast enough to find something, like maybe an area of math or some algorythim or some equation or anything that mathematitians might have allready though about in an abstract way, but you use it to solve a physics problem?
In the clearest possible way: is there a field of either (aplied obviouslly) math or physics where you can use very complex math (posibly math never aplied before!) to solve real world physics problems?
Jobs:
Applied maths, plenty.
Physics, plenty.
Pure maths.... um, you weren't really hoping to get a job were You? Well that's a shame.
Actually after a degree in pure math you can find a job but you just won't want to work because all jobs are less interesting than proving theorems in grad school 😊
That is the nerdiest but most true thing I've heard all day
Not true. I landed a job as an electrochemical engineer with a pure math degree. I also had an two internships and really made an impression to the engineering director, so he hired me as an engineer. I'm in my 3rd year.
Really? I thought that engineering and math are different things. That really surprised me!
LOL I'm in that position right now. I'll have a first class masters in maths where I only took pure modules so I'll be unemployable asf.
This channel is so much better than the larger ones (Engineered truth etc) Instant sub!
If you really like physics, chances are you'll like a good chunk of math as well. Maybe not so much the proofs but knowing more tools that can be used to describe very interesting things. As you go up the math you need becomes more and more intertwined with the physics you're doing.
I was a compsci major but I switched to math because similarly to physics I felt they just gave us the equations rather than getting to the equation. Also, after the introductory cs courses, it felt like I was getting diminishing returns for the number of cs courses I was taking. I think switching to math will give me more tools to improve my problem solving abilities.
As a double major in math and physics (math graduate now), I will say physics is all about getting intuition of the reasons of phenomena, and math is all about logic.
To put it more precisely, physics has math only as tool, and the meaning of the result is more important. Thus approximation and intuition is the main part that you are learning. The reason being physics is “telling the story of the phenomena in real world and making sense of it”. You can only “approximate” the real world, and can never “derive” the real model of the world. There’s only better model, no best model.
Math is all about logic and hence rigor. A class always starts from definitions and moves forward, as how math textbook is written. But that’s the result of the theory. There’s always motivation and reason of defining things as it is to establish the theory. Mathematicians always try to make least assumption possible (you can already see this from the postulate 5 story). And the rigor is more important in math that, at every step, you have to make sure you are making deductive argument (while in physics it is always almost inductive). You always have to consider the most general situation. If you miss any possibility, the proof fails.
To conclude this, I will describe how you can expect after you finish the degree. After you finishing physics undergraduate, you can study further as physics graduate student for more specific subject, or you can move to engineering as you will equip yourself with all abilities you need to proceed (still need effort to cover the basics in engineering though). After finishing math undergraduate, you will have finish a hard training of logic, so getting into any science territory will be possible. You will have to learn everything for scratch, but your logical thinking should help you make it faster along the way. As to proceed further in math, I would say you are only at the start point. Analysis (ODE, PDE, functional analysis etc) starts from Lebesgue’s integration theory, and algebra branches starts to have dedicated courses on graduate level.
so basically taking physics is faster to move in life but have less job choices but taking maths takes more time but have a wider choice
I'm currently a physics undergraduate and I'm torn because I'm on my fourth semester and I can't decide whether or not to change my major, I comletely love physics and I absolutely adore all the math complexity behind it, when I see the electives I gravitate (no pun intended) more to the more theoretical physics electives and I also can take math electives which I will do, I'm not very fond of the labs so far they all have been nothing but a let down so I don't know what to do, I want to still study physics but I also really really want to study math I would like to do the math in physics instead of the lab work. The one thing I like about my university is that all the math classes I take are very much pure math, I could relate to many of the subjects this video covered in regards of pure math, and I actually love all of those subjects I'm planning to take topology next semester and I've already done my fair share amount of studying so I'm excited. So yeah I love math and physics just not a fan of the lab work, though I think if given the choice again I would pick physics everytime.
In the University of Zurich and ETH Analysis classes are what you call "Real Analysis". Every CS, Physics, Math and even engineering students have to prove Analysis-Basics (and linear Algebra) in the first semester. In Zurich-University Physics and Math students do the same courses. So your categorization seems relative to the institution...
I am a math student at ETH, and I can 100% confirm this, it is also like that in almost every university in Germany
Germany is lit bro wtf
@@darhart8702 yeah, that’s exactly what I’m saying 😂 Germany is amazing, and the educational system is perfect there
That’s because US education and especially their math education completely sucks
@@abcxyz4207 true
Thank you so much for this breakdown! I was an English Education Major before but now I am majoring in Mathematics with a concentration in Pure Mathematics and Mathematics Teaching. My plan is to definitely go into mathematical research.
OMG! I have this problem right now and I'm so happy this video was suggested SO HELPFUL!
This channel is a treasure for students. Thank you zach.
I really appreciated the caveat at 17:31, I definitely agree with what you're saying here. I got my Bachelor's almost 3 years ago and am finally realizing the (sometimes) harsh job reality. I've decided to go to Grad School, but I still found this video very helpful with that decision :) Thank you!
Glad you liked it! Yeah it never goes as you expect lol, but best of luck in grad school!
Instructions unclear - now majoring in theoretically transsexual gender dance theory
Same
I say interpretative dance therapy. 🤣 that was my joke back in cc.
Lmao
Yeah dude !me too.
What a bummer.
Fuck you Zach!!!
Horseshoe theory.
Physics and mathematics both are interesting subjects both are my favourite they clear our logic and know everything about the world
Good definition :)
This is just the channel I was looking for. Thank you!
Thanks for the comment, if you have future video requests feel free to post in the comments on new videos that we put out.
My major is Mathematics, otherwise, I really love Physics. Both solving problem itself and learn more about Physics are wonderful!
Informative video! 😊
Study Integral Equations: Laplace, Fourier Transforms, Green Functions, are all examples of either Volterra or Fredholm Equations. There's a nice (short) classical text, "Integral Equations" by F. Tricomi.
It's a big eye opener to study the above in a more generalized and abstract context.
Doing a great job man....love you!
Great video! This is exactly what I was wondering about! Hope to see more vids, subbed! :)
Thank you!
I love calculus and I'm obsessed with the subject. I wish I was a physics major instead of math since it consists of heavily applied calculus. However, I am content with the education I have. I do plan to study physics further into my career.
I’m love calculus and I have no idea what ik
Doing in physics any ideas?
@@jmccullough975 If you're looking for employment right after college, I would suggest Engineering. It's fundamentally applied physics/calculus. Since Physics is a science field, most of the time you'll be working in an academic field or as a scientist (it's common for ppl to do both as a living). The downside or upside is you have to get your master's degree. Best of luck and make sure you talk to your college advisor if you don't know what to do with your Physics degree. Ask for their guidance.
@@chrisitangonzaga4401 yeah I’m in calculus based physics I right now and I’m completely lost. I feel like I fumbling around the physics and only know how to do the math side of things. If that makes sense. I don’t know too many pure math jobs, statistician, actuary or quant.
What are the jobs that you can get as a mathematics major(other than teaching ofcourse)
Choose a math major. Where if you plan on going into grad school from a math undergrad, you have the option of doing a graduate physics degree but that’s not always an option the other way around.
If you choose not to go to grad school, math majors are also a lot more employable than physics majors.
Mathematics- and especially areas like abstract algebra, group theory, game theory and number theory are highly applicable in areas like computer science, economics, finance, cryptography etc. which means you can branch off and become an expert in other fields.
I think doing a pure maths course would work for me as I love doing calculus and integrals instead of doing force and acceleration etc, from studying but math and physics in my leaving Cert, I would prefer maths 100%
Particle physics and general relativity require the undergrad abstract algebra. Also most universities at least here in the UK, require physics students to do at least an introduction module in pure math in order to permit them to study quantum mechanics and electrodynamics (special relativity applied to Maxwell's theory), while math students don't need need anything more than a weekend to see some elementary application of their second year material.
On the other hand, experimental physics and engineering is the reverse, multivariate calculus and a little complex analysis is more than enough for physics students, but for the math students having to deal with all the physical models is simply not possible.
He mentions this
A lot of us going more towards theoretical physics see these upper level math classes, or classes in proofs, differential gemoetry, number theory, etc.
This is a pretty good video!
Thanks so much I really appreciated it and thank you again 😁😁
Thank you for the video.
I needed this video.
Excellent channel!
Here i am, an engineering student watching a battle between Math and Physics. Great!
Hey MajorPrep, awesome video.
I was wondering if you could talk about theoretical physics, because I enjoy the math part of physics and would like to know more.
Thanks!
I definitely want to talk about theoretical physics! Not sure when but I will get it on the channel
In mathematics you can specialize in at least as many fields, not just pure and applied
Basic Complex Analysis is covered in many physics curriculums in "Advanced Math for Engineers and Physicists" courses.
*IS MATH RELATED TO SCIENCE*
Slender Men *MATH IS A SCIENCE*
Math to Science is like linguistics to words
Martín de Muniategui Climente then what is it?
Martín de Muniategui Climente it is the platform of sceince.
Math is the tool we use for Science! Sciences are the study of something,
Biology is the study of life
Chemistry is the study elements and their compounds, molecular structure, etc.
Math is the study of... MATH.
Hi I will stay with physics and just tale what ever I need in math to help me down the road. I will say you were very help full, thank you
Maybe declare a double major if you think you could swing the requirements
Am a mathematical science student,though I was interested more in Physics,some consepts like linear algebra,calculus 1-3,topology are common in both courses
I enjoyed my first year in Pure Math, but I'm moving to Electrical engineering. I personally deem that besides the proof/reasoning/set theory (math method) class was the most useful one, and the rest of the curriculum is kind of more or less useful. I don't see Pure Mathematics is a worth majoring for me, but I do like studying mathematics casually to explore some structures that can help me categorizing concepts and solve problems. Ultimately, I see mathematics as just a collection of general reasoning patterns and concepts that could be useful for problem-solving. While the symbolic manipulation can be fun at times, I don't see a point investing too much time on it.
Just want to add that having some education in more than one area is a plus. A person I know had a data processing degree. Couldn’t find a job because he could get a computer to do anything, but didn’t know what to get the computer to do. Took some business administration classes and got a job as a systems analyst for a major utility.
Complex Analysis has lots of applications in electricity and magnetism, so I don't know why an applied math major or physics student wouldn't take it. At my college electrical engineering students have to take it.
Do you have anything in your channel related to Engineering Physics? I couldn't find any.
Thanks for the great video btw!
Engineering physics is not on here yet but don't worry many people have requested it and I will try to have it on here as soon as I can! It's less popular of a major so takes more time to find people in it and do the research on it.
Thanks!
I really appreciate the work you do for all of us.
Looking forward to this one
@@zachstar Not yet done :(
Year 4 pure math student, only recommend if you are very very very interested. It just different, the thing with this is that pure math is abstract, you can’t rely on common sense, you just have to guide your self through practice and try to understand. I always love math, and it has been insanely worth it. Real analysis, omg I remember the open set closed set, point-wise vs uniform conversion, definition of integrability, good old times. I think the hardest topic here has to be the proof for mean value theorem. Took me like 2 months to understand that proof, and able to recreate it. Another thing is to define a goal function, and rearranging functions into more useful for by adding zero and such. Very fun good old times, but now I am just doing smooth manifolds and groups and rings.
Constructing proofs in high school geometry turned on the Math lightbulb for me. Eureka!!
(Re-)Discovering Physics in my Senior Year set me on my path.
As an Undergrad, I got turned-on to Dynamical Systems, Chaos, Collective Phenomena and Condensed Matter Physics. I was going to be a Theory Geek!
In Grad School I learned that there is a whole new level to being a good Theory Geek! (There's people who solve extra problems in Jackson "for fun".)
I also learned that my knack is really in the lab and data analysis, which has served me well for the past 30+ years.
About 15 years ago, I came across the field of System Engineering, which is what I'm predominantly involved with, especially verification and more data analysis.
Love ur vids!
Thank you!
Damn..
Physics student here, and i have taken proofs (as part of my analysis 1 class that sounds exactly like the real analysis you described in your video) and abstract algebra (as part of my linear algebra class).
And thats only the first semester of Physics bachelor in Germany.
I'm fked....
wo studierst du?
I took Fourier anal Complex anal, tensor calc in addition to calculus, differential eqns, linear algebra.
I'd love to see your take on condensed matter physics vs materials science vs chemistry.
In my school as a Physics Major, We took Calculus 1 and 2 from the Math department and is proof based. Since we already did compute calculus in high school. Then we also took Linear Algebra, Probability, Complex Analysis, Mutivariable Analysis, and Real Analysis 1( Metric spaces) from the Math department. The Physics department taught two Math classes. MATH METHODS 1 AND 2. Math methods 1 was Vector Analysis, multivables and Intro to Linear algebra. Math methods 2, Linear Analysis, Differential and Partial differential equations.
Awesome explanation
Thanks
Coming back to the mass on the spring, a physic major will learn how to derive the equation. Deriving equations of motion from forces or energy principles is a big part of what physics majors do, especially in the upper level courses. But we do a few in intro physics (such as the mass on a spring). As a physics major, your first differential equation will show up in a physics course, before you learn what they are and how to solve them. Generally, physics majors spend a lot of time solving problems where they are asked to derive the equation that describes the physical situation. Solving is secondary and sometimes not even part of what the problem asks. Often, approximations are made and some sloppy math is used. The emphasis is on understanding and using first principles, and then gauging whether the answer makes sense or not. The solving part is the necessary evil that comes in between.
Yep, definitely pure maths for me. I love proofs! Real analysis and number theory sound fun😄
Complex analysis i enjoyed a lot
I love your videos.
Thank you!
To be honest when you actually spend a week getting into it, a lot of these higher level math concepts are really not as complicated as they're made out to be. Maybe that's just me but tbh it's all just more clever ways to do addition.
My thoughts on these are: Pure Math made you to think critically
And applied maths made you to solve problems by using some available clues that around
Meanwhile physics made you to think outside of the box and using your experience from the past to solve your problem
I'd just like to point out that as a first year physics student, we are being taught a bit of real analysis as part of our calculus class. (10:30) So at least in my case, this is not unique to math major students.
How'd it go?
Finished up my bachelors in Applied Math last year, it was such an incredibly rewarding and difficult journey but I wouldn't trade that for anything. Plus now that I'm not in university anymore I've been reading through Leonard Susskind's Theoretical Minimum series alongside other texts.
@@kalhmeramaraki Data science
I've been increasingly under the impression that while Pure mathematics doesn't have any immediately obvious real world applications, these sorts of exercises can explain the very fabric of our reality in ways that we cannot directly observe, and so would end up being very relevant to theoretical or quantum physics where you're now working in that nebulous zone of exploring higher dimensions, etc.
It's funny because I thought I hated math if it wasn't something that I could directly apply around me, but I've found I actually love the more abstract, higher mathematics. I'm a newly starting out physics major right now and really want to immerse myself in both so its a tough decision.
I'd like to add that this varies from university to university. I had real analysis I and II instead of calc I-III, and complex analysis.
You are the best.
Just fantastic materials
thank you!
For GCSE higher maths we actually do proofs, like one that I did was prove that the sum of two odd numbers is always even:
n=> even
k=> even
(2k+1)+(2n+1)=2n+2k+2
=2(n+k+1)
*Anything multiplied by 2 is even
You are the best
I'd like to add that pure mathematicians can care about physics, look at the analysis of Hilbert spaces for example. There even exists mathematical physics which is taking problems from theoretical physics, rewording them in terms of more general mathematics to make it into a math problem, and then try to solve that in order to help physics :)
You can't go into accounting with math/physics degrees. Accounting is a very technical/skills based field. It's not as difficult as math but you need to have the technical background in accounting in order to go into it. Finance only marginally needs technical knowledge so math majors easily fit in.
In my university in Ireland, the physics and Maths first years are almost completely identical, and can be identiacal depending on what electives you pick. Physics is treated more as maths course than a science. For example the physics and maths students would take courses like Linear Algebra and Calculus, whereas other sciences like chemistry and so on would do something like: Calculus for Scientists, or Numerical Methods for Scientists, which would be a more simplified class leaving out alot of proofs and so on. Interesting to learn that in America, physics is treated more like a science, separate from maths, whereas in europe I think Physics isnt separated as much. For example in Cambridge there is no undergrad option for Physics, only Mathematics. How much maths and/or physics you do depends solely on the individual classes you pick towards the end of the course.
Where did you study? I'm thinking about doing Physics in NUIG, not sure I'll be able to keep up with the maths!
In Belgium the first year of Mathematics and Physics is exactly the same.
I would recommend to look into the study Of econometrics because it has a lot of these topics in their undergrad program
I can't decide,I like both physics and maths. Is it possible to have knowledge in both ? Any way you gave a very clear understanding of both of them.
If you REALLY like both then a degree in theoretical physics might be perfect for you (but you'd need to go past just a bachelor's). Theoretical physicists do learn topics like topology or abstract algebra cause as physics gets much more advanced that math is actually used.
3:00 this is how I was taught T=Temperature (in Celsius, Fahrenheit or Kelvin) and t=time(in seconds)
T is also used to represent the period of a wave in seconds.
Mfw even as a physics major I still took: 2 courses of linear algebra, 1 course of linear geometry, 4 courses of real analysis (2 for 1 variable and 2 for multiple variables), complex analysis, and even functional analysis (even though we never really had a proper topology course and just had the bare bones of the subject from all the analysis we had done before). Heck, I still remember joking about how glad I was I "decided to take a maths major" with my classmates during the first 2 years. I kind of feel like a crossbreed between a physics and a pure math major.
I started with peteoleum engineering, to fall in love with math, which finally took me to love physics. I'm about to become a physicist now, and after that i want to study astrophysics
Hey just curious here. Can I do data science in post grad without having stats as a major in my undergrad? I mean I have done Mathematical Statistics as an elective up to 2nd year and I've heard it's quite important for data analysis
Brilliant
It is interesting to be thinking between two hardest majors... there are plenty of other "easier" things to learn (though might require more brute-force efforts)
If you want to know clear difference between Physicists and mathematicains watch Sir Faymen's lecture on this topic he's is great explainer of all the time thanks sir!
Group theory is a "required" course for physics and chemistry students studying physical chemistry, or crystallography.
So I want to study physics and do research but I do not find the idea of becoming a professor appealing, can I do more of the theoretical stuff (like astrophysics or particle physics) without being a professor?
I loved math and wanted to teach it to kids, but I found out I'm not teaching material. Most of the math I learned I just do for a hobby now since I never cared about applications of it. I do bookkeeping and accounting as a paid job now. Dull, but aside from time constraints it's fairly easy. I can't picture that I'd have more fun doing engineering than accounting even though it involves a lot higher math. I'm pretty much at the point where if I have job stability, a good boss, good hours, a decent wage, and a clean environment that I don't really care what I do. I'm fine flipping burgers if it pays me more than engineering. I can always follow my interests when I get home at the end of the day. Too bad it's becoming more difficult to find a job that pays you well and actually lets you go home at the end of the day.
Best answer: Major in both Math and Physics.
So I could take physics major required classes, and a math elective classes? Could I do this with an Engineering Physics major too? Where I get experience in physics, math, _and_ engineering?
I am interested to major at math
Welcome to the club. Applied or pure?
you sick sick man
Apparently not an english major.
Lets see if ur still intressted in 5 years
devina setiono Apparently not unemployed 😂
Couldn't decide. Currently double majoring in physics and math.
I am on double degree program of math physics but it seems that there are pretty big diffrences in the studies between other countries,here in Israel any student that learn physics or computer sciences study on the first year only math including abstract math and a lot of proves which all the tests are about proves and definitions and barely Amy applied math,only after first yea you start to learn physics and even then you will do some math courses according to the video in other countries it's uncommon
Hey they're!! I think that Wave equation is wrong. It comes from considering there are not external forces; then by newton's first law there is not acceleration and hence second derivative respecto to time is 0 .
I have a small correction to make here. Topology is not necessarily the study of shapes, that is an eventual application of it. Topology is the study of the question: "What is a space?" and really starts with plain set theory. You want to have the most abstract definition of what defines a space and that's to do with sets.
Also you forgot about a huge branch in mathematics, namely Probability Theory. It generally comes up later in undergrad since it requires a lot of measure theory to get really formal, but generally you still get a couple of classes in it during undergrad. It has huge applications in finance and all things quantum and a whole lot more. Every science uses statistics. In pure math you get to know the theory behind it.
Math is to physics, what linguistics is to literature!
dhammika channa hertrich Hahaha ha no. The beauty of math cannot be matched. Infinite Dimensions, Abstraction, Infinities.
Only 3 dimensions is boring.
I take it you are familiar concept of a metaphor?
Linguistic is nothing to Literature.
@@steliostoulis1875 in physics there a 4 dimensions confirmed ,in math there are infinite
@eh6794 math..... is all around us dude
Does this mean I’m screwed if I want to be an electrical engineer after I graduate from Cal? Because I’m majoring in physics. I know I can work in that field, but is it going to be hard for me, since it’s not an engineering degree? I’ve looked up several open positions at various engineering companies, and they all say! “Engineering, physics, computer science, or other related degree,” but will I always be second choice for a typical EE position?
I am very good in elementary algebra and yet, I suck at doing Coulomb's Law. So I think that physics is harder than elementary algebra and even calculus.
Even Ohm's Law is very hard for me to solve.
I understand that when it comes to majoring in physics and math, you are able to get a job as a crytographer, engineer, computer scientist, and other neat jobs like that. So will I have to major in applied physics or math to be able to get those types of jobs, and will I still be able to get a job as a teacher/professor with that majors(to keep my options opened)?
I apparently do my minor in maths and physics. Although I applied for physics. Lot of proofs and lot of differential equation.
This group theory stuff we also go through in first semester in out maths for physicists.
Did you learn in depth group theory and proofs or just the basics?
We started with logic, based on that: sets(de’morgans law, all operations, tautology, cardinality), and again based on that: proofs(direct proofs, induction and proof by contradiction). And with every step forward we had to go back to the logic behind that and proof it by using the logic. We started with axioms for addition and multiplication, also by proofing them. And analysing different groups if they reassemble an abelian group(R, Z, Q, F1, F2, F3). And now, 3 months in we just started with complex numbers. I’m I right, when I think that our maths prof. is trying to teach us more than what’s common for a physics bachelor? Ps: I’m studying in Germany. Our script: goo.gl/3hgzGG (it’s in German)
Note that maths and physics (and also to some degree how they relate) is very different in Europe then in the US