@bskrmts5994
1. You should good at classical mechanics and advanced classical mechanics 2. Electromagnetism (field theory) 3. quantum field theory 5. Algebra, geometry, differential equations, integrations, 6. Complex analysis, reimannian geometry, topology, lie algebra, Clifford algebra 7. Gravitation 8.conformal mapping 9.tensors 😅
@polarcartesian3512
Thank you for this! I am currently a freshman in Bachelor of Science in Mathematics and planning to take Physics in my Master’s and Doctorate. I’m doing my best.☺️
@Beny123
My physics undergrad degree is close to 2 decades old , even though I did well this information would have been incredibly useful back then. Might use it if I go back to grad school . Thanks!
@kiboorg1236
Great video, thank you for summarizing all of this. It seems very helpful to orientate an undergrad
@something-uj4eq
Please keep making these/videos sharing what you've learned throughout your academic (independent and otherwise) journey!
@boombap3454
1. Calculus 2. Multivariable calculus 3. Differential equations 4. Group Theory 5. Differential Geometry
@enricofermi654
Excellent video! I'm studying Hopf Algebras for particle physics. Deep and profound how math sets the mood for physics. Both truths inextricably connected.
@hejter7374
At my university, math was somehow dismissed and during my undergrad physics, I had only the basics of calculus, some differential equations and a bit of algebra. They replaced the love for physics with disappointment and frustration
@douglasstrother6584
Get a big calculus text, and a Mathematical Methods text such as "Mathematical Methods in the Physical Sciences" by Mary L. Boas, "Mathematical Methods for Physicists" by George B. Arfken or "Advanced Engineering Mathematics" by Erwin Kreyszig. The Math Methods texts trade formal rigor for breadth of topics, but have extensive bibliographies when you need to get into the weeds.
@jameskirk5778
Excellent talk. I started in applied math which was math and physics. I was not sure where I would go in life but I knew if I wound up in EE that applied math would be key. I had a PDE professor that stressed what became called systems biology would be the future for applied math I got into computational neuroscience in grad school. I had already focused in digital signal processing from the math depth (not EE dept) so that was practical. I have been in signal analytics and machine learning in my career and applied math is key. I used to tutor Calculus and that showed me people are just afraid of math. You need a good math teacher. I took Classical Mechanics and had a professor who said the best pre-req was working on a farm and learning about pulleys and levers first hand
@douglasstrother6584
There are the 4 Food Groups of Physics: Classical Mechanics, Electromagnetism, Quantum Mechanics and Thermodynamics/Statistical Mechanics. Master the basics, then you will have a solid foundation to build upon for further study.
@Grateful92
In other words, learn everything that has ever been observed and recorded in any form.
@denisbelov5223
Very interesting and helped me sort things a little better, thank you very much.
@mujtabaalam5907
A geodesic is not necessarily the shortest path, but the shortest path on a curved surface will always be a geodesic
@TheBackwardBros
Hey, great video, I like the relaxed but concise way you explain:). I'd love a more in depth view of the neccesary maths in different fields. I'm at the end of my bachelor in physics and have had some of all the maths areas you've talked about and most of the examples you've talked about. It was a cool overview, but i'd love some more insight, for people thinking about which direction to go into in their masters. Maybe with some more in depth examples or talking about the way you have to think in those areas of math. (also just the topics you're most acustom to would be awesome!)
@69erthx1138
I like the plug for Gil's book. Pretty much the only Prof that could make the subject approachable in practical terms.
@rylanbuck1332
Going into my masters of pure mathematics (basically the theoretical math degree) I can for sure do all of these things separately and tell u all about them but physics is one of the math things that bridge all of these ideas of math together and that I am bad at lol. I will stick to my niches in my math degree lol
@wajii-002
It was very good I wanna be a particle physicist and doing particle physics know the very much importance of Group theory
@wagnerbomfim6266
Thank for this. It is important to point north for beginners like me. Thank so much
@douglasstrother6584