Rate My Physics and Math Work: 17-Year-Old Asks for Feedback

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A 17-year-old student with a strong background in math and self-studied physics seeks feedback on their knowledge and preparation for college. They have covered advanced topics in fluid dynamics, differential geometry, electromagnetism, quantum theory, relativity, mechanics, optics, and various areas of mathematics, including calculus and number theory. The student is curious about their standing compared to undergraduate physics majors and whether their self-study will benefit them in college.Responses highlight that while the student has a broad range of topics listed, there are concerns about the depth of understanding, as true mastery often requires more than just familiarity with concepts. Suggestions include talking to college advisors about testing out of courses, focusing on areas of genuine interest, and engaging in research opportunities as an undergraduate. The discussion also emphasizes the importance of balancing independent study with formal education and maintaining good grades in school. Overall, the student is encouraged to seek further evaluation of their knowledge and to consider their approach to learning and specialization in physics.
  • #61
carstensentyl said:
Is it bad that I'm a junior in engineering and don't know half the **** that he listed?

nah, especially if youre not EE

Although you should be aware of those topics and at least know the general idea of them
 
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  • #62
? I am an ME and I know most of those.
 
  • #63
Cyrus said:
? I am an ME and I know most of those.

discrete math, number theory, non-euclidean geometry, quantum mechanics, differential geometry? If you know those, great, but definitely not mechanical engineering staples.

optics, semiconductors, a lot of the programming, relativity, are things maybe we've been exposed to, but I wouldn't say we would know from schooling alone.
 
  • #64
ElNino said:
Fluid Dynamics : Consistency Equations (Navier-Stokes, Euler), LinearHyperbolic Systems, Convective and Diffusive analysis for systems in 1-D and 2-D, Finite Difference Operations - Point, Matrix, Pade's formula, Stability and
Consistency of Flow by Fourier stability analysis, Vortex, Turbulence of Flow,

Differential Geometry in Physics: Vectors and Curves, Differential Forms - 1
forms, Tensors, Exterior derivatives, Hodge-* Operator, Connections - Frames,
Curvilinear coordinates, Covariant Derivatives, Theory Of Surfaces - Flux,
Manifolds, Fundamental Theorems

Electromagnetic : Integral and Differential Calculus of Vector Fields,
Electromagnetic Theory - Maxwell, Vector Potentials, Principle of Least Action,
Solutions to Maxwell's equations of Free Space and Currents Charges,
Waveguides - Transmission Lines, Cut Off, Cavity Resonators, Alternating
Currents,
Lorentz Transformations for fields, EM Mass, Internal Crystal
Geometry, AC Circuits, Reactance, Susceptance

Semiconductors: Junction Diodes, Transistors, Characteristics, Light based
devices, Amplifiers, Oscillators.

Quantum Theory: Introduction and History of the Quantum Theory, Wave-
Particle Duality, Probability Amplitudes, Spin One and Spin Half Mechanics,
Time-Dependence of Amplitude, Hamiltonian Matrices, Schrödinger Equation in

Quantum and Classical Contexts, Hyperfine Splitting in H-Atom, Heisenberg's
Uncertainty Principle


Relativity: Introduction to theory of Relativity, Special Relativity, Relativistic
Effects on Radiation, Relativistic Effects on Matter - Time Dilation etc.,
Geometry of Space time, Dynamics in 4-D, Unifying Electromagnetism and
relativity

Mechanics: Translational and Rotational Kinematics, 2D and 3D Mechanics,
Forces, Energy, Transients, Resonance, Oscillations, Wave mechanics,
Gravitational Field, Elasticity, Molecular Forces and Solid Materials


Optics: Introduction to Geometrical ray optics, Hygens principle, Freunhofer/Fresnel diffraction, Interference, YDSE, Single slit, Multiple slits, Polarisation, Wave-Particle duality of light

I expect any ME to know what I put in bold.
 
  • #65
Cyrus said:
I expect any ME to know what I put in bold.

Fair enough, does it count if I've forgotten most of the list?
 
  • #66
Honestly though, most of the 'physics' stuff I expect an ME to be able to follow along in conversation, but not know all the exact details. I took this stuff in general physics, and I know every other engineer did as well. So they SHOULD know this stuff at a basic level at the very LEAST.

It should not sound like chinese to their ears.
 
  • #67
Cyrus said:
Seriously, yes it is. And its not a he, its a she.

I'm not too concerned. Most of the things he listed were physics-related. I don't imagine the theory of relativity applies too much to building bridges.

Certainly, I recognize many of the things listed, but have never worked with their calculations. I'm afraid I'm more of the practical variant of engineer.

Why so angry Cyrus? I apologize for not keeping track of the females on the forum.
 
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  • #68
You never worked with the calculations I put in bold?

Thats impossible to believe. Let me know what bridges I should avoid driving on in the near future.

I hope your bridge does not have any air flow over it, oscillations, or possibly resonance. I also hope you can do calculations on the Molecular Forces and Solid Materials that will make up the bridge.


Tisk tisk tisk.

Certainly, I recognize many of the things listed, but have never worked with their
calculations. I'm afraid I'm more of the practical variant of engineer.

They call those construction workers. Dont be one of those, be an engineer.

Why so angry Cyrus?

Because I hate this false notion that engineering is some BS hands on practical nonsense. Its hands on after you have done the hard theory. Its the 'practical variant of engineering' that builds stuff that kills people.

Sorry, but it annoys me to no end when students make comments about not knowing something as if it does not matter. Statements like this:

Is it bad that I'm a junior in engineering and don't know half the **** that he listed?

Shows me you don't care about knowledge.
 
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  • #69
Cyrus said:
You never worked with the calculations I put in bold?

Thats impossible to believe. Let me know what bridges I should avoid driving on in the near future.

I hope your bridge does not have any air flow over it, oscillations, or possibly resonance. I also hope you can do calculations on the Molecular Forces and Solid Materials that will make up the bridge.


Tisk tisk tisk.

:smile:
 
  • #70
Cyrus said:
You never worked with the calculations I put in bold?

Thats impossible to believe. Let me know what bridges I should avoid driving on in the near future.

I hope your bridge does not have any air flow over it, oscillations, or possibly resonance. I also hope you can do calculations on the Molecular Forces and Solid Materials that will make up the bridge.


Tisk tisk tisk.



They call those construction workers. Dont be one of those, be an engineer.



Because I hate this false notion that engineering is some BS hands on practical nonsense. Its hands on after you have done the hard theory. Its the 'practical variant of engineering' that builds stuff that kills people.

Sorry, but it annoys me to no end when students make comments about not knowing something as if it does not matter. Statements like this:



Shows me you don't care about knowledge.

Sorry I misled you to believe that. I care quite a bit about knowledge and will be one of the first to argue when I overhear someone saying that engineers are 'trained on the job'. Not so much about the theory of relativity, however. Oscillations, resonance. I've done some class-based work on those topics.
Again, I'm only a sophomore in my major, and have plenty of civil classes, and otherwise, to experience.
I certainly would not say that I "don't care", as that is not the case at all.
 
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