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.
  • #51
leright said:
If you truly know all of the things you say you know, then you make me feel quite stupid, and I am a senior double major in electrical engineering and physics.

This is a clear sign of the jealousy that's been shown in this thread. You've obviously never known someone who is far more intelligent than yourself, and thus see this as a threat and so rather than encouraging ElNino, you're just trying to throw your credentials around (something we could all do, if we felt like it!)


ElNino, the last post by Cyrus is good advice: talk to someone at a local university. Most departments have outreach staff, or admissions tutors, who would be happy to talk to you.
 
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  • #52
cristo said:
This is a clear sign of the jealousy that's been shown in this thread. You've obviously never known someone who is far more intelligent than yourself, and thus see this as a threat and so rather than encouraging ElNino, you're just trying to throw your credentials around (something we could all do, if we felt like it!)


ElNino, the last post by Cyrus is good advice: talk to someone at a local university. Most departments have outreach staff, or admissions tutors, who would be happy to talk to you.

Cristo, I'm not jealous. I am just pointing out that she knows far more than a senior physics/EE major and that's great.

ElNino, don't take offense to my comments. I think it's great that you're going out of the way to learn all of this stuff as a high school student. Yeah, I would definitely contact a professor.
 
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  • #53
There's a guy in my year like you ElNino, he knows all this advanced stuff, 3rd year level stuff, maybe higher, but he still has to go through every year like the rest of us. I don't know if it's the same for America though.
 
  • #54
That's not good at all. I'm 15 and I've done more than you. Shame on you.
 
  • #55
Hey guys...I spoke to an admissions counselor today who basically said that if should focus on getting my work first reviewed and then certified by someone outside my school. Perhaps contact a university professor who has the time to go through my work. The counselor went through a lot of it as well. But he wasnt too into Physics...

He said that if I can get it certified and then get a review of my work by a certified professor I could submit these materials to a university and apply for special case admissions or something. He said that some universities don't actually need to me get a GED or equivalent to apply. And if I finish my SATs in the next few months I could enroll in college sometime this year rather than wait till the end of 2009...

Anyway thank you guys. I am quite surprised. Big change in my life if all goes according to plan! Anyway thank you SO much...just thought I'd let you guys know how it turned out!
 
  • #56
That's great! I would hate to see school get in the way of your education. :)
 
  • #57
ElNino said:
Hey guys...I spoke to an admissions counselor today who basically said that if should focus on getting my work first reviewed and then certified by someone outside my school. Perhaps contact a university professor who has the time to go through my work. The counselor went through a lot of it as well. But he wasnt too into Physics...

He said that if I can get it certified and then get a review of my work by a certified professor I could submit these materials to a university and apply for special case admissions or something. He said that some universities don't actually need to me get a GED or equivalent to apply. And if I finish my SATs in the next few months I could enroll in college sometime this year rather than wait till the end of 2009...

Anyway thank you guys. I am quite surprised. Big change in my life if all goes according to plan! Anyway thank you SO much...just thought I'd let you guys know how it turned out!

When you write a textbook, I want it to say:

"Dedicated to Cyrus"

on the cover.
 
  • #58
Sometimes high schools will allow students to take college-level courses to count toward their high school graduation requirements, and they'll also count toward their college coursework too. A person in my schools as a kid did that...he was "the kid" in our high school classes (several years younger than the rest of us) and when the school ran out of math classes for him, they enrolled him in classes at the local university, even provided transportation for him).

Here's the downside, and the reason I earlier mentioned the neglect of your other classes...he ended up majoring in physics at Princeton, and in his senior year, realized how much he HATED the subject. He was great at it, but hated it. Go figure...the subject you enjoy in high school may not be the one you enjoy later in life, even if you're great at it. He ended up getting a Ph.D. in linguistics, and was MUCH happier.

So, while these are the subjects you enjoy now, I caution you again not to shortchange yourself in your other subjects...you never know how your interests might change in the future.
 
  • #59
I don't recognize many of the concepts presented above. Except of course, the basic physics-with-calculus concepts. I'm certain the rest will be touched on later in my curriculum.

Don't things like relativity belong more in a physics setting, though?
 
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  • #60
carstensentyl said:
Is it bad that I'm a junior in engineering and don't know half the **** that he listed?

Seriously, yes it is. And its not a he, its a she.
 
  • #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
 
  • #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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