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

  • Thread starter Thread starter ElNino
  • Start date Start date
  • Tags Tags
    Rate Work
Click For Summary
SUMMARY

The discussion centers on a 17-year-old student seeking feedback on their advanced knowledge in Physics and Mathematics, covering topics such as Fluid Dynamics, Differential Geometry, Electromagnetic Theory, and Quantum Mechanics. The student has self-studied extensively over two years and is preparing for college applications to prestigious institutions like MIT and Caltech. Forum members provide insights on comparing the student's knowledge to undergraduate physics majors, the importance of specialization, and the potential for undergraduate research opportunities.

PREREQUISITES
  • Understanding of advanced topics in Physics such as Fluid Dynamics and Quantum Mechanics.
  • Familiarity with Mathematical concepts including Differential Geometry and Number Theory.
  • Knowledge of Electromagnetic Theory and its applications.
  • Basic principles of undergraduate research and academic expectations in Physics programs.
NEXT STEPS
  • Research the curriculum of undergraduate Physics programs at institutions like MIT and Caltech.
  • Explore opportunities for undergraduate research and how to approach professors for assistance.
  • Investigate specialization options within Physics, focusing on areas of personal interest such as Fluid Dynamics or Quantum Mechanics.
  • Enhance writing skills to improve communication in academic settings and research proposals.
USEFUL FOR

High school students passionate about Physics and Mathematics, prospective college applicants, and individuals interested in pursuing advanced studies in these fields.

  • #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
 
Physics news on Phys.org
  • #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.
 
Last edited:
  • #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.
 
Last edited:
  • #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.
 
Last edited:

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 18 ·
Replies
18
Views
941
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 21 ·
Replies
21
Views
5K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 7 ·
Replies
7
Views
948
  • · Replies 4 ·
Replies
4
Views
1K
Replies
5
Views
3K