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resources:roadmaps:traditional [2017/12/10 11:37] jakobadmin |
resources:roadmaps:traditional [2018/05/05 17:18] (current) jakobadmin ↷ Page moved from roadmaps:traditional to resources:roadmaps:traditional |
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- | ====== The Traditional Roadmap====== | + | ====== Traditional Roadmap====== |
+ | |||
+ | Most universities follow the traditional roadmap, which follows the historical "order" of the theories. | ||
- | Most universities follow the traditional roadmap, which is modeled after the historical developments of the different theories. | ||
+ | ===== Theoretical Physics ===== | ||
<diagram> | <diagram> | ||
- | | Classical Mechanics|~@2| kinematics, forces, circular motion, energy, momentum, rotations, harmonic motion, Newton's laws | | + | | Classical Mechanics|~@2| kinematics, forces, circular motion, energy, momentum, rotations, harmonic motion, Newton's laws, Lagrangian Mechanics, Hamiltonian Mechanics, phase space, configuration space | |
| |!@4| | | | | | | | |!@4| | | | | | | ||
| Electrodynamics |~@2 | Coulomb's Law, electric circuits, Maxwell's equations | | | Electrodynamics |~@2 | Coulomb's Law, electric circuits, Maxwell's equations | | ||
Line 15: | Line 17: | ||
| Quantum Field Theory|~@2 | Klein-Gordan equation, Dirac equation, second quantization, scattering theory, path integral formalism | | | Quantum Field Theory|~@2 | Klein-Gordan equation, Dirac equation, second quantization, scattering theory, path integral formalism | | ||
| |!@4| | | | | | | | |!@4| | | | | | | ||
- | | General Relativity|~@2 | Einstien equation, Schwarzschild metric| | + | | General Relativity|~@2 | Einstein equation, Schwarzschild metric| |
+ | </diagram> | ||
+ | ===== Mathematics ===== | ||
+ | |||
+ | There are several math topics that are usually learned parallel to the theories: | ||
+ | |||
+ | <diagram> | ||
+ | | Classical Mechanics|~@8| trigonometric functions, differential calculus, integral calculus, differential equations, variational calculus, Legendre transforms| | ||
+ | | |!@4| | | | | | | ||
+ | | Electrodynamics |~@8 | vector calculus, complex numbers, systems of linear equations, linear algebra, Fourier transforms | | ||
+ | | |! |!@4 | | ||
+ | | |!| Special Relativity | ~@8 | group theory| | ||
+ | | |!@4| | | | | | | ||
+ | | Quantum Mechanics|~@8 | Hilbert spaces, special functions | | ||
+ | | |!@4| | | | | | | ||
+ | | Quantum Field Theory|~@8 | Taylor approximations, distributions, Greens functions | | ||
+ | | |!@4| | | | | | | ||
+ | | General Relativity|~@8 |differential geometry| | ||
</diagram> | </diagram> | ||
- | In addition, there are additional topics that are often covered in experimental physics courses. | + | ===== Experimental Physics ===== |
+ | |||
+ | In addition, there are other topics that are often covered in "experimental physics" courses: | ||
* Optics | * Optics | ||
* Waves | * Waves | ||
* Nuclear Physics | * Nuclear Physics | ||
+ | |||