Quote:
Originally Posted by Lightfuzz
I just have to learn the Binomial Theorem.
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I had to pick this one up by myself, so you actually doing good.
I thought about this some more and would like to add a few things regarding order of study:
High School
Order taught in High School (US)
Algebra - Geometry - *more* Algebra - Trigonometry - Analytic Geometry - Precalculus.
Biology - Chemistry - Physics
For Physics: Mechanics - Strings/Springs - Electricity & Magnatism - Thermodynamics - Statistical Mechanics - Modern Physics &/or Relativity (Special only).
University (Undergrad)
Mathematics: Calculus (3 courses: Derivatives, Integration, Sequences & Series, Multivariate Calculus, Vector Calculus, Calculus of Variations, etc) - Linear Algebra - Linear Analysis / Fourier Series - Real / Complex Analysis - Probability - Differential Geometry - Topology - Abstract Algebra (Groups / Rings / Fields / Galois Theory) - Tensor Analysis
Physics: Freshman Physics (3 courses: taught with Calculus as prerequesite; Mechanics - E&M - Thermo/SM - Optics - Modern Physics) - Electricity & Magnetism (incl Maxwell's Equations) - Modern Physics - Thermodynamics - Statistical Mechanics - Optics - Quantum Mechanics - (Electives: QCD, High Energy Physics, Solid State Physics, etc)
Astronomy: Freshman Astronomy (Survey), Observational Techniques, Astrophysics (Local - Solar System, Stellar, Galactic), Cosmology
University (Graduate)
Mathematics: Abstract Algebra (Groups, Rings, Fields), Real Analysis, Complex Analysis, Number Theory, Topology, Differential Geometry, etc (many more)...
From there it is mostly research... Lie Algebras, Quantum Groups, ....
Physics: Mechanics, E&M, Quantum Mechanics (QM), Quantum Field Theory (QFT), Solid State Physics, Quantum Electronics, Quantum Optics, Low Temperature Physics,
Superconductivity, High Energy Physics, etc (many more)...
I simplified where I could. Maybe this helps.
maddog
