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Tyrion101
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I'm finishing up "intermediate algebra" and want to supplement the "college algebra " class that is focused more on business type math, with things I'll see later. What should I be concentrating my energies on learning?
Tyrion101 said:We'll I thought it obvious that since I asked in the EE forum that I was looking for equations specific to EE. Was I wrong in my logic?
Tyrion101 said:I'm finishing up "intermediate algebra" and want to supplement the "college algebra " class that is focused more on business type math, with things I'll see later. What should I be concentrating my energies on learning?
Tyrion101 said:We'll I thought it obvious that since I asked in the EE forum that I was looking for equations specific to EE. Was I wrong in my logic?
Tyrion101 said:I'm just about to finish up my second semester of math, and I found out the next class I signed up for focuses more on business than on science, but still works as a pre rec (I had schedule conflicts with the other choice) I was wondering if there were equations in "college algebra" or in any other maths that I could learn on my own that might be skipped that would be useful later when I get to EE courses. Does that make more sense?
Tyrion101 said:It's a long story.
The most basic equations every scientist should know are the equations for linear motion (d = vt), Newton's second law (F = ma), and the equation for work (W = Fd).
The most important equations for understanding electricity and magnetism are Ohm's law (V = IR), Gauss's law (Φ = q/ε₀), and Faraday's law (ε = -N ΔΦ/Δt).
The essential equations for studying thermodynamics are the first law of thermodynamics (ΔU = Q - W), the ideal gas law (PV = nRT), and the Carnot cycle equation (η = 1 - Tc/Th).
The key equations for understanding quantum mechanics are the Schrödinger equation (iħ ∂/∂t ψ = Ĥψ), the Heisenberg uncertainty principle (ΔxΔp ≥ ħ/2), and the wave function normalization equation (∫|ψ(x)|² dx = 1).
The important equations for studying general relativity are Einstein's field equations (Gᵐⁿ = 8πTᵐⁿ), the Schwarzschild metric (ds² = -(1-2GM/rc²)dt² + dr²/(1-2GM/rc²) + r²dΩ²), and the geodesic equation (d²xᵐ/dτ² + Γᵐⁿˢ dxⁿ/dτ dxˢ/dτ = 0).