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Diagonostic questions for EMA 3413

# Diagonostic questions for EMA 3413 - Diagnostic topics for...

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Diagnostic topics for EMA 3413 Calculus and general math Limits lim 1/x (x->+infinity), lim exp(-x) (x->+infinity) Differential d/dx (x), d/dx (exp(x)), d/dx (1/(a*x+b)), d/dx (f(x)+g(x)), d/dx (f(x)*g(x)) integration Int (x), Int(exp(x)), Int(exp(alpha*x)), Int(1/(a*x+b)), Int(f(x)+g(x)) trigonometric functions (draw a triangle) Sin(alpha) = x/r, cos(alpha) = y/r, tan(alpha) = 1/cot(alpha) = x/y, sin^2(alpha) +cos^2(alpha) = 1; tan(alpha) = sin(alpha)/cos(alpha); Sin(a+-b) = …; cos(a+-b) = …; Taylor expansion Complex numbers A+Bi = C+Di (A,B,C,D all real) A=C and B=D Exp(i*alpha) = cos(alpha) + i*sin(alpha) Vectors and coordinate systems Vector summation and subtraction Gradient, divergent, curl Fourier transformation (Partial) differential equations General solution Boundary and initial conditions Physics atomic structure and atomic number electronic configuration C (Z=6): 1s2 2s2 2p2; Si (Z=14): 1s2 2s2 2p6 3s2 3p2; Ge (Z=24): 1s2 2s2 2p6 3s2 3p6 3d10 4s2 4p2 periodic table of elements

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Diagonostic questions for EMA 3413 - Diagnostic topics for...

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