Math (Advanced Math)

log functions of complex numbers

solve exponential complex numbers

principal roots

trigo and hyperbolic functions

inverse trigo and inverse hyperbolic functions of a complex number

do the trigo and inverse trigo process on choices to get the approximate values

determinant

4x4 matrix

4x4 determinant pivotal method

det(MatA-MatBMatC)

transpose matrix

Trn(MatA)

cofactor of an entry in a square matrix

or use -det(MatA)

cofactor matrix

det(MatA)xTrn(MatA)^-1

adjoint matrix

Trn(det(MatA)xTrn(MatA)^-1)

inverse matrix

(MatA)^-1

unit vector

resultant vector

dot product between two vectors

vector projection and scalar projection

cross product of vectors

VctA x VctB

angle between two vectors

Abs(A)xAbs(B)cosθ for dot product and Abs(A)xAbs(B)sinθ for cross product

unit vector perpendicular to A and B

concept of vector direction

if not minus then plus

special applications of vector products

use vector

divergence and a curl of vector

just derive

laplace transform

taylor series and maclaurin series