Content Preview: rss
662 days ago
BASIC MATHEMATICS · Basic Algebra: Logarithms and exponentials, exponents (e.g. ( x n ) m = ?, e x e z = ?), functions/graphs, quadratic equation (e.g. y = a x + b x 2 + c) and solutions. · Basic Matrix Algebra: Vector and matrix addition/multiplication, inverse of a matrix and solution of set of linear equations AX = b (e.g. linear dependence and independence). · Basic Calculus: Derivative of functions and ‘rules’ of differentiation (e.g. y = x 2 /lnx, calculate dy/dx), unconstrained maximisation/minimisation, find max or min of y = 2-2 x + 4x 2 ). Taylor series expansion (e.g. e x » 1 + x + x 2 /2). Partial differential (e.g. find ¶ y/ ¶ x if y = 3x 2 + x z + 4 x 2 z 2 ). Rules of logarithms (e.g. ln( x /y) = lnx – lny). Maximisation subject to constraints (Lagrangean). Elementary integration (e.g. integrate, 1/ x 4 from x = 1 to x = 4). Solution of 1 st ...
