Calculus and algebra;

Functions of one variable: limits, continuity, differentiation and integration; common functions and inverse functions; mean value theorem; Taylor and Mclaurin expansions.Functions of two variables: limits, continuity and differentiation.

Vectors: dot, cross and mixed products; geometrical problems: line, planes. Matrices: definitions, properties, solution of linear equations. Complex numbers: polar representation.

Ordinary differential equations: first order equations, separation of variables, equations with homogeneous coefficients, integrating factors; second order linear differential equations and their general solution, second order equations qith constant coefficients, undetermined coefficients, variation of parameters.

The Laplace transform: transforms of elementary functions, step functions, derivatives of transforms, the inverse transform, shift theorems.