The module investigates concepts of mathematical functions. It aims at equip students with knowledge on functions of several variables, functions of complex variables; ordinary differential equations (ODE) and their applications. The model includes limit, continuity and differentiability; partial derivative; Taylor’s formula; directional derivative and gradient; multiple integrals (double, triple, line integrals)) for function of several variables, complex function, Ordinary differentials equations of first and second order and their applications.