MATHS FOR ECONOMICS - MODULE I
The aim of the course is to provide students with a base of knowledge of mathematics and a basic training in calculus to prepare the students for further study in mathematics and for gainful employment of mathematics in economic, financial and statistical fields.
Basic concepts of set theory. Equation of a straight line. Linear and quadratic equations and inequalities.
Functions: basic concepts; minimum and maximum, infimum and supremum; monotonic function; graph.
Functions: power and radix; exponential and logarithmic; absolute value; trigonometric and inverse trigonometric functions.
Limits: definition; theorems; continuity; evaluation of limits.
Differentiation: derivative; differentiation rules; higher-order derivatives.
Applications of differentiation: minimum and maximum evaluation; convexity; De L’Hospital rule; sketching graphs of functions.
Non-linear equations: bisection method.
Multivariate functions: basic concepts; partial derivatives; gradient; maximum and minimum of a function of two variables.
Linear algebra: vectors; matrices; matrix operations; determinant; rank; linear dependence; systems of linear equations; Gauss elimination method.
Integration: indefinite and definite integral; techniques of integration.
De Angelis P.L. (2015) Matematica di base. Giappichelli Editore, Torino
Lang S. (2002) Short calculus. Springer-Verlag, New York