33507 - Crash Course in Mathematics

Course Unit Page

Academic Year 2018/2019

Learning outcomes

The course is intended for undergraduate students at first year of their studies in Business and Economics. The aim of this course is to provide a basic knowledge of mathematical tools required for the first-year course of Mathematics.

Course contents

Basic concepts:, Sets,Numbers, Intervals of Real Numbers, algebraic expressions, factorisation, algebraic fractions, polynomials, radicals.

Equations: linear equations, second order equations, higher order equations, absolute value and rational equations.

Inequalities: linear inequalities, second order, systems of inequalities.

Elementary functions of a real variable: domain, codomain, monotonicity , injectivity, surjectivity, inverse function.

Exponentials and logarithms: basic formulas, functions, equations and inequalities.

Cartesian Geometry: coordinates, basic formulas, functions, lines, conic sections and inequalities.

Trigonometry: basic formulas, functions, equations and inequalities.

Graph of functions of a real variable.

Topology (basic concepts).

 

Readings/Bibliography

Essential Mathematics for Economic Analysis (Knut Sydsaeter, Peter Hammond and Arne Strom, 4th Edition, Pearson 2012)

Teaching methods

Traditional lectures 

Office hours

See the website of Marzia Dalla Venezia