33507 - Crash Course in Mathematics

Academic Year 2018/2019

  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: First cycle degree programme (L) in Business and Economics (cod. 8965)

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