00013 - Mathematical Analysis

Academic Year 2012/2013

  • Docente: Paola Olivo
  • Credits: 10
  • SSD: MAT/05
  • Language: Italian
  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: First cycle degree programme (L) in STATISTICAL SCIENCES (cod. 8054)

Course contents

Property of real numbers .Combinatory.

Sets, Relations, Functions.

Sequences and Series in R.

Functions of a real variable: property and operations. Limits. Elementary functions.

Continuity, algebra of continuity.

Definition and basic properties of the derivative; derivation rules; derivative of elementary functions. Differentials.

Grafic of function.Local extrema; convexity, inflexion points.

Taylor's formula.

Definition and basic properties of the Riemann integral.

Primitive. Integration by parts, integration by substitution; integration of rational functions.

Readings/Bibliography

A.Guerraggio MATEMATICA -Pearson Ed.

Teaching methods

Lectures and exercises in the classroom.

Assessment methods

Preliminary written examination and oral examination.
The written examination can be divided in two parts, the first during the course, the second at the end.

Office hours

See the website of Paola Olivo