- Docente: Luca Ferrari
- Lingua di insegnamento: Inglese
- Modalità didattica: Convenzionale - Lezioni in presenza
- Campus: Bologna
- Corso: Laurea Magistrale in Quantitative finance (cod. 8854)
Conoscenze e abilità da conseguire
At the end of the course the student knows the basics of mathematics: the notion of function and its related concepts (limits, derivative, integration). Furthermore the student learns how to solve basic differential equations.
Contenuti
Introduction to Real Analysis
Sets and functions
Proofs by induction
Finite and infinite sets
Countable and uncountable sets
Supremum and infimum
Completeness property of R
Density of Q in R
Nested intervals
Sequences and their limits
Bounded and monotone sequences
Subsequences
Neighbourhood of a point
Interior, boundary, cluster and isolated points
Open and closed sets
Compact sets
Continuous functions
Infinite series
Differential equations: an introduction
Separable equations
First-order linear equations
Initial value problems
Testi/Bibliografia
Robert G. Bartle and Donald R. Sherbert, Introduction to Real Analysis, Wiley & Sons.
J. David Logan, A first course in differential equations, Springer.
David C. Lay, Linear algebra and its applications, Addison-Wesley.
Many exercises are available on IOL.
Metodi didattici
Lectures.
Modalità di verifica e valutazione dell'apprendimento
Final test at the end of the course. The test is optional but strongly recommended.
Link ad altre eventuali informazioni
https://iol.unibo.it/course/view.php?id=22808
Orario di ricevimento
Consulta il sito web di Luca Ferrari