- Docente: Francesco Uguzzoni
- Credits: 12
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Physics (cod. 8007)
Course contents
Sets, relations, functions. Real and
complex numbers, R^n. infimum and supremum, completeness. The
induction principle. Limits of sequences,monotone
sequences. n-th roots, exponential, logarithm, circular
functions. Upper limit and theBolzano-Weierstrass theorem.
Topology of R^n. Limits of functions. Continuity and uniform
continuity. Compactness. Differential and integral calculus
forone-real-variable functions, Taylor formulas. Convessity,
local maxima and minima. Generalized integrals. Series. Sequences
andseries of functions, uniform convergence. Power
series.Taylor series. Ordinary differential
equations.
Readings/Bibliography
Ermanno Lanconelli, Analisi Matematica 1 e
2, Ed. Pitagora.
Enrico Giusti, Analisi Matematica 1 e 2,
Ed. Boringhieri.
Pagani, C.D.-Salsa, S., Analisi Matematica
1 e 2, Ed. Zanichelli.
Assessment methods
Written and oral examination
Office hours
See the website of Francesco Uguzzoni