- Docente: Annamaria Montanari
- Credits: 6
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
-
Corso:
First cycle degree programme (L) in
Mathematics (cod. 8010)
Also valid for Second cycle degree programme (LM) in Mathematics (cod. 8208)
Course contents
Trigonometric polynomials, Fourier polynomials, Fourier series, Puncually convergence and uniformly convergence,
Gibbs phenomenon. Fejer series. Abel convergence, Poisson integral. Dirichlet problem for the Laplacian in the unit disc. Application to the heat equation. Complex Fourier series.
Hausdorff measure. Surface integral. Integration by parts in multiple integrals. Regular open sets. Divergence Theorem and applications. Stokes Theorem and applications
Readings/Bibliography
Apostol:, Mathematical Analysis, second Edition. Addison-Wesley Publishing Company
Teaching methods
Lectures
Assessment methods
Colloquium
Teaching tools
blackboard
Links to further information
http://www.dm.unibo.it/~montanar/
Office hours
See the website of Annamaria Montanari