66698 - Mathematical Analysis Complements

Course Unit Page

SDGs

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.

Quality education

Academic Year 2018/2019

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