29145 - Integrational Elements of Mathematical Analysis L

Academic Year 2023/2024

  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in Chemical and Process Engineering (cod. 8896)

Learning outcomes

The course will enable the students to learn the basic mathematical tools concerning with Fourier series and Fourier and Laplace transforms (via the knowledge of some basic functional and complex Analysis); applications to ODEs and PDEs will also be considered.

Course contents

Fourier Series:

Main definitions; Fourier series convergence theorems for a periodic function.

Holomorphic function (outcome).

Laplace transform:

Main definitions concerning the Laplace transform; Convergence domain. Calculation rules. Application to Linear ODEs.

The method of characteristics for first order PDE's.

Readings/Bibliography

G.C. Barozzi, Matematica per l'informazione, Zanichelli

Teaching methods

The course consists of theoretical lessons at the blackboard.

Assessment methods

The exam consists ONLY of a written examination (2 hours 30 minutes) in which the student will be asked to solve a few exercises and, possibly, to answer to theoretical questions.

Note: the student is allowed to register to a written examination even in case of failure in the previous exam.

Dates: 3 exams in January/February, 1 in June, 1 in July and 1 in September.

Use Almaesami to book for the examination dates and pay attention to register in the proper time.

Teaching tools

Additional material on the website Virtuale.

Office hours

See the website of Andrea Bonfiglioli