COMPLEMENTARY PRINCIPLES OF MATHEMATICAL ANALYSIS
Academic year and teacher
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- Versione italiana
- Academic year
- 2022/2023
- Teacher
- OSCAR ASCENZI
- Credits
- 6
- Didactic period
- Primo Semestre
- SSD
- MAT/05
Training objectives
- Aim of the course is to provide the basic tools of Ordinary differential equations with constant coefficients and linear partial differential equations. Heat equation, wave equation.
Prerequisites
- Basic course of Analysis and Geometry
Course programme
- Complex Numbers. Ordinary equation with constant coefficients.Series of functions. Fourier series. Laplace transform. Laplacian in polar coordinates.
Solution of the heat equation and wave in an interval and the solution of the heat equation on the half-line. Didactic methods
lecturesLearning assessment procedures
- Written exam for written exercises and theory.
Reference texts
- M. Bramanti, C. D. Pagani, S. Salsa: "Matematica -- Calcolo
infinitesimale e algebra lineare", Zanichelli, seconda edizione, 2004.
Handouts distributed by the teacher.