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Glossary
Semester (Sem)
1First Semester
2Second Semester
AAnnual course
Educational activities
CSimilar or integrative activities
Language
Course completely offered in italian
Course completely offered in english
--Not available
Innovative teaching
The credits shown next to this symbol indicate the part of the course CFUs provided with Innovative teaching.
These CFUs include:
  • Subject taught jointly with companies or organizations
  • Blended Learning & Flipped Classroom
  • Massive Open Online Courses (MOOC)
  • Soft Skills
Course Details
Context
Academic Year 2014/2015
School School of Industrial and Information Engineering
Name (Master of Science degree)(ord. 270) - MI (491) Materials Engineering and Nanotechnology
Track U2A - Surface Engineering
Programme Year 1

Course Details
ID Code 096240
Course Title MATHEMATICAL METHODS FOR MATERIALS ENGINEERING
Course Type Mono-Disciplinary Course
Credits (CFU / ECTS) 5.0
Semester First Semester
Course Description Introduction: mathematical modelling. Examples of partial differential equations. Well posed problems. Prerequisites: Surfaces and integral surfaces. The divergence theorem. Fourier series. Linear second order ordinary differential equations. Euler equation. Conservation Laws: pollution in a channel. Linear transport equation. Distributed source. Decay and localized source. Characteristics. Inflow and outflow. Diffusion: the diffusion equation. The heat conduction. Well posed problems. Separation of variables. Maximum principles and uniqueness. The fundamental solution. The Dirac distribution. The global Cauchy problem.. Duhamel's method. The Laplace Equation: : well posed problems and uniqueness. Harmonic functions and their properties. Separation of variables. Poisson's formula. The fundamental solution. The Newtonial potential. The Green function. Green's representation formula. Waves and Vibrations: : types of waves. Transverse waves in a string. The one dimensional wave equation. The global Cauchy problem. The d'Alembert formula. Domains of dependence and ranges influence. Duhamel's method. Second Order Lineas Equations: Classification. Characteristics.
Scientific-Disciplinary Sector (SSD)
Educational activities SSD Code SSD Description CFU
C
MAT/07
MATHEMATICAL PHYSICS
5.0

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--AZZZZDi Cristo Michele
manifesti v. 3.1.9 / 3.1.9
Area Servizi ICT
21/11/2019