Mathematical Physics 1
A.Y. 2018/2019
Learning objectives
1.Introduction to qualitative theory of differential equations.
2.The Classical mechanics as formulated by Newton.
3.The Lagrangian formalism in Classical Mechanics.
4.Some particularly interseting models in Mechanics.
2.The Classical mechanics as formulated by Newton.
3.The Lagrangian formalism in Classical Mechanics.
4.Some particularly interseting models in Mechanics.
Expected learning outcomes
How to study a problem in the framework of Classica Mechanics using the Newtonian and the lagrangian formalism.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
Course syllabus
1. Introduction to differential equations. The existence and uniqueness of solutions. The majorants method of Cauchy. Equilibrium solutions; linear approximation and stability. The theorem of Lyapounov on stability.
2. The mechanics of Newton. The fundamental laws. Classical forces. Cardinal equations. The problem of Kepler.
3. The Lagrangian formalism Generalized coordinates. The Lagrange's equations. Small oscillations. Symmetries and conservation laws.
4. Introduction to the classical equation of mathematical physics. The equation of the string; the problem of Dirichlet.
2. The mechanics of Newton. The fundamental laws. Classical forces. Cardinal equations. The problem of Kepler.
3. The Lagrangian formalism Generalized coordinates. The Lagrange's equations. Small oscillations. Symmetries and conservation laws.
4. Introduction to the classical equation of mathematical physics. The equation of the string; the problem of Dirichlet.
MAT/07 - MATHEMATICAL PHYSICS - University credits: 6
Practicals: 22 hours
Lessons: 36 hours
Lessons: 36 hours
Professors:
Paleari Simone, Penati Tiziano
Professor(s)
Reception:
Contact me via email
Office 1039, 1st floor, Dipartimento di Matematica, Via Saldini, 50
Reception:
to be fixed by email
office num. 1039, first floor, Dep. Mathematics, via Saldini 50