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Lecturer:
Epifanio Giovanni Virga
Course name: Ordinary differential equations
Course code: 504234
Degree course: Ingegneria Edile-Architettura
Disciplinary field of science: MAT/05
L'insegnamento costituisce attività di base per: Ingegneria Edile-Architettura
University credits: CFU 6
Course website: n.d.
Specific course objectives
Course programme
Differential equations and models
- General terminology
- Pure time equations
- Mathematical models
- Separation of variables
- Autonomous differential equations
- Stability and bifurcation
Linear equations
- first-order linear equations
- Picard iteration
Second-order differential equations
- Particle mechanics
- Linear equations with constant coefficients
- The non homogeneous equation
- Variable Coefficients
- Cauchy-Euler equation
- Power series solutions
- Variation pf parameters
- Higher-order equations
Systems of differential equations
- Linear systems
- General solution
- Geometric behavior
- Linear orbits
- Nonlinear models
Linear systems and matrices
- Linearization and stability
- Matrices
- Two-dimensional linear systems
- The eigenvalue problem
- Stability
- Nonhomogeneous systems
- Three-dimensional systems
Nonlinear systems
- Linearization
- Periodic orbits
- The Poincare-Bendixson theorem
Course entry requirements
Course structure and teaching
Lectures (hours/year in lecture theatre): 60
Practical class (hours/year in lecture theatre): 20
Practicals / Workshops (hours/year in lecture theatre): 0
Suggested reading materials
Titolo del riferimento da modificare.
J. D. Logan. A first course in differential equations. Springer, New York, 2010. 2nd ed..
Titolo del riferimento da modificare.
Testing and exams
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