Differential Equations

Cod: 21164

Department: DCET

Department: DCET

ECTS: 6

Scientific area: Mathematics

Scientific area: Mathematics

Total working hours: 156

Total contact time: 26

Total contact time: 26

This course presents the basic concepts and techniques of Differential Equations.

1. First Order Differential Equations

2.Higher Order Differential Equations

3. The Laplace Tranform

4. Systems of First Order Linear Equations

2.Higher Order Differential Equations

3. The Laplace Tranform

4. Systems of First Order Linear Equations

2. Higher Order Differential Equations: Homogeneous Equations with Constant Coefficients; Fundamental Solutions of Linear Homogeneous Equations; Nonhomogeneous Equations; Method of Undetermined Coefficients; Variation of Parameters; Modeling with Higher Order Equations

3. The Laplace Transform: Solution of Initial Value Problems; Differential Equations with Discontinuous Forcing Function.

4. Systems of First Order Linear Equations: Homogeneous Linear Systems; Fundamental Matrices; Nonhomogeneous Linear Systems.

E-Learning.

Continuous assessment is privileged: 2 or 3 digital written documents (e-folios) during the semester (40%) and a
presence-based final exam (p-folio) in the end of the semester (60%). In due time, students can alternatively choose to perform one
final presence-based exam (100%).

Recommended precedences: Elements of Infinitesimal Analysis II and Linear Algebra II.