Advanced Mathematics

Course:

Third

Subject Code:

145005501

Number of credits:

6 ECTS

Type:

Mandatory in corresponding speciality

Semester:

Fifth

Hours per week:

4

Practices:

No

Speciality:

Aerospace Science and Technology (CTA)

Course Content

  • Theme 1. Complex variable
    • Integration in the complex field
    • Taylor and Laurent Theorems
    • Residues theory
  • Theme 2. Integral transforms
    • Fourier transform
    • Laplace transform
    • Z transform
    • Laplace operational method. Stability of linear systems
  • Theme 3. Advanced differential equations
    • Ordinary differential equations with analytic coefficients. Boundary value problems in ODEs
    • Resolution of PDEs by integral transforms and separation of variables methods
  • Topic 4. Difference equations
    • Definition and properties
    • Linear difference equations. Resolution through Z transform