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