Mathematical Methods

Course:

Second

Subject Code:

145003001

Number of credits:

6 ECTS

Type:

Mandatory

Semester:

Third

Hours per week:

4

Practices:

No

Speciality:

Common to all specialties

Course Content

  • Theme 1. Ordinary differential equations (ODEs)
    • Elementary methods of resolution
    • Cauchy problem. Existence and uniqueness
    • Linear systems. Fundamental matrix
  • Theme 2. Partial differential equations (PDEs)
    • First and second order PDEs
    • Wave equation. Laplace and Poisson equations
    • Heat equation
    • Fourier series
    • Separation of variables. Applications
  • Theme 3. Complex variable
    • Complex functions. Continuity, differentiation and analyticity
    • Integration in the complex field