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