This course introduces fundamental concepts and techniques in vector analysis, numerical and Fourier series, and integral transforms. It begins with scalar and vector fields, gradient, divergence, curl, Laplacian, scalar and vector potentials, and line and surface integrals, including Green’s, Stokes’ and Ostrogradsky’s formulas and the conditions for path independence. The course then covers numerical and power series, followed by Fourier series, with emphasis on their fundamental properties and applications. Finally, it introduces the Fourier and Laplace transforms, providing essential tools for the analysis and solution of mathematical and applied problems.
- Créateur de cours: FAIZA ZAAMOUNE