Syllabus
Line integral of scalar and vector field, vector potential, field with zero curl.
Surface integral of scalar and vector field, Gauss-Green's theorem, Stokes‘ theorem. Integral form of divergence and curl.
Fourier series, Bessel’s inequality, Parseval’s identity. Differentiation and integration of Fourier series.
Fourier transformation of functions, Fourier inversion theorem, applications.
Eigenvalues and eigenvectors of matrices, characteristic polynomial.
Jordan normal form, basis of the eigenspace.
Annotation
The third semester of the four-semester course on Applied Mathematics. Vector calculus.
Fourier series and Fourier transformation. Eigenvalues and eigenvectors of matrices.