Further techniques of mathematics needed in the physical sciences. Complex numbers and hyperbolic functions. Polar and spherical coordinates and coordinate transformations. Multiple integrals. Line and surface integrals. Vector calculus. The theorems of Gauss, Green and Stokes. Matrices. Determinants. Eigenvalues and eigenvectors. Fourier series and transforms including the convolution theorem. Differential equations. Exercise classes enable the students to learn practical approaches to problem solving while applying the concepts and techniques introduced in lectures.

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