Vladivostok: Dalnevost . Un-ta, 2005. - 419 s. (part 1 - 224 s.) ; part 2 - 195 s. ). The textbook displays differential equations in partial derivatives that model various physical processes, and describes the classical methods of solving initial boundary problems for the main equations of mathematical physics. The manual is written on the basis of the methodology of mathematical modeling. Much attention is paid to both the presentation of strict mathematical methods for solving problems of mathematical physics and the physical analysis of the solutions obtained. The book can be useful for mathematicians, physicists, as well as specialists interested in applied questions of the theory of differential equations. Part 1.