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Linear differential equations: Existence and uniqueness of solutions, linear independence and Wronskians, solution of homogeneous equations, particular solutions of nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, applications.
(1 1/2 weeks) 4.Solutions in power series: Power series, solution of differential equations in power series, regular singular points, method of Frobenius, numerical solutions.
3.
Extrria of functions of several variables; extrema under constraints (Lagrange multipliers method); application of Lagrange multipliers method (1 1/2 weeks).
3fld surface integrals; simply or multiply connected regions; ...
Allowed
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