EM 224 - Mathematical Analysis IV (Análise Matemática IV) Line integral of scalar and vector functions. Independence of path. Work done by a force. Green’s Theorem. Surface integral. Area of a surface, mass, center of gravity, centroid and moment of inertia. Flux integral. Theorems of Stoke´s and Gauss. FOURIER ANALYSIS Fourier Series. Euler formulas and “method of jumps”. Even and odd functions, half-range expansions. Approximation by trigonometric polynomials and minimum square error. Fourier Integral. PARTIAL DIFFERENTIAL EQUATIONS Equations of first order. General solution of linear equations. Surfaces orthogonal to a family of surfaces. Second order equations. Solution by the method of factorization for homogeneous partial differential equations with constant coefficients. The wave equation: D’Alembert solution and separation of variables. The heat equation. <<<<<<<<<<  BACK  <<<<<<<<<<