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...Mt advanced calculus fourier analysis partial differential equation basic concepts and formation of equations linear homogeneous relations to ordinary solution first order special types second higher d alembert s the wave two dimensional lagrange various standard forms series periodic functions expansion in coefficients function with arbitrary periods odd even their half range expansions oft fft spectrum advance define a stationary point several variables local maximum saddle for points obtain derivatives simple or more iterated integrals double triple integrations applications area centoroid moment inertia surface volume use multiple solutions engineering problems vector operator directional derivative gradient divergence curl field laplacian operators solenoid conservative etc evaluate line along paths apply calculate work done green theorem plane examples over jacobian transform problem new coordinate system gauss stokes recommended books mathematics erwin kreyszig seven edition ana...