Guia docente 2023_24
Facultad de Ciencias del Mar
Grado en Ciencias del Mar
 Subjects
  Mathematics: Mathematics II
   Contents
Topic Sub-topic
Line integrals. Conservative fields. Regular curves. Integral along a curve. Work done by a field. Conservative fields. Curl. Divergence.
Double integration. Surfaces. Integration in rectangles. Integration in general areas. Change of variable. Polar coordinates. Green's Theorem. Parametric and regular surfaces. Orientation of a surface.
Surface integrals. Triple integration. Flow rate. Stoke's theorem. Triple integrals. Spherical and cylindrical coordinates. Gauss' Theorem.
First order differential equations. Solution of a differential equation. Separable equations. Exact equations. Linear equations.
Higher order linear differential equations. N-order linear equations. Solutions.Second-Order Equations with Constant Coefficients. General solution to a homogeneous equation. Particular solution to a complete equation.
Laboratory topics Integration and differential equations problem solving using computer software.
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