Teaching GuideTerm Higher Polytechnic University College |
Grao en Enxeñaría Naval e Oceánica |
Subjects |
Mathematics 2 |
Contents |
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Identifying Data | 2019/20 | |||||||||||||
Subject | Mathematics 2 | Code | 730G05005 | |||||||||||
Study programme |
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Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
Graduate | 2nd four-month period |
First | Basic training | 6 | ||||||||||
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Topic | Sub-topic |
Sets and functions in R^n | Scalar and vector functions. Level sets. Continuity. Continuity in compact sets. |
Differential Calculus | Directional derivative. Partial derivative. Differential of a function. Gradient vector. Jacobian matrix. Higher order derivatives. Introduction to vector calculus. Taylor polynomial for scalar functions. Critical points. Hessian matrix. Conditional extreme values. Lagrange multipliers. |
Integral Calculus. | Double integrals. Triple integrals. Change of variables. Applications to the computation of areas and volumes. |
Differential Geometry | Parameterized curves and line integrals. Integrals of vector functions. Gradient functions and conservative vector fields. Green's theorem. Parameterized surfaces. Rotational and divergence. Surface integrals. Stokes theorem. Divergence theorem. |
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