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Teaching GuideTerm Higher Polytechnic University College |
| Grao en Enxeñaría Naval e Oceánica |
 Subjects |
| Mathematics 2 |
| Contents |
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| Identifying Data | 2022/23 | |||||||||||||
| 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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