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Teaching GuideTerm Faculty of Science |
| Grao en Química |
 Subjects |
| Mathematics 2 |
| Contents |
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| Identifying Data | 2017/18 | |||||||||||||
| Subject | Mathematics 2 | Code | 610G01002 | |||||||||||
| Study programme |
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| Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
| Graduate | 2nd four-month period |
First | FB | 6 | ||||||||||
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| Topic | Sub-topic |
| • Functions of Several Variables. | o Graphs an Level Curves. o Polar Coordinates. Cylindrical and Spherical Coordinates. o Partial Derivatives. Differentiability and Gradient. o Directional Derivatives. Repeated Partial Derivatives. o The Chain Rule. The Jacobian Matrix. The Hessian. o Critical Points. Maxima and Minima. o Constrained Optimisation. Lagrange Multipliers. o Least Squares Analysis. |
| • Multiple Integrals. | o Repeated Integrals. Double Integrals. Triple Integrals. o Change of Variable in Multiple Integrals. o Curve Integrals. o Potential Function. o Green's Theorem. o Surface Integrals. o Stokes' Theorem. |
| • Ordinary Differential Equations. | o First Order Differential Equations. o Separable First Order Differential Equations. o Homogeneous equations. o Exact First Order Differential Equations. o Linear First Order Differential Equations. o Bernoulli Equations. o Applications of First Order Differential Equations. o Linear Differential Equations with Constant Coefficients. o The Method of Undetermined Coefficients. o Variation of Parameters. o Linear Systems with Constant Coefficients. |
| Descriptive Statistics | Univariate Descriptive Statistics Bivariate Descriptive Statistics Simple Linear Regression Analysis |
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