Teaching GuideTerm 2019/202021/222020/212018/192017/182016/172015/162014/152013/142012/132011/122010/112008/092009/10 Faculty of Economics and Business
 Grao en Administración e Dirección de Empresas Subjects Mathematics II Learning aims
 Learning outcomes Study programme competences Identify the notable sets of a subset of IRn. A8A11 Understand the basic concepts of the euclidean space IRn. A8A11 Determine if a set is open, closed, bounded, compact and convex. A8A11 Understand the concept of function of several variables. A8A11 Draw the level set of a function of two variables. A8A11 Understand the concept of continuous function. A8A11 Determine if a function is continuous or not. A8A11 Recognize a linear function. A8A11 Recognize a quadratic form. A8A11 Classify a quadratic form by examining the signs of the principal minors. A8A11 Classify a constrained quadratic form. A8A11 Calculate and interpret partial derivatives and elasticities. A4A8A11 B1B2B5B10 C1C7 Find the Taylor polynomial of a function. A8A11 Calculate the partial derivatives of a compounded function. A8A11 Use the existence theorem to analyze if a equation defines an implicit real function. A8A11 Find the partial derivatives and elasticities of an implicit function, and interpret them. A8A11 Analyze the concavity/convexity of a function. A8A11 Formulate mathematical programming problems. A3A4A6A8A9A10A11 B1B2B3B4B5B10 C1C4C5C6C7C8 Distinguish between local and global optima. A8A11 Graphically solving an optimization problem A8A11 B3 Analyze the existence of global optima using the Weierstrass theorem. A8A11 Find the critical points of a function of several variables. A8A11 Classify the critical points using the second-order conditions. A8A11 Determine the local or global character of the optima of an unconstrained problem. A8A11 Formulate economic problems as mathematical programs with equality constraints. A8A11 Find the critical points of a mathematical program with equality constraints. A8A11 Classify the critical points and interpret the Lagrange multipliers. A8A11 Determine the local or global character of the optima of an equality-constrained problem. A8A11 Know the structure and basic properties of a linear program. A8A11 Formulate simple economic problems as linear programs. A3A4A8A11A12 B1B2B3B4B5B10 C1C4C6C7C8 Solve linear programs by the simplex algorithm. A3A4A6A8A9A11 B1B2B3B4B5B10 C1C4C5C6C7C8
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