Teaching GuideTerm
Faculty of Economics and Business
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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. A8
A11
Understand the basic concepts of the euclidean space IRn. A8
A11
Determine if a set is open, closed, bounded, compact and convex. A8
A11
Understand the concept of function of several variables. A8
A11
Draw the level set of a function of two variables. A8
A11
Understand the concept of continuous function. A8
A11
Determine if a function is continuous or not. A8
A11
Recognize a linear function. A8
A11
Recognize a quadratic form. A8
A11
Classify a quadratic form by examining the signs of the principal minors. A8
A11
Classify a constrained quadratic form. A8
A11
Calculate and interpret partial derivatives and elasticities. A4
A8
A11
B1
B2
B5
B10
C1
C7
Find the Taylor polynomial of a function. A8
A11
Calculate the partial derivatives of a compounded function. A8
A11
Use the existence theorem to analyze if a equation defines an implicit real function. A8
A11
Find the partial derivatives and elasticities of an implicit function, and interpret them. A8
A11
Analyze the concavity/convexity of a function. A8
A11
Formulate mathematical programming problems. A3
A4
A6
A8
A9
A10
A11
B1
B2
B3
B4
B5
B10
C1
C4
C5
C6
C7
C8
Distinguish between local and global optima. A8
A11
Graphically solving an optimization problem A8
A11
B3
Analyze the existence of global optima using the Weierstrass theorem. A8
A11
Find the critical points of a function of several variables. A8
A11
Classify the critical points using the second-order conditions. A8
A11
Determine the local or global character of the optima of an unconstrained problem. A8
A11
Formulate economic problems as mathematical programs with equality constraints. A8
A11
Find the critical points of a mathematical program with equality constraints. A8
A11
Classify the critical points and interpret the Lagrange multipliers. A8
A11
Determine the local or global character of the optima of an equality-constrained problem. A8
A11
Know the structure and basic properties of a linear program. A8
A11
Formulate simple economic problems as linear programs. A3
A4
A8
A11
A12
B1
B2
B3
B4
B5
B10
C1
C4
C6
C7
C8
Solve linear programs by the simplex algorithm. A3
A4
A6
A8
A9
A11
B1
B2
B3
B4
B5
B10
C1
C4
C5
C6
C7
C8
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