Teaching GuideTerm Faculty of Economics and Business |
Grao en Administración e Dirección de Empresas |
Subjects |
Mathematics II |
Learning aims |
|
|
Identifying Data | 2023/24 | |||||||||||||
Subject | Mathematics II | Code | 611G02010 | |||||||||||
Study programme |
|
|||||||||||||
Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
Graduate | 2nd four-month period |
First | Basic training | 6 | ||||||||||
|
Learning outcomes | Study programme competences / results | ||
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 and by eigenvalues. | 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 |
|