Teaching GuideTerm Faculty of Economics and Business 
Grao en Administración e Dirección de Empresas 
Subjects 
Mathematics II 
Learning aims 



Identifying Data  2019/20  
Subject  Mathematics II  Code  611G02010  
Study programme 


Descriptors  Cycle  Period  Year  Type  Credits  
Graduate  2nd fourmonth period 
First  Basic training  6  

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 secondorder 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 equalityconstrained 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 
