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Universit脿 Liedia de Bulsan

Selezion毛ia l lingaz. Lingaz atual: LLD

Matematica per le applicazioni economiche

Semester 1-2 路 27356 路 Corso di laurea in Economia e Management 路 12CFU 路 EN


M1: The course "Mathematics for Economists M1" deals with basic mathematical concepts like sets, relations, functions, numbers, limits and absolute values. Moreover we will introduce functions of one variable by studying their basic properties, derivatives and their calculus, Taylor approximations and the Newton's method. We will also address the single-variable optimization (Fermat's rule and sufficient optimality conditions) and the elements of integration.

M2: In this course we study linear algebra and functions of several variables.

Dozenc: Martin Meier, Paolo Maraner

Ores de ensegnament: 36+36
Ores de laboratore: 60+60

Argomenc dl curs
M1: Sets, relations, functions. Basic algebra, numbers, approximations, sequences and their limits, series, geometric series. Real functions (polynomial, rational, irrational, exponential and logarithmic functions), limits of functions, differentiation,Taylor approximations, Newton鈥檚 method, convexity, single variable optimization, integration. M2: 1. Matrix calculus, rank and linear independence, systems of linear equations, Gaussian elimination, applications. 2. Functions of several variables: gradients, Hesse matrices, Taylor approximation, convexity. 3. Multivariable optimization, Lagrange method and economic applications. Simple least square regression. 4. If enough time remains: Basics of probability theory.

Cursc propedeutics
none

Modalit茅 de ensegnament
Lectures and exercise sessions

Obietifs formatifs
ILO 1 Knowledge and understanding ILO 1.1 knowledge of basic and intermediate level mathematical tools for understanding and analysing economic mechanisms through theoretical models and empirical applications ILO 2 Apply knowledge and understanding ILO 2.1 know how to analyse (unconstrained) optimisation problems and mathematically interpret models of social and economic dynamics ILO2.2 knowing how to work with basic and intermediate level mathematical and basic level statistical tools to study the behaviour of economic subjects, from a theoretical and empirical point of view ILO 3 Making judgements ILO 3.1 choose the most appropriate quantitative and qualitative methods of analysis ILO 4 Learning skills ILO 4.1 analyse, critically process and integrate data, information and future experience, also using advanced software

Sort de ejam
M1: A written final exam (questions and problems to solve) which counts 100% for the M1 partial grade. ILO 1.1, ILO 2.1, ILO 3.1, ILO 4.1. M2: A written final exam (questions and problems to solve) which counts 100% for the M2 partial grade. ILO 1.1, ILO 2.1, ILO 3.1, ILO 4.1. The final mark is the average of the marks of M1 and M2 - There is no different assessment for attending and non-attending students.

Criters de valutazion
Final grade: 50% grade for M1 partial grade, 50% for M2 partial grade. The results of assignments and partial exams are only valid for the academic year in question. They cannot be carried over beyond that time frame.

Bibliografia obligatora

Lecture Slides that will be uploaded in the reserve collection.



Bibliografia aconsieda

None.




Obietifs per n svilup sostenibel
Chesta ativit茅 didatica deida da arjunje chisc obietifs per n svilup sostenibel



Modules

Semester 1 路 27356A 路 Corso di laurea in Economia e Management 路 6CFU 路 EN

Module A — Mathematics for Economists 1

The course "Mathematics for Economists M1" deals with basic mathematical concepts like sets, relations, functions, numbers, limits and absolute values. Moreover we will introduce functions of one variable by studying their basic properties, derivatives and their calculus, Taylor approximations and the Newton's method. We will also address the single-variable optimization (Fermat's rule and sufficient optimality conditions) and the elements of integration.

Dozenc: Martin Meier

Ores de ensegnament: 36
Ores de laboratore: 60

Argomenc dl curs
Sets, relations, functions. Basic algebra, numbers, approximations, sequences and their limits, series, geometric series. Real functions (polynomial, rational, irrational, exponential and logarithmic functions), limits of functions, differentiation,Taylor approximations, Newton鈥檚 method, convexity, single variable optimization, integration.

Modalit茅 de ensegnament
Lectures and exercise sessions.

Bibliografia obligatora

Lecture notes provided in due course (available in the Reserve Collection). 



Semester 2 路 27356B 路 Corso di laurea in Economia e Management 路 6CFU 路 EN

Module B — Mathematics for Economists 2

In this course we study linear algebra and functions of several variables.

Dozenc: Martin Meier

Ores de ensegnament: 36
Ores de laboratore: 60

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