ELEMENTS OF REAL ANALYSIS

Università degli Studi
"G. d'Annunzio"

Chieti - Pescara

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General Module

Course Sheet

Course code:

MEC12I

Academic Year of enrolment:

2018

Year of supply:

2020/2021

Type of Course:

Related/Supplementary

Degree:

Course of 1st Cycle Degree in ECONOMICS AND COMMERCE

Disciplinary Sector:

MATHEMATICAL ANALYSIS

Is part of:

MATHEMATICAL TOPICS FOR ECONOMICS

Location:

PESCARA

Credits:

Programme Year:

Professor and Collaborators:

ANTONACCI FLAVIA

Cycle:

Second semester

Hours of classroom activity:

Individual study hours:

Prerequisites:

Basic notions of differential and integral calculus.

Objectives

Basic notions of linear algebra and probability, especially useful for students who are interested in the quantitative aspects of economic sciences.

Contents

Linear algebra. Quadratic forms. Optimization.

Extended Syllabus

Linear algebra and quadratic forms.
Optimization of functions of two variables.
Basic probability theory. Conditioned probability. Bayes theorem. Independence. Bernoulli schemes. Discrete random variables. Binomial distribution. Absolutely continuous random variables. Densities. Gaussian distributions. Expectation. Variance. Covariance. Behaviour under sum. Law of Large Numbers. Central Limit Theorem.

Recommended Bibliography

T. Apostol, Calculus vol 2 (second edition)

Teaching Methods

At least 48 hours of lectures and exercise sections.

Evaluation methods

Verification of learning:

Both written and oral examinations.

Contacts/More Information

Weekly office hours will be held. Please consult the official web page for precise information.

Other courses

Course year: 1

STATISTICS
9 Credits - Characterising
FOREIGN LANGUAGE (ENGLISH)
6 Credits - Language/Final Examination
FOREIGN LANGUAGE (FRENCH)
3 Credits
SEMINARS/INTERSHIP/SECOND U.E. LANGUAGE
3 Credits

Course year: 2

ECONOMIC POLICY
9 Credits - Characterising
FINANCIAL MATHEMATICS
6 Credits - Characterising
PUBLIC ECONOMICS
6 Credits - Characterising

Course year: 3

MATHEMATICAL TOPICS FOR ECONOMICS
6 Credits
ECONOMIC GEOGRAPHY
9 Credits - Characterising
FINANCIAL MARKET AND INSTITUTIONS
9 Credits - Characterising
FINANCIAL REPORTING
9 Credits - Characterising
COMMODITY SCIENCE
6 Credits - Related/Supplementary
ECONOMIC HISTORY
6 Credits - Related/Supplementary
TAXATION LAW
9 Credits - Related/Supplementary

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ELEMENTS OF REAL ANALYSIS