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B016458 - MATHEMATICAL METHODS FOR ECONOMIC ANALYSIS
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Further information
Type of Assessment
Course program
Sustainable Development Goals 2030
Academic Year 2023-24
Coorte 2023 - Second Cycle Degree in ECONOMICS AND DEVELOPMENT
Course year
First year - First Semester
Belonging Department
Economics and Management (DISEI)
Course Type
Single education field course
Scientific Area
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Credits
6
Teaching Hours
48
Teaching Term
13/09/2023 ⇒ 07/12/2023
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
Teaching Language
English
Course Content
This course introduces students to some of the mathematical tools required for intermediate level courses in economics (applied and theory): in particular Riemann integration (areas, indefinite integrals, improper integrals with application to random variables), elements of linear algebra, matrices and vector spaces, functions of several variables, differential calculus, and optimization.
Suggested readings (Search our library's catalogue)
Course lecture notes will be the main reference.
Complementary recommended readings posted on the (moodle) course web site.
Complementary recommended readings posted on the (moodle) course web site.
Learning Objectives
The goal of the course is to provide the ability to understand the formalization of standard problems found in economics and to complement competences from statistics/econometrics courses. Students will also be able to read the economic literature up to a moderate level of formalization.
Prerequisites
It is necessary to be familiar with single variable calculus (functions, limits, derivatives).
Teaching Methods
Lectures (48 hours).
Further information
More details on the moodle platform at e-l.unifi.it (ask lecturer for access key).
Type of Assessment
The final exam consists in a written test. More details on moodle at e-l.unifi.it.
Course program
Elements of Riemann integration. Functions of several variables: geometric representation, level sets, partial derivatives. Tools for comparative statics: the chain rule and Implicit differentiation. Unconstrained optimization in several variables. Matrix and vector algebra: systems of linear equations, determinant and inverse of a matrix. Vector spaces and subspaces. Bases and Dimension. Eigenvalues and eigenvectors.