First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Economics and Political Science
Course unit
EPP6077338, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
EP2422, Degree course structure A.Y. 2017/18, A.Y. 2017/18
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Degree course track ECONOMICS [002PD]
Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination MATHEMATICS FOR ECONOMICS
Department of reference Department of Economics and Management
E-Learning website
Mandatory attendance No
Language of instruction English
Single Course unit The Course unit CANNOT be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge ALESSANDRA BURATTO SECS-S/06

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses SECS-S/06 Mathematics for Economics, Actuarial Studies and Finance 9.0

Mode of delivery (when and how)
Period First semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
Hours of
Individual study
Lecture 9.0 63 162.0 No turn

Start of activities 02/10/2017
End of activities 19/01/2018

Examination board
Examination board not defined

Prerequisites: Basic calculus, Differential calculus, Integrals, Basic Linear Algebra
Target skills and knowledge: The objective of this course is to equip students with the basic mathematical techniques required for a rigorous study of Economics. Students are expected to acquire knowledge and understanding of advanced mathematical tools in order to use them with autonomy in Economics and Finance issues.
Examination methods: Homework - Written test and oral exam.
Assessment criteria: The evaluation will be based on the knowledge of the topics covered during the lessons. In addition to a good learning ability, it is expected the ability to apply the acquired knowledge in an autonomous and competent way.
Course unit contents: - Calculus of a Single Variable: differentiation and optimization of real-valued functions of a single variable, (a brief review)
- Vector Algebra: matrices and linear systems (review), eigenvalues and eigenvectors
- Multivariable Calculus: Differentiation of Real-Valued Functions of several variables, Concave and Quasiconcave functions
- Optimization (unconstrained and constrained): Equality constraints: Lagrange Method (review), Inequality constraints: Kuhn-Tucker conditions, Envelope theorem, Comparative statics
- Fixed Point Theorems and Applications: Brouwer’s and Kakutani’s theorems, Implicit function theorem
- Differential Equations: ODE systems, dynamic systems
- Dynamic Programming: Hamilton Jacobi Bellman equation
Planned learning activities and teaching methods: Exercises to become friendly with the topics will be done in class and assigned as homework.
Additional notes about suggested reading: The lecture notes, the audio recording of the lessons and other teaching material, together with specific communications from the lecturer can be found, inside the Moodle platform.
Textbooks (and optional supplementary readings)
  • Simon, Carl P. and Lawrence Blume, Mathematics for Economists - International student edition. New York - London: Norton, 2010.