- Docente: Rossella Agliardi
- Credits: 8
- SSD: SECS-S/06
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Rimini
- Corso: First cycle degree programme (L) in Economics of Tourism and Cities (cod. 6054)
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from Sep 15, 2025 to Dec 15, 2025
Learning outcomes
This course is designed to provide the student with an in-depth knowledge of Integral Calculus, Differential Equations and Multivariable Differential Calculus with a special emphasis on Extremum Problems. Students should view this course as a compendium of mathematical tools for several courses in their economic curriculum. The traditional class lectures will be complemented by Lab classes designed to train students in numerical solving of some specific problems and in simulation techniques. At the end of the course, the student will gain a better understanding of the mathematics behind some significant economic models and will be more proficient in building and developing practical solutions to some specialist applications.
Course contents
A review of multivariable calculus: directional derivatives, differentiability, Taylor’s formula, concave and convex functions, static optimization. Differential equations: introduction, first order equations in one variable, linear differential equations with constant coefficients. Control theory: basic techniques.
Readings/Bibliography
K. Sydsaeter, P. Hammond, A. Seierstad, A. Strᴓm, Further Mathematics for Economic Analysis, Prentice Hall
Teaching methods
Lectures on the theoretical concepts and exercises. One further objective is to provide some tools to help developing specialist numerical programs in economic modelling which answer some specific problems. To the purpose, a few Lab classes will be organized. In particular, working on some prototype examples, students will learn how to develop ideas into application, how to design future scenarios and demonstrate levels of risk and uncertainty, how to provide a series of answers based on different parameters, how to improve existing models.
Assessment methods
Written exam (duration 60 minutes) consisting of short exercises and one or two more complex problems. Please note that the relevant topics will be always proposed in the written exam.
The first call will consist of two separate written exams, each counting for 50% of the final assessment.
The use of textbooks, personal notes and other printed notes is allowed; tablets and cell-phones are not allowed. Do not forget to bring a calculating machine.
The content of the Lab classes will not be included in the exam, but a minimum of 75% attendance to the Lab classes is needed to obtain a grade >27.
Further information on the exam will be provided during the first lecture of each module.
Teaching tools
Slides, additional exercises and speadsheets will be made available along with supplementary material used during the Lab classes.
Office hours
See the website of Rossella Agliardi