00679 - Mathematics

Learning outcomes

At the end of the course, the student is able to handle the mathematical tools of Linear Algebra. The students also acquired the background in Mathematical Analysis for functions of one real variable and the knowledge of economic and financial applications.

Course contents

Real functions of one eal variables. Elementary functions and their graphs. Limits and continuity. Weierstrass theorem. 

Differential calculus and applications do function approximations, computation of limits. Optimization and convexity. 

Sequences and series. Difference equations: the linear case. 

Riemann integrals. 

Ordinary differential equations.

Basics of linear algebra.

Real functions of more than one variable.

Readings/Bibliography

R.A. ADAMS, C. ESSEX. Calculus, a complete course, 9th Edition, Pearson, 2018.

K. SYDSÆTER, P. HAMMOND, A. STRØM, A. CARVAJAL. Essential Mathematics for Economic Analysis, 5th Edition. Pearson, 2016.

Teaching methods

Frontal lessons with projector and electronic blackboard. Exercise sessions with the teacher or tutor. Online software will be used for educational purposes.

Exercises will be periodically assigned.

The teaching material presented in class will be made available in electronic format on the course page on Virtual.

The reception will take place on Teams. For the day and time set for office hours, please consult the teacher's page. To participate in the reception it is sufficient to communicate your presence at least 24 hours in advance.

We recommend consulting the course page on Virtuale, where, in particular, the rules of the course that everyone is required to know are published.

Assessment methods

The final exam consists of a written exam that will focus on the entire program of the course. There will be partial written tests carried out in itinere which, if passed, can replace the final exam. The delivery of a final exam invalidates any partial exams previously carried out. Consultation of one's own notes is allowed during the exam. Computers, tablets, smartphones or any other electronic device, with the exception of non-graphic calculators, must be kept switched off.

We recommend consulting the course page on Virtuale, where, in particular, the exam rules are published, which everyone is required to know.

Graduation of grades and evaluation judgments

· <18: insufficient preparation;

· 18-23: sufficient preparation but related to a limited number of program contents;

· 24-27: preparazione adeguata ma con lacune;


· 28-30: thorough mastery of all the contents of the course;

· 30L: excellent knowledge of the contents of the course.

Teaching tools

Tablet, projector.

Office hours

See the website of Lorenzo Cerboni-Baiardi