Fundamentals of mathematics

A.Y. 2020/2021
9
Max ECTS
88
Overall hours
SSD
MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Language
Italian
Learning objectives
The aim of the course is to provide the basic mathematical tools for the applications of mathematics to the other sciences (in particular chemistry), focussing on the basic notions of integral and differential calculus for real functions.
Expected learning outcomes
The student will be able to master the tools of differential and integral calculus and to apply them to solving problems, particularly of a chemical nature.
Course syllabus and organization

Single session

Responsible
Lesson period
First semester
The lessons and exercises will be carried out synchronously using the Zoom platform. The program and the reference material will not be changed.
Course syllabus
Real and complex numbers. Sequences of real numbers. Differential calculus for real functions on one or more variables. Integral calculus for real functions defined on one variable. Elements of linear algebra: vector spaces, matrices and linear maps. Resolution of linear differential equations of I and II order.
Prerequisites for admission
Elementary algebra and geometry; knowledge of trigonometry, exponential and logarithmic functions and their applications to equations and inequalities.
Teaching methods
Traditional lectures and exercises. Tutoring activities will be proposed on exercises suggested by the teachers.
Teaching Resources
M. Bramanti, C.D. Pagani, S. Salsa: Matematica. Calcolo infinitesimale e algebra lineare. Seconda edizione. Ed. Zanichelli, Bologna, 2004.

Online material related to the project Matematica assistita.
Assessment methods and Criteria
The exam consists of a written test, of the duration of at most three hours. The written test is formed by a theoretic part, in order to evaluate the knowledge and understanding of the fundamental notions, and a practical one, in order to evaluate the capability of solving exercises. The exam is passed only if both parts obtain a positive evaluation. Two midterm tests will be proposed: if passed, they will replace the complete written exam.
MAT/01 - MATHEMATICAL LOGIC - University credits: 0
MAT/02 - ALGEBRA - University credits: 0
MAT/03 - GEOMETRY - University credits: 0
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 0
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 0
MAT/06 - PROBABILITY AND STATISTICS - University credits: 0
MAT/07 - MATHEMATICAL PHYSICS - University credits: 0
MAT/08 - NUMERICAL ANALYSIS - University credits: 0
MAT/09 - OPERATIONS RESEARCH - University credits: 0
Practicals: 32 hours
Lessons: 56 hours
Educational website(s)
Professor(s)
Reception:
On appointment
Via Cesare Saldini 50