Fundamentals of Mathematics
A.Y. 2024/2025
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.
Lesson period: First semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course can be attended as a single course.
Course syllabus and organization
Single session
Responsible
Lesson period
First semester
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: vectors, matrices and applications in geometry. 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, available on Ariel (project Matematica assistita).
Online material, available on Ariel (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. Marks are given using the numerical range 0-30. Two midterm tests will be proposed: if passed, they will replace the complete written exam.
MAT/01 - MATHEMATICAL LOGIC
MAT/02 - ALGEBRA
MAT/03 - GEOMETRY
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS
MAT/05 - MATHEMATICAL ANALYSIS
MAT/06 - PROBABILITY AND STATISTICS
MAT/07 - MATHEMATICAL PHYSICS
MAT/08 - NUMERICAL ANALYSIS
MAT/09 - OPERATIONS RESEARCH
MAT/02 - ALGEBRA
MAT/03 - GEOMETRY
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS
MAT/05 - MATHEMATICAL ANALYSIS
MAT/06 - PROBABILITY AND STATISTICS
MAT/07 - MATHEMATICAL PHYSICS
MAT/08 - NUMERICAL ANALYSIS
MAT/09 - OPERATIONS RESEARCH
Practicals: 32 hours
Lessons: 56 hours
Lessons: 56 hours
Professors:
Montoli Andrea, Seveso Marco Adamo
Shifts:
Educational website(s)
Professor(s)
Reception:
by appointment via e-mail
office 1014, Via Saldini 50