TOPICS IN MATHEMATICS
Course objectives
A) Learning of basic knowledge of mathematical analysis in the fields of optimization of functions and of ordinary differential equations. B) Ability to solve basic exercises and problems in the fields of optimization of functions and of ordinary differential equations. D), E) Ability to understand the nature of difficulties posed by simple problems in the fields of optimization of functions and of ordinary differential equations, in order to seek help in textbooks or from experts.
Channel 1
MARCO SCIANDRONE
Lecturers' profile
Program - Frequency - Exams
Course program
n-dimensional euclidean space
Functions of several variables
Differentiation of functions of several variables
Optimization over n-dimensional euclidean space
Prerequisites
Linear Algebra
Properties of functions of one variable
Books
Book Complementi di Matematica, G. Liuzzi, M.Sciandrone, Hoepli, 2023
Teaching mode
Lectures in classroom
Frequency
In presence
Exam mode
Theory questions and exercises
Bibliography
Analisi matematica,Michiel Bertsch Roberta Dal Passo Lorenzo Giacomelli, Seconda edizione McGraw-Hill
Lesson mode
Lectures in classroom
Channel 2
GIAMPAOLO LIUZZI
Lecturers' profile
Program - Frequency - Exams
Course program
Metric spaces: the distance function
Functions in R^n
Definition of limit, necessary conditions for its existence
Continuity and differentiability.
Taylor expansion for functions in R^2
Convexity
Unconstrained optimization
Integration of functions in two and three variables
Prerequisites
having successfully attended the courses: Analisi Matematica I and Geometria I
Books
Textbook from the teacher: G.Liuzzi, M.Sciandrone, "Complementi di matematica" (Hoepli editore)
Other suggested textbook: M. Bertsch, R. Dal Passo, L. Giacomelli, "Analisi Matematica" (McGraw Hill)
Teaching mode
The entire course is taught completely in presence
Frequency
Participation to the lectures is optional
Exam mode
In order to pass the exam the student needs a note greater or equal than 18/30. The student has to show a sufficient knowledge on all the topics of the course and has to be able to formulate a linear programming model.
To get the maximum note, 30/30 cum laude, the student has to show an excellent knowledge on all the topics of the course being able to logically link them.
Lesson mode
The entire course is taught completely in presence with lectures and exercitations with the leading teacher
Participation to the lectures is optional
- Lesson code10596640
- Academic year2024/2025
- CourseManagement Engineering
- CurriculumCurriculum unico
- Year2nd year
- Semester1st semester
- SSDMAT/09
- CFU6
- Subject areaMatematica, informatica e statistica