MATHEMATICAL ANALYSIS II

Course objectives

Aim of this course is to learn the basic ideas and techniques of integral calculus in 2 or 3 variables, Fourier series and partial differential equations. With a practical approach, the students can develop those basic skills that are fundamental for the comprehension of more advanced courses in Physics and Engineering. The objective is pursued by means of classical frontal lessons where the students are encouraged to an active attendance. 1) Knowledge and understanding: To know the basic ideas of Mathematical analysis in several real variables, with emphasis on logical reasoning, on text comprehension, and to the achievement of those skills necessary in order to solve concrete problems. 2) Applying knowledge and understanding: To use the learned tools to solve problems in Mathematical Analysis and discuss concrete examples; to develop those skills that are necessary in order to apply Mathematical Analysis to the solution of scientific and engineering problems. 3) Making judgement: To decide the most appropriate approach to solve a specific problem; to classify those mathematical problems usually faced in pure and applied science. 4) Communication skill: To learn to describe the solution of a mathematical problem, pointing which techniques can be used, justifying the intermediate steps and underlining the logical reasonings. 5) Learning skill: To develop the necessary skills to learn Mathematical Analysis with the objective that the student can face most advanced courses.

Channel 1
ROBERTO CONTI Lecturers' profile

Program - Frequency - Exams

Course program
Double and triple integrals. Curves, differential forms and line integrals. Grenn-Gauss formulas in the plane. Surfaces and surface integrals. The divergence and curl theorems. Fourier series. Introduction to partial differential equations. First order equations in two variables. Wave equation. Heat equation. Laplace equation.
Prerequisites
All the topics in the course Mathematical anaysis I.
Books
1) Fusco - Marcellini - Sbordone, Elementi di analisi matematica 2, Liguori. 2)Fabio Scarabotti, Equazioni alle derivate parziali. Teoria elementare e applicazioni. Esculapio.
Teaching mode
By means of traditional blackboard and/or electronic blackboard.
Frequency
Courses attendance is optional and the teacher does not control the presence. However, due to the complexity of the matter, the attendance is highly recommended both to the theoretical and to the practical lectures, since this is a strong support for the individual work.
Exam mode
Written examination. Five exercises.
Lesson mode
By means of traditional blackboard and/or electronic blackboard.
ROBERTO CONTI Lecturers' profile

Program - Frequency - Exams

Course program
Double and triple integrals. Curves, differential forms and line integrals. Grenn-Gauss formulas in the plane. Surfaces and surface integrals. The divergence and curl theorems. Fourier series. Introduction to partial differential equations. First order equations in two variables. Wave equation. Heat equation. Laplace equation.
Prerequisites
All the topics in the course Mathematical anaysis I.
Books
1) Fusco - Marcellini - Sbordone, Elementi di analisi matematica 2, Liguori. 2)Fabio Scarabotti, Equazioni alle derivate parziali. Teoria elementare e applicazioni. Esculapio.
Teaching mode
By means of traditional blackboard and/or electronic blackboard.
Frequency
Not mandatory
Exam mode
Written examination. Five exercises.
Lesson mode
By means of traditional blackboard and/or electronic blackboard.
FABIO SCARABOTTI Lecturers' profile

Program - Frequency - Exams

Course program
Double and triple integrals. Curves, differential forms and line integrals. Grenn-Gauss formulas in the plane. Surfaces and surface integrals. The divergence and curl theorems. Fourier series. Introduction to partial differential equations. First order equations in two variables. Wave equation. Heat equation. Laplace equation.
Prerequisites
All the topics in the course Mathematical anaysis I.
Books
1) Fusco - Marcellini - Sbordone, Elementi di analisi matematica 2, Liguori. 2)Fabio Scarabotti, Equazioni alle derivate parziali. Teoria elementare e applicazioni. Esculapio.
Teaching mode
By means of traditional blackboard and/or electronic blackboard.
Frequency
Courses attendance is optional and the teacher does not control the presence. However, due to the complexity of the matter, the attendance is highly recommended both to the theoretical and to the practical lectures, since this is a strong support for the individual work.
Exam mode
Written examination. Five exercises.
Lesson mode
By means of traditional blackboard and/or electronic blackboard.
FABIO SCARABOTTI Lecturers' profile

Program - Frequency - Exams

Course program
Double and triple integrals. Curves, differential forms and line integrals. Grenn-Gauss formulas in the plane. Surfaces and surface integrals. The divergence and curl theorems. Fourier series. Introduction to partial differential equations. First order equations in two variables. Wave equation. Heat equation. Laplace equation.
Prerequisites
All the topics in the course Mathematical anaysis I.
Books
1) Fusco - Marcellini - Sbordone, Elementi di analisi matematica 2, Liguori. 2)Fabio Scarabotti, Equazioni alle derivate parziali. Teoria elementare e applicazioni. Esculapio.
Frequency
Courses attendance is optional and the teacher does not control the presence. However, due to the complexity of the matter, the attendance is highly recommended both to the theoretical and to the practical lectures, since this is a strong support for the individual work.
Exam mode
Written examination. Five exercises.
Lesson mode
By means of traditional blackboard and/or electronic blackboard.
  • Lesson code1015376
  • Academic year2024/2025
  • CourseEnvironmental Engineering
  • CurriculumCurriculum unico
  • Year1st year
  • Semester2nd semester
  • SSDMAT/05
  • CFU9
  • Subject areamatematica, informatica e statistica