Integral Calculus

Course objectives

General goals: The purpose of the course is to provide the student with basic mathematical analysis tools such as : the theory of series, integral calculusand differential equations. Specific goals: Students will be able to examine various techniques of integration and apply them to compute definite and indefinite integrals by using integration by substitution and the rule of integration by parts.Students will be able tocompute limits of sequences and discuss the convergence of number series, power seriesand Taylor series of elementary functions. Knowledge and understanding: At the end of this course the students will be able to calculate integrals and the solutions of some first order differential equationsand the solutions of second order linear differential equations with constant coefficientsLearning activities consists of lectures and exercise sessions. The lecture aim to introduce fundamental concepts, to explain them by showing examples. Applying knowledge and understanding: The exercise sessions aim to teach how to select and use calculation methods.

Channel 1
ANDREA TERRACINA Lecturers' profile

Program - Frequency - Exams

Course program
Numerical series, power series. Integration of functions of one real variabile. Ordinary differential equations of first and second order (linear).
Prerequisites
Basic knowledge of analysis (continuity and differentiability).
Books
Course notes Lecture notes from Lamberti's course Lecture notes from Lamberti Mascia's course
Frequency
Not mandatory attendance (but strongly encouraged).
Exam mode
The evaluation exam consists of a written and an oral test. The latter may be optional depending on the result of the written test. The written test can be replaced by two intermediate tests carried out in the middle and at the end of the course.
Bibliography
The recommended material is purely indicative: each classic text of Mathematical Analysis can be used with profit.
Lesson mode
Lessons in room
AZAHARA DE LA TORRE PEDRAZA Lecturers' profile

Program - Frequency - Exams

Course program
Numerical series, power series. Integration of functions of one real variabile. Ordinary differential equations of first and second order (linear).
Prerequisites
Basic knowledge of analysis (continuity and differentiability).
Books
Lecture notes available on e-learning platform.
Exam mode
The assessment exam consists of a written test and an oral test. The latter may be optional depending on the result of the written test. The written test may be replaced by two midterm tests taken in the middle and at the end of the course.
Lesson mode
In person lessons
Channel 2
NADIA ANSINI Lecturers' profile

Program - Frequency - Exams

Course program
Integration according to Riemann; improper integrals. Number series. Power series. EDO (first degree: linear, method of separation of variables) second degree with constant coefficients (homogeneous and with known term)
Prerequisites
The topics deal with Differential Calculus
Books
Ansini's Lecture Notes Mathematical Analysis 1. Authors: Claudio Canuto, Anita Tabacco. Editors: Pearson
Teaching mode
The lecture is composed by a theoretical part with the presentation of the general theory and most relevant results of the topic. A second practical part Is devoted to perform examples and exercises to facilitate the comprehension and the application of the theory. The students are stimulated to the end of developing and acquiring skills and problem solving ability.
Frequency
Lesson attendance is strongly recommended.
Exam mode
The evaluation of the written and oral exams takes into account : understanding of the topics, expertise in the application of the methods and new concepts, critical thinking skills, completeness, coherence and accuracy of the written examination and oral exposition.
Bibliography
Mathematical Analysis. Authors: Claudio Canuto, Anita Tabacco. Editors: Pearson
Lesson mode
The lecture is composed by a theoretical part with the presentation of the general theory and most relevant results of the topic. A second practical part Is devoted to perform examples and exercises to facilitate the comprehension and the application of the theory. The students are stimulated to the end of developing and acquiring skills and problem solving ability.
MARCELLO PONSIGLIONE Lecturers' profile
  • Lesson code97796
  • Academic year2024/2025
  • CourseInformatics
  • CurriculumTecnologico
  • Year1st year
  • Semester2nd semester
  • SSDMAT/05
  • CFU6
  • Subject areaFormazione matematico-fisica