MATHEMATICAL ANALYSIS I COURSE

Course objectives

Knowledge and understanding. Good theoretical and practical knowledge of differential calculus, integration, power series (real functions of one real variable). Ability to understand these issues also in the context of other courses. Applying knowledge and understanding. Ability to use the acquired skills for solving simple problems and for their use required in other courses. Making judgements. Good ability to recognize, frame and set out the resolution of simple problems, selecting appropriately among the methods learned. Communication skills. Good presentation skills of basic concepts and techniques of Calculus. Learning skills. Good learning ability of mathematical issues in other courses, by virtue of the comprehension of the logical-deductive character of the discipline.

Channel 1
LUCA ROSSI Lecturers' profile

Program - Frequency - Exams

Course program
1) Real numbers 2) Elementary functions 3) Sequences and numerical series. 4) Limits of functions and continuity. 5) Derivatives. Local and global maxima and minima. Order of infinitesimal and infinity. De L'Hopital's theorem. 6) Development of elementary functions with Taylor's formula, expressions of the remainder and applications. 7) The calculation of areas. Riemann's integral. Integral functions and primitive functions: the fundamental theorem of integral calculus. Methods of integration. 8) Hints on complex numbers. 9) Linear differential equations (first and second order, with constant coefficients).
Prerequisites
Basic knowledge of mathematics: a) elementary operations in real numbers: sum, product and exponentiation; b) solving first and second degree equations and inequalities; c) trigonometry.
Books
Bramanti-Pagani-Salsa "Analisi matematica 1"
Frequency
optional
Exam mode
A written and an oral test. The latter is optional, but if it is not taken, the maximum grade that can be obtained is 26. The written test can be replaced by two intermediate tests carried out in the middle and at the end of the course
Lesson mode
In the classroom, theory and exercises
  • Lesson code10612162
  • Academic year2025/2026
  • CourseStatistics, Finance and Actuarial sciences
  • CurriculumCurriculum unico
  • Year1st year
  • Semester2nd semester
  • SSDMAT/05
  • CFU9
  • Subject areaDiscipline Matematiche