The course is given by lectures on the blackboard (or at distance via TEAMS if required). The exam involves a written test and an oral test; the type of the written part is depending on whether the exam is allowed to be in presence (quiz + exercises) or online (only quiz). There will be the possibility of intermediate tests.
The purpose is to acquire the knowledge of concepts and methods of calculus concerning numerical sequences and series, differential and integral calculus in one variable, ordinary differential equations.
At the end of the course the student is required to know the concepts (definitions, theorems) and to apply them in practical problems. In the first part this concerns limits (of sequences and functions), continuity, differentiability, Taylor's formula and possibly sequences and series of functions. In the second part the learning outcomes concern methods of integration, differential calculus for several variables functions and solution of simple differential equations.
Numerical sets, equations and inequalities, analytical geometry in the plane, goniometry and trigonometry, elements of set theory.
The teching method is via lectures on the blackboard, if presence in rooms is allowed. Otherwise lectures are given at distance.
Numerical sets. Induction. Differential calculus. Taylor's formula. Applications of study of functions (minima/maxima and zeroes of nonlinear functions).
Integration. Sequences and series of functions. Differential calculus of several variables functions. Ordinary differential equations (separable variables, constant coefficients linear differential equations, and particular ones).
Bramanti, Pagani, Salsa - Analisi Matematica 1
Baronti, De Mari, van der Putten, Venturi - Calculus Problems
Ricevimento: The teacher is available for explanations one afternoon a week.
SIMONE DI MARINO (President)
LAURA CAPELLI
MARC ALEXANDRE MUNSCH (President Substitute)
September 2022
The exam involves a written test and an oral test; the type of the written part is depending on whether the exam is allowed to be in presence (quiz + exercises) or online (only quiz). There will be the possibility of intermediate tests.
Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.
Questions during the exam involve both theoretical aspects (theorems, formal developments) and applications via exercises.
