INSTITUTIONS OF MATHEMATICS 1

The objectives of the course are the following:

Knowledge and understanding: the student will learn some basic mathematical concepts and will develop both computing ability and the capacity of manipulating some common mathematical structures among which limits and derivatives for functions of real variable.

Applying knowledge and understanding: by means of examples related to applied sciences, the student will learn the central role of Mathematics within science and not only as an abstract topic. This will expand the cultural horizon.

Making judgements: the student will tackle with rigour some simple yet meaningful methods of Mathematics. This will sharpen his logical ability. Many proofs will be exposed in an intuitive and schematic way, to make them more usable also to students that are not committed to Mathematics.

Communication skills: studying Mathematics and dedicating time to guided exercitations and seminars, the studente will learn to communicate with clarity and rigour both, verbally and in writing. The student will learn that using a properly structured language is the key point to clear and effective scientific, and non-scientific, communication.

Learning skills: the students, in particular the more willing, will be stimulated to examine in depth some arguments, alone or working in group.

• Matrix. Systems of linear equations.
• Elements of vector calculus and applications tu the analytical geometry.
• General notions on numerical sets.
• Sequence of real numbers.
• Real valued functions of real variable and their limits.
• Differential calculus for real valued functions of one real variable and its applications.
• Integral calculus for real valued functions of one real variable.

- P. Marcellini, C. Sbordone - Elementi di Calcolo. Liguori Editore.

- P. Marcellini, C. Sbordone - Esercitazioni di Matematica I - Liguori Editore.