The natural, rational, real, complex numbers. Numerical sequences. Real functions of a real variable: differential calculus. Integration. Basic elements of Linear Algebra.
Aim of the course is to provide the students with basic instruments in order to deal with technical-scientific teachings characterizing the Laurea degree in Chemistry. In particular, the object of the course consists in giving the knowledge and the comprehension of the mathematical language besides the ability of making use of the essential techniques of Linear Algebra and Calculus.
Prerequisites
Courses required for Matematica 1: none
Courses recommended: none
Teaching Methods
Total number of hours for Lectures: 48
Total number of hours for Laboratory : 36
Further information
Students are strongly advised to attend the lessons
Type of Assessment
The final exam is aimed to evaluate the acquisition of the concepts and of the abilities through a written and a successive oral exam.
The written exam lasts 2 or 3 hours and requires to solve exercises analogous to those assigned and solved in class. The student can consult an A4 sheet where he has handwritten formulas that he reputes useful. The student cannot consult notes or books.
The oral exam consist of a conversation with the teacher aimed to evaluate his knowledge and understanding of the concepts and of the functions presented in the course.
Several examples of written exams assigned in the past years are available in the moodle page dedicated to the course.
The written test can be substituted by 2 or 3 written test to be held during the lessons period
Course program
The natural, rational, real, complex numbers. Numerical sequences. Real functions of a real variable: continuity, differentiability, graph, linear approximation, Taylor polynomial. Integration, integral functions. Basic elements of Linear Algebra: vectors, linear space, linear map, matrices and determinants, eigenvectors and eigenvalues; systems of linear equations.