Limits Differentiation of real functions. Integration, plane areas by integration.
Differential equations. Space vectors.
Matrices Geometry in three-space.
M Abate Matematica e statistica-Le basi per le scienze della vita
Learning Objectives
Knowledge acquired:
Basis of Mathematics.
Competences acquired:
Calculus
Linear algebra
Geometry in three-space.
Skills acquired (at the end of the course):
Conscious use of mathematical methods.
Prerequisites
Courses to be used as requirements (required and/or recommended)
Courses required: none
Courses recommended: none
Teaching Methods
CFU: 12
Contact hours for: Lectures (hours): 96
Type of Assessment
Four written tests in itinere and final written and oral exam.
Course program
Numbers. real function of a real variable. Limits of a real function. Continuos functions:properties and theorems. Differentiation of real functions. Taylor polynomial. Approximationprocedures.
Integratio: plane areas by integration, improper integrals. Differential equations.
Space vectors, linear systems, matrices, eigenvectors, eigenvalues, reduction of matrices todiagonal form. Linear geometry in two and three-dimensional space.
