Learn the basic theoretical tools of Mathematical Analysis and their possibile applicability in (simple) biological contexts.
Course Prerequisites
High school mathematics arguments
Teaching Methods
Lectures and sessions of practical exercises aimed at applying in concrete examples the theoretical concepts presented during the lectures.
Assessment Methods
There will be a written examination, where the student will be asked to solve some problems on the specific topics treated during the course. If the student is positively evaluated in the written examination, he can ask for an additional colloquium. Note that the commission can in any case ask the student to have a colloquium. The oral colloquium starts with the analysis of the written examination. During the oral test the student is asked to prove to the commission that he/she masters the definitions and the statements seen during the course. Furthermore, he/she can be asked to use the theory seen in the course in some concrete (and controlled) problem/situation. Note that the final grade of ``Calculus and Statistics'' course will be the mean of the grades of the two parts. In order to be admitted to the examination on the Statistics’ part, it is mandatory that the student has successfully passed the exam of the “Calculus” part
Texts
Marco Abate "Matematica e Statistica, le basi per le scienze della vita." McGraw-Hill.
Contents
After introducing the basic concepts of set theory and the numerical sets of natural, integer, rational, real and complex numbers, the fundamental topics in Mathematical Analysis will be introduced: concept of function, properties of functions of one real variable, limits of real functions, continuous functions, differentiation, graphical representation of functions, integration, exponential and logarithmic functions, logarithmic scale representation. Simple models of biological and chemical phenomena governed by first order ordinary differential equations will be also studied.
