Learning objectives
The aim of the course is to make the student familiar with the fundamental tools of Calculus, in view mainly of the applications to data processing and interpretation of biological phenomena.
Prerequisites
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Course unit content
The course focuses on the main topics of Calculus and on the fundamental concepts of Real Analysis in one variable (limits, derivatives, qualitative studies of the graph of a function, integration...)
Full programme
Preliminaries:
Set Theory
Propositions and elementary Logic
The sets N, Z, Q, R and C and their properties.
Polynomials, equations, systems.
Analytic geometry
Functions:
defintion, properties, graphic, elementary functions and their graphics.
Logarithmic and exponential functions.
Limits of function and continuous functions.
Derivative of a function. Differential calculus.
Sequences
Integral calculus
Bibliography
Preferred:
- Angelo Guerraggio, Matematica per le Scienze, Pearson (with electronic platform for exercises Mymathlab)
Suggested books:
- Roberto D'Ercole, Matematica per i precorsi, Pearson Education.
- Giuseppe De Marco, Analisi Zero, Decibel–Zanichelli.
- M. Abate, Matematica e Statistica (3rd edition), McGraw-Hill.
- P. Marcellini, C. Sbordone, Elementi di Calcolo, Liguori.
Teaching methods
6 hours face - to - face (if allowed) lectures and 2 hours exercises (mainly on line) per week.
Assessment methods and criteria
The final (written) exam is aiming at verifying the ability to use a formal language and to correctly solve exercises.
The written exam contains up to 6 exercises with almost equal value, and the time assigned is 2 hours and half.
In case of prolonged COVID-19 emergency, the written exam will be substituted by a quiz (via Teams and Elly).
The (optional) oral exam includes all the program. The final mark in this case is the algebraic mean of the two evaluations (written and oral part)
Other information
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