MATHEMATICS

Single discipline educational activity

Course Sheet

Academic Year of enrolment:

2014/2015

Type of Course:

Basic

Optional/Mandatory:

Compulsory

Degree:

Bachelor's Degree Programme in BIOLOGICAL SCIENCES

Disciplinary Sector:

MATHEMATICAL ANALYSIS

Credits:

Programme Year:

Professor and Collaborators:

GLADIALI Francesca Maria

Hours of classroom activity:

Prerequisites:

knowledge of the basic tools of logic and mathematics, including:
-elementary algebra, powers, absolute value, equations and inequalities;
-algebraic expressions;
-basic shapes in geometry and their properties;
-basic principles in analytical geometry;
-formulate in mathematical terms, a situation or problem;
-to determine whether a statement is true or false, in a situation and under certain conditions.

AF code:

40000691

Assessment Methods

Verification of learning:

written and oral exams

Teaching period

First semester

Objectives

- model a problem and translate it into mathematical language,
- understand the mathematical concept of sets and know how to use in practice,
- understand the concept of real number,
- use the Cartesian coordinate system and be able to translate the algebraic information into graphics information,
- understand the concept of limit of a function and its applications to the study of the graph of a function,
- understand the concept of a function and use in models,
- understand the concept of derivative of a function and its applications to the study of the function's graph,
- state theorems, and understand the proof.

Contents

Elements of set theory.
Permutations and combinations.
Binomial theorem and binomial coefficients.
Common number sets and their properties.
Imaginary Numbers.
Cartesian coordinate system, lines in the plane and distances.
Vectors in the plane.
Functions. Elementary functions and their graphs.
Limit of a function. Main theorems on limits.
Function composition and inverse functions.
Continuous and discontinuous functions. Main theorems on continuous functions.
Derivative of a function and tangent line.
Basic derivative rules. Maxima and minima of a function.
Main theorems.
Graph of a function.

Recommended Bibliography

-Marcellini, Sbordone: Calcolo, Liguori,
-Marcellini, Sbordone: Elementi di Calcolo, Liguori,
-Gentili, Villani: Matematica, Mc Graw Hill,
-Benedetto, Degli Esposti, Maffei, Matematica per le scienze della vita, Casa Editrice Ambrosiana,

We also recommed the use of a workbook, for example:
-Marcellini, Sbordone: Esercitazioni di matematica, primo volume (parte prima e parte seconda), Liguori.

Contacts/More Information

1) Readiness to offer individual assistance also in english language to incoming students
2) Availability of supporting material and bibliographic references also in english language
list: Calculus A Complete Course, by Robert A. Adams
3) Readiness to accept examination of incoming students also in english language

Other courses

Course year: 1

BOTANY
12 credits
CYTOLOGY AND HISTOLOGY
12 credits
GENERAL CHEMISTRY
7 credits - Base
MATHEMATICS
7 credits - Base
ORGANIC CHEMISTRY
6 credits - Base
PHYSICS
7 credits - Base
STATISTICS
6 credits - Affine/Integrativa
CONSERVATION OF THE MARINE FAUNA
6 credits - A scelta dello studente
LINGUISTIC SKILL (ENGLISH)
6 credits - Lingua/Prova Finale

Course year: 2

ANATOMY
12 credits
ANIMAL BIOLOGY
6 credits - Base
BIOCHEMISTRY
9 credits - Base
GENETICS
9 credits - Base
ECOLOGY
6 credits - Caratterizzante
MOLECULAR BIOLOGY
8 credits - Caratterizzante
GENERAL MICROBIOLOGY
7 credits - Affine/Integrativa

Course year: 3

HYGIENE
12 credits
GENERAL PHYSIOLOGY
9 credits - Base
PLANT PHYSIOLOGY
7 credits - Caratterizzante
CLINICAL BIOCHEMICAL ANALYSIS
6 credits - Affine/Integrativa
FINAL TEST
6 credits - Lingua/Prova Finale
LINGUISTIC SKILL (ENGLISH)
6 credits - Lingua/Prova Finale
TRAINING
8 credits - Altro

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MATHEMATICS