Scheda programma d'esame
MATHEMATICS
RITA PARDINI
Academic year2016/17
CourseBIOTECHNOLOGY
Code279AA
Credits9
PeriodSemester 1 & 2
LanguageItalian

ModulesAreaTypeHoursTeacher(s)
MATEMATICAMAT/03LEZIONI88
RITA PARDINI unimap
Programma non disponibile nella lingua selezionata
Learning outcomes
Knowledge
Students are expected to acquire the basic mathematical notions necessary for the study of biological sciences. The main topics treated in the course are: 1) calculus for functions of one real complex variable (limits, continuous and differentiable functions, integration) 2) elementary notions of statistics and probability, mainly in the dicrete case, but with some examples of continuous probability spaces.
Assessment criteria of knowledge
In the written part of the exam the student will be assessed on his/her ability of solving some simple written problems on the course topics, with the help of a textbook and of a simple calculator. In the oral test, he/she should be able to carry out some simple mathematical reasoning, explaining it with the appropriate language, and to present the main course topics.

Methods:

  • Final oral exam
  • Final written exam

Further information:
The final exams consists of a written test and of an oral test. In order to be admitted to the oral test, the student must obtain a grade of at least 16/30 in the written part. The final grade will depend on the results of both tests, but there is no fixed weighting of the two parts.

Teaching methods

Delivery: face to face

Learning activities:

  • attending lectures

Attendance: Advised

Teaching methods:

  • Lectures

Syllabus
Basic notions of set theory and combinatorics. Discrete probability spaces (mainly in the finite case): definition, random variables, mean, variance standard deviation. Independence and conditional probability, Bayes law. Numerical sets, the field of real numbers. Equations, inequalities. Elementary functions and their graphs. Sequences of real numbers, limits of sequences. Functions of one real variable: limits, continuous and differentiable functions, Taylor's polynomial, Riemann's integral. Examples of continuous probability spaces (Gaussian distribution).
Bibliography
All the material covered in the course is contained in most introductory textbooks of mathematics for biology or medical school students like, for instance, the following: M. Abate "Matematica e Statistica. Le basi per le scienze della vita." McGraw-Hill editore.
Updated: 14/11/2016 17:27