MATHEMATICS AND STATISTICS

Loredana CASO MATHEMATICS AND STATISTICS

0512800024
DEPARTMENT OF CHEMISTRY AND BIOLOGY "ADOLFO ZAMBELLI"
EQF6
BIOLOGICAL SCIENCES
2016/2017

OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2016
PRIMO SEMESTRE
CFUHOURSACTIVITY
1080LESSONS
Objectives
THE COURSE AIMS TO PROVIDE A SOUND UNDERSTANDING OF THE MATHEMATICAL PRINCIPLES THAT UNDERPIN OTHER PERTINENT DISCIPLINES, NAMELY, CHEMISTRY, PHYSICS AND BIOLOGY.
KNOWLEDGE AND UNDERSTANDING:THE COURSE AIMS TO PROVIDE CONCISE AND SUITED TO APPLICATIONS, THE PRINCIPAL MATHEMATICAL TOOLS NEEDED TO STUDY PHYSICAL AND CHEMICAL DISCIPLINES AND FOR APPLICATIONS IN THE BIOLOGICAL FIELD.
APPLYING KNOWLEDGE AND UNDERSTANDING: THE AIM OF THE COURSE IS TO MAKE THE STUDENT ABLE TO ASSIMILATE THE THEORETICAL KNOWLEDGE ACQUIRED. IN ADDITION, THROUGH MATHEMATICAL TOOLS, THE STUDENT MUST BE ABLE TO DESCRIBE AN "IDEAL MODEL" OF A PHENOMENON BY ANALYZING THE RELATIONSHIPS BETWEEN THE DATA.
Prerequisites
KNOWLEDGE GAINED IN COURSES FROM HIGH SCHOOL. IN PARTICULAR, IT REQUIRES KNOWLEDGE OF ELEMENTARY ALGEBRA, TRIGONOMETRY, SOLUTION METHODS OF EQUATIONS AND INEQUALITIES OF FIRST AND SECOND INSTANCE.
Contents
SCIENTIFIC NOTATION. PROPAGATION OF ERRORS. PERCENTAGES. DISCRETE PROBABILITY: PROBABILITY DISTRIBUTIONS; CONDITIONAL PROBABILITY; INCIDENCE RATE, SENSITIVITY, SPECIFICITY AND PREDICTIVE VALUES; COMBINATORICS; APPLICATIONS TO BIOLOGY. DATA REPRESENTATIONS. MEAN, VARIANCE, STANDARD DEVIATION, COEFFICIENT OF VARIATION. ALGEBRAIC FUNCTIONS, TRANSCENDENTAL FUNCTIONS. METHOD OF LEAST SQUARES. DIFFERENTIAL CALCULUS. INTEGRAL CALCULUS.
Teaching Methods
LECTURES
EXERCISES
Verification of learning
THE EXAM IS DONE THROUGH A WRITTEN TEST AND PROVIDES A POSSIBLE FINAL ORAL TEST. IN PARTICULAR, ON THE BASIS OF METHODOLOGIES, TOOLS AND CONTENT TAUGHT IN CLASS, THE STUDENTS MUST DEMONSTRATE THAT THEY ARE ABLE TO: UNDERSTAND THE PROBLEM, FIND THE CORRECT MATHEMATICAL AND QUANTITATIVE INTERPRETATION, RECOGNIZING THE APPLICABLE METHODOLOGIES, DEVELOP THE CALCULATION CONTEXT APPROPRIATE, INCLUDE ANSWERS DEDUCED FROM THE METHOD AND ITS INFERENCES.
Texts
MATEMATICA E STATISTICA (LE BASI PER LE SCIENZE DELLA VITA) – MARCO ABATE, MCGRAW-HILL
MATEMATICA PER LE SCIENZE DELLA VITA – D. BENEDETTO – M. DEGLI ESPOSTI – C. MAFFEI, CASA EDITRICE AMBROSIANA
CALCOLO (FUNZIONI DI UNA VARIABILE) – JAMES STEWART, APOGEO
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