Enrollment year
2018/2019
Academic discipline
MAT/07 (MATHEMATICAL PHYSICS)
Department
DEPARTMENT OF EARTH AND ENVIRONMENTAL SCIENCES
Course
GEOLOGICAL SCIENCES
Curriculum
PERCORSO COMUNE
Period
1st semester (01/10/2018 - 18/01/2019)
Lesson hours
72 lesson hours
Prerequisites
The course does not require prerequisites.
Learning outcomes
The course aims to provide basic knowledge on differential and integral calculus, as well as on probability and statistics at the elementary level.
Course contents
Sets, set operations. Functions. Limits and continuity. Topics of differential and integral calculus. Concept of derivative and derivation rules. Maxima and minima of a function. Higher-order derivatives. Convex and concave functions. Indeterminate forms and asymptotes. The definition of integral. Main rules of integration. Basic principles of counting. Permutations of sets. Combinations of sets. Examples of sample spaces. Probability defined on events. Conditional probability. Independent events. Bayes theorem. Random variables. Distribution functions. Probability density. Mean and variance. Random variables with joint distribution. Models of probability. Applications. Models of growth (natural and logistics). Gravity and fall of bodies.
Teaching methods
The course consists of lectures and guided exercises.
Reccomended or required readings
One of the following books:
1) Vinicio Villani- Graziano Gentili, MATEMATICA PER DISCIPLINE BIOMEDICHE. McGraw-Hill
2) Vinicio Villani- Graziano Gentili, MATEMATICA: Comprendere e interpretare fenomeni delle scienze della vita. McGraw-Hill
Assessment methods
The assessment of the acquisition of the mathematical tools necessary to work on applications is made by means of regular written proofs during the teaching, and a final test, with exercises direct to applications, where the use of the mathematical tools is the end to achieve a precise numerical result.
Further information
The assessment of the acquisition of the mathematical tools necessary to work on applications is made by means of regular written proofs during the teaching, and a final test, with exercises direct to applications, where the use of the mathematical tools is the end to achieve a precise numerical result.
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