66979 - Basic Principles Of Mathematics, Probability and Statistics (A-L)

Academic Year 2019/2020

Learning outcomes

At the end of the course the student has gained a basic knowledge of undergraduate level mathematics necessary for the solution of both classical and modern problems in biological science. This includes a basic knowledge of calculus, linear algebra, probability, and statistics

Course contents

1) Differential calculus: limits, derivatices, estrema of a function, convexity. Qualitative study of functions.

2) Integral calculus: definition of integral and main properties, integration techniques (by parts, change of variable). Improper integrals.

3) Differential equations.

4) Elements of linear algebra: linear systems, linear maps, matrices.

5) Elements of probability abd statistics.

Readings/Bibliography

Suggested textbook:

M. Abate, "Matematica e statistica - le basi per le scienze della vita", McGraw-Hill

Another book useful for some topics:

A. Guerraggio, "Matematica per le scienze", Pearson

Teaching methods

Class lessons: learning of mathematical concepts takes place with the help of examples taken from natural phoenomena.

Also, exercises are held weekly.

Assessment methods

A written exam including both exercises and theoretical questions.

Office hours

See the website of Carlo Alberto Bosello

See the website of Augusto Muracchini