Academic Year 2019/2020 - 1° Year

12 CFU - 1° Semester

**Mathematics and Computer Science: applications in biotechnology**To show basic mathematical concepts and how they can be used in the elaboration of simple models useful for the understanding of the biological phenomena; develop the ability to calculate and manipulate the most common mathematical objects; present with sufficient accuracy some simple but significant methods of proof of mathematics to refine the logical abilities; teach to communicate clearly the rigorous concepts. Knowing the fundamentals of computer science and possible applications in biology.

**Mathematics and Computer Science: applications in biotechnology**Through lessons and practical sessions at the end of each learning unit (when planned).

**Mathematics and Computer Science: applications in biotechnology****Mathematics Section**Recalls on numerical sets and on arithmetic calculation, properties of real numbers and their consequences.

Elementary theory of sets

Elementary functions: n-th power and roots functions, exponential functions and logarithm functions: definitions, properties, graphs, applications.

Use of exponentials and logarithms in the life sciences: models for the evolution of a population.

Functions of a real variable: overview of definition domain, growth, decrescence, maximum and minimum (absolute), composition of elementary functions and their graph.

Limits: definitions, properties, rules of calculation, order of infinity and infinitesimal, graphic aspects, oblique asymptotes.

Continuous functions: definition, properties, zero theorem, approximation of the zeroes of a function (for example of the roots of a polynomial) with the bisection method.

Continuous functions: existence of maximum and minimum over a closed and limited interval. Composition of elementary functions and their graph, considering definition domain, limits at the ends of the definition domain, crescenza and decrescence, maximums and minima.

Derivatives.

Integrals: definition, properties, area calculation, approximation with the trapezoidal method.

Differential equations, notes on numerical methods of resolution. Enzymatic and molecular kinetics.**Computer Section****Basic concepts.**Fundamental concepts of information theory; General concepts: Hardware, Software; Information technology; Types of computers; Main components of a PC; Performance of a computer. Hardware: Central processing unit; Memory; Input Devices; Output peripherals; Input / output devices; Memory devices. Software: Types of software; System software; Application software; Graphical User Interface; System development.

**Introduction to algorithms.**Algorithms; Properties of the Algorithms; Description; Constants and Variables; Propositions and Predicates; Block diagrams

**Introduction to computational biomedicine.**Bioinformatics and computational modeling in biomedicine.

**Applications Section**Usage and access of the most important genomic, proteinomic and bibliographic databases

Practical examples of classical bioinformatics: assembly of genomic fragments, analysis and alignment of biosequences

Protege and ontologies: outline

COPASI: molecular modeling

Agent models: netlogo and customs systems

**Mathematics and Computer Science: applications in biotechnology**Teacher's slides