1041434 | CALCULATION, BIOSTATISTICS and MATHEMATICAL METHODS for BIOLOGY | 1st | 12 | MAT/07, MAT/07 | ITA |
Educational objectives General skills
This course concerns the applications of the fundamentals tools of calculus, probability and statistics to the solution of problems emerging within Natural Sciences, with a specific reference to Biological Sciences.
The main goal is for learners to understand the basic concepts of linear algebra, differential and integral calculus, discrete and continuous probability, as well as their application to the analysis of empirical data in biological sciences, in particular in the realm of genetics and evolution sciences.
The fact that students actually have the mentioned pre-knowledge is certified by the entrance test or, when appropriate, by the OFA course and exam.
The course includes both lectures and exercise sessions, aiming to test the ability of the students to apply the theoretical knowledge to the solution of concrete problems.
Specific skills
A) Knowledge and understanding
Knowledge and understanding of the basic notions of linear algebra (vectors, matrices, linear systems).
Knowledge and understanding of the concept of limit and of the fundamentals of differential and integral calculus.
Knowledge and understanding of the fundamentals of probability theory and of some tools of inferential and descriptive statistics.
Knowledge and understanding of data mining and of the diagrammatic representation of row data.
Knowledge and understanding of statistical tests for the analysis of empirical data.
B) Applying knowledge and understanding
Ability to properly use the specific terminology of mathematics and statistics.
Ability to translate a concrete problem, appearing e.g. in the context of Biological Sciences, to a corresponding mathematical problem, by a suitable procedure involving approximation, abstraction, and modeling.
Ability to use deductive reasoning in an abstract setting.
Ability to recognize the mathematical tools and concepts appearing within other courses (specifically: Physics, Chemistry, Genetics, Ecology) and to properly use them.
Ability to find the most convenient procedure to solve simple mathematical problems.
Ability to use appropriate software to treat and analyze empirical data.
C) Making judgements
Ability to autonomously judge the validity of a mathematical statement, through a critical analysis of the hypotheses and of the deductive steps leading to the proof of the statement itself.
Ability to autonomously formulate counterexamples to mathematical statements, whenever one of the hypotheses is denied.
Ability to self-questioning.
Ability to autonomously evaluate the validity of a theoretical model, through suitable statistical tests on the empirical data collected in a laboratory.
D) Communication skills
Ability to communicate what has been learned through written themes and oral exams.
Ability to formulate a logically structured speech, clearly distinguishing between hypotheses, deduction and thesis.
E) Learning skills
Learning the specific terminology.
Ability to make the logical connections between the topics covered.
Ability to identify the most relevant topic
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THREE-DIMENSIONAL MODELING | 1st | 9 | MAT/07, MAT/07 | ITA |
Educational objectives General skills
This course concerns the applications of the fundamentals tools of calculus, probability and statistics to the solution of problems emerging within Natural Sciences, with a specific reference to Biological Sciences.
The main goal is for learners to understand the basic concepts of linear algebra, differential and integral calculus, discrete and continuous probability, as well as their application to the analysis of empirical data in biological sciences, in particular in the realm of genetics and evolution sciences.
The fact that students actually have the mentioned pre-knowledge is certified by the entrance test or, when appropriate, by the OFA course and exam.
The course includes both lectures and exercise sessions, aiming to test the ability of the students to apply the theoretical knowledge to the solution of concrete problems.
Specific skills
A) Knowledge and understanding
Knowledge and understanding of the basic notions of linear algebra (vectors, matrices, linear systems).
Knowledge and understanding of the concept of limit and of the fundamentals of differential and integral calculus.
Knowledge and understanding of the fundamentals of probability theory and of some tools of inferential and descriptive statistics.
Knowledge and understanding of data mining and of the diagrammatic representation of row data.
Knowledge and understanding of statistical tests for the analysis of empirical data.
B) Applying knowledge and understanding
Ability to properly use the specific terminology of mathematics and statistics.
Ability to translate a concrete problem, appearing e.g. in the context of Biological Sciences, to a corresponding mathematical problem, by a suitable procedure involving approximation, abstraction, and modeling.
Ability to use deductive reasoning in an abstract setting.
Ability to recognize the mathematical tools and concepts appearing within other courses (specifically: Physics, Chemistry, Genetics, Ecology) and to properly use them.
Ability to find the most convenient procedure to solve simple mathematical problems.
Ability to use appropriate software to treat and analyze empirical data.
C) Making judgements
Ability to autonomously judge the validity of a mathematical statement, through a critical analysis of the hypotheses and of the deductive steps leading to the proof of the statement itself.
Ability to autonomously formulate counterexamples to mathematical statements, whenever one of the hypotheses is denied.
Ability to self-questioning.
Ability to autonomously evaluate the validity of a theoretical model, through suitable statistical tests on the empirical data collected in a laboratory.
D) Communication skills
Ability to communicate what has been learned through written themes and oral exams.
Ability to formulate a logically structured speech, clearly distinguishing between hypotheses, deduction and thesis.
E) Learning skills
Learning the specific terminology.
Ability to make the logical connections between the topics covered.
Ability to identify the most relevant topic
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1016546 | GENERAL AND INORGANIC CHEMISTRY | 1st | 9 | CHIM/03, CHIM/03 | ITA |
Educational objectives The students at the end of the course will be able:
A) Knowledge and understanding
To know the most common chemical elements, their properties and the way they behave in simple chemical reactions, being able to solve exercises on stoichiometric calculations and equilibrium reactions in solution;
To know the principal classes of substances (acids, bases and salts) and their behaviour in aqueous solutions by applying fundamental thermodynamic properties;
To understand qualitative and quantitative aspects of chemical transformations, as described in lessons and tutorials;
To use reference basic chemistry manuals and handbooks to understand more advanced courses.
B) Applying knowledge and understanding
To apply the basic chemical knowledge to correlate the macroscopic properties and the elemental structure of matter at the level of chemical elements and simple molecules.
C) Making judgements
To critical think through the historical survey of the main discoveries in chemistry
To learn by questioning.
D) Communication skills
To communicate the acquired theoretical and the experimental knowledge.
E) Learning skills
To learn the specific terminology;
To make the logical connections between the topics covered;
To identify the most relevant topics.
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1011792 | CELLULAR BIOLOGY AND HISTOLOGY | 1st | 9 | BIO/06 | ITA |
Educational objectives General skills
This course is designed to explore the fundamentals of cell biology and tissue structure. The main goal is for learners to understand how molecular and cellular components are organized, how cells work, what are the structure and functions of differentiated cells in human tissues. High school basics in chemistry and biochemistry are assumed knowledge for the course. General and Inorganic Chemistry contents (taught in the same semester) are advantageous. The course includes classroom lectures and learning laboratory sessions. During lab sessions, students learn how the histological techniques work, how the images observed with the traditional light microscope can be interpreted for recognizing structural features of the main tissues and how to use the Virtual microscope, a learning resource freely accessible over the Web, for reviewing histological material.
Specific skills
A) Knowledge and understanding
-knowing and understanding the chemical composition and the structure of prokaryotic and eukaryotic cells
-knowing and understanding cellular activities through the functions of the specialized cellular components and organelles
-knowing and understanding structural and functional properties of differentiated cells of human tissues
-knowing and understanding how study methods work in cytology and histology.
B) Applying knowledge and understanding
- be able to use the specific terminology
- practicing problem solving in Cell Biology
- be able of identifying cells and tissue types in the histological preparations.
C) Making judgements
- critical thinking through the historical survey of the main discoveries in cell biology with the detailed analysis of the fundamental experiments
- learning by questioning
D) Communication skills
-be able to communicate what has been learned during the oral exam
E) Learning skills
- learning the specific terminology
- be able to make the logical connections between the topics covered
- be able to identify the most relevant topics
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1047903 | BOTANY AND PLANT DIVERSITY | 2nd | 9 | BIO/01, BIO/01 | ITA |
Educational objectives General skills
The teaching covers plant cytology, histology, anatomy, reproduction and systematics. The main objective of the teaching is to allow the students to acquire the fundamental knowledge about the structure and functions of plant cells, tissues and organs. Knowledge and understanding of classification methods. Concept of species, taxonomic ranks and nomenclature. Characters with taxonomic value of plant organisms (Cyanobacteria, Algae, Briophytes, Pteridophytes, Gymnosperms, Angiosperms and Fungi). The teaching requires basic knowledge of chemistry and biochemistry acquired in high school, which is considered ascertained by passing the entrance test. The initial contents of the knowledge on the properties of atoms and molecules acquired during the teaching of General and Inorganic Chemistry (taught in the same semester). The teaching includes lectures and laboratory experiences, dedicated to learning basic histological techniques and the use of the optical microscope for observation of cells and tissues.
Specific objectives
A) Knowledge and understanding
-Knowledge of the structural peculiarities of the plant cell, prokaryotic and eukaryotic, with reference to Cyanobacteria, Algae, Briophytes, Pteridophytes, Gymnosperms, Angiosperms and Fungi
-Knowledge and understanding of the various levels of plant organization: cellular, tissue, organ and organism -
- Knowledge and understanding of the main methods to study plant cytology, histology and organography
- Knowledge and understanding of the classification of flowering plants with a phylogenetic approach
B) Applying knowledge and understanding
- be able to use a specific terminology
- practicing problem solving in Plant Biology
- be able to identify plant cells and tissue types in the histological preparations.
-be able to identify and recognize the main morphological characters and use tools (dichotomous analytical keys) for the recognition of plants
C) Making judgements
- acquire the ability to recognize the interrelations between structure and function at different levels of organization, from the subcellular to the organ level
- learning by questioning
D) Communication skills
- be able to communicate what has been learned during the lectures, the laboratory experiences and during the study
E) Learning skills
- learn the specific terminology of the matter
- logically connect the acquired knowledge
- identify the most relevant topics of the matter
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1011790 | PHYSICS | 2nd | 9 | FIS/01, FIS/01 | ITA |
Educational objectives General skills
The Physics course deals with basic principles of mechanics, thermodynamics, electricity and magnetism. The main aim of the course is to enable students to acquire knowledge of fundamental physical phenomena and - in particular - to describe them through physical laws and mathematical models. At the end of the course, a student should have acquired the ability to formalize a simple problem through the identification of the physical laws that characterize it, and to quantitatively compute the corresponding solution. The final objective is the acquisition of a rigorous scientific method that can be applied to any scientific topic the students will study in the future, going beyond simple problems in classical physics.
The course requires basic knowledge of analytical and numerical calculation and is delivered through classroom lectures, dedicated to the presentation of physical phenomena and the laws that describe them, and through exercise sessions aimed at consolidating the understanding of physical phenomena and their application to specific problems.
In addition, the course foresees a series of self-evaluation activities (quiz on the web-based platform elearning) and two intermediate written tests (the first one at the mid of the course and the second one at the end).
Specific skills
A) Knowledge and understanding
- have demonstrated knowledge and understanding of the physical laws of classical mechanics, in particular the three Newton's laws and the laws of energy and momentum conservation;
- have demonstrated knowledge and understanding of the physical laws of fluid dynamics and thermodynamics, with examples of applications in biology;
- have demonstrated knowledge and understanding of the physical laws of electricity and magnetism, with examples of applications in biology.
B) Applying knowledge and understanding
- can apply their knowledge to describe a physical phenomenon, first in a qualitative way and then in a quantitative way, discriminating the dominant effects from the secondary ones;
- have the ability to represent in a rigorous way a physical phenomenon through the identification of the physical laws that describe it;
- have the ability to identify the best method to find the solution of simple physical problems.
C) Making judgements
- have the ability to apply their knowledge and make their judgements through devising the solution to physical problems.
D) Communication skills
- can communicate their knowledge using a proper and rigorous scientific language.
E) Learning skills
- have learnt the specific terminology;
- have acquired the ability the logical connections between different topics presented in the course.
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1011788 | GENETICS | 2nd | 9 | BIO/18, BIO/18 | ITA |
Educational objectives General skills
The course provides students with a basic knowledge of Genetics aimed at understanding the rules of inheritance, their molecular bases, their main applications and their implications for evolution. In addition, the course will allow students to understand how genetic information is encoded at the DNA level and how the biochemical processes of the cell translate genetic information into a phenotype. The course aims to achieve these objectives through an analysis of the experimental evidences and their interpretation.
Specific skills
A) Knowledge and understanding
-Knowledge and understanding of the characteristics of the genetic material
-Knowledge and understanding of the rules of genetic transmission
-Knowledge and understanding of mutations and their implications
-Basic knowledge on the dynamics of genes in populations as well as on the genetic mechanisms underlying evolution
B) Applying knowledge and understanding
- usage of a proper genetic terminology
- identification of the right procedures to solve genetic problems
- formulation of hypotheses on the hereditary transmission of characters
- constructing and interpreting genetic maps and genealogical trees
- acquisition of conceptual tools for the genetic dissection of biological systems
- utilizing basic biostatistical methodologies for data analysis and hypothesis testing
C) Making judgements
- Acquisition of a critical judgment capacity on solving problems of formal genetics, through the study of the evolution of the gene concept from Mendel to the present day and the detailed analysis of some fundamental experiments.
- Addressing questions for the elaboration and deepening of the gained information
D) Communication skills
- communicating the genetic concepts acquired during the course with appropriate terminology
E) Learning skills
- logically connecting the acquired knowledge
- identification of the most relevant topics of the issues discussed during the course
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1041434 | CALCULATION, BIOSTATISTICS and MATHEMATICAL METHODS for BIOLOGY | 2nd | 12 | MAT/07, MAT/07 | ITA |
Educational objectives General skills
This course concerns the applications of the fundamentals tools of calculus, probability and statistics to the solution of problems emerging within Natural Sciences, with a specific reference to Biological Sciences.
The main goal is for learners to understand the basic concepts of linear algebra, differential and integral calculus, discrete and continuous probability, as well as their application to the analysis of empirical data in biological sciences, in particular in the realm of genetics and evolution sciences.
The fact that students actually have the mentioned pre-knowledge is certified by the entrance test or, when appropriate, by the OFA course and exam.
The course includes both lectures and exercise sessions, aiming to test the ability of the students to apply the theoretical knowledge to the solution of concrete problems.
Specific skills
A) Knowledge and understanding
Knowledge and understanding of the basic notions of linear algebra (vectors, matrices, linear systems).
Knowledge and understanding of the concept of limit and of the fundamentals of differential and integral calculus.
Knowledge and understanding of the fundamentals of probability theory and of some tools of inferential and descriptive statistics.
Knowledge and understanding of data mining and of the diagrammatic representation of row data.
Knowledge and understanding of statistical tests for the analysis of empirical data.
B) Applying knowledge and understanding
Ability to properly use the specific terminology of mathematics and statistics.
Ability to translate a concrete problem, appearing e.g. in the context of Biological Sciences, to a corresponding mathematical problem, by a suitable procedure involving approximation, abstraction, and modeling.
Ability to use deductive reasoning in an abstract setting.
Ability to recognize the mathematical tools and concepts appearing within other courses (specifically: Physics, Chemistry, Genetics, Ecology) and to properly use them.
Ability to find the most convenient procedure to solve simple mathematical problems.
Ability to use appropriate software to treat and analyze empirical data.
C) Making judgements
Ability to autonomously judge the validity of a mathematical statement, through a critical analysis of the hypotheses and of the deductive steps leading to the proof of the statement itself.
Ability to autonomously formulate counterexamples to mathematical statements, whenever one of the hypotheses is denied.
Ability to self-questioning.
Ability to autonomously evaluate the validity of a theoretical model, through suitable statistical tests on the empirical data collected in a laboratory.
D) Communication skills
Ability to communicate what has been learned through written themes and oral exams.
Ability to formulate a logically structured speech, clearly distinguishing between hypotheses, deduction and thesis.
E) Learning skills
Learning the specific terminology.
Ability to make the logical connections between the topics covered.
Ability to identify the most relevant topic
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THREE-DIMENSIONAL MODELING | 2nd | 3 | MAT/07 | ITA |
Educational objectives General skills
This course concerns the applications of the fundamentals tools of calculus, probability and statistics to the solution of problems emerging within Natural Sciences, with a specific reference to Biological Sciences.
The main goal is for learners to understand the basic concepts of linear algebra, differential and integral calculus, discrete and continuous probability, as well as their application to the analysis of empirical data in biological sciences, in particular in the realm of genetics and evolution sciences.
The second part of the course (MMIB) is devoted to teach how to perform a statistical analysis of empirical data, also exploiting an appropriate software.
It is assumed that students entering the course know the basics of elementary mathematics from the high school. The fact that students actually have the mentioned pre-knowledge is certified by the entrance test or, when appropriate, by the OFA course and exam.
The course includes both lectures and exercise sessions, aiming to test the ability of the students to apply the theoretical knowledge to the solution of concrete problems. The second part of the course (MMIB) include as well some exercise sessions in the computer lab, where students apply their knowledge to the statistical analysis of biological data.
Specific skills
A) Knowledge and understanding
• Knowledge and understanding of the basic notions of linear algebra (vectors, matrices, linear systems).
• Knowledge and understanding of the concept of limit and of the fundamentals of differential and integral calculus.
• Knowledge and understanding of the fundamentals of probability theory and of some tools of inferential and descriptive statistics.
• Knowledge and understanding of data mining and of the diagrammatic representation of row data.
• Knowledge and understanding of statistical tests for the analysis of empirical data.
B) Applying knowledge and understanding
• Ability to properly use the specific terminology of mathematics and statistics.
• Ability to translate a concrete problem, appearing e.g. in the context of Biological Sciences, to a corresponding mathematical problem, by a suitable procedure involving approximation, abstraction, and modeling.
• Ability to use deductive reasoning in an abstract setting.
• Ability to recognize the mathematical tools and concepts appearing within other courses (specifically: Physics, Chemistry, Genetics, Ecology) and to properly use them.
• Ability to find the most convenient procedure to solve simple mathematical problems.
• Ability to use appropriate software to treat and analyze empirical data.
C) Making judgements
• Ability to autonomously judge the validity of a mathematical statement, through a critical analysis of the hypotheses and of the deductive steps leading to the proof of the statement itself.
• Ability to autonomously formulate counterexamples to mathematical statements, whenever one of the hypotheses is denied.
• Ability to self-questioning.
• Ability to autonomously evaluate the validity of a theoretical model, through suitable statistical tests on the empirical data collected in a laboratory.
D) Communication skills
• Ability to communicate what has been learned through written themes and oral exams.
• Ability to formulate a logically structured speech, clearly distinguishing between hypotheses, deduction and thesis.
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