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B015437 - MATHEMATICS
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Further information
Type of Assessment
Course program
Academic Year 2014-15
Course year
First year -
Belonging Department
Biology (BIO)
Course Type
Single education field course
Scientific Area
MAT/07 - MATHEMATICAL PHYSICS
Credits
12
Teaching Hours
108
Teaching Term
⇒
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
Teaching Language
Italian
Course Content
Functions of a real variable, Linear algebra, vector spaces, matrices. Limits of numerical sequences and of functions, continuous functions, derivatives, local and asymptotical analysis of functions, Taylor polynomials. Riemann integral. Maps between multidimensional real spaces. Ordinary differential equations. Basics of combinatorial calculus, of probability, of descriptive and inferential statistics and of graph theory. Mathematical modeling of simple natural phenomena.
Suggested readings (Search our library's catalogue)
- Rosso F., Fusi L., Matematica per le lauree triennali, CEDAM, 2013
- Rosso F., Fusi L., Esercizi di matematica per le lauree triennali, CEDAM, 2013
- teacher's notes and further supplementary materials, indicated during the course and on the web page
http://www.math.unifi.it/users/dolcetti
- Rosso F., Fusi L., Esercizi di matematica per le lauree triennali, CEDAM, 2013
- teacher's notes and further supplementary materials, indicated during the course and on the web page
http://www.math.unifi.it/users/dolcetti
Learning Objectives
Knolewdge acquired:
Basics of linear algebra, vector spaces and matrices.
Functions of a real variable, limits, derivatives and integrals. Maps between multidimensional real spaces. Ordinary differential equations.
Basics of combinatorial calculus, of probability, of descriptive and inferential statistics and of graph theory.
Mathematical modeling of simple natural phenomena.
Competence acquired:
basic mathematical competences on the mentioned topics with particular attention to the applications, without neglecting the conceptual and logical rigor.
Skills acquired (at the end of the course):
to be able to face and solve mathematical problems in the context of the on the discussed topics. To be able to understand and use mathematical models of simple natural phenomena.
Basics of linear algebra, vector spaces and matrices.
Functions of a real variable, limits, derivatives and integrals. Maps between multidimensional real spaces. Ordinary differential equations.
Basics of combinatorial calculus, of probability, of descriptive and inferential statistics and of graph theory.
Mathematical modeling of simple natural phenomena.
Competence acquired:
basic mathematical competences on the mentioned topics with particular attention to the applications, without neglecting the conceptual and logical rigor.
Skills acquired (at the end of the course):
to be able to face and solve mathematical problems in the context of the on the discussed topics. To be able to understand and use mathematical models of simple natural phenomena.
Prerequisites
It is highly desirable that students have acquired in high school a good familiarity with mathematics and with his basic tools and methods.
Teaching Methods
Intermediate examinations: 0Stages: 0Seminars (hours): 0Contact hours for: Laboratory-field/practice (hours): 0Contact hours for: Laboratory (hours): 0Contact hours for: Lectures (hours): 108Hours reserved to private study and other indivual formative activities: 192Total hours of the course (including the time spent in attending lectures, seminars, private study, examinations, etc...): 300
Further information
Frequency of lectures, practice and lab:
Strongly recommended
Teaching tools:
The course is supported on teacher's web page
http://www.math.unifi.it/users/dolcetti
Office hours:
To be determined.
They will be indicated on the university institutional web pages and on teacher's web page
http://www.math.unifi.it/users/dolcetti
for further informations:
alberto.dolcetti@unifi.it
Strongly recommended
Teaching tools:
The course is supported on teacher's web page
http://www.math.unifi.it/users/dolcetti
Office hours:
To be determined.
They will be indicated on the university institutional web pages and on teacher's web page
http://www.math.unifi.it/users/dolcetti
for further informations:
alberto.dolcetti@unifi.it
Type of Assessment
obligatory written test followed by an oral examination.
Course program
Functions of a real variable, Linear algebra, vector spaces, matrices. Limits of numerical sequences and of functions, continuous functions, derivatives, local and asymptotical analysis of functions, Taylor polynomials. Riemann integral. Maps between multidimensional real spaces. Ordinary differential equations. Basics of combinatorial calculus, of probability, of descriptive and inferential statistics and of graph theory. Mathematical modeling of simple natural phenomena.