# MATHEMATICS AND EXERCISES - PART 1

2019/2020
Official course title
ISTITUZIONI DI MATEMATICA CON ESERCITAZIONI - MOD.1
Course code
CT0245 (AF:306434 AR:165983)
Modality
On campus classes
ECTS credits
6 out of 12 of MATHEMATICS AND EXERCISES
Degree level
Bachelor's Degree Programme
Educational sector code
MAT/05
Period
1st Semester
Course year
1
Where
VENEZIA
Moodle
Go to Moodle page
The course belongs to the core educational activities on Mathematics, Physics and Statistics. The Course aims to provide students with theoretical and applied fundamentals about differential calculus. Particular focus is dedicated to mathematical models that are useful in life sciences applications
To be able to study a function of a real variable.

Knowledge and understanding
- limit computation;
- derivative computation;
- study of the first derivative of a function;
- study of the second derivative of a function.

Applying knowledge
- for the study of a function;
- for mathematical modeling of simple environmental phenomena;
- for finding domain and co-domain of a function;
- for finding minima, maxima, points of inflexion, asymptotes of a function.

Self assessment
Students evaluate their own work and learning progress through exercises.
Program of mathematics and geometry of secondary school.
Mathematical models and sciences.
Relations and functions.
Domain, codomain.
logarithmic and trigonometric functions.
Limits: theorems and calculation.
Continuity of elementary functions.
Geometrical and physical meaning of the derivative.
Derivative of composite and elementary functions.
Classical theorems of differential calculus.
Higher order derivatives.
Study of a function with graphical representation.
Minima, maxima, points of inflexion.
Approximating functions: Taylor and Mac Laurin series.
- Appunti per un corso di matematica. Luciano Battaia. Available online at: http://www.batmath.it/matematica/0-appunti_uni/corso-ve.pdf
- Paul's Online Notes. Available online at: http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx .
The final exam will be in written form.
-Front lectures;
- Exercise sessions in class;
written
Definitive programme.
Last update of the programme: 13/09/2019