
Course unit
MATHEMATICS
AVP7077918, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
Integrated course for this unit
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Basic courses 
MAT/07 
Mathematical Physics 
7.0 
Course unit organization
Period 
First semester 
Year 
1st Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Practice 
2.0 
16 
34.0 
No turn 
Lecture 
5.0 
40 
85.0 
No turn 
Common characteristics of the Integrated Course unit
Prerequisites:

Knowledges of elementary algebra (common denominator, algebraic expressions, simplification), simple and quadratic equations, and simple inequalities are prerequisites of the Mathematics and Applied Informatics course. 
Target skills and knowledge:

On successful completion of the course a student will be able to:
MATHEMATICS
1) understand the basic concepts of mathematical analysis in a real variable;
2) carry out a study of a function in one variable;
3) understand the basic elements of integral calculus;
4) identify maxima and minima of a function in two variables.
APPLIED INFORMATICS
1) use the exploratory data analysis to summarize real/experimental information;
2) interpret the results of statistical analysis, also in terms of biological meaning;
3) use the main features of a spreadsheet (Excel) to manage and analyse the data, and of PowerPoint to present the results using, for example, tables and figures. 
Examination methods:

The successful completion of the Mathematics and Applied Informatics course is achieved after:
 completion of a written exam for the Mathematics module;
 completion of a written exam for the Applied Informatics module.
Both the Mathematics and Applied Informatics examinations are based on questions and exercises. In order to provide the student with the opportunity to measure his/her preparation level, an optional midsemester test will be scheduled. The date of the test is planned in agreement with lecturers holding courses in the first semester of the firs year. A positive outcome of the test does not exempt the student from the final exam. Examples of midsemester tests and final exams used in previous academic years will be provided.
Lecturers of the course will assess the two modules and the final score will be the arithmetic mean of the outcomes of the two modules. 
Assessment criteria:

Assessment criteria to check the preparation of the student are:
1) knowledge of topics presented during classes;
2) ability of using the appropriate terminology;
3) ability of using the appropriate tools and methodologies to solve specific problems. 
Specific characteristics of the Module
Course unit contents:

The language of mathematics, the straight line and the real numbers, sequences of real numbers, limits of sequences.
The Cartesian plane, straight lines on the plane, parabolas.
Functions and properties of functions, elementary functions, powers, exponential, logarithm, trigonometric functions. Surjective, injective, invertible functions, composition of functions. Equations and inequalities with exponentials and logarithms.
Limits of functions, continuous functions, change of variables in limits, asymptotes.
Derivatives, derivation rules. Use of derivatives for the study of function. Maxima and minima. Convexity. L'Hopitalâ€™s rule.
Integral and primitive functions, rules of integration, definite integral and area calculation.
Complements: functions of two variables, partial derivatives, critical points, maxima and minima, Lagrange method. 
Planned learning activities and teaching methods:

The course is proposed through theoretical lessons (36 hours) and exercises (20 hours).
The lessons will be carried out through the use of the projector, the blackboard and the interactive multimedia supports.
The theoretical explanations will be interspersed with examples and short exercises to get realtime feedback by the students on the discussion of the topics. 
Additional notes about suggested reading:

The module is covered by slides prepared by the teacher and made available during the lecture period on the elearning platform of the University of Padua. In particular, the student can connect to the elearning platform of the School of Agriculture and Veterinary Medicine:
https://elearning.unipd.it/scuolaamv/
and follow the various links leading to the degree course in Science and Culture of Gastronomy and Catering and to the page of the Mathematics module. For access to the private area, in addition to the personal password, a specific password is required for the module, which will be provided by the teacher in class (can also be requested via email using your institutional address name.surname@studenti.unipd.it).
We strongly recommend that the student follows and studies the subjects done in class day by day. In particular, it is advisable to study the slides in the same order they are provided. In fact, in the first part of the course we have included exercises that gradually introduce the technical difficulties that will then be encountered in the exercises of the second part, including the study of function. For this reason, even if some exercises can be carried out with alternative methods, it is important to understand the solution method proposed by the teacher, because it will also serve later.
The nonattending students can contact the teacher who will provide the indications and the material for the preparation of the exam. 
Textbooks (and optional supplementary readings) 


