First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Agricultural Sciences and Veterinary Medicine
ANIMAL SCIENCE AND TECHNOLOGY
Course unit
MATHEMATICS AND BIOMATHEMATICS
AG01122608, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course First cycle degree in
ANIMAL SCIENCE AND TECHNOLOGY
IF0325, Degree course structure A.Y. 2017/18, A.Y. 2019/20
N0
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Number of ECTS credits allocated 10.0
Type of assessment Mark
Course unit English denomination MATHEMATICS AND BIOMATHEMATICS
Website of the academic structure https://www.agrariamedicinaveterinaria.unipd.it/
Department of reference Department of Agronomy, Food, Natural Resources, Animals and the Environment
E-Learning website https://elearning.unipd.it/scuolaamv/
Mandatory attendance No
Language of instruction Italian
Branch LEGNARO (PD)
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge MARTINA CECCHETTO

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/02 Algebra 10.0

Course unit organization
Period First semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Practice 3.0 24 51.0 No turn
Lecture 7.0 56 119.0 No turn

Calendar
Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2017 course timetable

Syllabus
Prerequisites: Arithmetic, exponentials and roots, polynomials, linear and quadratic equations and inequalities, basic elements of trigonometry, analytic geometry and the Cartesian plane.
Target skills and knowledge: The undergraduate student earning a Bachelor's Degree in
Animals Science and Technology should acquire the mathematical background necessary to master concepts of calculus (functions, limits, derivatives and integrals) that are useful for learning the other subjects of his field of study.
Examination methods: To be defined
Assessment criteria: Students’ knowledge will be assessed considering both specific definitions given during the course but also by analyzing their capacity of applying the acquired knowledge to simple problem solving.
Course unit contents: Number sets: natural numbers, whole numbers, rational and real numbers.

Approximation and error: approximation, absolute error and relative error

Real functions of real variable: General. Domain and image of a function, range of existence of a function. The elementary functions. Graphs of elementary functions. Line. Parabola. Rigid motions of graphs: translations, reflections, rotations and symmetries. Transactions between functions. Composition of functions, inverse function. Reading a graph. Graphs Intersection. Trigonometric functions. Exponential and logarithmic.

Limits and Continuous function: Definition of limit. Theorems on limits. Calculation of some significant limits. Continuous functions. Continuity of elementary functions. Theorems on continuous functions.

Derivative: Definition. Derivation rules. Derivatives of elementary functions. Successive derivatives. The tangent to the graph of a function at a point. Geometric meaning of derivative. Maxima and minima. Study of the graph of a function. Plotting the graph of a function.

Integrals: Definite integral. Definition of primitive. Indefinite integral. The fundamental theorem of calculus. Application of integral calculus to areas and volumes. Calculate of integrals, method of integration by parts.

Differential equation: Definition of differential equation. Some examples of simple solution. Examples of application of differential equations.
Planned learning activities and teaching methods: Lectures in the classroom with tutorials on exercises similar to those on the final exam. The software Geogebra (freely downloadable from http://www.geogebra.org/cms/it/download/) will be used.
Additional notes about suggested reading: Recommended in-class participation throughout the course, in order to learn the content presented in class, that will also be made available on-line by the teacher.
Textbooks (and optional supplementary readings)