
Course unit
MATHEMATICS AND BIOMATHEMATICS
AG01122608, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
ECTS: details
Type 
ScientificDisciplinary 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 
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:

Studentsâ€™ 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 inclass participation throughout the course, in order to learn the content presented in class, that will also be made available online by the teacher. 
Textbooks (and optional supplementary readings) 


