Course teached as: - MATEMATICA E LABORATORIO 3-years First Cycle Degree (DM 270/04) in WILDLIFE SCIENCES
Teaching Language - Part A
Italian
Course Content - Part A
Mathematical expressions.
Formalism of vectors.
Trigonometry.
Concept of limit; differential and integral calculus.
Analytic study of functions.
First order ordinary differential equations. Elements of probability and statistics. Elements of electronic spreadsheets.
Notes for the course in Mathematics freely available on the Moodle page of the course.
Learning Objectives - Part A
Knowledge and comprehension of the mathematical formalism relevant to the characterizing courses of the cursus studiorum.
Ability on applying the knowledge and comprehension on mathematica tools to describe and solve problems.
Autonomy of judgement on critical evaluation of a mathematical text, on selecting a proper path to the solution of problems, and on the verification of achieved results.
Comunicative skills on translating data described in current Italian language into mathematical formalism and viceversa.
Ability on learning concepts of modern mathematics such as differential and integral calculus.
Prerequisites - Part A
Arithmetics of real numbers.
Notions of synthetic geometry.
Notions of literal calculus.
Teaching Methods - Part A
Frontal lessons complemented by recorded videos available on the Moodle platform.
Further information - Part A
Every student in need of specific auxiliary support can request it by email to the professor.
Type of Assessment - Part A
The exam is oral, in presence. To grant access to the exam is mandatory to take a test consisting of 11 multiple choice questions.
Course program - Part A
Real numbers and algebraic laws: powers of ten; percent and proportions; means.
Algebraic expressions: verification of correctness; ste of variability; subordinate expressions; conditions for existence; domain; transformation of an expression.
Euclidean distance: Cartesian coordinates on a straight line, on a plane, on the space; Pythagoras theorem and calculus of distance.
Angles: not oriented and oriented; sine, cosine, tangent, cotangent, and their inverse of the measure of an angle; polar coordinates.
Straight lines on a plane: how to determine the cartesian equation.
Vectors, scalar product, sum of vectors, product of a scalar times a vector, canonical writing of a vector; orthogonal projection of a vector; cross product.
Equations and inequalities: techniques to solve them; determination of the sign of expressions.
Asymptotes and continuity: notion of limit; operations with limits.
Differential calculus: de l'Hospital theorem; monotonicity and sign of first derivative; second derivative and convexity; theorems on differentiable functions; critical points.
Integral calculus: definite, indefinite, improper integral and techniques of computation.
Brief remarks on differential equations.
Probability, finite and continuous distributions; inferential statistics.