First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Psychology
Course unit
PSP4063395, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course First cycle degree in
PS1082, Degree course structure A.Y. 2015/16, A.Y. 2018/19
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Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination INSTITUTIONS OF MATHEMATICS
Department of reference Department of General Psychology
Mandatory attendance No
Language of instruction Italian
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

Teacher in charge GIOVANNI ZANZOTTO MAT/07

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines MAT/07 Mathematical Physics 9.0

Course unit organization
Period First semester
Year 3rd Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 9.0 63 162.0 No turn

Start of activities 01/10/2018
End of activities 18/01/2019
Show course schedule 2018/19 Reg.2015 course timetable

Examination board
Board From To Members of the board
5 2018-1 01/10/2018 30/09/2019 ZANZOTTO GIOVANNI (Presidente)
CIATTI PAOLO (Membro Effettivo)

Prerequisites: First and second degree equations and inequalities; analytic geometry on the plane; main trigonometric relations; properties of powers and logarithms.
Target skills and knowledge: The course provides the basic knowledge of differential calculus, and introduces some fundamental concepts of linear algebra with some of its main applications. The acquisition of theoretical, methodological, and applicative skills in these basic areas of mathematics is a necessary first step in understanding the fundamental results of most contemporary sciences, which increasingly use mathematics as a basic method of investigation and as universal language for understanding and communicating its results.
Examination methods: Written exam with open questions. An oral examination is also possible. The written exam (duration two hours, containing one or two theoretical questions plus 4-5 exercises, each involving a few specific questions) aims to verify that the expected learning outcomes are actually acquired by the students. The optional oral test focuses first on the discussion of the salient points of the solutions to the written test proposed by the student. This leads to a more in-depth discussion of some of the topics covered in the course.
Assessment criteria: Evaluation based on the result of the written exam (theoretical questions and exercises) and the oral questions (discussion of the written exam and theoretical questions).
Course unit contents: Recollections on the prerequisites for the course. Real functions of a real variable. Definition of limit. Theorems and operations on limits. Sequences. Continuous functions: definition and main theorems. Composite function limit; fundamental limits. Derivative. Operations with derivatives. Theorems of Rolle, Lagrange, L'Hopital. Relative and absolute maxima and minima. Concavity and convexity; flexes; asymptotes. Study of functions and graph. Simple constrained optimization problems. Differential; primitives of a function. Notes on the indefinite and definite integral, and on the fundamental theorem of integral calculus. Linear algebra: vector spaces, vectors, generators, bases, dimension, direct sum. Matrices; rank and determinant. Systems of linear equations; Rouche'-Capelli theorem and the space of solutions to a linear system. Linear systems and applications; eigenvalues ​​and eigenvectors.
Planned learning activities and teaching methods: Class lectures: presentation of the topics listed above, with demonstration of some theorems; various examples. Ample space is given to the exercises to complement the theoretical lessons, even with the direct participation of the students. A main point of the presentation of the material is highlighting of the applicative aspects of the proposed theoretical knowledge.
Additional notes about suggested reading: The textbook of the course is supplemented by handout material available at the library.
Textbooks (and optional supplementary readings)
  • A. Guerraggio, Matematica per le scienze. Torino: Pearson, 2012. Testo consigliato. Cerca nel catalogo
  • G. Artico, 333 esercizi svolti. Padova: Libreria Progetto, 2003. Eserciziario. Cerca nel catalogo
  • A. Bichara, A. Del Fra, Geometria. Bologna: Progetto Leonardo, 2005. Testo aggiuntivo. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Problem based learning
  • Questioning
  • Problem solving
  • Peer feedback
  • Active quizzes for Concept Verification Tests and class discussions
  • Students peer review

Sustainable Development Goals (SDGs)
Quality Education Reduced Inequalities Responsible Consumption and Production Life on Land