First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
MECHANIC AND MECHATRONIC ENGINEERING
Course unit
MATHEMATICAL ANALYSIS 1 (Ult. due numeri di matricola da 34 a 66)
IN10100190, A.A. 2016/17

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

Information on the course unit
Degree course First cycle degree in
MECHANIC AND MECHATRONIC ENGINEERING
IN0516, Degree course structure A.Y. 2011/12, A.Y. 2016/17
Penult1502
bring this page
with you
Degree course track Common track
Number of ECTS credits allocated 12.0
Type of assessment Mark
Course unit English denomination MATHEMATICAL ANALYSIS 1
Department of reference Department of Management and Engineering
E-Learning website https://elearning.unipd.it/dtg/course/view.php?idnumber=2016-IN0516-000ZZ-2016-IN10100190-PENULT1502
Mandatory attendance No
Language of instruction Italian
Branch VICENZA
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 LAURA CARAVENNA MAT/05
Other lecturers ANDREA CENTOMO

Mutuating
Course unit code Course unit name Teacher in charge Degree course code
IN10100190 MATHEMATICAL ANALYSIS 1 (Ult. due numeri di matricola da 34 a 66) LAURA CARAVENNA IN0509

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/05 Mathematical Analysis 12.0
Basic courses MAT/05 Mathematical Analysis 12.0

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

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 12.0 96 204.0 No turn

Calendar
Start of activities 26/09/2016
End of activities 20/01/2017
Show course schedule 2018/19 Reg.2011 course timetable

Examination board
Board From To Members of the board
16 2018 canale 1 01/10/2018 15/03/2020 CASARINO VALENTINA (Presidente)
CARAVENNA LAURA (Membro Effettivo)
ALBERTINI FRANCESCA (Supplente)
ROSSI FRANCESCO (Supplente)
15 2017 canale 2 01/10/2017 15/03/2019 CARAVENNA LAURA (Presidente)
ALBERTINI FRANCESCA (Membro Effettivo)
CASARINO VALENTINA (Supplente)
MOTTA MONICA (Supplente)
14 2017 canale 1 01/10/2017 15/03/2019 MOTTA MONICA (Presidente)
ALBERTINI FRANCESCA (Membro Effettivo)
CARAVENNA LAURA (Supplente)
CASARINO VALENTINA (Supplente)
13 2016 canale 2 01/10/2016 15/03/2018 CARAVENNA LAURA (Presidente)
ALBERTINI FRANCESCA (Membro Effettivo)
CASARINO VALENTINA (Supplente)
MOTTA MONICA (Supplente)
12 2016 canale 1 01/10/2016 15/03/2018 MOTTA MONICA (Presidente)
ALBERTINI FRANCESCA (Membro Effettivo)
CARAVENNA LAURA (Supplente)
CASARINO VALENTINA (Supplente)

Syllabus
Prerequisites: Algebra of polynomials and of quotients of polynomials. Systems of equations and inequalities. Lines, circles, ellipses, parabolas and hyperbolae in the Euclidean plane. Basics on trigonometric functions (sinus, cosinus, tangent, cotangent), equations and inequalities involving these functions.

ONLINE PRECALCULUS COURSE *GRATIS*
https://learn.eduopen.org/eduopen/course_details.php?courseid=109
Target skills and knowledge: The aim of this course consists of
- learning concepts at the very basis of Mathematical Analysis, that will be needed for example for modelling purposes;
- mastering cosciently the elementary techniques for solving basic exercises on the different topics that will be presented.
Examination methods: There will be a written part and an oral part. The two parts both consit of
- solving problems and
- answering questions on the theory, from a detailed program given during the course.
Assessment criteria: Correctness and consistency of answers and explanations.

All parts of the final assessment should be sufficient in order to pass the exam. The commitment shown during the term might also contribute to the final evaluation.
Course unit contents: Number sets: Natural Numbers, Integers, Rational Numbers, Irrational Numbers, Real Numbers.
Basics in Combinatorial Calculus and Set Theory.
Maximum, minimum, infimum and supremum of number sets.
Sequences of number, orders of inifinities and of infinitesimals.
Functions of one real variable: elementary functions, limits, continuity, monotonicity, invertibility. Differential calculus in one real variable, convexity and concavity. Taylor expansions with applications to limits and to compute derivatives. Study of functions.
Number series.
Riemann integrals in one real variable: indefinitive, proper and generalized integrals.
Introduction to calculus in several variables, mostly two.
Planned learning activities and teaching methods: Lectures, exercise classes, individual and/or group study and practice, tutorial activities.
Additional notes about suggested reading: See book below, other ones for related material or exercises will be suggested in the first lecture.

Rough notes and exerciese from lectures are put in Moodle mostly weekly since the beginning of the course.

A library is also available close to classrooms.

Online precalculus course *gratis*:
https://learn.eduopen.org/eduopen/course_details.php?courseid=109
Textbooks (and optional supplementary readings)
  • Bramanti, Marco; Salsa, Sandro, Analisi matematica 1con elementi di geometria e algebra lineare. Bologna: Zanichelli, 2014. Altre edizioni recenti del libro vanno ugualmente bene, in particolare darĂ² riferimenti sull'edizione del 2008 Cerca nel catalogo
  • C. Canuto, A. Tabacco, Analisi Matematica 1. --: Springer Verlag, 2008. Cerca nel catalogo
  • Eserciziari, esercizi e temi d'esame consigliati a lezione, --. --: --, --.
  • Bramanti, Marco, Esercitazioni di analisi matematica 1. Bologna: Esculapio, 2011. Cerca nel catalogo