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Second cycle
degree courses
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degree courses
School of Engineering
Course unit
MATHEMATICAL ANALYSIS 1 (Ult. numero di matricola dispari)
IN10100190, 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
IN0509, Degree course structure A.Y. 2011/12, A.Y. 2019/20
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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
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 SERGIO ZOCCANTE

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
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 of
Individual study
Lecture 12.0 96 204.0 No turn

Start of activities 23/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2011 course timetable

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.

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: The exam will mostly consist in two parts, usually one just after the other:
1. Answering about three questions on the theory covered during the course.
2. Solving about three or four problems.
During the semester there will be weekly assignments, which could contribute to the final evaluation. These assignments will be fundamental for preparing the final written exam.
Assessment criteria: Richness, correctness, clearness and consistency of answers and explanations.
The final evaluation will be determined by an average of the evaluation of
1. the knowledge of the theory, as demostrated by the student in the first part of the exam, and
2. the competences in problem solving, as demostrated in the second part of the exam.
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.
In case of doubts, an additional mandatory colloqium will be required by the professor.
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 with weekly assignmenets, tutorial activities, online quiz and online numerical open questions.
Additional notes about suggested reading: Rough notes and exerciese from lectures are available in Moodle almost daily or weekly during the course.
Standard books on calculus could be used.
A library is also available close to classrooms.

Online precalculus course *gratis*:
Textbooks (and optional supplementary readings)