First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
COMPUTER SCIENCE
Course unit
MATHEMATICAL ANALYSIS
SCP4063959, 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
COMPUTER SCIENCE
SC1167, Degree course structure A.Y. 2011/12, A.Y. 2019/20
N0
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Number of ECTS credits allocated 12.0
Type of assessment Mark
Course unit English denomination MATHEMATICAL ANALYSIS
Website of the academic structure http://informatica.scienze.unipd.it/2019/laurea
Department of reference Department of Mathematics
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
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 CATERINA SARTORI MAT/05

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
Hours of
Individual study
Shifts
Practice 4.0 32 68.0 No turn
Lecture 8.0 64 136.0 No turn

Calendar
Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2011 course timetable

Syllabus
Prerequisites: Basic elements of Calculus (inequalities, cartesian coordinates, trigonometric, logarithmic, and exponential functions).
Target skills and knowledge: The goal of the course is to introduce the basic principles of mathematical analysis for functions of one real variable, with particular care for differential and integral calculus.
Examination methods: The exam consists of two parts: the first one tests practical problem-solving ability, the second one checks the knowledge of the theory behind the exercises.
These two parts can be passed in the same exam or in two consecutive exams within the same session.
Assessment criteria: Understanding of the theory and ability to solve exercises
In particular, the student is asked
1) to be able to use the mathematical language correctly
2) to be able to prove a certain number of theorems in a rigorous way
3) to develop a critical approach that allows him/her to identify errors in faulty mathematical reasoning.
Course unit contents: Number sets (natural, integer, rational, real and complex). Euclidean plane and space (vectors in the plane and in the space; equations of lines and planes). Real Sequences. Limits and Derivatives of functions of one real variable. Basic theorems of differential calculus. Taylor's formula. Relative and local maxima and minima. Graphs of real-valued functions. Definite and indefinite integrals. Integration methods. Improper integrals. Numerical series. First order differential equations: linear and separable equations. Some introductory notions of Calculus of several variables.
Planned learning activities and teaching methods: The teaching method is based on traditional classroom lessons. During the semester there are partial exams.
If the student has a sufficient score in all of them, then the final grade of the exam will be the average of the scores on the partial exams.
Each week a quiz is assigned which, if carried out correctly within the set time limits, entitles the holder to a bonus on the score of the examination of the first call or on that of the partial exams.
In addition, the teacher and another collaborator will offer two hours of support per week for the preparation of the course. In these two hours the students, who wish to participate, will be divided into groups, and will try to solve the exercises that the teacher has proposed in class or proposes at the moment.
Additional notes about suggested reading: Further bibliographical references will be given during the course. All the material presented in the class is available in the Newsgroup of the course MOODLE
Textbooks (and optional supplementary readings)
  • LUCA BERGAMASCHI, Fondamenti di Analisi Matematica 1. --: Ed. Libreria Progetto, via Marzolo 2, 2017. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Problem based learning
  • Working in group
  • Problem solving
  • Auto correcting quizzes or tests for periodic feedback or exams
  • Active quizzes for Concept Verification Tests and class discussions
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)
  • One Note (digital ink)
  • Kaltura (desktop video shooting, file loading on MyMedia Unipd)
  • Top Hat (active quiz, quiz)
  • Latex
  • Mathematica