
Course unit
MATHEMATICAL ANALYSIS
SCP4063959, A.A. 2018/19
Information concerning the students who enrolled in A.Y. 2018/19
ECTS: details
Type 
ScientificDisciplinary 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 
Examination board
Board 
From 
To 
Members of the board 
3 a.a 2018/2019 
01/10/2018 
28/02/2020 
SARTORI
CATERINA
(Presidente)
SORAVIA
PIERPAOLO
(Membro Effettivo)
BARACCO
LUCA
(Supplente)
GUIOTTO
PAOLO
(Supplente)
MONTEFALCONE
FRANCESCOPAOLO
(Supplente)

2 a.a. 2017/2018 
01/10/2017 
28/02/2019 
SARTORI
CATERINA
(Presidente)
BARACCO
LUCA
(Membro Effettivo)
CARAVENNA
LAURA
(Membro Effettivo)
GUIOTTO
PAOLO
(Membro Effettivo)
MONTEFALCONE
FRANCESCOPAOLO
(Membro Effettivo)
SORAVIA
PIERPAOLO
(Membro Effettivo)

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 problemsolving 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 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 realvalued 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:

During the semester there are partial exams which are graded by the teacher.
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. 
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.

Innovative teaching methods: Teaching and learning strategies
 Working in group
 Questioning
 Action learning
 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)
 Latex
 Mathematica

