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MATHEMATICAL ANALYSIS

CODE 84362
ACADEMIC YEAR 2017/2018
CREDITS 12 credits during the 1st year of 8713 Biomedical Engineering (L-8) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR MAT/05
LANGUAGE Italian
TEACHING LOCATION GENOVA (Biomedical Engineering)
SEMESTER Annual
TEACHING MATERIALS AULAWEB

OVERVIEW

The course is a standard introduction to Calculus: differential and integral calculus in one variable, some differential equations, differential calculus in two variables. The various topics will be presented mainly via examples and intuitive justifications; in some cases formal proofs will be given. Exercise sessions are very important for the course.

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims at giving the basic tools of calculus. At the end of the course, students will understand the basic concepts of mathematical analysis and will be able to solve some problems using such tools. Another goal of the course is to train students in rigorous thinking.

TEACHING METHODS

Traditional: theory lessons, exercises sessions, support by tutors; exercises for independent training are given to students.

SYLLABUS/CONTENT

Differential calculus in one variable (limits, continuity, derivatives, Taylor formula, study of functions). Integral calculus in one variable (primitives, definite integrals and areas, improper integrals, study of integral functions). Differential equations (separation of variables, linear equations of first order, linear equations with constant coefficients). Differential calculus in two variables (limits, continuity, partial derivatives, level curves, tangent lines and planes, max, min and hessian matrix).

RECOMMENDED READING/BIBLIOGRAPHY

F.Parodi, T.Zolezzi - Appunti di Analisi Matematica - ECIG Genova

M.Baronti. F.De Mari, R.Van der Putten, I.Venturi - Calculus Problems - Springer Italia 2016.

TEACHERS AND EXAM BOARD

Exam Board

ALBERTO PERELLI (President)

FRANCESCA AMODIO

ETTORE GIOVANNI CARLETTI

LESSONS

TEACHING METHODS

Traditional: theory lessons, exercises sessions, support by tutors; exercises for independent training are given to students.

LESSONS START

When the first year starts.

EXAMS

EXAM DESCRIPTION

Two intermediate written exams (end of first and second semester), final written and oral examination.

ASSESSMENT METHODS

Evaluation of the output from written and oral exams; if students pass both intermediate written exams, the arithmetic mean of the results can be taken as result for the written exam.

Exam schedule

Date Time Location Type Notes
10/01/2018 09:00 GENOVA Scritto Scritti sempre in aula 509 ORALI 10 GENNAIO ORE 15.00 AULA 505 05 FEBBRAIO ORE 15.00 AULA 505 13 GIUGNO ORE 09,00 AULA 505 11 LUGLIO ORE 09.00 AULA 505 12 SETTEMBRE ORE 09.00 AULA 509
05/02/2018 09:00 GENOVA Scritto Scritti sempre in aula 509 ORALI 10 GENNAIO ORE 15.00 AULA 505 05 FEBBRAIO ORE 15.00 AULA 505 13 GIUGNO ORE 09,00 AULA 505 11 LUGLIO ORE 09.00 AULA 505 12 SETTEMBRE ORE 09.00 AULA 509
12/06/2018 09:00 GENOVA Scritto Scritti sempre in aula 509 ORALI 10 GENNAIO ORE 15.00 AULA 505 05 FEBBRAIO ORE 15.00 AULA 505 13 GIUGNO ORE 09,00 AULA 505 11 LUGLIO ORE 09.00 AULA 505 12 SETTEMBRE ORE 09.00 AULA 509
10/07/2018 09:00 GENOVA Scritto Scritti sempre in aula 509 ORALI 10 GENNAIO ORE 15.00 AULA 505 05 FEBBRAIO ORE 15.00 AULA 505 13 GIUGNO ORE 09,00 AULA 505 11 LUGLIO ORE 09.00 AULA 505 12 SETTEMBRE ORE 09.00 AULA 509
10/09/2018 14:30 GENOVA Scritto Scritti sempre in aula 509 ORALI 10 GENNAIO ORE 15.00 AULA 505 05 FEBBRAIO ORE 15.00 AULA 505 13 GIUGNO ORE 09,00 AULA 505 11 LUGLIO ORE 09.00 AULA 505 12 SETTEMBRE ORE 09.00 AULA 509

FURTHER INFORMATION

Students are recommended to follow all lectures, exercises sessions and tutors hours.