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MATHEMATICAL ANALYSIS I

CODE 56594
ACADEMIC YEAR 2016/2017
CREDITS 12 credits during the 1st year of 8716 Electrical Engineering (L-9) GENOVA

12 credits during the 1st year of 10375 INGEGNERIA CHIMICA E DI PROCESSO (L-9) GENOVA

SCIENTIFIC DISCIPLINARY SECTOR MAT/05
LANGUAGE Italiano
TEACHING LOCATION GENOVA (Electrical Engineering)
SEMESTER Annual
PREREQUISITES
Prerequisites (for future units)
This unit is a prerequisite for:
  • Chemical Engineering 8714 (coorte 2016/2017)
  • CHEMICAL PLANTS 80363
  • ELECTRICAL ENGINEERING 66016
  • THEORY OF DEVELOPMENT OF CHEMICAL PROCESSES 66364
  • TRAINING AND ORIENTATION 66376
  • SCIENCE AND TECHNOLOGIES OF MATERIALS 84498
  • MATHEMATICAL ANALYSIS II 60241
  • Electrical Engineering 8716 (coorte 2016/2017)
  • POWER GENERATION 60221
  • MATHEMATICAL ANALYSIS II 60241
  • MECHANICS OF MACHINES 86899
  • ELECTRONICS FOR ELECTRICAL ENGINEERING 84372
  • ELECTRIC AND MAGNETIC FIELDS 60335
  • STRUCTURAL MECHANICS 66283
  • APPLIED PHYSICS 60359
  • CIRCUIT THEORY 60336
  • MATHEMATICAL PHYSICS 1 60352
  • INGEGNERIA CHIMICA E DI PROCESSO 10375 (coorte 2016/2017)
  • MATHEMATICAL ANALYSIS II AND PHYSICS 90657
  • CHEMICAL REACTORS 90669
  • SCIENCE AND TECHNOLOGIES OF MATERIALS 84498
  • CHEMICAL ENGINEERING LABORATORIES 90664
  • CHEMICAL AND PROCESS PLANTS 90660
  • TRAINING AND ORIENTATION 66376
  • THEORY OF DEVELOPMENT OF CHEMICAL PROCESSES 66364
  • STRUCTURAL MECHANICS 90682
TEACHING MATERIALS AULAWEB

OVERVIEW

The aim of the course is to teach differential and  integral calculus in one variable and the grounding of ordinary differential equations and functions of several variables.

AIMS AND CONTENT

LEARNING OUTCOMES

The course provides the fundamentals of integral calculus - differential for functions of one and more ' variables and the first elements of study for ordinary differential equations .

LEARNING OUTCOMES (FURTHER INFO)

Calculations of limits of  one variable functions, graphs of functions, integral calculus, elementary study of level curves of functions of two variables, solution of simple first order differential equations and linear equations of order n with constant coefficients.

TEACHING METHODS

 72 hours of theoretical lessons, 48 hours of classroom practices.

SYLLABUS/CONTENT

Real numbers, infimum and supremum, functions of one real variable, elementary functions, limits, infinitesimals and infinities, continuous functions, derivable functions, differentiable functions, Taylor’s formula, expansion of elementary functions, primitives and indefinite integrals, methods of indefinite integration, definite integrals, fundamental theorem of integral calculus, first order differential equations, Cauchy’s problem and theorem, resolution of linear first order differential equations and separable variables equations, linear differential equations with constant coefficients of order n.

 

RECOMMENDED READING/BIBLIOGRAPHY

P. Marcellini – C. Sbordone: Calcolo, Liguori Editore, Napoli, or any other good text of mathematical analysis.

M.Baronti-F.De Mari-R.Van Der Putten-I.Venturi: Calculus Problems, Springer

TEACHERS AND EXAM BOARD

Exam Board

MARCO BARONTI (President)

LAURA BURLANDO

MAURIZIO CHICCO

MICHELA LAVAGGI

MANUEL MONTEVERDE

LESSONS

TEACHING METHODS

 72 hours of theoretical lessons, 48 hours of classroom practices.

LESSONS START

September 2016

EXAMS

EXAM DESCRIPTION

The final exam consists in a written test and an oral test. During the course some written tests may be performed too.

ASSESSMENT METHODS

The final exam consists in a written test and an oral test. During the course some written tests may be performed too.

Exam schedule

Date Time Location Type Notes
29/03/2017 14:00 GENOVA Scritto
19/05/2017 15:00 GENOVA Compitino
29/05/2017 09:30 GENOVA Scritto
12/07/2017 09:30 GENOVA Scritto aule G2B/G3B
02/08/2017 09:00 GENOVA Scritto La prova scritta dell'appello straordinario di Analisi Matematica 1 sara' svolta in aula E1 ore 9:00 La prova orale sara' in aula E3 ore 9:00 il giorno 3 agosto 2017
12/09/2017 09:30 GENOVA Scritto