Programa analitica

196 Pages·2011·1.62 MB·English

Anexa III.1.a. Programe analitice discipline de învăţământ

UNIVERSITATEA TEHNICĂ ,,GHEORGHE ASACHI” DIN IAŞI
Facultatea de Electronică, Telecomunicaţii şi Tehnologia Informaţiei

B-dul Carol I nr. 11

IAŞI - 700506
ROMANIA
Tel: [phone]; Fax: [phone]

Domeniul de licenţă: Inginerie Electronică şi Telecomunicaţii

Programul de studii universitare de licenţă: Tehnologii şi Sisteme de Telecomunicaţii

Limba de predare: engleza

Forma de învăţământ: zi

S y l l a b u s
M a t h e m a t i c a l A n a l y s i s - p a r t o n e

1. Lecturer: Cornelia-Livia BEJAN
2. Course type: DM EDIF101
3. Course structure:

No. hours/week Final No. hours/semester
Semester
examination
C S L P C S L P Total
I 2 2 exam 28 28 56

4. Course objectives: Give some mathematical tools which are useful for solving several
mathematical problems, show some basic ideas which relate the mathematics studied in
high school with some technical courses studied in faculty and provide a background to
understand many applications of this theory.

5. Correlation between discipline objectives and curriculum:

- The chapter named The space of real numbers and its extension to k dimension is
related with the course of Algebra, studied in the first semester.
- The chapters named Continuity, Derivability and Partial derivatives are necessary for
the other two couses of mathematics studied in the second semester.
- Some tools given here are used also by technical courses studied later on.

6. Learning outcomes expressed in cognitive, technical or professional skills

Basically, the learning outcomes are expressed in cognitive skills, by the ability of
solving exercices and problems.

7. Teaching methods The lessons are exposed by following all the topics contained in
Syllabus, supplemented with a lot of examples and several applications.
8. Evaluation procedure:

The final written work is 60%
The activity during all seminars is 10%
The activity during all courses is 10%
The first test paper is 10%
The second test paper is 10%.

9. Course content:

a) Course

I. Introduction
The set of real numbers, the n-dimensional Euclidean space, the closed real line
... 4 hours

II. Real sequences and series
______________________ ...4 hours

III. Limit and Continuity____________________ ...4
houres
IV. Derivability for functions of one variable, Theorems of Fermat, Rolle, Cauchy,
Lagrange, L’Hospital, Taylor formula ... 4 hours
V. Partial derivatives, Differentiation, Derivability of higher order, Taylor
formula for functions of several variables, the chain rule.............6 hours
VI. Implicit functions, extrema, functional dependence.................2 houres
VII. Sequences and Series of functions, power series ..4 .hours

Total: .28hours

b) Applications

1. __The set of integers, rational and real numbers, the convergence of sequences, several
criteria for series: Abel, Dirichlet, Leibniz and so on __________________ 8hours

2. _How to calculate the limit, the study of continuity for functions of one or several
variables... 4 hours

3. Derivability for functions of one variable, partial derivatives, differentiation, derivatives
of higher order, applications of Schwarz Theorem , Graphics ...10 hours

4. Implicit functions, extrema, functional dependence.................2 hours

5. Sequences and series of functions.........................................4hours....
Total: .28.. hours

10. References:

- Caraman, Sanziana "Lectures Notes on Mathematical Analysis", 2008
- Davideanu, C., Borcea V., Andronic B. "Advanced mathematical concepts", 1996
- Gelbaum, B. " Problems in Analysis", Springer 1982
- Berman G.N. "A problem book in mathematical Analysis", MIR, 1977
- Bejan C.L. “Capitole Speciale de Matematica”, Univ. Tehnica “Gh. Asachi”, Iasi,
1997
- Bejan C.L. , Negoescu N., Ursache F. “Capitole de Matematici Speciale”, Editura
Gh. Asachi Iasi, 2002
- Birsan T. – “Analiza Matematica”, Univ. “Gh. Asachi” Iasi, 1997
- Chirita S. “Probleme de matematici superioare”. Editura Didactica si Pedagogica,
Bucuresti, 1989
- Luca-Tudorache, R.”Analiza matematica”, Tehnopress 2005

- Marcus S. – “Analiza Matematica”, Editura Didactica si Pedagogica,
Bucuresti, 1980
- Siretchi Gh. – “Calcul Diferential si integral”, Editura Stiintifica Bucuresti, 1985.

Signatures:

Date: 2010-11-29
Lecturer Cornelia-Livia Bejan
Instructor
S y l l a b u s
L i n e a r A l g e b r a

1. Lecturer: Professor Constantin FETECAU
2. Course type: DF; DM EDIF102
3. Course structure:

Final
No. hours/week No. hours/semester
Semester examination
C S L P C S L P Total
I 3 2 - - Exam 42 28 - - 70

4. Course objectives:
First objective is to give mathematical knowledge to students that are necessary to
understand the fundamental and speciality subjects. The second objective is to form a logical
thinking and improve their calculus capacity.

5. Correlation between discipline objectives and curriculum:
The framing of the “Algebra, analytical and differential geometry” discipline in the syllabus
of the faculty is in accordance with its study program.

6. Learning outcomes expressed in cognitive, technical or professional skills
It contributes to formation a theoretical base for assimilation the given knowledge at other
disciplines of specility and general technique culture.

7. Teaching methods
Lectures are freely and clearly presented and contain theoretical notions and adequate
examples. They are adapted to the level of preparation of the students, in the limit of the
allocate time.

8. Evaluation procedure:

In-class evaluation:
Percentage from the final grade: 20%

Partial exams:
Percentage from the final grade: 10%

Homework:
Percentage from the final grade: 10%
Final exam:
Percentage from the final grade: 60%

9. Course content:

a) COURSE

I. INTRODUCTION 2 hours
II. LINEAR ALGEBRA
- Vectorial spaces (Linear dependence and independence of a system of vectors); 16 hours
- Base in a n-dimensional vectorial space, examples;
- Real Euclidian spaces (Orthonormal bases);
- Linear transformations. The kernel and the image of a linear transformation;
- Eigenvalues and eigenvectors of a linear transformation;
- Linear, bilinear and quadratic forms.
III. VECTORIAL ALGEBRA
- Free vectors in plane and space; 6 hours
- Products of vectors and vectorial equations.
IV. APLICATIONS OF LINEAR ALGEBRA IN GEOMETRY
- Lines and planes in space; 4 hours
- Parallelism and orthogonality conditions.
TOTAL 28 hours

b) SEMINAR

I. LINEAR ALGEBRA
- Linear dependence an independence of a system of vectors;
- Base in a n-dimensional vectorial space, examples;
- Orthonormal bases;
- Linear transformations. The kernel and the image of a linear transformation; 18 hours
- Eigenvectors and eigenvalues for a linear transformation;
- Linear, bilinear and quadratic forms;
- Reduced expression of a quadratic form;
- The reduced expression of a quadratic form in an orthonormal base.
II. VECTORIAL ALGEBRA
- Products of vectors (inner product, vectorial product, mixed and double vectorial
6 hours
product of three vectors);
- Vectorial equations and systems of vectorial equations.
III. APLICATIONS OF LINEAR ALGEBRA IN GEOMETRY
- Lines and planes in space; 4 hours
- Parallelism and orthogonality conditions.
TOTAL 28 hours

10. References:

1. A.Carausu: Linear algebra.Theory an Applications, Matrix Rom, Bucuresti 1999
2. C.Udriste, V.Balan: Linear Algebra and Analysis, Geometry ,Balkan Press 2005
3. C. Fetecău, 2006, Algebra liniara si geometrie diferentiala, Editura TEHNICA – INFO Chisinau,
ISBN 978-9975-63-281-2.
4. A. Vieru, C. Fetecau, 2006, Probleme de algebra liniara si geometrie diferentiala, Editura
TEHNICA – INFO Chisinau, ISBN 978-9975-63-288-1.

Date:
20-11-2010
Lecturer:
Professor PhD Constantin FETECAU
S y l l a b u s
PHYSICS I

1. Lecturer: Physicist GABRIELA APREOTESEI, PhD.
2. Course type: DM EDIF103
3. Course structure:

No. hours/week Final No. hours/semester
Semester
examination
C S L P C S L P Total
1 2 2 1 - E 28 28 14 - 70

4. Course objectives:
- Presentation of the most important physical phenomena, emphasizing these phenomena
with applications in Electronics and Information Technology
- Helping the students to acquire competencies in performing measurements and processing
the experimental data
- Student learning of the fundamental laws of physics and their applications in technics
- Presentation of some methods for evaluation the measurement accuracy using adequate
computer programs.

5. Correlation between discipline objectives and curriculum:
- At the 'Physics I' course are used the mathematics knowledge cumulated in the high school
(Linear Algebra and Analytical Geometry, respectively Mathematical Analysis and
Differential Equations)
- The notions taught at the 'Physics I' course are necessary for the technical disciplines
studied in the following semesters.

6. Learning outcomes expressed in cognitive, technical or professional skills
By attending the 'Physics I' course, students will cumulate theoretical and practical
knowledge for their engineering career. Studying and understanding of the fundamental
processes in physics science is necessary for the new technologies development.

7. Teaching methods
- Lecture; oral presentation. Lab activity is a half groups activity. The seminar and laboratory
activities are programmed for 2 hours every 2 weeks.
- The individual study of some themes using the references is recommended, developing
their applicative part, in order to extend the knowledge area of the course.

8. Evaluation procedure:
Continuous evaluation:
Seminar activities: 15% of the final grade. Traditional evaluation.
Laboratory activities: 15% of the final grade. Traditional evaluation.
Final evaluation is performed on an exam:
I. Oral answers – 70% of the final grade.
II. Laboratory activity – 15% of the final grade.
III. Seminar activity – 15% of the final grade.

9. Course content:
a) Course
I. Introduction 2
hours
- course content
- fundamental interactions
II. Fundamental principles of the Newtonian Mechanics 2 hours
- the fundamental law of dynamics
- notions and quantities in the classic dynamics
- conservative forces; the potential energy
- conservation laws
III. Mechanical Oscillations 6 hours
- the free harmonic oscillation
- composition of the harmonic oscillations
- the attenuated oscillatory motion
- the forced oscillations; resonance
- analogy between mechanical and electrical oscillations
IV. Mechanical Waves 8 hours
- general notions
- the plane progressive wave; equation of the plane wave
- the differential equation of wave
- the propagation velocity of elastic wave
- the power and the intensity of the wave
- interference of waves; stationary waves
- dispersion of waves; wave group velocity
- the acoustic wave; acoustic field; acoustic pressure; the qualities of sound
- attenuation and absorption of sound; reverberation of sound
- the acoustic Doppler effect
- ultrasonic waves; applications of the ultrasound
V. Theory of Relativity 4 hours
- theory of relativity in classical physics
- postulates of the theory of restricted relativity; the Lorentz-Einstein transformations
- relativistic dynamics
VI. Wave Optics 6 hours
- interference of light; coherence conditions
- interference of light with unlocalized interference fringes; Young’s slits
- interference of light with localized interference fringes; equal-tilt interference
fringes; equal thickness interference fringes
- applications of the interference phenomenon
- diffraction of the light; fundamental notions; Huygens-Fresnel principle
- Fraunhofer diffraction; the diffraction grating
- reflection of light; refraction of light; optical fiber
- polarization of light; natural (unpolarized) light; polarized light
- analysis of the linear polarized light; the polarizer; the Malus’s law.
- polarization of light by reflection and refraction; the Brewster’s law
- the birefringence (double refraction); polarization and dichroism effects
- rotatory polarization (natural optical activity); the Faraday’s effect
- artificial birefringence: mechanical birefringence (Seebeck effect), electric
birefringence (Kerr effect), magnetic birefringence (Cotton-Mouton effect)
- dispersion of the electromagnetic waves
Total: 28 hours
b) Applications:
b1) Seminar activities:

1. Vector Computation 2 hours
2. Mechanical Oscillations 3 hours
3. Mechanical Waves 3 hours
4. Acoustics 2 hours
5. Theory of Relativity 2 hours
6. Wave Optics 2 hours

Total: 14 hours
b2) Laboratory activities

1. Methods of processing the experimental data and error analysis 2 hours
2. Study of the vibratory string 2 hours
3. Study of the composition of the perpendicular harmonic
oscillations having the same frequency. Determination of the
sound velocity in the air. 2 hours
4. Determination of the specific charge of the electron by
the magnetron method. Determination of the specific charge of
the electron using the diode’s 3/2 law. 2 hours
5. Interference of light in a thin plate. Newton’s rings. 2 hours
6. Determination of an optically active solution concentration
with help of the polarimeter. 2 hours
7. Meeting for recoup. 2 hours

Total: 14 hours

10. References:

1. Gabriela Apreotesei, General Physics, Pim Publisher, Iasi, 2008
2. Gh. Călugăru, G. Strat, V. Bădescu, Gabriela Fosa (Apreotesei), Physics for
engineers, Vasiliana-98 Publisher, Iaşi, 2001
3. Berkeley Physics Course, Vol. 1-5, Didactical and Pedagogical Publisher, EDP,
Bucuresti, 1981
4. L. Landau, E. Lifsit, Statistic Physics, Technical Publisher, Bucureşti, 1988
5. R. Feynman, Modern Physics, Vol. 1, 2, 3, Technical Publisher, Bucureşti, 1970
6. D. Halliday, R. Resnick, Physics, Vol. 1-2, Didactical and Pedagogical Publisher,
EDP, Bucuresti, 1980
6. E. Luca, C. Ciubotariu, Gh. Zet, A. Paduraru, General Physics, Didactical and
Pedagogical Publisher, EDP, Bucuresti, 1981
7. C. Cotae, M. Agop, B. Ciobanu, Physics, Vol. I, Stefan Procopiu Publisher, Iasi, 1999
8. B. Ciobanu, M. Agop, C. Cotae, Physics, Vol. II, Stefan Procopiu Publisher, Iasi, 1999
9. E. Luca, Gh. Zet, C. Ciubotariu, A. Jeflea, C. Pasnicu, Mechanics, Statistic
Physics and Thermodynamics, Scientific Publisher, Bucureşti, 1995
10. E. Luca, Gh. Zet, C. Ciubotariu, A. Jeflea, C. Pasnicu, Gh. Maftei, Interactions,
fields and waves, Scientific Publisher, Bucureşti, 1996
11. Laboratory works, Vol. I, II, "Gh. Asachi" Technical University of Iasi,
1995/1996
12. Iulia Brînduşa Ciobanu, Gabriela Apreotesei, General Physics – Applications,
Pim Publisher, Iasi 2009
13. Gabriela Apreotesei, Iulia Brînduşa Ciobanu, Electricity and Magnetism. Optical
Phenomena. Application., Pim Publisher, Iasi, 2010.

Signatures:

Date: Nov. 30, 2010 Course titular: lecturer Gabriela Apreotesei, PhD.
Applications titular: lecturer Gabriela Apreotesei, PhD.
S y l l a b u s
Computer Programming and Programming Languages I

1. Lecturer: prof. Adriana SÎRBU, PhD
2. Course type: DF, DM EDIF104
3. Course structure:

No. hours/week Final No. hours/semester
Semester
examination
C S L P C S L P Total
1 2 - 2 - E 28 0 28 0 56

4. Course objectives:
This course introduces students to :
- the structure and operation of computers
- the analysis and design of computer algorithms
- internal data representation
- basic C Programming Language elements.

5. Correlation between discipline objectives and curriculum:
The course is placed in the first semester, preparing the basic notions for the next
programming discipline, Computer Programming and Programming Languages II and,
together provide the necessary elements for the courses dedicated to signal processing using
specialized circuits (digital signal processors and/or microcontrollers).

6. Learning outcomes expressed in cognitive, technical or professional skills
Upon completion of this course, students will be able to do the following:
- Demonstrate a familiarity with major algorithms and data structures.
- Design medium difficulty algorithms
- Write simple programs in C language

7. Teaching methods
Course : Interactive whiteboard and slides presentation
Laboratory : Programming application, quizz

8. Evaluation procedure:
Laboratoty work : 20 %.
Tests : 20% Algorithm design
Exam : : 60 % Solving two problems using IDE

9. Course content:

a) Course

1. Computer architecture .......................................................................................................................................... 5 h
1.1. Hardware
1.2. Software – operating system level, programming languages system level, application programs level.
1.3. Programming languages
2. Algorithm design .................................................................................................................................................10 h