Physics BSc Study Abroad Course List for the Fall semester ... › sites › international... ·...
Transcript of Physics BSc Study Abroad Course List for the Fall semester ... › sites › international... ·...
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Centre for International Relations
Physics BSc
Study Abroad Course List for the Fall semester
2018/2019 Faculty of Sciences
Tuition-fee/credit: 100 USD
Course Semester Credits (ECTS)
An insight into Hungary Fall 3
Introductory mathematics p.c. Fall 3
Computer technology I lec. Fall 3
Informatics p.c. Fall 3
Linear algebra lec. Fall 3
Linear algebra p.c. Fall 3
Software packages Fall 3
Introductory mechanics lec. Fall 3
Introductory mechanics p.c. Fall 3
Mathematical methods in physics I p.c. Fall 3
Electricity and magnetism lec. Fall 3
Electricity and magnetism p.c. Fall 3
Modern physics I lec. Fall 3
Electronics lec. Fall 3
Physics and electronics lab. I Fall 4
Electrodynamics lec. Fall 3
Electrodynamics p.c. Fall 3
Electronics p.c. Fall 2
Physics and electronics lab. III Fall 4
Astrophysics lec. Fall 2
Metrology lec. Fall 2
Metrology p.c. Fall 2
Calculus II lec. Fall 2
Calculus II p.c. Fall 3
Discrete mathematics lec. Fall 2
Discrete mathematics p.c. Fall 3
Mathematical methods in physics III p.c. Fall 3
Computer technology II lec. Fall 2
Economics Spring 3
Calculus I lec. Spring 3
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Calculus I p.c. Spring 3
Mathematical methods in physics II p.c. Spring 3
Thermodynamics lec. Spring 3
Thermodynamics p.c. Spring 3
Waves and optics lec. Spring 3
Waves and optics p.c. Spring 3
Modern physics II lec. Spring 3
Classical mechanics lec. Spring 3
Classical mechanics p.c. Spring 3
LabVIEW basics p.c. Spring 3
Physics and electronics lab. II Spring 4
Lasers and their applications lec. Spring 2
Numerical methods lec. Spring 2
Numerical methods p.c. Spring 3
Computer programming I p.c. Spring 3
Computer programming II p.c. Spring 3
Quantum mechanics lec. Spring 3
Quantum mechanics p.c. Spring 3
Detailed information about the courses:
Course title: An insight into Hungary
Language of instruction: English
Teaching period: Fall Semester
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The main objective is to provide an overview ont he country (Hungary)
and place (Pécs), where the targeted international students continuing their cross cultural
studies. The civilisation course intends to introduce some important and characteristic aspects
of our heritage, culture and also the social profile of Hungary.
Course description: 1. A brief history of Hungary - turbulent centuries at the crossroads of Europe
2. Characteristic features of state socialism as an important era of our recent past
3. Transition period - orientation changes
4. The country as a full member of EU
5. Physical resources of Hungary
6. Hungary: facts and figures
7. Social-demographic profile of Hungary
8. Economic issues of Hungary
9. Settlement pattern of Hungary
10. Pécs within the spatial structure of Hungary
11. Political system of Hungary of Europe in 2010
Assessment methods: Written final test
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Introductory mathematics p.c.
Language of instruction: English
Teaching period: Fall Semester
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Acquiring the basic mathematical skills essential for higher level
mathematics and physics courses.
Course description:
Solving equations
1. First and second degree equations, linear systems of equations.
2. Trigonometric, logarithmic, exponential equations.
Fundamentals of algebra
1. Properties of exponentiation. Basic algebraic identities. The binomial theorem.
2. Roots of polynomials, factoring polynomials. Division among polynomials.
3. Operations with rational functions.
Basic functions
1. Plotting functions. Function examination.
2. Linear functions, power functions, polynomial functions.
3. Trigonometric and inverse trigonometric functions.
4. Exponential and logarithmic functions. Hyperbolic functions.
Assessment methods: Weekly assignments and two midterm tests.
Course title: Computer technology I lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The course discusses the substantial knowledge for computer technology.
Serves as a foundation of further, more advanced subjects
Course description: Boolean algebra and binary arithmetic, number representations,
Transformation and simplification of boolean functions. Canonical forms of boolean
functions, systematic simplification methods. Hazards and their elimination. Sequential
circuits, storage components. Design of sequential circuits, synchronous and asynchronous
circuits. Microprogrammed sequential circuits.
Assessment methods: Oral exam
Course title: Informatics p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: knowledge of the standard rules of the document creation, the knowledge
of the standard formats of presentations. The capability to obtain information on the internet.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course description: 1. Introduction. Standard knowledge of informatics. Rules of document creation.
2. Rules of document creation. Letter, Rules of CVs.
3. Thesis, report. Header, footer, styles and automatic table of contents.
4. Thesis, report. Equation editor, list of figures, embedded spreadsheets.
5. Exam 1: word processing
6. Introduction to spreadsheets. Absolute and relative references, cell formatting.
7. Spreadsheets. Embedded functions, data representation
8. Spreadsheets. Report creation.
9. Exam 2: Report (word processing, spreadsheets).
10. Presentation. Rules and possibilities of creating presentations.
11. Presentation, LaTeX. Student presentations and introduction to LaTeX
12. Internet. Search engines (Google, Yahoo, Bing), problem solving via the internet
(Wolfram Alpha).
13. Scientific resources: Web of Science, Science Direct, arXiv
Assessment methods: 2 written exams and homework assignments
Course title: Linear algebra lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Compulsory course for BSc students in Physics, covers the basic
algebraic methods used in Physics. Lays the ground for further subjects, like quantum
physics, matrix optics, etc.
Course description: Linear equation systems and their solution with elimination, matrices
and operations on them, adding, multiplying with numbers, multiplying and transposing.
Partitioned matrices and the properties of their operations. Augmented matrices of linear
systems.Solution of linear equation systems, inverting matrices, nonsingular matrices.
Reduced row echelon form of matrices and basic operations on them, row and column
equivalency. Gauss elimination, Gauss-Jordan reduction. Solution of linear equation system.
The calculation of inverse matrices. Special matrices. Equivalent matrices. The determinant
and its properties. Determining determinants with subdeterminants. Determining matrix
inverses with determinants. Real vector spaces, the isomorphism of real vector spaces. Rn as
vector space. Coordinates.Linear combination, subspaces of a real vector space. Linear
independence, dimension, basis. Properties of the solution of linear equations. Rank and
nullityof matrix, relation to linear equation systems. Normed spaces, spaces with inner
products. CauchySchwarz inequality. Cross product of vectors in three dimensions, properties
of operations, the Levi-Civita symbol and it’s application. Orthogonality, orthonormed basis,
Gram-Schmidt orthogolalization. Orthogonal complementers and it’s properties. Nullspace,
row, clumnspace of matrix and their relation. Linear operators and operations on them.
Nullspace (kernel) and image. Matrices of linear operators as general and on orthonormed
basis. Operators in matrix representation. Changing the basis in general and between
orthonormed basis. Similarity of matrices. Eigenvalue and vector, determining them. The
multiplicity of eigen values eigensubspaces. Similarity and diagonalisability. Spectral
decomposition of symmetric matrices.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Assessment methods: Exam
Course title: Linear algebra p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Compulsory course for BSc students in Physics, covers the basic
algebraic methods used in Physics. Lays the ground for further subjects, like quantum
physics, matrix optics, etc
Course description: Linear equation systems and their solution with elimination, matrices
and operations on them, adding, multiplying with numbers, multiplying and transposing.
Partitioned matrices and their operations. Augmented matrices of linear systems. Solution of
linear equation systems, inverting matrices, nonsingular matrices. Reduced row echelon form
of matrices and operations on them, row and column equivalency. Gauss elimination, Gauss-
Jordan reduction. Solution of linear equation system. The calculation of inverse matrices.
Determining determinants with subdeterminants. Determining matrix inverses with
determinants. Coordinates. Linear combination, subspaces of a real vector space. Linear
independence, dimension, basis. Properties of the solution of linear equations. Inner products.
Cross product of vectors in three dimensions, the Levi-Civita symbol and it’s application.
Nullspace, row, columnspace of matrix and their relation. Linear operators and operations on
them. Nullspace (kernel) and image. Matrices of linear operators as general and on
orthonormed basis. Operators in matrix representation. Changing the basis in general and
between orthonormed basis. Eigenvalue and vector, determining them. Similarity and
diagonalisability. Spectral decomposition of symmetric matrices.
Assessment methods: Test
Course title: Software packages
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Introduction into the program packages, most frequently used in
modeling physical problems and data processing.
Course description:
Data processing and mathematical software packages: Origin, Gnuplot, Maple,
Matlab/Octave
1. Origin: the Origin workspace; worksheets, data import, and plotting; working with
Excel in Origin; data exploring; creating multiple layer graphs; 3D surface and
contour graphs; nonlinear curve fitting; creating presentations with the layout page.
Developing specialized problems in Origin.
2. Gnuplot: basics; command-line input and scripts; plotting; invoking system
commands; curve fitting; loading script files; graph parameters; determining output
terminal; 3D graphs. Developing specialized problems in Gnuplot.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
3. Maple: Numerical calculations: using Maple as a calculator; algebraic expressions
and formulae; solving equations, approximate solutions; functions: definition,
substitution, graph; procedures: local and global variables; matrices, matrix
arithmetics, Gaussian elimination, eigenvalues and eigenvectors
4. Matlab/Octave: variables (scalar, vector, matrix), assignment; mathematical
expressions; graphical presentation: 2D and 3D plots; programming: scripts, functions,
loops, conditional statements
Assessment methods:
Average of homeworks 25 %
Average of 2 written exams 75 %
The course cannot be completed if any of the two written examinations is marked as
unsatisfactory.
Course title: Introductory mechanics lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Mastering the basic mechanical concepts, and acquiring general skills in
scientific reasoning through the subject of mechanics.
Course description:
1. The kinematics of material point. Uniform motions. Motion with constant
acceleration. Free fall, projectile motions. The circular motion. The simple harmonic
motion.
2. Dynamics of material point: Different type of forces. Free motion. Contact motions.
Dynamics of systems of points.
3. Determination of different type of works. Work-energy theorem. The potential and
kinetic energy. The conservation of energy. Momentum and angular momentum of a
system. Collisions.
4. Equilibrium of rigid bodies. Kinematics of rigid bodies. Dynamics and energy of rigid
bodies.
5. The gravitational field: field strength and potential. The planetary motion. Kepler’s
laws.
6. The inertial forces.
7. Mechanics of elastic bodies: the state of deformation.
8. Flow of ideal and viscous fluids.
9. The harmonic oscillator. Small oscillations. Addition of harmonic oscillators. The
damped oscillator. The driven oscillator. Propagation, reflection and refraction of
waves. Interference, standing waves. Diffraction.
10. The Doppler-effect.
Assessment methods: Oral exam
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Introductory mechanics p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Mastering the basic mechanical concepts, and acquiring general skills in
scientific reasoning through the subject of mechanics.
Assessment methods: Written examination in semester: 50%, oral examination: 50%
Course title: Mathematical methods in physics I p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The course focuses on basic mathematical skills required for studying
physics, but usually acquired by the students only much later in mathematics courses. New
material is always presented first in an intuitive way without rigorous mathematical proofs
and then the emphasis is on independent problem solving.
Course description:
1. Differentiation of real functions of a single variable.
2. Definite and indefinite integrals of real functions of a single variable.
3. Applications of definite integrals.
4. Complex numbers and functions of a complex variable.
5. Vectors, bases, linear transformations and their matrix representation.
Assessment methods: Midterm and Final test
Course title: Electricity and magnetism lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Developing knowledge and understanding of the concepts of electricity
and magnetism.
Course description:
Electrostatics
1. Electric field in vacuum, Coulomb’s law, Elementary charge and the most important
special distributions of it, Work of the electric field, work and electric potential,
determination of the elementary charge, electric capacitance, capacitors, electrostatic
devices, Energy of the electric field, dielectrics, The electric polarization and field
strength in dielectrics, The fundamental electrostatic laws in dielectrics
The laws of direct currents
2. Ohm’s law, Various forms of Ohm’s law, Kirchhoff’s laws, Resistances in series and
parallel, current and volt-age measurement devices, measuring resistances, Serial and
parallel battery configurations, Electric work and power of direct current
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Magnetostatics
3. Basic magnetic phenomena, magnetic field, flux of the magnetic field, forces in
magnetic field, Biotlaw, Earth magnetism, Magnetic induction and field strength,
magnetic properties of solids, magnetic circuits
Current conduction phenomena
4. Free electrons in metals, band theory of metals, Electron energy distribution in
conductors, Thermionic electron emission and work function, contact potential,
thermoelectric effects, semiconductors, different types of semiconductors, current in
dielectrics, electrolytic dissociation and electrolysis, batteries, charge transport in
vacuum, electron microscope, electron tubes, electric conduction in gases, gas
discharges, natural electrostatic discharges
Electromagnetic induction
5. Faraday induction, mutual induction, energy of the magnetic field, transient signals in
dc circuits, electromagnetic oscillations, Impedance, forced oscillations in serial and
parallel RLC circuits, Electric work and power of alternating currents, free
electromagnetic oscillations in closed RLC circuits, coupled electromagnetic
oscillations, measuring inductance and capacitance, high frequency oscillations
Assessment methods: Oral exam
Course title: Electricity and magnetism p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Developing knowledge and understanding of the concepts of electricity
and magnetism. Getting experience in calculations with electric and magnetic fields, currents,
charges.
Course description: 1) The Coulomb force. Interaction between electrical charges.
2) The electrical field strength and potential.
3) Mass of charges, equipotential surfaces, Gauss-law, mirror charges.
4) Capacitors. The connection of capacitors. Dielectrics.
5) The direct current, Ohm's law.
6) Connection of electrical sources.
7) DC circuits, Kirchhoff’s rules.
8) Magnetostatics. Lorentz force.
9) Induction by direct current. The Biot-Savart law.
10) Conducting lines, current loops, solenoids, toroids.
11) Magnetic materials. Magnetic resistance.
12) The electromagnetic induction.
13) The alternating current (AC). The effective value.
14) Simple unsteady circles.
15) Resistance in AC. The RLC circuit.
16) Resonant-frequency and radiation in oscillating circuits.
17) AC circuits.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Assessment methods: Discussion credit. The students have to write 2 essays, and 2 marks are
given to them. The credit mark will be the average of the 2 marks (rounded up), if the marks
greater than 1. Students could improve their credit mark by 1 by regular homework doing.
Course title: Modern physics I lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Introduction into principal knowledge of modern physics, basics of
quantum mechanics, atomic, nuclear and solid state physics, scientific and technologic
applications, basics of modern cosmology
Course description:
1) Waves. Interference. Diffraction. Standing waves. Fourier transformation. Wave
packets.
2) Atoms. The structure of atoms.
3) Quantized nature of light: Blackbody radiation. Photoelectic effect. Compton-
scattering.
4) Matter waves. Elektronmicroscope. Neutrondiffraction.
5) Bohr-modell.
6) Basic quantum mechanics. –
7) Wave function and its interpretation. Schrödinger-equation.
8) Potential well. Harmonic oscillator. Transmission through a potential barrier; scanning
tunneling microscope.
9) The Hidrogen atom.
10) The electron spint. Spin in magnetic field.
11) Periodic table. Electronic structure of atoms. Pauli exclusion principle.
12) Chemical bonds.
13) Molecule. Rotation and vibration of molecules.
14) Absorpcion and emission of light. Optical and x-ray spectra.
15) Test.
Assessment methods: Oral exam
Course title: Electronics lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Principle of the electronic and electronic measurements theory and use, to
acquire knowledge about simple circuits and components, electronic systems, measure-
control and the principle of digital data processing
Course description: 1) Subject of electronics; passive and active networks - characteristics and use (R, L, C
components, generators)
2) Passive networks, filters, properties of networks time-range and frequency
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
3) Nonlinear bipolar networks, property of diodes (signal processing circuits with diodes
and rectifier circuits)
4) Principle of transistors, characteristics and use of amplifier circuits Feedback in
amplifier, oscillators Principle of Operation amplifier, characteristics and use
5) Signal-processor circuits, multivibrators
6) Logical circuits, combination logics network
7) Sequence networks: electronic latch, counters
8) A/D, D/A converters, measure-control
9) Digital data processing, microcontrollers
10) Control-circuits, electronic sensors
Assessment methods: Oral exam
Course title: Physics and electronics lab I.
Language of instruction: English
Teaching period: Fall
Class hours per week: 4
Credits (ECTS): 4
Course objectives: Acquiring experimental skills, interpretation of measurement data, proper
documentation of measurements.
Course description: 1) Methods of measuring mass. Mass measurement by means of uniform rotary motion
and harmonic oscillation.
2) Measuring of spring constant.
3) Measuring of free fall acceleration with falling ball and by means of a simple
pendulum.
4) Determination of inertial moment by means of uniformly accelerating rotation. Inertial
moments of cylinders of equal mass.
5) Surface-tension of liquid. Measurement by means of ring method and drop count
method. Absolute and relative method.
6) Density and viscosity of liquid. Mohr-Westphal balance and the relative measurement.
Falling ball viscometer.
7) Measuring of frequency and time period by means of stroboscope and tachometer.
8) Measuring refractive index and partial dispersion of liquid. Abbe refractometer.
Determination of refractive index of glass prism by means of a goniometer.
9) Optical activity. Specific opticalrotatory power of sugar solution. Reflection of
polarized light. Fresnel’s equations.
10) Determination of extent of miniature by microscope and diffraction of light. Slit, hole,
grating, CD.
11) Determination of focal length of thin lens. Study of lens aberrations. Spherical and
chromatic aberration.
12) The distribution of laser light.
13) Study of polarized light. Malus’ law. Optical fiber and polarization
Assessment methods: Students have to report for evaluation of laboratory exercises in lab
book.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Electrodynamics lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Required course of Physics BSc studies. Its aim is to improve analytical
and problem solving skills by placing treatment of electrodynamics’ phenomena on a more
general foundation.
Assessment methods: Oral exam
Course title: Electrodynamics p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course description:
1) Electric charge and electric field, basic equations of electrostatics. Poincaré identities,
the electrostatic potential.
2) Poisson equation and its solution. Gauss and Stokes theorem. Dipole moment and
polarization, electrostatics of dielectrics, metals.
3) Magnetic field, Lorentz force, vector potential. Magnetostatics of polarizable media.
4) Law of induction, charge conservation and displacement current. Maxwell’s equations
in vacuum and medium.
5) Wave equation and its plane wave solution. Dispersion, field energy, field momentum.
Refraction and reflection of monochromatic plane wave on the boundary of two
dielectrics.
6) Galilean and Einstein relativity. Lorentz transformation, time dilation, length
contraction. Proper time, the twin paradox
Assessment methods: Written exam
Course title: Physics and electronics lab. III
Language of instruction: English
Teaching period: Fall
Class hours per week: 4
Credits (ECTS): 4
Course objectives: : Acquiring experimental skills, interpretation of measurement data,
proper documentation of measurements
Assessment methods: Students have to report for evaluation of laboratory exercises in lab
book.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Astrophysics lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 2
Course objectives: The course gives an overall introduction into astrophysics. It uses the
preliminary knowledge of students in a wide range of physics fields, and provides an example
for the application of those. The objective of the subject is to give strong basis for
understanding the main concepts and the importance of new scientific achievements in
astronomy.
Course description: 1) Main parts of astronomy, its connections with other sciences –
2) Instrumentation /1. (collecting and transforming the incoming radiations: telescopes;
their history) –
3) Instrumentation /2. (sensing the radiations: detectors), methods of radiation studies
(photometry, spectroscopy, -
4) Stellar astrophysics /1. (physical parameters of the stars, and theirs measurements;
their values) –
5) Stellar astrophysics /2. (correlations between certain physical parameters; MLR and
HRD; classification) –
6) Stellar astrophysics /3. (description of the Stellar interiors; equilibrium stellar models)
- Nearest star: the Sun (resolved surface and atmosphere; wide variety of events;
activity; problems) –
7) Stellar astrophysics /4. (modeling & basics of the stellar evolution; evolutionary
scenarios contra initial masses; evolutionary tracks on HRD) –
8) Stellar astrophysics /5. (variable stars, binary stars, binary evolution) –
9) Interstellar material (appearance, observability, types and main properties of
interstellar clouds) –
10) The Milky Way (history, stellar populations, distributions of its different constituents,
dynamics, spiral arms, long-term evolutionary considerations; dark material and its
discovery)
11) Extragalactic astronomy (Local Group galaxy system; morphology of extragalaxies,
main properties, largescale distribution of galaxies: clusters and empty spaces) –
12) The Universe (Big Bang theory, overview on its evolution, most important phases,
observational cosmology: the observable evidences of the Big Bang: CBR,
cosmological redshift)
Assessment methods: written examination (test)
Course title: Metrology lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 2
Course objectives: Introduction into the basic principles of measuring physical and other
quantities and into the statistical interpretation of measurement data.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course description:
1) Measurements in physics (modelling, verification, validation, measurement, basic and
derived units)
2) Units, etalon, measuring instruments, measurement instructions, analogue and digital
devices
3) Basic units of SI and their measurement
4) Measurement of on-electric signals
5) Calibration of the acquisition system, validation of measured data
6) Uncertainty of the measured data, systematic and random errors, propagation of errors.
7) Basic measurement statistics (normal distribution, expected value, standard deviation,
confidence interval, statistical probes))
8) Digital data acquisition, sampling theorem
9) Fourier analysis
10) Correlation analysis
11) Interpretation of data (curve fitting, regression, linearization)
Assessment methods: Oral exam
Course title: Metrology p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 1
Credits (ECTS): 2
Course objectives: Introduction into the basic statistical interpretation of measurement data.
Course description: 1) Practical problem solving on the basis of the lecture topics
2) Basic units of SI and their measurement
3) Measurement of on-electric signals
4) Calibration of the acquisition system, validation of measured data
5) Uncertainty of the measured data, systematic and random errors, propagation of errors.
6) Basic measurement statistics (normal distribution, expected value, standard deviation,
confidence interval, statistical probes))
7) Digital data acquisition, sampling theorem
8) Fourier analysis
9) Correlation analysis
10) Interpretation of data (curve fitting, regression, linearization)
Assessment methods: Oral exam
Course title: Calculus II lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 2
Course objectives: The students learn about the basics of mathematical analysis, which is
required for the deeper understanding of physical phenomena.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course description: Integration - The definite integral. Indefinite integrals, the Fundamental Theorem of Calculus.
- Integration using substitution. Integration by parts. - Integration of rational functions by
partial fractions. - Trigonometric and hyperbolic integrals. Trigonometric and hyperbolic
substitutions. - Improper integrals. - Numerical integration. Applications of definite integrals -
Calculating areas and volumes. Lengths of plane curves. Solids and surfaces of revolution. -
Moments, centers of mass, work, fluid pressures and forces. First order ordinary differential
equations - Slope fields, separable differential equations. First order linear differential
equations. - Numerical solution of differential equations. Autonomous differential equations.
Infinite series - Convergence tests. - Power series, applications of power series. Fourier series.
Vector-valued functions - Vector-valued functions and their differentiation. Arc length along
a space curve. Differential calculus of functions of several variables - Limits and continuity in
higher dimensions. - Partial derivatives. The Chain Rule. Taylor's formula in higher
dimensions. - Directional derivatives, gradient vectors. - Finding extreme values. - Partial
derivatives with constrained variables. Multiple integrals - Double and triple integrals. Area,
volume, moments and centers of mass. - Double integrals in polar form. Triple integrals in
cylindrical and spherical coordinates. - Substitutions in multiple integrals.
Assessment methods: Oral exam
Course title: Calculus II p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The students learn about the basics of mathematical analysis, which is
required for the deeper understanding of physical phenomena
Course description: 1) Integration
- The definite integral. Indefinite integrals, the Fundamental Theorem of
Calculus.
- Integration using substitution. Integration by parts.
- Integration of rational functions by partial fractions.
- Trigonometric and hyperbolic integrals. Trigonometric and hyperbolic
substitutions.
- Improper integrals.
- Numerical integration.
2) Applications of definite integrals
- Calculating areas and volumes. Lengths of plane curves. Solids and surfaces of
revolution.
- Moments, centers of mass, work, fluid pressures and forces.
3) First order ordinary differential equations
- Slope fields, separable differential equations. First order linear differential
equations.
- Numerical solution of differential equations. Autonomous differential
equations.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
4) Infinite series
- Convergence tests.
- Power series, applications of power series. Fourier series.
5) Vector-valued functions
- Vector-valued functions and their differentiation. Arc length along a space
curve.
6) Differential calculus of functions of several variables
- Limits and continuity in higher dimensions.
- Partial derivatives. The Chain Rule. Taylor's formula in higher dimensions.
- Directional derivatives, gradient vectors.
- Finding extreme values.
- Partial derivatives with constrained variables.
7) Multiple integrals
- Double and triple integrals. Area, volume, moments and centers of mass.
- Double integrals in polar form. Triple integrals in cylindrical and spherical
coordinates.
- Substitutions in multiple integrals.
Assessment methods: Midterm and final test
Course title: Discrete mathematics lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 2
Course objectives: To introduce basic mathematical and discrete mathematical notions and
ideas
Course description: Basic concepts of set theory, operations with sets. Relations, inverse
relations, equivalence, partial ordering, total ordering, classes. Relation between equivalence
relation and class partition. Function as a relation, types of functions, operations, product of
relations. Associativity of product of relations. Basic concepts of combinatorics,
permutations, variations, combinations (with repetition, too). Binomial theorem, polynomial
theorem, identities about binomial coefficients, inclusion-exclusion formula. Recursion,
Fibonacci and Catalan numbers. Construction of the idea of numbers. Natural numbers,
Peano's axioms. Basic concept of graph theory, graph isomorphism, paths, cycles,
connectivity, tree, spanning tree. Number of cycles in a graph, cut, number of cuts, Kruskal's
algorithm, planar graphs, Euler's formula, Kuratowski's graphs. Euler and Hamilton cycles.
Directed graph, strongly connected components. Graphs and matrices.
Assessment methods: Final exam
Course title: Discrete mathematics p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course objectives: To introduce basic mathematical and discrete mathematical notions and
ideas.
Course description: Problems and exercises related to the following topics: Basic concepts
of set theory, operations with sets. Relations, inverse relations, equivalence, partial ordering,
total ordering, classes. Relation between equivalence relation and class partition. Function as
a relation, types of functions, operations, product of relations. Associativity of product of
relations. Basic concepts of combinatorics, permutations, variations, combinations (with
repetition, too). Binomial theorem, polynomial theorem, identities about binomial
coefficients, inclusion-exclusion formula. Recursion, Fibonacci and Catalan numbers.
Construction of the idea of numbers. Natural numbers, Peano's axioms. Basic concept of
graph theory, graph isomorphism, paths, cycles, connectivity, tree, spanning tree. Number of
cycles in a graph, cut, number of cuts, Kruskal's algorithm, planar graphs, Euler's formula,
Kuratowski's graphs. Euler and Hamilton cycles. Directed graph, strongly connected
components. Graphs and matrices.
Assessment methods: 2 Midterm exams
Course title: Mathematical methods in physics III p.c.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The course focuses on basic mathematical skills required for studying
physics, but usually acquired by the students only much later in mathematics courses. New
material is always presented first in an intuitive way without rigorous mathematical proofs
and then the emphasis is on independent problem solving.
Course description:
Differential equations
1) Notion and classification of differential equations, classification of solutions
2) Obtaining differential equations, initial value problems
3) First order differential equations, separable differential equations, equations reducible
to separable differential
4) equations, exact differential equations
5) Linear first order differential equations, differential equations reducible to linear
differential equations
6) Second order differential equations, linear differential equations, incomplete
differential equations
Probability theory
7) Basic combinatorics
8) Events, notion of classical probability, axioms of probability theory
9) Conditional probability, Law of total probability, Bayes’ theorem, independent events
10) Random variables, cumulative distribution functions, expectation value, variance,
moments
11) Most important discrete probability distributions
12) Continuous probability distributions and their moments, distribution of transformed
random variables
13) Most important continuous probability distributions
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Assessment methods: Midterm and Final test
Course title: Computer technology II lec.
Language of instruction: English
Teaching period: Fall
Class hours per week: 2
Credits (ECTS): 2
Course objectives: The course discusses the basic computer hardware and their architecture,
in the perspective of the evolution of the technology.
Course description: Three bus architecture of computers, bus systems. Structure and
operation of memory elements: dynamic and static memory, RAM, ROM, PROM, EPROM,
EEPROM. The inner structure of processors, operation and services. Memory addressing,
memory protection, privilege levels, task handling, I/O handling, interrupt system,
multiprocessor systems.
Computer peripherals: structure and principles of operation. Storage solutions. Magnetic,
optical and magnetooptical media. Floppy drive, Hard disk drive, CD-ROM. Magnetic tape
storage solutions. Type of printers, modes of operation. Digitizing tablets, scanners and
graphic pointers.
Assessment methods: Oral exam
Course title: Economics
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The course is designed to help students understand the basics of
economic principles. It teaches them how economics relates to the everyday life of individuals
or business. After the course, students should have a better understanding of everyday
economic issues.
Course description:
1) Economics basics (definitions, production possibility frontier, the circular flow, types
of resources)
2) History of economic thought I.
3) History of economic thought II.
4) Basics of macroeconomics
5) Economic basics: supply and demand
6) Economic basics: monopolies, oligopolies and perfect competition
7) Economic policy: fiscal and monetary policy. Tools and goals
8) Unemployment (definition, measures, effects, types of unemployment and causes)
9) Inflation (History, definition, measures, effects, causes, controlling)
10) History of the money: from barter to banknotes and electronic money
11) The banking systems (history, types of the banks, activities, banks in the economy)
12) Basics of international economics
Assessment methods: Written exam
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Calculus I lec.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The students learn about the basics of mathematical analysis, which is
required for the deeper understanding of physical phenomena..
Course description:
1. Preliminaries
a. Basics of set theory. Natural numbers, integers and rational numbers.
Algebraic, order and completeness properties of the real line. Decimal
representation of real numbers. Absolute value and its properties, intervals.
b. The notion of functions. Domain, range and graph of functions. Ways to define
functions. Basic function types. Sum, difference, product and quotient of
functions. Composite functions. Transformations of graphs of functions.
2. Limits and continuity
a. Average and instantaneous rates of change. Calculating limits.
b. The precise definition of a limit. Theorems concerning limits. One-sided
limits.
c. Limits at infinity. Infinite limits. Horizontal, oblique and vertical asymptotes.
d. Continuity. Operations with continuous functions. Compositions of continuous
functions. Continuous extensions of functions. The Intermediate Value
Theorem for Continuous Functions.
3. Differentiation and its applications
a. Tangent to a curve. Derivative at a point.
b. Derivative functions. Relation between differentiability and continuity.
c. Derivatives of powers, sums, products and quotients. Derivatives of
trigonometric functions. Higher order derivatives.
d. The derivative as a rate of change. Motion along a line: displacement, velocity,
acceleration. Derivatives in economics.
e. Derivatives of inverse functions. The Chain Rule. - Parametric curves, slopes
of parametrized curves. Implicitly defined functions, implicit differentiation.
Related rates. Linearizations.
f. Local and global extrema. Extreme values of continuous functions. Finding
exterma.
g. Rolle's Theorem. The Mean Value Theorem and its consequences.
h. Connection between monotonity of a function and its first derivative.
Concavity and points of inflection. Graphing functions using their first and
second derivatives.
i. Applied optimization problems.
j. Cauchy's Mean Value Theorem. L'Hospital's Rule.
k. Finding roots using Newton's method.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
4. Infinite sequences and series
a. Infinite sequences. Limits of convergent sequences. Divergent sequences.
Calculating limits of sequences.
b. Monotonic and bounded sequences. Commonly occuring limits.
c. Infinite series. Convergent and divergent series. Operations with series,
reindexing series. Basic convergence test. Absolutely convergent series.
Assessment methods: Oral exam
Course title: Calculus I p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The students solve problems concerning the basics of mathematical
analysis, developing logical reasoning, analysis, problem-solving skills, creativity, abstract
thinking, and the ability to use apply the learnt methods in solving physics problems.
Assessment methods: Oral exam
Course title: Mathematical methods in physics II p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Acquire knowledge and computation skill in vector analysis that is
necessary for the courses on Theoretical Mechanics and on Electrodynamics in particular.
Course description:
1. Scalar fields, niveau surfaces, directional derivatives, the gradient.
2. Vector fields, line integral, Poincaré’s 1st Lemma and Stokes’ Theorem.
3. The flux and divergence of vector fields. Gauss’ Theorem. Poincaré’s 2nd Lemma
4. Matrix representation of linear transformations.
5. The index notation: usage of Kronecker and Levi-Civita symbols.
6. All of these illustrated by a bunch of exercises and problems.
Assessment methods: Written exam
Course title: Thermodynamics lec.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Mastering the basic thermodynamic concepts, and acquiring general skills
in scientific reasoning through the subject of thermodynamics
Assessment methods: Oral exam
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Thermodynamics p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Mastering the basic thermodynamic concepts, and acquiring general skills
in scientific reasoning through the subject of thermodynamics
Course description: 1. Empirical temperature, state-equation
2. The molecular structure of material
3. The major principles of thermodynamics, and their applications
4. The entropy
5. Phase transitions
Assessment methods: Oral exam
Course title: Waves and optics lec.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The major learning outcomes for this course are Problem Solving and
Quantitative Reasoning. Upon successful completion of the course, the student must be able
to understand the basic concepts of oscillations, waves and optics. Students will have the
basic understanding of both geometrical and wave optics. They will be able to solve simple
problems by studying the appropriate equations describing optical and general wave
phenomena.
Course description:
Oscillations.
Harmonic and anharmonic oscillations. Differential equation of harmonic motions.
Mathematical
pendulum, anharmonicity. Result of more harmonic motions, beating. Decomposition of
oscillations. Fourierseries.
Damped oscillations, forced oscillations, their differential equations. Resonance. Coupled
oscillation.
Waves.
Types of waves, polarization. Wavelength, traveling velocity. Function of a wave traveling
along a line.
Traveling velocity of longitudinal and transversal mechanical waves. One dimensional wave-
equation and its
solutions. The principle of superposition. Interference of waves, constructive and destructive.
Standing wave,
resonant frequency. Wave-group. Phase- and group velocity. Reflection, refraction and
interference of twodimensional
waves. Huygens and Huygens-Fresnel principle. Wave-function of three dimensional waves.
Plane-wave, spherical wave. Energy density in wave.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Sound.
Production and sensing of sound. Properties of sound. Measuring of sound intensity, the
decibel scale.
Sensing of sound, the unit of phone. Measurement of the speed of sound. Doppler effect.
Head-wave, Machnumber.
Geometrical optics.
Propagation of light. Velocity of light. Reflection and refraction. Total reflection. Plane
and spherical mirrors. Lenses and thick lenses. Lens systems. Aberration of lens. Camera,
projectors. Magnifier,
microscopes, telescopes. Eye. Colors.
Wave optics.
Wave theory of light. Superposition and dispersion. Coherence condition and interference.
Interferometers.
Dielectric layers. Diffraction. Gratings. Atmospheric light phenomena. Holography.
Polarization.
Birefringence. Optical activity. Photometry. Absorption.
Assessment methods: Oral exam. Maximum number of absence is: 3.
Course title: Waves and optics p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The major learning outcomes for this course are Problem Solving and
Quantitative Reasoning. Upon successful completion of the course, the student must be able
to understand the basic concepts of oscillations, waves and optics. Students will have the
basic understanding of both geometrical and wave optics. They will be able to solve simple
problems by studying the appropriate equations describing optical and general wave
phenomena.
Course description:
Oscillations.
Harmonic and anharmonic oscillations. Differential equation of harmonic motions.
Mathematical
pendulum, anharmonicity. Result of more harmonic motions, beating. Decomposition of
oscillations. Fourierseries.
Damped oscillations, forced oscillations, their differential equations. Resonance. Coupled
oscillation.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Waves.
Types of waves, polarization. Wavelength, traveling velocity. Function of a wave traveling
along a line.
Traveling velocity of longitudinal and transversal mechanical waves. One dimensional wave-
equation and its
solutions. The principle of superposition. Interference of waves, constructive and destructive.
Standing wave,
resonant frequency. Wave-group. Phase- and group velocity. Reflection, refraction and
interference of twodimensional
waves. Huygens and Huygens-Fresnel principle. Wave-function of three dimensional waves.
Plane-wave, spherical wave. Energy density in wave.
Sound.
Production and sensing of sound. Properties of sound. Measuring of sound intensity, the
decibel scale.
Sensing of sound, the unit of phone. Measurement of the speed of sound. Doppler effect.
Head-wave, Machnumber.
Geometrical optics.
Propagation of light. Velocity of light. Reflection and refraction. Total reflection. Plane
and spherical mirrors. Lenses and thick lenses. Lens systems. Aberration of lens. Camera,
projectors. Magnifier,
microscopes, telescopes. Eye. Colors.
Wave optics.
Wave theory of light. Superposition and dispersion. Coherence condition and interference.
Interferometers.
Dielectric layers. Diffraction. Gratings. Atmospheric light phenomena. Holography.
Polarization.
Birefringence. Optical activity. Photometry. Absorption.
Assessment methods: Maximum number of absence is: 3.
Homeworks 33%, + 2 Midterm exams 66%
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Modern physics II lec.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Principles of modern physics: quantum mechanics, atomic physics,
nuclear physics, solid-state physics; scientific and technical applications
Course description: Atomic nucleus. Structure and size. Mass and binding energy. Forces.
Radioactive decay and nuclear reactions. Beta, gamma, and alpha decay. Fission and fusion.
Elementary particles. Hadrons and leptons. Conservation laws. Quarks. Force carrier
particles. Particle accelerators and detectors.
Condensed matters. Structure description of crystalline materials. Crystal lattice.
Crystal diffraction and reciprocal lattice.
Lattice vibrations. Phonons. Infrared absorption. Raman scattering. Inelastic scattering of
neutrons.
The phonon contribution to the specific heat. Interaction between thermal conduction and
phonons.
Free electron Fermi gas. Specific heat of electron gas.
Band structure of solids. Dopant energy levels.
Electric, optical and magnetic properties of solids. Superconductivity.
Micro- and nanostructures. Liquids and polymers.
Microscopy techniques for materials science.
Test.
Assessment methods: Test
Course title: Classical mechanics lec.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course description: Introduction: basic notions of mechanics. Newton's laws for point
particles. Dynamics of a particle, energy, momentum, angular momentum. Systems with one
degree of freedom. Equilibrium and its stability, small oscillations (damped and driven
harmonic oscillator). Dynamics of a system of point particles; energy, momentum, angular
momentum. Constraints, the Lagrangian formulation of mechanics. The principle of least
action. Generalized momenta, symmetries and conservation laws. The gravitational two-body
problem, Kepler's laws. Non-inertial (accelerating and rotating) frames of reference. Rigid
bodies (kinematics, dynamics, the inertia tensor). Rotation around a fixed axis, planar motion
of rigid bodies. Torque-free motion of the spherical and symmetric top.
Assessment methods: Oral exam
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Classical mechanics p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course description: Introduction: basic notions of mechanics. Newton's laws for point
particles. Dynamics of a particle, energy, momentum, angular momentum. Systems with one
degree of freedom. Equilibrium and its stability, small oscillations (damped and driven
harmonic oscillator). Dynamics of a system of point particles; energy, momentum, angular
momentum. Constraints, the Lagrangian formulation of mechanics. The principle of least
action. Generalized momenta, symmetries and conservation laws. The gravitational two-body
problem, Kepler's laws. Non-inertial (accelerating and rotating) frames of reference. Rigid
bodies (kinematics, dynamics, the inertia tensor). Rotation around a fixed axis, planar motion
of rigid bodies. Torque-free motion of the spherical and symmetric top.
Assessment methods: Written exam
Course title: LabVIEW basics p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The course introduces the students to LabVIEW. Besides being
introduced in the main features of the software through presentations, the students are
required to learn by solving simple problems. By the end of the course, students can write
simple codes for modeling basic physical calculations, and should be able to use the built-in
assistance tools (Help, Example files, etc.) to learn new features.
Course description: Definition, methods and instruments of measurement. Parts of a
LabView monitor: front panel, block diagram, the structure of a vi. The elements of the G
language. Data-flow based, parallel execution. The most important data types. Programming
structures. Creating and including sub-vi-s. LabVIEW VI-library (.llb). Priorities. Timing and
synchronization of different parts of the program. Local and global variables. File I/O.
Implementation of small example codes. Usage of the assistance tools, reading example vi-s.
Assessment methods: oral exam with code implementation
Course title: Physics and electronics lab. II
Language of instruction: English
Teaching period: Spring
Class hours per week: 4
Credits (ECTS): 4
Course objectives: Acquiring experimental skills, interpretation of measurement data, proper
documentation of measurements.
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course description: 1. Examination of processes with ideal gas. Verification of the gas laws.
2. Measurement of the linear thermal expansion coefficient of solids. Measurement of
the thermal expansion coefficient of fluids.
3. Measurement of the heat capacity of a calorimeter. Measurement of the specific heat
of a solid body with calorimetry.
4. Measurement of the latent heat of melting of ice.
5. Measurement of the heat capacity ratio (cp / cv) of air.
6. Examination of the pressure dependence of the boiling point. Measurement of the
latent heat of boiling of water.
7. Measurement of Joule-Thomson coefficient.
8. Measuring of voltage and intensity of direct current and resistance. Method to measure
the resistance.
9. Ohm’s law, Potentiometer. Resistance measurement by means of Wheatstone-bridge.
Power supplies.
10. The intensity of a coil's magnetic field, force between two current carrying wires.
11. Electric heating. Calibration of temperature sensors. Temperature measurements by
thermo-electric detectors (thermistor and thermocouples). Calorimetry.
12. Study of alternating current resistance. Impedance of R, L, C component.
13. RLC series circuit and resonance. Measurement of the RLC resonance curve
Assessment methods: Students have to report for evaluation of laboratory exercises in lab
book.
Course title: Lasers and their applications lec.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 2
Course objectives: This subject introduces the students into the world of photonics, deepens
the concepts learned in the frame of „Waves and Optics” and gives examples for scientific
and everyday applications of photonics technologies.
Course description: Absorption and emission of photons. Condition of amplifications.
Linewidth, line shape function, properties of saturation. The principle of matrix optics.
Properties of Gaussian beams. Resonator modes. Rate-equations of lasers. Gas lasers. Solid-
state lasers. Q-switching. Dye lasers and broadband solid-state lasers. Laser tuning.
Semiconductor lasers. Ultrashort pulse lasers. Nonlinear optics in laser physics. Free electron
lasers. Application of lasers.
Assessment methods: Oral exam
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Numerical methods lec.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 2
Course objectives: The students learn about the various numerical methods, their way of
application, and obtain some practice by programming them by themselves.
Assessment methods: Oral exam
Course title: Numerical methods p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: The students learn about the various numerical methods, their way of
application, and obtain some practice by programming them by themselves.
Assessment methods: Evaluation based on regular assignments.
Course title: Computer programming I p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Introductory course in computer programming. Its aim is to develop the
algorithmic problem solving attitude, and to become able to perform procedural programming
in an imperative language.
Course description: Introduction to scientific programming: formulating mathematical
models of physical problems, construction and implementation of algorithmic models, the
evaluation of the results. Representation of numbers, issues of floating point arithmetics. The
use of the Maple interpreter. Variables. Flow control (conditionals, loops) and their
application in actual problems. Functions and procedures in Maple. Libraries and their
applications. Elements of the C programming language. Types. Flow control. Arrays.
Pointers, pointer arithmetics, dynamical memory allocation. Functions in C. Construction and
compilation of programs with multiple modules. Construction and applications of libraries.
All the issues are introduced through actual problems
Assessment methods: grade based on written exams and homeworks
UNIVERSITY OF PÉCS
7622 Pécs Vasvári Pál u. 4. Hungary
Telephone: +36 72 501 500/12418 Fax: +36 72 501 508
E-mail: [email protected]
Course title: Computer programming II p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 2
Credits (ECTS): 3
Course objectives: Introduction to the basics of object oriented programmig. Development of
the ability to create object oriented console applications
Course description: Objects, classes and namespaces in C#. Basics of object-oriented
programming. Development of console applications with Visual Studio C#.
Assessment methods: Grade based on written exams and homeworks
Course title: Quantum mechanics lec.
Language of instruction: English
Teaching period: Spring
Class hours per week: 3
Credits (ECTS): 3
Course objectives: to acquire knowledge of quantum behavior and of basic methods of
quantum mechanics
Assessment methods: Oral exam
Course title: Quantum mechanics p.c.
Language of instruction: English
Teaching period: Spring
Class hours per week: 3
Credits (ECTS): 3
Course objectives: to acquire basic knowledge of treating quantum mechanical problems
Course description: Quantum behavior: particles and waves, probability amplitudes. The
wave function as probability amplitude. The time-dependent Schrödinger equation. Stationary
states and the time-independent Schrödinger equation, the Hamilton operator. The position
and the momentum operator. Motion in one-dimensional static potential: step potential,
infinite well, potential barrier. Postulates of quantum mechanics: description of physical state
with wave function or state vector, Hermitian operators as observables, possible results of
measurements and outcome probabilities, collapse of wave function after a measurement.
Mean value of an observable and the root-mean-square deviation. Angular momentum in
quantum mechanics. Spin.
Assessment methods: Written exam at the end of semester