## Compulsory Courses

 Undergraduate Studies Program, Courses and Teaching staff The following sections give a short description of the syllabus of mandatory and elective courses offered in our Department. Each course is assigned a code number and a credit, given in parentheses after the course title. The teaching hours (theory, exercises, laboratory) are quoted in parentheses at the end of each syllabus, together with the teaching staff for the current academic year. Compulsory Courses 1rst SEMESTER __________________________________ 11. MECHANICS (5) Motion in one dimension. Motion in two dimensions. Particle dynamics. Work and energy. Energy conservation. Momentum conservation. Particle collisions. Kinematics of rotation. Angular momentum conservation. Rigid bodies. Oscillations. Gravitational force. Fluid statics and dynamics. (4, 2, 0) Vlachos D. {even} - Evangelakis G. {odd} 12. DIFFERENTIAL AND INTEGRAL CALCULUS (5) Real functions, limits, continuity. Differentiability, integrability. Sequences, series, power series, Taylor and Maclaurin power series. Multivariate functions, partial derivatives, Taylor's formula. Maxima, minima, Lagrange multipliers. Introduction to common first order differential equations Temporary Teaching Staff - Mathematics Department. 13. LINEAR ALGEBRA AND ELEMENTARY ANALYTICAL GEOMETRY (4) Basic algebraic structures and vector spaces. Linear transformations, matrices, determinants and applications. Eigenvalues, eigenvectors, diagonization of matrices. Basics of Analytical geometry. Line, conic sections, sphere and other curves. Basics of simple combinatorial analysis and probability. (4,1,0) Triandafyllopoulos I. {even} 14. INTRODUCTION TO COMPUTERS (4) General description of computer structure. Hardware. Software. DOS, UNIX operational systems. WINDOWS platform. Text editors. Spreadsheets. Graphics and data analysis. Algorithms. (0,0,4) Bakas T., Douvalis A., Patronis N. 15. ELEMENTS ON PROBABILITIES AND STATISTICS (4) Probability space, random variables, probability density function. Theoretical distributions (binomial, geometrical, Poisson, normal etc.) and distribution parameters (mean, median, dispersion etc.). Random variables functions and probabilistic description. (3,0,1) Manesis E. (in charge,) Theodoridou E.,Vlachos D. 2nd SEMESTER__________________________________ 21. ELECTROMAGNETISM (5) Electric charge. Electric field and Gauss law. Electric potential. Capacitors and dielectrics. Electric properties of matter. Electric current and resistance. Electromotive force and circuits. Magnetic field. Biot-Savart and Ampere-Faraday law. Self-induction. Magnetic properties of matter. Alternating current and RCL circuits. Maxwell equations and electromagnetic waves. (4,1,0) Nicolis N. { even} - Aslanoglou X. {odd} 22. DIFFERENTIAL EQUATIONS AND INTRODUCTION TO COMPLEX NUMBER ANALYSIS (5) Second and higher order differential equations. Partial differential equations. Separation of variables, series solutions, Frobenius method. Basic functions as solutions to differential equations. Simple systems of differential equations. Algebra of complex numbers. Single complex variable functions, Cauchy-Riemann conditions, Analytical functions, Harmonic functions, basic functions (exponential, logarithmic, trigonometric, inverse functions), branching, Riemann surfaces. (3,2,0) Triandafyllopoulos I.,{ even} - Kolasis C. {odd} 23. LABORATORY IN MECHANICS AND HEAT (4) Mechanics: Instrumentation. Systematic and random errors. Velocity, acceleration, power, torques. Newtonian laws, conservation of momentum, angular momentum and energy. Oscillations. Friction. Heat: Expansion of solids. Specific heat. Statistical phenomena. (1,0,3) Kamaratos M., Theodoridou E., Vlachos D., Papanicolaou N., Douvalis A. 24. VECTOR CALCULUS (4) Vector algebra. Scalar product, vector product, triple product. Vector functions. Space curves, planar motion, computer graphs of parameterized curves. Equipotential surfaces, physical interpretation. Directional derivative, gradient, divergence, curl, Laplace function, vector identities. Computer applications. Surface and volume integrals, conservative fields and potentials. Divergence theorem. Green identities, Stokes theorem. Applications in Electromagnetism and Hydrodynamics. Rectangular, cylindrical and spherical coordinate systems. Differential operators and computer calculations. Introduction to tensors, N-dimensional vector spaces, rotations. Covariant and contravariant tensors. Programming applications. (3,1,0) Vagionakis K. { even}- Batakis N.{odd} 25. PROGRAMMING LANGUAGES (4) Introduction to C programming language. Introduction to Linux. Simple input-output command lines. formulas, operators. Flow command lines. Program functions and structure. Matrices. Structures. (2, 0, 2) Kokkas P. (in charge), Euaggelou I.,Papadopoulos I., Manthos N., Temporary Teaching Staff 3rd SEMESTER __________________________________ 31. WAVES (5) Waves in elastic media. Wave types, wave quantities, wave equation. Harmonic waves. Interference, standing waves, dispersion. Transmission velocity in elastic media. Resistance of medium. Acoustic waves. Maxwell equations and electromagnetic waves. Nature and propagation of light. Interference, diffraction, spectra. Reflection, refraction. Polarization, birefringence. (4,1,0) Liras Α. { even} - Filis I. (in charge) { odd} 32. MODERN PHYSICS I (4) Relativity theory: Galileo transformations. The Michelson-Morley experiment. Special relativity. Lorentz transformations. Energy and momentum. Elements of general relativity. Quantum-mechanics: black body radiation. Photoelectric effect. Compton effect. Pair production and annihilation. The Bohr model of the atom. The Davison-Germer experiment. De Broglie waves. Heisenberg uncertainty principle. Wavefunctions. Schroedinger equation. (3,1,0) Kokkas P. ,Kosmidis K. { even} - Pakou A., Kokkas P.{ odd} 33. CLASSICAL MECHANICS I (4) Kinematics. Principles of Newtonian Mechanics. Motion in a one-dimensional potential (harmonic oscillator, potential barrier). Central forces. Fundamental forces and dispersion. Inertial forces. Phenomenological forces (3,1,0) Rizos I. { even} - Throumoulopoulos G.{ odd} 34. COMPLEX NUMBERS CALCULUS AND INTEGRAL TRANSFORMATIONS (5) Real variable complex functions, Loop integrals, Cauchy-Goursat theorem, Cauchy integral formula, Derivatives, Theorems (Morera, Liouville etc.). Taylor, Laurent series, convergence, differentiation. Integral residuals, theorems, poles, radicals. Moebius transformations. Conformal representations, applications. Poisson formula. Analytical continuity. Computer applications. Fourier integrals, Laplace transformations, Reciprocal Laplace transformation. Generalized functions, the δ(x) distribution. Laplace and Poisson differential equations. Basics of Green functions. (3,2,0) Kolasis C. 35. LABORATORY COURSES IN ELECTROMAGNETISM (4) Experiments in electromagnetism: electric current, resistance measurement, electromotive force, electrical power, ohmmeter, galvanometer. Zero measurement methods and bridges. Potentiometers. Magnetic field, induction. Oscilloscope. Transition phenomena. Alternating current. RC, RL, RCL circuits. Impedance. Frequency filters. (1,0,3).Ioannides K. (in charge), Evangelou J., Nicolis N., Aslanoglou X., Ioannidou-Fili A., Ikiadis A. 4rth SEMESTER __________________________________ 41. THERMODYNAMICS (4) Basics. State equations. Thermodynamic axioms. Thermodynamic potentials. Phase transitions. Kinetic theory of gases. Microscopic interpretation of macroscopic quantities. Maxwell distribution of molecular velocities. Classical interpretation of heat capacitance. (3,1,0) Foulias S. { even} - Floudas G. { odd} 42. MODERN PHYSICS II (5) Atomic structure: the Hydrogen atom. Electron spin. Stern-Gerlach experiment. Multielectron atoms. Pauli exclusion principle and periodic system. Stimulated light emission and laser. Molecules and solids: molecular bonds. Spectra of diatomic molecules. Basics of band theory and conduction. Nuclear structure: classification of nuclei. Nuclear structure models. Alpha and beta decay. Fission and fusion. Elemental particles: fundamental forces. Particle classification. The Standard model description. (4,1,0) Manthos N, Kosmidis K. {even} - Pakou A., Kosmidis K. {odd } 43. CLASSICAL MECHANICS II (4) Rigid body mechanics. Introduction to the theory of potential. Introduction to Lagrangean and Hamiltonian dynamics. Introduction to analytical Mechanics: basic theorems and effects in the phase space, description of non-linear dynamic systems. (3,1,0)Rizos I. { even} - Throumoulopoulos G.{ odd} 44. LINEAR ELECTRONICS (5) Theory of circuits. Semiconductors, pn junction, properties. Solid-state diodes (rectifiers, zener, varicap, LASER, LED, photodiodes etc.), operation of circuits and applications. Transistors, equivalent circuits, Field Effect Transistor (FET). Transistor amplifiers, low signal amplification. FET amplifiers. Multi-stage amplifiers. Output gradients. Current sources, active charges. Thyristors, Diac, Triac, UJT etc. analysis, operation and applications. Frequency response of amplifiers. Differential amplifier. Operator amplifier, ideal - non ideal. Active filters, High frequency model transistors. (2,1,2) Kostarakis P., Ivrisimtzis L., Katsanos D., Euaggelou E. 45. LABORATORY COURSES IN WAVE PHYSICS AND OPTICS (5) Light optics: reflection, refraction, polarization, dispersion, interference, diffraction, wave length and light velocity, lenses, optical fibers, holography, optical spectroscopy, emission spectra, absorption spectra. Microwaves: Intensity distribution, reflection, refraction, polarization, interference, diffraction, optical waveguides. Ultrasonic acoustics: spectral distribution, intensity distribution, wave length, transmission velocity, interference, diffraction. (1,0,4) Cohen S. (in charge), Ikiades A., Lyras A., Aslanoglou X. 5th SEMESTER __________________________________ 51. QUANTUM THEORY I (4) Basic concepts: probability amplitude, operators, wavefunctions. Schrodinger equation. One-dimensional potentials, Simple two state systems. Harmonic oscillator. Symmetries. Angular momentum, spin. (3,1,0) Tamvakis K. { even} - Dedes A. { odd} 52. CLASSICAL ELECTRODYNAMICS I (4) Electrostatic field and potential function. Work and energy in electrostatics. General methods for calculating potential. Electrostatic fields in matter. Magnetostatic field and vector potential. Magnetostatic fields in matter. (3,1,0) Kosmas Th. { even} - Perivolaropoulos Leandros { odd} 53. DIGITAL ELECTRONICS (5) Binary arithmetic, basic operations. Bool algebra, logic circuits, digital signals. Basic gates (AND, NAND, OR, NOR, XOR, XNOR), conversions, combinations. Characteristics and specifications of CMOS, TTL, ECL, PECL gates. Flip Flop, Shift Register, Counters, Multiplexer-Demultiplexer, Serial Interfaces. Timing-clock circuits. Pulse-series generators, semiconductor memories (RAM, ROM, PROM, EPROM, EEPROM). Modern High-Integration Circuits (PAL, PLD, CPLD). ADC, DAC. Introduction to VHDL. (2,1,2) Kostarakis P., Evangelou E., Katsanos D. 54.GENERAL CHEMISTRY (4) Plakatouras I., Tsipis A. (Chemistry Department) Elements of organic and inorganic chemistry (3,1,0) *. ONE OF THE FOLLOWING COURSES: 405. ENVIRONMENTAL PHYSICS (4) Air pollution. Sources and cycles of atmospheric pollutants. Aerosols. Particle classification according to their size. Removal mechanisms of atmospheric pollutants. Structure of boundary layer. Reynold's number. Air pollution and Meteorology. Models of transfer, diffusion and settlement. Impact of temperature distribution on diffusion. Impact of meteorological parameters. Pollution sinks. Impact of air pollution in weather and climate. Pollution consequences in health, natural environment and biota. Radioactive contamination. Noise pollution. Physics and pollution of waters (sea, lakes, rivers) and soil. Solar, wind and other renewable energy sources (geothermy, biomass, waterfalls). (3,1,0) Kassomenos Pavlos 408. INTRODUCTION TO ASTROPHYSICS (4) Instrumentation in astronomy. Astronomical coordinates. Stars: spectra and photometry, classification, internal structure and atmosphere, thermonuclear reactions and energy production in stars, origin of radiation, motion and physical features. Star formation and evolution. Stars groups. Outer space matter and radiation.(3,1,0) Nindos A. 6th SEMESTER __________________________________ 61. QUANTUM THEORY II (4) Central potential. Hydrogen-like atoms. Degeneracy. Fine and hyperfine structure. Perturbation theory. Dispersion. Identical particles. Pauli's principle. (3,1,0) Tamvakis K. { even} - Dedes A.{ odd} 62. CLASSICAL ELECTRODYNAMICS II (4) Faraday law. Maxwell equations. Energy and momentum in electrodynamics. Electromagnetic waves in conductive and non conductive media. Dispersion. Electric and magnetic dipole radiation. Point charge radiation. Basic concepts of relativity in electrodynamics. (3,1,0) Kosmas Th. { even} - Perivolaropoulos L. { odd} *. TWO (2) ELECTIVE COURSES OF THE SPRING SEMESTER 7th SEMESTER __________________________________ 71. STATISTICAL PHYSICS I (4)      Overview of classical thermodynamics. Statistical thermodynamics of an isolated system. Thermal systems with constant number of molecules. Classical statistical mechanics. Thermal systems with variable number of molecules. Statistics of identical particles. (3,1,0) Manesis E. { even} - Dedes A.{ odd} 72. SOLID STATE PHYSICS I (4) Crystal structure. Reciprocal lattice. X-ray diffraction. Classical model of the free electrons (Drude). Quantum model of the free electrons (Sommerfeld). Energy band theory. Mechanical oscillations of the crystal lattice. Thermal properties of the solids. Magnetic properties of materials. (3,1,0) ) Kamaratos M. *. THREE(3) ELECTIVE COURSES OF THE FALL SEMESTER 8th SEMESTER __________________________________ *. FIVE (5) ELECTIVE COURSES OF THE SPRING SEMESTER