Lecturer: prof. dr hab. Jerzy Ginter

Semester: winter

Lecture hours per week: 4

Class hours per week: 4

Code: 13.201N101

Credits: 10

One-dimensional motion:

Definition. Kinematics and dynamics in one dimension. Newton’s Laws of motion. Force as a function of time, position and velocity. The harmonic oscillator, damped harmonic oscillator, forced harmonic oscillator.

Motion in three dimensions:

Vectors. Separable forces. Potential energy function. Three-dimensional oscillator. Motion in electromagnetic fields. Experiments of A. M. Bucherer (1908) and R. A. Millikan (1911). Hall effect. Co-ordinate systems, plane polar co-ordinates. Moving co-ordinate systems. Motion observed on the rotating Earth, Foucault pendulum. Central forces, angular momentum and central forces. Inverse – square forces. Kepler laws. Titius formula.

Special relativity:

Galilean relativity. Historical background. Galileo – Lorentz – Einstein transformation. Absolute velocity, light velocity. Relativistic kinematics and dynamics. Photons. Total and internal energy of the particle, mass of the relativistic particle. Bertozzi experiment (1964). Doppler effect, red-shift and expansion of the Universe. Hubble law. Photoelectric effect, Einstein equation, Planck constant. Compton effect, photon mass. Subtle is the physics, Galileo, Newton and Einstein physics. Planck units, Planck Era and the Big-bang.

M. Kozłowski, Fizyka I.

Prerequisites:

Pass of class exercises and examination.

Course: N102 Mathematics I

Lecturer: prof. dr hab. Grzegorz Łukaszewicz

Semester: winter

Lecture hours per week: 3

Class hours per week: 3

Code: 11.101N102

Credits: 7,5

Calculus of functions of one variable.

Sets, relations, mappings. Mathematical induction, sequences, limits. Continuous functions, fundamental properties, contractions and method of successive approximations.

Differential calculus: derivative, mean-value theorems, Taylor formula, extrema, convexity. Indefinite integral, methods of integrating.

Integral calculus: Riemann integral, fundamental theorem of calculus, applications.

K. Napiórkowski, Matematyka.

Prerequisites:

Pass of class exercises and examination.

Course: N103 Informatics

Lecturer: dr R. Kasztelanic, mgr Agnieszka Nowak

Semester: winter

Lecture hours per week: 0

Class hours per week: 4

Code: 11.001N103

Credits: 5

Practical knowledge of MS Word and Excel

Mathematica — elementary applications and elements of programming

Literature:

Prerequisites:

Pass grade.

Course: N104 Hygiene

Lecturer: M.D. Beata Różycka

Semester: winter

Lecture hours per week: 2

Class hours per week: 0

Code: 05.901N104

Credits: 2,5

First aid methods in sudden cases – theoretical classes and practical exercises.

Physiology and pathology of pubescence period. Detailed description of the somatic and psychical development. Disorder of the communicational process in the evolutionary age.

Social unadjustment, psychical and social aspects of adolescents maturation: dejection, neurosis, bulimia, anorexia, suicidal attempts. Aggressive behaviours among teenagers.

Maltreated child syndrome – the role of parent and teacher (tutor)

Adolescents toxicomania problems.

Learning hygiene, psychohygienics and its impact on working efficiency. Organising the place of work. Children and adolescents nourishment.

Aids – symptoms, infection possibilities.

Reanimating, practical exercise.

Literature:

Prerequisites:

Examination.

Course: N105 Psychology

Lecturer: mgr Jadwiga Krajewska

Semester: winter

Lecture hours per week: 2

Class hours per week: 1

Code: 05.801N105

Credits: 2,5

Scientific motion of psychology and its application. Development psychology. Factors which influence human development, genetics, human environment, personal activity.

Characterisation of development periods. Features of mature human personality.

Educational psychology. Growing to the values. Signs of the correct educational relation. Educational difficulties and fight with them.

Exercises of the possibilities of the improvement of the interpersonal contacts: communication, principles of the effective understanding– practical application, learning of the active hearing, legibility of the communicates.

Conflicts – destroy or build? Constructive methods for solution of the conflicts and negotiation. New and difficult situations – how to overcome them. How to solve the painful emotions? Knowledge “hot

” and “cold”.

Activation method in didactics.

J. Krajewska, Pomoc w samorozwoju osobowości.

Prerequisites:

Pass of class exercises and examination.

Course: N106 Physics II — Electricity and magnetism

Lecturer: prof. dr hab. Michał Nawrocki

Semester: summer

Lecture hours per week: 4

Class hours per week: 4

Code: 13.202N106

Credits: 10

Mechanics of a rigid body. Statics and dynamics of a rigid body. Rotation about a fixed axis. Simplified description of a gyroscope.

Electrostatics. The Coulomb’s law. Basic concepts of the field description. The Gauss’ law. Potential. Conductors and dielectrics in an electric field..

Direct current. Intensity of current. “Macroscopic” and “microscopic” Ohm’s law. Joule heat. Direct current in metals, semiconductors, solutions of electrolytes and in gases.

Magnetostatics. Magnetic field of a moving point charge. Field of direct currents, Biot–Savart’s and Ampere’s laws. Galvanometers and motors. Motion of charge particles in E and B fields.

Slowly varying currents. Electromagnetic induction. RC, RL, LC and RLC circuits. Power of alternating currents. Generator and transformer.

Magnetic properties of matter. Para, dia and ferromagnetics.

Maxwell’s laws.

J. Ginter , Fizyka II.

Prerequisites:

Pass of class exercises and examination.

Course: N107 Mathematics II

Lecturer: prof. dr hab. Grzegorz Łukaszewicz

Semester: summer

Lecture hours per week: 3

Class hours per week: 3

Code: 11.102N107

Credits: 10

Linear algebra and geometry.

Complex numbers: basic operations, geometric interpretation, properties of polynomials, applications.

Euclidean vector spaces: bases and dimension of a vector space, equations of lines and planes. Systems of linear equations and linear transformations, matrices, rank and determinant, vector product, symmetric linear mappings, eigenvectors and eigenvalues. Conic sections and surfaces of degree two.

Ordinary differential equations: Cauchy problems, elementary methods. Systems of linear equations with constant coefficients and higher order equations – homogenous and inhomogeneous

K. Napiórkowski, Matematyka.

Prerequisites:

Pass of class exercises and examination.

Course: N108 Rudiments of mechanics (lecture is given in English)

Lecturer: prof. dr hab. Mirosław Kozłowski

Semester: summer

Lecture hours per week: 1

Class hours per week: 0

Code: 13.202N108

Credits: 1

Kinematics in one dimension: differential calculus, integral calculus.

Dynamics in one dimension: Newton’s First Law of Motion, Newton’s Second Law, Newton’s Third Law.

Force as a function of position.

The harmonic oscillator.

Central forces.

Special relativity: Galilean relativity, Einstein relativity.

Application of special relativity to high energy particles.

The derivation of relativistic energy from Lorentz factor gamma.

M. Kozłowski, Rudiments of Mechanics.

Prerequisites:

Examination.

Course: N109 English in calculus (classes are given in English)

Lecturer: prof. dr hab. Kazimierz Napiórkowski

Semester: summer

Lecture hours per week: 0

Class hours per week: 1

Code: 11.102N109

Credits: 1

The most common structures in mathematical sentences.

Text from a book on calculus.

K. Napiórkowski, English in Calculus.

Prerequisites:

Pass-grade.

Course: N111 Sociology

Lecturer: dr Jadwiga Królikowska

Semester: summer

Lecture hours per week: 2

Class hours per week: 0

Code: 14.201N111

Credits: 2,5

Sociological perspective in defining community life.

Notion of social life. Social nature of a man. Influence of nature factors on social life.

Cultural bases for social life. Institutions propagating culture.

Theory of social groups. Typology and characteristics of human groups.

Theories of social progress. Factors of change and social development.

Social bond. Patterns of social interactions.

Social institutions of upbringing – families, neighbourhood, local communities, groups of the same age.

Influence of religious values on educational processes.

Sociological problems connected with school. Factors determining the access to education in contemporary societies.

Growing up to democracy. Ideals, values, principles and laws of democracy.

Contemporary educational innovations. Socialising and didactic role of moral and personal values.

S. Kosiński, Socjologia ogólna.

P. Berger, Zaproszenie do socjologii.

F. Znaniecki, Socjologia wychowania.

Prerequisites:

Examination.

Course: N112 Summer course for teachers, summer camp

Supervisor: prof. dr hab. Jerzy Ginter

Semester: summer

Time load of cours: 21 h

Time load of camp: 2 weeks

Code: 05.702N112

Credits: 4,5

Summer course: planning of educational work, scout method of working with children, teacher’s duties and tasks, art classes, topography, tourism, group dynamics, various styles of group management, organisation of camps, educational and game activities, accountancy, rules and regulations concerning the organisation of summer holiday camps, children’s safety and good health.

The first year student is obliged to complete a two-week summer holiday camp for children as a teacher.

Literature:

Prerequisites:

A certificate issued by the head of a summer course for teachers.

Course: N201 Physics III – Waves

Lecturer: prof. dr hab. Tomasz Hofmokl

Semester: winter

Lecture hours per week: 4

Class hours per week: 4

Code: 13.203N201

Credits: 10

Mechanical waves. 1D, 2D and 3D waves, sound waves. Impulses and sinusoidal waves. The classical wave equation. Energy of waves. Interference. Diffraction. Polarisation. Standing waves: strings, pipes, membranes.

Physical optics. Interference. Diffraction, diffraction grating. Line and continuous spectra. Velocity of light. The Maxwell’s hypothesis. Spectrum of electromagnetic waves. Radiation. Energy of radiation. Polarisation.

Geometric optics: basic concepts. Reflection and refraction laws. Mirrors, prisms and lenses. Optical instruments, the eye. Fresnel’s diffraction, resolving power of optical instruments. Dispersion of electromagnetic waves. Phase and group velocity. Birefringence.

Motion of sources and observers: Doppler’s law for mechanical and electromagnetic waves. The Michelson–Morley’s experiment.

J. Ginter, Fizyka III.

Prerequisites:

Pass of class exercises and examination.

Course: N202 Mathematics III

Lecturer: prof. dr hab. Kazimierz Napiórkowski

Semester: winter

Lecture hours per week: 3

Class hours per week: 3

Code: 11.103N202

Credits: 7,5

Functions of many variables.

Differential calculus: derivative, local invertibility, implicite functions, constrained extrema, tangent to a surface.

Integral calculus: multiple integrals, linear and surface integrals, vector fields, gradient, rotation and divergence, Stokes and Green theorems.

Calculus of probabilities. Conditional probability, independence, stochastic variable, expectation, distributions. Laws of large numbers.

K. Napiórkowski, Matematyka.

Prerequisites:

Pass of class exercises and examination.

Course: N204 Pedagogics

Lecturer: dr Stefania Elbanowska

Semester: winter

Lecture hours per week: 2

Class hours per week: 2

Code: 05.702N204

Credits: 5

Depending on the needs, the subject will be presented in the form of a lecture, class, seminar, speech and discussion. The decision will be made by the lecturer, bearing in mind the subject matter. Participation of invited guests is planned. Students are obliged to complete school training of 25 hours during the semester. School training will be analysed during the class.

Pedagogics: basic terms, relationships with other sciences.

Methodology and techniques of pedagogical research (pedagogical experiment, monograph, individual case method, diagnostic polling, interview, document studying).

Philosophical basis of pedagogics. Buddhism as a philosophical religion of the East. The idea of human nature and sense of life in Catholicism. Selected irreligious systems (Epicureanism, totalitarianism).

Elements of the history of education (education in primitive societies, ancient Rome educational system, modern revolution, rise of the modern science, print, class-lesson system, peculiarity of the Polish education).

Contemporary educational systems world-wide, analysis of selected countries (the United Kingdom, USA, Japan, France, post-communist countries).

Contemporary educational system in Poland. Analysis of the current situation in education. Future projects.

General and detailed objects of pedagogics: cognitive, emotional, psycho-motional.

Methods and forms of teaching.

Didactic theories vs. objects and essence of education (Herbart’s didacticism as basis for traditional school, Dewey’s didacticism for the progressive school).

Psychological factors of the teaching-learning process (remembering, meaning of emotion and will, efficiency of mental work, efficiency of education).

The bases of work in the class-lesson system (structure of the lesson, homework, knowledge testing, after-classes work).

Educational processes and their organisation. The handling of difficult situations. The figure of the form master.

S. Elbanowska, Pedagogika.

Prerequisites:

Pass of class exercises and examination.

Course: N205 Physics IV – Heat and molecular structure of matter

Lecturer: prof. dr hab. Jerzy Ginter

Semester: summer

Lecture hours per week: 4

Class hours per week: 4

Code: 13.204N205

Credits: 10

Motion of “microobjects”. Wilson’s chamber. Motion of charged particles in E and B fields. Mass spectrometer, atomic masses. Ionic traps. Ionic and tunnelling microscope. MBE method.

Chemical bond: metal, covalent, ionic and molecular. Microscopic structure and macroscopic properties of matter.

Diagram of state of a pure substance. PVT surface. Equation of state.

Hydrostatics and aerostatics. Pressure. Low and high pressures. Pressure in the gravitational field. Archimedes’ law. Floating of vessels.

Intermolecular interaction. Atomic forces microscope. Surface tension. Adhesion.

Thermodynamic equilibrium. Basic concepts, the zeroth law of thermodynamics. Empirical temperature. Measurements of temperature.

Statistical equilibrium. Ideal gas. Canonical distribution. Maxwell–Boltzmann’s distribution. Paramagnetism.

Internal energy. Heat capacity of gases, liquid and solids. The first law of thermodynamics. Ideal gas processes. Heat engines and refrigerators.

Entropy. Statistical and thermodynamic entropy. Maximum efficiency of heat engines. Thermodynamic Maxwell’s laws, C_V and C_p.

Phase transitions. Critical point, van der Waals equation. Liquefaction of gases. Other phase transitions. Transition energy.

Transport phenomena. Thermal conduction. Diffusion.

Irreversible processes. Statistical and phenomenological description. The second law of thermodynamics.

J. Ginter, Fizyka IV.

Prerequisites:

Pass of class exercises and examination.

Course: N206 General astronomy

Lecturer: prof. dr hab. Janusz Kałużny

Semester: summer

Lecture hours per week: 2

Class hours per week: 2

Code: 13.702N206

Credits: 5

Sources of astrophysical information: electromagnetic radiation, neutrinos, gravitational radiation, and meteorites.

Astronomical observations: positional astronomy, photometry, polarimetry, astronomical satellites.

Instruments and detectors: optical telescopes, radiotelescopes, intereferometers; IR, UV, X-ray telescopes.

Spherical astronomy: celestial sphere, spherical trigonometry, astronomical systems of spherical co-ordinates. Stellar time, solar time. Calendar. Precession and nutation of the earth axis. Refraction, aberration. Parallax: geocentric and heliocentric.

Solar system. Observed and true motions of the Sun, the Moon and planets. Eclipses. Determination of the Earth-Sun distance and determination of relative distances for other planets. Kepler lows.

Modern exploration of the Solar system: short summary of main results from space probes.

Description of the Solar systems. The Sun - internal structure, surface layers, activity, solar cycle. Planets: internal structure, rotation, magnetic fields, satellites. Small bodies: asteroids, comets, meteors. Interplanetary matter and the stellar wind. Origin of the Solar System.

Celestial mechanics. Two body problem, perturbations. Three body problem.

9. Stellar astronomy. Absolute and apparent stellar magnitudes. Determination of distances to stars. Basic data about structure of the Galaxy, concept of stellar populations. Stellar kinematics. Dynamics of stellar systems. Interstellar matter.

M. Kubiak, Gwiazdy i Materia Międzygwiazdowa.

M. Jaroszyński, Galaktyki i budowa Wszechświata.

P. Artymowicz, Astrofizyka Układów Planetarnych.

J. Mietelski, Astronomia w geografii.

E. Rybka, Astronomia Ogólna.

Prerequisites:

Pass of class exercises and examination.

Course: N207 Physics education

Lecturer: dr Magdalena Staszel

Semester: summer

Lecture hours per week: 2

Class hours per week: 2

Code: 05.104N207

Credits: 5

Methodology of physics and methodology of physics education. Scientific measurement vs. educational measurement.

Physics as a curriculum subject.

The aims of physics teaching; the operational objectives; competences.

Jean Piaget’s genetic epistemology and his description of the growth of logical thinking. Transition from concrete to formal reasoning.

Problems of language in the teaching of physics. Language in advanced modes of thought. Language and home background. The art of asking questions. Mathematics as a language of physics.

Students’ intuitive conceptions – important component of difficulties in physics learning. Origin, the state of research and consequences for teaching.

Assessment and examinations; choosing the right tools for testing of selected objectives. Testing for understanding.

Teaching methods for active learning. Teaching aids.

Problem solving as an educational activity. Open problems. Dimensional analysis.

Models and analogies in science and in science education. Simulation games.

The famous physics courses: case studies (PSSC, HPP, Nuffield Physics, Karlsruhe Physics Course,...)

Curriculum reform and curriculum development. Recent Polish curricula, courses and textbooks.

Comparative studies of teaching selected physical concepts (e.g. energy)

Modern trends to teach science as an integrated subject.

Teaching physics in context (physics of traffic accidents, physics of toys, physics in environmental problems).

B. Arons, A Guide to Introductory Physics Teaching.

R. Driver, E. Guesne, A. Tiberghien, Childrens’ Ideas in Science.

J. Salach, Dydaktyka fizyki: zagadnienia wybrane.

J. L. Lewis, Nauczanie fizyki.

Prerequisites:

Pass of class exercises and examination.

Course: N209 Elements of rhetoric

Lecturer: mgr Czesław Jaroszyński

Semester: summer

Lecture hours per week: 0

Class hours per week: 2

Code: 05.901N209

Credits: 2,5

Historical outline: within the range of the Latin culture. Rhetoric in Poland.

Phonetics – means of communication. Structure of organs of speech and their functioning. Breath, breath practice. Classification of an utterance: phrase, words, syllable, sound, pronunciation exercises.

Communication – means of expression. Means of expression concerning the form of an utterance: tempo, rhythm, strength of voice, height, timbre of voice, pause, diction. Means of expression concerning the contents of an utterance: image, emotion, “intellectual elements”, personality. Rules of accentuation in Polish language. Spoken word and punctuation marks. Theory of a rhetorical period. Stylistic figures. Interpretation. Exercises on literary texts.

Examination of students’ pronunciation and possible corrections of pronunciation errors, which may occur.

Relaxing exercises.

Czesław Jaroszyński, Piotr Jaroszyński – Podstawy retoryki klasycznej

Prerequisites:

Pass.

Course: N210 Philosophy

Lecturer: mgr Przemysław Kędzierski

Semester: summer

Lecture hours per week: 2

Class hours per week: 0

Code: 08.101N210

Credits: 2,5

Ancient philosophy (from VI B.C. to VI A. D.): the period of its origin – Ionic philosophy of nature (Thales of Miletus, Anaximander, Heraclitus, Democritus), Enlightenment and ancient systems (Socrates, Plato, Aristotle), syncretism – Ancient Christianity (Origen, St. Augustine).

Mediaeval philosophy (from VI to XIV century): first period to XII century (St. Anselm), second period – mediaeval systems of XIII century (St. Thomas Aquinas), final period of mediaeval philosophy – the period of Criticism, XIV century (Ockham, Eckhart).

Modern philosophy (from XV century): second period of modern philosophy – systems, XVII century (Cartesian, Spinosa, Leibniz): third period of modern philosophy – Enlightnment and criticism, XVIII century (Kant), fourth period of modern philosophy – new period of systems, XIX century (Hegel, Comte, Marx, Nietzsche), XX century philosophy (Whithead, Heidegger, Sartre).

K. Ajdukiewicz, Zagadnienia i kierunki filozofii.

J. Legowicz, Historia filozofii starożytnej Grecji i Rzymu.

B. Stępień, Wprowadzenie do metafizyki.

W. Tatarkiewicz, Historia filozofii.

Prerequisites:

Examination.

Course: N211 Pedagogical training, 2^nd year

Supervisor: dr Stefania Elbanowska

Semester: winter

Time load: 25 hrs (45 min)

Code: 05.703N211

Credits: 4,5

In the winter semester students of the second year of NKF have training in schools. The object of the training is to understand better and to practice the following issues: school work organisation, class register keeping, lesson preparation, observation of physics classes basing upon different teaching methods, physics laboratory organisation, educational classes handling, carrying out of polling and sociometric measurements

Literature:

Prerequisites:

Examination:

Pass is obtained from the training supervisor after submission of certificate from the school in which trainig was held.

Course: N301 Physics V – Quantum mechanics I

Semester: winter

Lecture hours per week: 4

Class hours per week: 4

Code: 13.205N301

Credits: 10

A. The origins of the quantum mechanics.

Black body radiation: Planck formula

Photoelectric effect: Einstein quantum theory

The Compton effect

De Broglie waves: wave nature of particles.

Models of the hydrogen atom. Atom’s spectra

B. Quantum mechanics.

The Schrödinger equation.

Statistical interpretation of the wave function.

Mathematical framework of quantum mechanics.

Heisenberg’s uncertainity relation.

Applications of the stationary Schrödinger equation.

Hydrogen atom in quantum mechanics

Spin

Identical particles and Pauli exclusion principle

The Helium atom

Multielectron atoms

Optical excitation of the atoms.

Quantum statistics.

R. Eisberg, R. Resnick, Fizyka kwantowa.

Prerequisites:

Pass of class exercises and examination.

Course: N302 Space and motion

Lecturer: prof. dr hab. Andrzej Szymacha

Semester: winter

Lecture hours per week: 3

Class hours per week: 0

Code: 13.203N302

Credits: 3,5

Kinematics: Geometry as the oldest section of physics. Position of a point; vectors. A relative motion of free bodies. Space-time. Velocity and acceleration. Motions in a plane. Principle of democracy (for inertial frames). Transformations.

Principles of dynamics and Gravitation: Conservation law for mass and momentum. Newton equations and forces. Forces of gravity. Energy of a single material point. Energy of the system of bodies. Internal energy.

Mechanics of terrestrial bodies: Types of interactions in nature. Pressure of the gas. Jet propulsion. Resistance of the medium. Friction. The origin of elasticity. Oscillator. Rigidity and ideal constraints. Pendulum. Weight and strings.

Rigid body. Torque and Angular momentum: Energy of rotating body. Torque of concentrated and of continuously spread forces. Relation between torque and angular acceleration. Applications. Angular momentum of extended body and its conservation. Angular momentum of a material point.

Orbits of planets.

A. Szymacha, Przestrzeń i ruch.

Prerequisites:

Examination.

Course: N304 Electronics, lecture and laboratory

Lecturer: mgr Stanisław Chudzyński and dr hab. Tadeusz Stacewicz

Semester: winter

Lecture hours per week: 2

Laboratory hours per week: 3

Code: 06.503N304

Credits: 6,5

Lecture:

Electronics elements, Ohm law, Thevenin and Norton law, equivalent circuits. Voltage divider. Digital integrated schemes TTL (gates), flip-flops, counters, decoders, displays. Other digital schemes. RCL schemes. Diodes and rectifiers, diode as an AM detector, photodiode, Zener diode, simple power supplier. Emission and receiving of radiowaves. Operational amplifier. Transistor and transistor amplifier.

Laboratory:

Power suppliers, measuring equipment (voltmeter, ammeter, oscilloscope). Introduction to measurements with oscilloscope and generator. Introduction to digital integrated schemes TTL (gates). Digital watch applied to simple physical experiments. Realisation of students’ projects. Resonance RCL scheme. Integrating RC circuit. Power supply stabilised by the Zener diode. Light detection. Simple detector receiver. Amplifier of high frequency signals with integrated operational amplifier. Low frequency amplifier with transistor. Radio receiver.

Literature:

Prerequisites:

Pass grade.

Course: N306 Pedagogical training, 3^rd year

Supervisor: dr Stefania Elbanowska

Semester: winter and summer

Time load:

next months – 4 hrs/week

Code: 05.703N306

Credits: 0

Students of the 3^rd year of NKF, who are credited with four semesters of physics and three semesters of mathematics, will do a one-year school training, giving physics lessons in one class only. For each lesson a draft is prepared, which should be revised and accepted by the teacher – direct trainee’s supervisor.

Literature:

Physics I, Physics II, Physics III, Physics IV, Mathematics I, Mathematics II, Mathematics III, Pedagogics.

Pass is obtained from training supervisor after submission of a full set of lesson drafts, a training report and a positive opinion from the teacher – direct student's supervisor.

Course: N307 Physics VI – Quantum mechanics II

Lecturer: prof. dr hab. Jan Bartelski

Semester: summer

Lecture hours per week: 4

Class hours per week: 4

Code: 13.206N307

Credits: 10

Structure of the matter.

The world of elementary particles.

Classification of hadrons, quark model.

Internal structure of hadrons, parton model.

Fundamental interactions.

Unified models of fundamental interactions.

Cosmology, evolution of the Universe, Big Bang model.

Properties of atomic nuclei (mass number, atomic number, binding energy, density, hypernuclei).

Models of a nucleus structure.

Nuclear decays, radioactive series.

Nuclear reactions, energy of a nuclear reaction.

Nuclear fission, nuclear reactors.

Nuclear cycles in the stars, creation of the heavy nuclides, supernovae.

Types of the molecular bindings.

Molecular spectra.

Types of solid bodies.

Types and properties of crystal bindings.

Band theory of the solids, metals and semiconductors.

Electrons in periodic lattice, effective mass.

Electrical conductivity of the metals and semiconductors.

Superconductivity, BCS theory.

Magnetic properties of the solids.

R. Eisberg, R. Resnick , Fizyka kwantowa .

F. Close, Kosmiczna cebula.

V. Acosta, C. L. Cowan, B. J. Graham , Podstawy fizyki współczesnej.

Prerequisites:

Pass of class exercises and examination.

Course: N308 Introduction to chemistry

Lecturer: dr Anna Czerwińska

Semester: summer

Lecture hours per week: 2

Class hours per week: 0

Code: 13.301N308

Credits: 2,5

Structure of atoms, periodic table, chemical bonds.

Properties of elements and their compounds. Types of chemical reactions.

Solutions, solubility, concentrations of solution.

Hydrocarbons: alkanes, alkenes, alkynes and aromatic hydrocarbons.

Hydrocarbons with one functional group: alcohols, aldehydes, carboxylic acids, esters and amines.

Organic compounds in biology: proteins, carbohydrates and lipids.

Literature:

Prerequisites:

Examination.

Course: N309 Chemical laboratory

Lecturer: dr Maria Pachulska

Semester: summer

Lecture hours per week: 0

Class hours per week: 3

Code: 13.302N309

Credits: 4

Syllabus:

Literature:

Prerequisites:

Pass-grade.

Course: N401 Introduction to nuclear and elementary particle physics

Lecturer: prof. dr hab. Marta Kicińska-Habior

Semester: winter

Lecture hours per week: 4

Class hours per week: 4

Code: 13.507N401

Credits: 10

Basic concepts and terminology.

Properties of stable nuclei: Nuclear radius, nuclear potential, distribution of nuclear charge and nuclear matter, shape of nuclei. Mass and nuclear binding energy. Spin and parity. Magnetic and electric moments, principles of NMR. Izospin. Limits of nuclear stability. The liquid-drop model.

Nuclear decay and radioactivity: alpha-decay, beta-decay, neutrino, gamma-decay, electromagnetic transitions. Radioactive decay law, activity. Series of decay. Radioactive decay chains. Production and studies of super-heavy elements. Neutron emission.

Spectroscopy of unstable nuclei. Experimental techniques. Decay schemes. Nuclear lifetimes.

Interaction of radiation with matter: heavy charged particles, electrons, electromagnetic X and gamma radiation, neutrons.

Tools of nuclear physics: detectors, accelerators.

Biological aspects of radiation interaction with organic matter. Exposure, absorbed dose, dose equivalent. Protection.

Application of radioactive isotopes: in medicine, in industry, radioactive dating.

Force between nucleons: Deuteron. Nucleon-nucleon scattering. The exchange-force model.

Nuclear models. Experimental evidence of nuclear shells. Shell model potential. Spin-orbit interaction. Single-particle states in shell model potential. Simple predictions within shell model. Pairing interaction. Collective excitations: nuclear vibrations, nuclear rotations, giant resonances.

Nuclear reactions: Types of reactions. Kinematics. Reaction cross-section. The optical model. Direct reactions. Compound-nucleus reactions. Heavy-ion reactions. Nuclear structure studies by nuclear reactions.

Nuclear fission and nuclear fusion: Basic fission processes. Fission reactor. Basic fusion processes. Solar fusion. Thermonuclear reactor.

Particle physics: Particle interactions and families. Conservation laws. Mesons. Hadrons. Weak interactions and leptons.

Quark model. Coloured quarks and gluons. Reactions and decay in the quark model. Grand unified theories.

A. Strzałkowski, Wstęp do fizyki jądra atomowego.

Z. Wilhelmi, Fizyka reakcji jądrowych.

T. Mayer-Kuckuk, Fizyka jądrowa.

E. Skrzypczak, Z. Szefliński, Wstęp do fizyki jądra atomowego i fizyki cząstek elementarnych.

Physics V and VI (Quantum mechanics).

Pass of class exercises, written and oral examination.

Course: N402 Mathematical methods of physics

Lecturer: dr Jerzy Różański

Semester: winter

Lecture hours per week: 3

Class hours per week: 3

Code: 11.104N402

Credits: 7,5

Calculus of variations. Euler-Lagrange equation, Noether theorem.

Partial differential equations. Quasilinear first-order equations, characteristics. Wave equation, initial and mixed problems. Application of Fourier series. Fourier transform. Heat equation. Laplace and Poisson equations. Well-posed problems. About classification of equations.

Systems of orthogonal polynomials. General properties. Differential equation and Rodrigues formula. Generating function. Recurrention formulas.

Canonical commutation relations as an example of dealing with operators in a Hilbert space.

K. Napiórkowski, Metody matematyczne fizyki.

Prerequisites:

Pass of class exercises and examination.

Course: N405 Introduction to atomic, molecular and solid state physics(Lecture together with BSc students 306L)

Lecturer: prof. dr hab. A. Twardowski

Semester: summer

Lecture hours per week: 3

Class hours per week: 5

Code: 13.207N405

Credits: 10

The course presents the fundamentals of the generally understood physics of the condensed matter. The discussion starts from one-electron systems (hydrogen atom) and ends with meaningfully multi particle systems (crystals). At the beginning the basics of quantum mechanics necessary for the further discussion are briefly presented.

1. Elements of quantum mechanics

(including hydrogen atom)

2. Atomic Physics

– Radiation and interaction of atoms with photons (including lasers)

– Atoms of alkalic metals

– Atom in the external field: electric, crystal field and magnetic field

– Statistics of multi-electron systems

– Multi-electron atoms

3. Multi-atomic systems - molecules

– Chemical bonds

– Elements of the symmetry theory

4. Multi-atomic systems -crystals

– Crystal lattices

– Wave scattering on the crystals

– Lattice vibrations

– Electrons in the infinite crystal lattice

– Semiconductor devices

– Magnetics (including superconductors)

P. T. Matthews, Wstęp do mechaniki kwantowej.

R. Feynman, Wykłady z fizyki. Mechanika kwantowa.

J. Ginter, Wstęp do fizyki atomu, cząsteczki i ciała stałego.

Prerequisites:

Pass of class exercises and examination.

Course: N406 Selected topics of theoretical physics

Lecturer: prof. dr hab. Andrzej Szymacha

Semester: summer

Lecture hours per week: 4

Class hours per week: 4

Code: 13.207N406

Credits: 10

Rudiments of variational calculus: Functionals. Variation of a functional. Euler equations. Integrals of Euler equations.

Newton equations as variational equations: Work of a force along a closed line. Potential. Newton equations as Euler equations. Lagrangian.

Applications of Lagrange method: Change of variables. Lagrangian in polar co-ordinates. Symmetries of the lagragians and physical constants of motion. Motion in a Coulomb field. Problem of two bodies.

Constraints: Role of constraints in the least action principles in the case of pendulum. Generalised co-ordinates, number of degree of freedom. The Lagrange equation of the second type. Generalised momenta.

Symmetries: Symmetries connected with global co-ordinates. Momentum and angular momentum. Relativistic action. Relativistic momentum.

Magnetism and Rotation: Lagrange equations in a magnetic field. Lagrange equations in a non-inertial frame.

Small oscillations: The formulation of the problem. Simultaneous diagonalisation of the T and V matrices. Normal co-ordinates and normal oscillations.

Oscillating systems with large number of degrees of freedom: Coupled oscillators. The border conditions. Transition to the continuum limit.

Elements of classical field theory: Oscillations of continuous media. Number of oscillators in a range of frequency. Field Lagrangian. Field equations. Energy and momentum of the field.

Elements of quantum field theory: Field quanta. Boson properties. Bose-Einstein distribution. Superfluidity. Planck distribution.

Electrodynamics: Vectors and tensors in space-time. Tensor of the electromagnetic field. Transformations of the electromagnetic field. Lagrangian of the electromagnetic field. Maxwell equations.

Canonical formalism: From Lagrange to Hamilton equations. Liouville theorem. Microcanonical and canonical distributions. Variational principle in the phase-space. Principle of Jacobi.

A. Szymacha, Wybrane zagadnienia fizyki teoretycznej.

Prerequisites:

Pass of class exercises and examination.

Course: N501 Elements of numerical modelling

Lecturer: dr hab. Ryszard Kutner

Semester: winter

Lecture hours per week: 2

Class hours per week: 0

Code: 11.002N501

Credits: 2,5

Aim of lectures is to teach students the methods of modelling of different physical phenomena and physical processes. Each discussed method is illustrated by its application to solve characteristic physical problems. The methods are divided for two groups: (1) deterministic methods and (2) stochastic ones.

Deterministic methods: Numerical differentiation. Numerical quadrature. Simplest methods of numerical solution of ordinary differential equations. Simplest methods of numerical solution of partial differential equations at most second order. Numerical solution of eigenvalue problems.

Statistic methods: Simple Monte Carlo Method - integration by "hit and miss". Sample mean Monte Carlo integration. Markov process - detailed balance condition and relaxation to statistical equilibrium. Dynamical Monte Carlo method - importance sampling of Metropolis et al., and importance sampling of Glauber et al. Path probability method.

D.Potter, Computational physics

Å.Björck, G.Dahlquist: Numerical methods

R.Kutner, Elementy mechaniki numerycznej z oprogramowaniem komputerowym.

R.Kutner, Elementy fizyki statystycznej w programach komputerowych. Cz.I.Podstawy probabilistyczne z oprogramowaniem komputerowym

J.Ginter, R.Kutner, Komputerem w kosmos z oprogramowaniem komputerowym

Prerequisites:

Examination.