# Curricula and Syllabi of FNSPE CTU in Prague

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## Aktualizace dat: 15.10.2017

Year 2
course code teacher ws ss ws cr. ss cr.

## Compulsory courses

Mathematics 301MAT34 Dvořáková, Krejčiřík, Tušek 2+2 z,zk 2+2 z,zk 4 4
 Course: Mathematics 3 01MAT3 Mgr. Krejčiřík David DSc. / Ing. Tušek Matěj Ph.D. 2+2 Z,ZK - 4 - Abstract: The subject summarises the most important notions and theorems related to the study of finite-dimensional vector spaces. Outline: 1. Vector spaces; 2. Linear span and independence; 3. Basis and dimension; 4. Linear transformations; 5. Operator equations; 6. Scalar product and orthogonality; 7. Linear functionals and adjoint; 8. Matrices; 9. Determinants; 10. Spectrum; 11. Matrix exponential; 12. Quadratic forms. Outline (exercises): 0. Complex numbers; 1. Examples of vector spaces and subspaces; 2. Linear dependence of vectors - problem with parametres. 3. Selection of basis vectors from a set of generators, completing a basis; 4. Injectivity and kernel of a linear mapping; 5. Examples of scalar products and orthogonalization process; 6. Examples of linear functionals and construction of adjoint mappings; 7. Operations with matrices and construction of the matrix of a linear mapping; 8. Working with determinants, computation of the inverse matrix; 9. Eigenvalues and eigenfunctions of matrices; 10. Construction of matrix exponential; 11. Properties of quadratic forms. Goals: Knowledge: Learning basic concepts of linear algebra necessary for a proper understanding of related subjects, such as analysis of functions of several variables, numerical mathematics, and so on. Skills: Applications of theoretical concepts and theorems in continuing subjects. Requirements: Basic high school mathematics. Key words: Vector space, subspace, linear dependence, basis, dimension, linear transformations, matrices, trace, determinant, orthogonality, spectrum, eigenvalues, eigenvectors, quadratic form, matrix exponential. References Key references: [1] S. Axler: Linear algebra done right, Springer, New York 2014 Recommended references: [2] J. Kopáček, Matematika pro fyziky II, UK, Praha, 1989. [3] Lecture notes on the hompeage of the lecturer.

 Course: Mathematics 4 01MAT4 Ing. Tušek Matěj Ph.D. - 2+2 Z,ZK - 4 Abstract: Linear and non-linear differential equations of the first order. Linear differential equations of higher order with constant coefficients. Multivariable calculus and its applications. Outline: 1. Linear differential equations of the first order 2. Non-linear differential equation of the first order 3. Exact and homogeneous equations. 4. Linear differential equations of higher order 5. Linear differential equation with constant coefficients 6. Quadratic forms 7. Limit and continuity of multivariable functions 8. Multivariable calculus 9. Total differential 10. Implicit function 11. Change of variables 12. Extreme values of multivariable functions 13. Multidimensional Riemann integral 14. Fubini theorem and substitution theorem. Outline (exercises): 1. Linear differential equations of the first order 2. Non-linear differential equation of the first order 3. Linear differential equations of higher order 4. Linear differential equation with constant coefficients 5. Limit and continuity of multivariable functions 6. Implicit function 7. Extreme values of multivariable functions 8. Multidimensional Riemann integral 9. Fubini theorem and substitution theorem. Goals: Knowledge: To learn how to solve some elementary classes of differential equations, especially LDE. To become familiar with multivariable calculus. Abilities: To apply the knowledge above to particular problems in engineering. Requirements: Basis course in single variable calculus and linear algebra (in the extent of the courses at FNSPE, CTU in Prague: 01MAT1, 01MAT2, 01MAT3). Key words: Differential equations, multivariable calculus. References key references: [1] J. Marsden, A. Weinstein: Calculus III, Springer, 1985. recommneded references: [2] W. Rudin: Principles of Mathematical Analysis, McGraw-Hill, 1976.

Nuclear Chemistry 115JACH1 Čuba, John - - 2+1 z,zk - 3
 Course: Nuclear Chemistry 1 15JACH1 prof. Ing. John Jan CSc. - 2+1 Z,ZK - 3 Abstract: Concept and history of nuclear chemistry and radiochemistry, nuclear entities, nuclear reactions, natural and artificial radioactivity. Kinetics of nuclear reactions, laws of radioactive decay. Energetics of nuclear reactions, mass and energy balance of nuclei and energy of alpha, beta decay, gamma deexcitation in nuclear reactions. Outline: 1.Concept and history of nuclear chemistry and radiochemistry and their place among scientific disciplines. 2.Subatomic structure of matter, atomic nucleus, its description, properties and stability. 3.Nuclear reactions, their classification, characteristics and mechanism. 4.Natural and artificial radioactivity, natural decay chains. 5.Kinetics of nuclear reactions: kinetic laws of radioactive decay, parameters characterizing the rate of radioactive decay. 6.Activity and amount of radionuclide. 7.Kinetics of formation of radionuclides. 8.Activity of a system of independent radionuclides. 9.Radionuclides in genetic sequence, radioactive equilibria, kinetics of dual transformations. 10.Energetics of nuclear reactions: nuclear energy, exoenergetic and endoenergetic reactions, nuclear binding energy. 11.Energy of alpha decay, energy of beta decay, gamma deexcitation in nuclear reactions. 12.Decay schemes. Outline (exercises): 1.Description and taxonomy of nuclear reactions. 2.Activity and amount of radionuclide. 3.Kinetics of simple radioactive decay. 4.Kinetics of decay of the system of independent radionuclides. 5.Kinetics of transformations in radioactive chains. 6.Radioactive equilibria. Goals: Aim of the course is to give students basic knowledge of the properties of matter and of chemical and physicochemical phenomena originating from or affected by atomic nucleus and its transformations. Requirements: The course will be inderstood by students who master basic knowledge of physics, chemistry and mathematics at the undergraduate level. Key words: References 1. Key reference: W.D.Loveland, D.J.Morissay, G.T.Seaborg: Modern Nuclear Chemistry, Wiley-Interscience 2006, or G.Choppin, J.O.Liljenzin, J.Rydberg: Radiochemistry and Nuclear Chemistry, Butterworth.Heineman 2002 (http://jol.liljemzin.see/BOOK.HTM) 2. Recommended references: A.Vértes et al. (Eds.), Handbook of Nuclear Chemistry, Kluwer, Dordrecht 2003.

Physical Chemistry 115FCHN1 Múčka, Silber 3+2 z,zk - - 5 -
 Course: Physical Chemistry 1 15FCHN1 prof. Ing. Múčka Viliam DrSc. 3+2 Z,ZK - 5 - Abstract: The introductive part is devoted to the recapitulation of the thermodynamic systems and thermodynamic properties of ideal and real gases. Next chapters are devoted to the first, second and third law of thermodynamics and their applications. Last but not least, attention is devoted also to the thermodynamic, phase and chemical equilibriums as well as to the elementals of nonequilibrium thermodynamics. Outline: 1.Recapitulation of describing of ideal and real gases and the zero law of thermodynamics 2.The first law of thermodynamics and the reaction heats 3.The second law of thermodynamics 4.The third law of thermodynamics 5.Thermodynamic equilibrium 6.One component phase equilibrium 7.Ideal and non ideal solutions 8.Phase diagrams for the two- and three- component systems 9.Reaction equilibrium 10.The equilibrium constant and degree of conversion 11.Degree of conversion 12.Nonequilibrium thermodynamics Outline (exercises): 1.Thermodynamic fundamentals 2.Ideal and real gases 3.First thermodynamic law, calculation of heat capacities and volume work of the systems 4.Calculatio of heats of chemical reactions and heats of phase transitions, termochemistry 5.Second thermodynamic law, dependence of thermodynamic functions on thermodynamic variables 6.Thermodynamic equilibrium 7.Calculation of fugacity and aktivity of real systems. 8.Chemical equilibrium. 9.Determination of the equilibrium constant and its temperature dependence. 10.Reaction isotherm. 11.Calculation of equilibrium constant from thermodynamic data. 12.Effects of equilibrium conditions on the chemical equilibrium. Goals: To acquire the knowledge of principles of phenomenologic thermodynamics (thermodynamic laws, thermodynamic, phase and chemical equilibrium, elementals of nonequilibrium thermodynamics) and the competence of their applications is the goal of study. Requirements: Differential and integral calculus, general chemistry Key words: References Key references: 1. Atkins P., de Paula J.: Physical Chemistry, seventh edition. Oxford University press, Oxford, New York 2002. 2. Levine I. N.: Physical Chemistry, 3th edition, McGraw-Hill Boock Company. Recommended references: 1. Zumdahl, S.: Chemical principles, fifth edition, Houghton Mifflin Company, Boston, NewYork, 2005 2.Chang, R.: Chemistry, ninth edition, McGraw-Hill, New York, 2007 3.Murphy B.,Murphy C., Hathaway B.: Physical Chemistry Calculation, Royal Society of Chemistry, 1997

Theory of Electromagnetic Field and Waves15POLE Vetešník - - 4+1 z,zk - 4
 Course: Theory of Electromagnetic Field and Waves 15POLE Mgr. Vetešník Aleš Ph.D. - 4+1 Z,ZK - 4 Abstract: The course comprises of three parts: the first part contains selected passages of the theory of the electromagnetic field, the second part is dedicated to the wave motion and the optics, and the third part is the introduction to the atomic physics. Outline: 1. Introduction to the vector calculus. 2. Basic concepts and experimental findings of the Maxwell's theory of electromagnetic field. 3. The general form of Maxwell's equations. 4. Maxwell's equations for the electrostatic and the magnetostatic field. 5. Maxwell's equations for the non-stationary electromagnetic field and their solutions for the selected problems. 6. Oscillations. 7. Travelling and standing waves on the string. Fourier analysis and its applications. 8. Wave packet. 9. Polarization and coherence. 10. Interference and diffraction. 11. Geometric optics. 12. The classical theory of black-body radiation. 13. The quantum description of black-body radiation. 14. The corpuscular - wave dualism of electromagnetic radiations and elementary particles. 15. Development of the atomic model. Outline (exercises): 1. Derivation of important equations from the vector analysis. 2. Electromagnetic field theory exercises. 3. Exercises in oscillations and waves. 4. Exercises in atomic physics. 5. Exact analytic treatment of the Schrödinger equation for simple quantum systems. Goals: Learning outcome The basic equations of the Maxwell's theory of electromagnetic field (e.g. the electrostatic field, the field of oscillating electric dipole). The basic knowledge of the field of mechanical and electromagnetic waves in linear, homogenous and isotropic media. The quantum theory of black-body radiation. The basic ideas of quantum physics. Competence The solution, and the physical interpretation of the solution, of the Maxwell's equations for the basic electromagnetic fields. The Fourier analysis of a signal. The description of the superposition of travelling waves. The determination of wavelength from the difraction of light on a grating. The solution, and the physical interpretation of the Schrödinger equation for simple quantum systems. Requirements: electricity and magnetism, differential and integral calculus of one and several variables, ordinary and partial differential equations; Key words: electromagnetic field, Maxwell's equation, wave equation, wave optics, wave mechanics References Key literature: 1. M. Čechová, I., Vyšín: Teorie elektromagnetického pole. UP Olomouc, 1998. 2. J. Kvasnica: Teorie elektromagnetického pole. Academia Praha, 1985. Recommended literature: 5. J. Tolar: Vlnění, optika a atomová fyzika, (http://www.fjfi.cvut.cz/files/k402/files/skripta/voaf/VOAF2008.pdf). 6. E. V. Špolskij: Atomová fyzika, I. Úvod do atomové fyziky. Technicko-vědecké vydavatelství, Praha 1952. 7. R. P. Feynman, R. B. Leighton, M. Sands: Feynmanovy přednášky z fyziky, Fragment, Praha 2002. 8. Z. Horák, F. Krupka: Technická fyzika. SNTL Praha, 1981.

Organic Chemistry 215ORC2 Kozempel, Smrček 2+2 z,zk - - 4 -
 Course: Organic Chemistry 2 15ORC2 doc. Ing. Smrček Stanislav CSc. 2+2 Z,ZK - 4 - Abstract: Introduction to the second group of organic compounds, carboxylic acids and their derivatives, heterocyclic compounds, important natural compounds, industrial organic compounds and pharmaceuticals - industrial and natural. Introduction to the metods of structural analysis. Outline: 1. 1. Carboxylic acids ? nomenclature, structure, properties, methods of preparation. 2. Carboxylic acids ? reactivity. Dicarboxylic acids, methods of preparation, their reactions. 3. Substituted carboxylic acids ? preparation, properties. 4. Halogen-, hydroxy-, oxo- and amino- acids ? nomenclature, structure, preparation, reactivity. 5. Functional derivatives of carboxylic acids ? nomenclature, structure, preparation, reactivity. 6. Esters ? condensation reactions, use in syntheses. 7. Derivatives of carbonic acid, carbamates, nitriles, isonitriles, ketenes, isocyanates, carbodiimides. 8. Heterocyclic compounds ? characterization, properties, preparation, reactivity. 9. Natural compounds ? sacharides, terpenes, steroid hormons - nomenclature, structure, properties. 10. Natural compounds ? lipides, alkaloids, secondary plant metabolites 11. Industrial organic compounds, tenzides, pesticides, pharmaceuticals. 12. Metods of structural analysis of organic compounds, basics of spectral methods. Outline (exercises): 1. Preparation and reactions of carboxylic acids. 2. Halogen-, hydroxy-, oxo-, amino- acids and their derivatives ? nomenclature, propeties, preparation and reactions. 3. Esters ? preparation, reactions and use in organic synthesis. 4. Preparation and reactions of carbonic acid derivatives. 5. Preparation, reactions and properties of heterocyclic compounds. 6. Natural compounds ? nomenclature, structure, occurence, preparation and reactions, use. 7. Industrial organic compounds ? types, use, preparation, specificity of reactions in laboratory and industrial scale. 8. Pharmaceuticals production ? history, current demands, examples of syntheses, research and development of pharmaceuticals. 9. Basics of organic compounds structural analysis, spectral methods, principles of compounds identification. 10. Identification of simple organic compounds based on provided spectral data, NMR, MS, IR methods. Goals: The course of Organic chemistry 2, provides the students with the knowledge of the second group of organic compounds that include carboxylic acids and their derivatives, heterocyclic compounds, important natural compounds, industrial organic compounds and pharmaceuticals, as well as introduction to the metods of structural analysis of organic compounds. The lecture extends the Organic chemistry 1 course. The students will acquire competence to apprehend the advanced specialised organic chemistry courses. Requirements: Combined witten and oral exam. Minimal score to pass the written test is 60%. Two pre-exam tests are compulsory during semester with minimal score of 60%. Exact dates would be annonced at the beginning of the course. Key words: References Compulsory literature: Smrček S., Kozempel J.: Electronic presentation Organic chemistry course, available on FNSPE website. Other recommended literature: McMurry J.: Organic chemistry, Brooks/Cole Cengage Learning, ISBN 9780534389994. Lewis D.E. Organic Chemistry ? a Modern Perspective, Times Mirror Education Group, Inc. Dubunque 1996, ISBN0697350916.

Analytical Chemistry 215ANAL2 Opekar 3+2 z,zk - - 6 -
 Course: Analytical Chemistry 2 15ANAL2 prof. RNDr. Opekar František CSc. 3+2 Z,ZK - 6 - Abstract: Analytical chemistry II is the continuation of lecture Analytical chemistry I. This course is oriented to the instrumental methods of analysis and processing of analytical results. Outline: 1. Absolute and comparative analytical methods. Calibration methods (calibration curve method, standard addition method). 2. Basic statistical evaluation of data (accuracy and precision, mean, standard deviation, confidence interval, valid numbers). 3. Electroanalytical methods based on measurement of potential. Equilibrium potentiometry (electrochemical cell, electrodes). Direct potentiometry (measurement of pH, determination of other ions using ISE, selectivity coefficient, gas sensors based on ISE). Indirect potentiometry, potentiometric titrations. 4. Electroanalytical methods based on measurement of current I. Voltammetry and polarography (polarization curve, scheme of electrochemical cell, electrodes, dc, ac and pulse voltammetry. Voltammetric stripping analysys. Amperometry (amperometric detectors). 5. Electroanalytical methods based on measurement of current II. Electrogravimetry and coulometry (potentiostatic and galvanostatic methods, coulometric titrations, colometric analyzers). Conductometry (conductometric analyzers and detectors). 6. Optical methods (the nature of absorption and emission of radiation by atoms and molecules). Atomic and molecular absorption and emission/fluorescence spectra, their utilization in analytical chemistry. Molecular absorption spectrometry in uv/vis range of radiation. Atomic absorption spectrometry. 7. Automatic chemical analysers (FIA, CFA). Nonspectral optical methods (refractometry, polarimetry, nephelometry). 8. Chromatographic methods (fundamentals, classification of chromatographic methods). Planar chromatography. Column chromatography (general aspects, parameters obtained from chromatogram, separation efficiency, resolution, optimization of separation process). Application of chromatographic methods in quantitative and qualitative analysis (hyphenated methods, GC-MS, LC-MS). 9. Gas chromatography (columns, detectors). Liquid chromatography (selection of mobile phase, classification of LC based on difference in stationary phase - partition, affinity, size-exclusion, ion-exchange chromatography). 10. Electromigration methods. Separation in electric field (zone and capillary electrophoresis). Example of separation - aminoacids and peptides. Outline (exercises): 1. Acid-base equilibria and pH calculations. Acid-base titrations and stochiometry. 2. Redox equilibria, titrations and stochiometry. 3. Basic principles and calculations in separation methods. 4. Statistics of experimental analytical results. Goals: The course of analytical chemistry provides the students with the knowledge of the basic methods of analytical chemistry and schemes of analytical procedures. The students will acquire competence to select independenty optimum analytical approach to the given problem. Requirements: Knowledge of general chemistry on the level of a completed basic university course. Completed course "Analytical Chemistry I". Key words: References Key literature: 1. D.A.Skoog, D.M.West and F.J.Holler, Fundamentals of Analytical Chemistry, 6. Edition, Saunders College Publishing, 1992; Recommended literature: 1. Kellner R., Mermet J.M., Otto M., Widmer H.M. (Editors): Analytical Chemistry, Willey-VCH, Weinheim 1998 (ISBN 3-527-28610-1).

Measurement and Data Handling15MZD Vetešník, Vopálka 2+1 z,zk - - 3 -
 Course: Measurement and Data Handling 15MZD doc. Mgr. Vopálka Dušan CSc. 2+1 Z,ZK - 3 - Abstract: Characteristics of statistical distribution functions (one-dimensional data), hypotesis testing, analysis of variance (ANOVA), correlation analysis, regression, statistical analysis of multidimensional data; chemometrics; testing of analytical methods; numerical methods and computers in data processing Outline: 1. Basic terms of probability theory and statistics 2. Metrology and qualimetrics 3. Verification and validation of analytical methods 4. Testing of analytical methods and approaches 5. Regression and correlation analyses 6. Analysis of variance (ANOVA) 7. Principles of multivariate analysis 8. Methods of cluster and factor analyses 9. Basic numerical methods in data processing 10. Statistical analysis by Excel 11. Introduction to the use of MATLAB by data handling 12. Perspective on the development of chemometrics Outline (exercises): 1. Characteristics of random variables. 2. Central limit theorem. 3. Significance tests. 4. Quality of analytical measurements. 5. Regression and correlation. 6. Non-parametric and robust methods. Goals: Principles of evaluation of experimental results on the basis of theory of probability and statistical assessment of data. Requirements: Basic algebra and calculus. Key words: chemometrics, statistical methods of data processing, experiment planning, testing of analytical methods References Key references: 1. J.N.Miller, J.C. Miller: Statistics and Chemometrics for Analytical Chemistry (5th Ed.),Lavoisier 2005 Recommended references: 1. G. McPherson: Statistics in Scientific Investigation, Springer-Verlag, New York Berlin Heidelberg 1990

Fundamentals of Biochemistry15ZBCH Stiborová, Šulc - - 4+1 z,zk - 4
 Course: Fundamentals of Biochemistry 15ZBCH doc. RNDr. Stiborová Marie CSc. - 4+1 Z,ZK - 4 Abstract: Whole area of general biochemistry is covered by the lecture. Structures of metabolites are discussed together with basic metabolic processes in which they participate. Lectures - in Czech - Exercises: Practical course in biochemistry is provided by Helena Ryšlavá, Helena Ryšlavá, Veronika Doubnerová, Helena Dračínská, Petr Man, Petr Novák, Petr Pompach, Jiří Liberda The students are dealing with basic biochemical methods. There are methods used for protein and nucleic acid isolation and their characterization (extraction, centrifugation, precipitation, dialysis). Ion exchange chromatography and gel filtration are used for protein purification from a complex mixture. The students have to determine the relative molecular mass of a protein by SDS polyacrylamide electrophoresis comparing the mobility of it with those of proteins with Outline: Protein structure and function. Exploring proteins. DNA and RNA. Flow of genetic information. Exploring genes: analyzing, constructing and cloning DNA. Oxygen-transporting proteins. Enzymes. Mechanism of enzyme action. Control of enzymic activity. Connective-tissue proteins. Biological membranes. Metabolism: basic concepts. Carbohydrates. Glycolysis. Citric acid cycle. Oxydative phosphorylation. Pentose phosphate pathway and gluconeogenesis. Glycogene metabolism. Fatty acid metabolism. Amino acid degradation and the urea cycle. Photosynthesis. Biosynthesis of membrane lipids and steroid hormones. Biosynthesis of amino acids and heme. Biosynthesis of nucleotides. Integration of metabolism. DNA structure, replication and repair. Gene rearrangements. RNA synthesis and splicing. Protein synthesis. Protein targeting. Control of gene expression. Viruses and oncogenes. Molecular immunology. Muscle contraction and cell motility. Membrane transport. Hormone action. Excitable membranes and sensory systems. Outline (exercises): Isolation of a protein Gel chromatography Ion exchange chromatography SDS - polyacrylamide electrophoresis Practical enzymology - kinetic characteristics, apparent Michaelis constants, pH optimum, specific activities, detection of the enzyme activity in gels Goals: The course provides the students with the knowledge of the structure and function of biochemically significant compounds and biochemistry of physiological processes. The students will acquire competence to o apprehend the advanced courses from the specialised fields of chemistry and life sciences. Requirements: Knowledge of chemistry on the level of completed bachelor courses of general, inorganic, and organic chemistry. Key words: structure, genetic information, metabolic process, regulation mechanisms, physiological processes References Key references: Lubert Stryer: Biochemistry, New York: W.H.Freeman, 1996

Organic Chemistry Practical15POCH Lorenc 0+4 z - - 5 -
 Course: Organic Chemistry Practical 15POCH Ing. Lorenc Miroslav 0+4 Z - 5 - Abstract: Practical courses should allow students to become familiar with some basic organic chemistry laboratory techniques and methods of organic chemistry. Synthetic problems are chosen so that student gets acquainted with basic chemical operations, properties of selected organic compounds, and acquire basic skills to synthesize a range of organic compounds. The course complements the theoretical knowledge of organic chemistry. Outline: Outline (exercises): 1. General safety regulations and first aid in the chemical laboratory. 2. Apparatus and basic operations: Assembly of apparatus, stirring, heating, cooling, operations under diminished pressure. 3. Isolation and purification processes: Filtration, solvent extraction, drying of solid compounds, drying of liquids, crystallization. 4. Distillation: Simple distillation, steam destillation, distillation under diminished pressure. 5. Thin layer chromatography. 6. Reporting the results of experimental study. 7. All mentioned laboratory techniques are trained on the syntheses of following compounds: cyclohexene, n-butylbromide, 2-methyl-2-hexanol, acetanilide, 4-nitroacetanilide, 4-nitroaniline, Orange II, caffeine, 1, 2, 3, 4-penta-O-acetyl-b-D-glucopyranose. Goals: The laboratory practice in inorganic chemistry provides the students with the knowledge of some basic organic chemistry laboratory techniques and methods of organic chemistry. The students will acquire competence to perform independenty works in organic chemistry. Requirements: Completerd course Organic Chemistry 1, enrolled for the course Organic Chemistry 2. Key words: Organic synthesis, apparatus setting up, purification, isolation, distillation, chromatography. References Key literature: 1.T. Trnka and coll. Organic Chemistry Practical, SPN Praha

Laboratory Practice in Analytical Chemistry15ALPN Hraníček 0+4 z - - 5 -
 Course: Laboratory Practice in Analytical Chemistry 15ALPN RNDr. Hraníček Jakub Ph.D. 0+4 Z - 5 - Abstract: First part of laboratory exercises is oriented to qualitative analysis of cations and anions using wet chemistry procedures. Quantitative determination of analyte based upon various titration procedures follows. In the last part of exercises students become acquainted with basic instrumental methods of chemical analysis. Outline: Outline (exercises): 1. Qualitative analysis of inorganic cations and anions using wet chemistry: identification of two cations in mixture, identification of two anions in mixture. 2. Qualitative analysis of inorganic solid substance using wet chemistry: identification of cation and anion in a well-soluble and a bad-soluble solid sample. 3. Acid-base titrations: identification of analyte (sodium or potassium hydroxide or hydrochloric, sulfuric or nitric acid) in the sample, preparation of standard solution of hydrochloric acid or sodium hydroxide, acidimetry or alkalimetry of analyte in the sample. 4. Precipitation titrations: argentometry of sodium chloride in a liquid sample with Fajans' indication, titration of potassium iodide and chloride in a solid sample using potentiometric indication, titration curve construction and evaluation. 5. Chelatometry: identification of analytes in the sample, determination of magnesium and calcium ions in water as sample, titration of magnesium and zinc ions or lead and bismuth ions in mixture. 6. Iodometry: titration of ascorbic acid in Celaskon pellet, iodometry of acetone in liquid sample based on indirect titration. 7. Permanganometry: preparation of standard solution of potassium permanganate using oxalic acid as the standard, titration of iron in a solid sample using potentiometric indication, titration curve construction and evaluation. 8. Coulometry: determination of hydroquinone in a liquid sample with coulometric titration, calculation of analyte concentration from the electrical charge. 9. Potentiometry with ion selective electrode: determination of nitrate or fluoride ions using ion selective electrode, calibration curve construction. 10. Gas chromatography: separation of oxygen and nitrogen from air sample, evaluation of chromatogram and calculation of fundamental chromatographic quantities. 11. Spectrophotometry: spectrophotometric determination of acetylsalicylic acid in Acylpyrin pellet, calibration curve construction. 12. Solid phase extraction: preconcentration of iron ions from spring water using solid phase extraction, spectrophotometric determination of preconcentrated analyte, calibration curve construction. 13. Test in theory and practical exam with real sample. Goals: The laboratory practice in analytical chemistry provides the students with the knowledge, skills, proficiency and thoroughness in elementary and instrumental analytical techniques. The students will acquire competence to perform practical laboratory analytical work, including data processing, and evaluation and presentation of the results. Requirements: Knowledge of analytical chemistry on the level of a completed basic university course. Key words: References Key literature: 1. http://www.natur.cuni.cz/analchem/praktika.html Recommended literature: 1. G.D. Christian: Analytical Chemistry (5th edition), John Wiley & Sons, New York, 1994 (ISBN 0-471-30582-0). 2. R. Kellner, J.M. Mermet, M. Otto, H.M. Widmer (editors): Analytical Chemistry, Willey-VCH, Weinheim, 1998 (ISBN 3-527-28610-1).

Experimental Laboratory02PRAK Škoda - - 0+4 kz - 4
 Course: Experimental Laboratory 02PRAK Ing. Škoda Libor - 0+4 KZ - 4 Abstract: Lecture is intended primarily for students who study branch Nuclear Chemistry engineering, or practically oriented bachelor's specializations of branch Nuclear engineering. But it can be also visited by students interested in the other specializations. During Experimental laboratory, students learn how to prepare for experiments (including work with the literature), the implementation of the measurement (acquire of different experimental procedures and routines), will teach writing the records of measurement, processing and evaluation of results. At the same time practically extend the knowledge gained in lectures on physics. Outline: Outline (exercises): 1.Gas thermometer, latent heat of water vaporization. 2.Volume measurements, determination of the Poisson constant. 3.Harmonic oscillation. RLC circuits. 4.Line spectra of Hg and Na spectral lamps using prism spectrometer. 5.Geometrical optics. Photometry. 6.Spectrum of gamma radiation. 7.Heat engine and heat efficiency. 8.Interference and diffraction of light. 9.Air bench - The Law of Conservation of Energy, crashes. 10.Specific electron charge, energy loss of alpha particles in gases. Goals: Knowledge: Advanced experimental and analytic methods and experimental procedures Abilities: Application of the mentioned methods on specific physical experiments, processing and evaluation of results Requirements: Knowledge of basic course of physics Key words: Experiments on mechanics, wave physics, electrics, magnetism, wave physics, thermodynamics and nuclear physics References Key references: [1] Kolektiv KF: Physics I - Laporatory excersisies, ČVUT Praha 1998 (in Czech) Recommended references: [2] J.D.Wilson, C.A.Hernandez: Physics Laboratory Experiments, Brooks Cole Boston 2004 Media and tools: laboratory of the department of physics

Výuka jazyků04.. KJ - - - - - -
Introduction to Law00UPRA Čech - - 0+2 z - 1
 Course: Introduction to Law 00UPRA Mgr. Čech Martin - - - - Abstract: Outline: Outline (exercises): Goals: Requirements: Key words: References

Introduction to Psychology00UPSY Lidická - - 0+2 z - 1
 Course: Introduction to Psychology 00UPSY PhDr. Oudová Drahomíra Ph.D. - - - - Abstract: Outline: Outline (exercises): Goals: Requirements: Key words: References

Rhetoric00RET Kovářová - - 0+2 z - 1
 Course: Rhetoric 00RET Mgr. Kovářová Jana - - - - Abstract: The course is focused on the acquisition of speech and voice techniques and on the rules of correct pronounciation. The course is also devoted to the composition of public speech as well as to its nonverbal aspects. Stylistics exercises, strategies for coping with stage-fright and a short excursion into the history of rhetoric are an integral part of the course. Outline: 1. Introduction - rhetoric - purpose, history, outline of areas linked to rhetoric; - oral speech - purpose, listeners, environment; preparation for public speech 2. Language - "correct" form of written and spoken language; fillers; vocal and speech technique - intonation, volume, speed 3. Correct pronounciation; usage of foreign words, exercising of vocal organs 4. Composition of a speech - main points, introduction, conclusion; style a stylistics 5. Rhetorical techniques, tricks and tips; formulation; argumentation 6. Coping with stage-fright, relaxation and breathing; asertivity; empathy 7. Body language (facial expressions, gesticulation, posturology, proxemics), aesthetics of public appearance (politeness, etiquette, clothing etc.) 8. Analysis of real speeches; examples; rehearsing 9. Presentation tools and their usage, advantages and disadvantages; rules for PowerPoint presentation 10. Students´ presentations + analysis, feedback 11. Students´ presentations + analysis, feedback Outline (exercises): Goals: Knowledge: Familiarizing with the rules of contentual and formal preparation for a public speech. Skills: Acquisition of practical skills in this area and getting a feedback. Requirements: Key words: Rhetoric; body language; speaker metods References Key references: [1] ŠPAČKOVÁ, A.: Moderní rétorika. Praha: Grada Publishing 2009. Recommended references: [1] MAŘÍKOVÁ, M.: Rétorika. Manuál komunikačních dovedností. Praha: Professional Publishing 2000. [2] ŠMAJSOVÁ BUCHTOVÁ, B.: Rétorika. Vážnost mluveného slova. Praha: Grada Publishing 2010. [3] HIERHOLD, E.: Rétorika a prezentace. Praha: Grada Publishing 2005. [4] HOLASOVÁ, T.: Rétorika pro techniky. Praha: ČVUT 2004. [5] ŠESTÁK, Z.: Jak psát a přednášet o vědě. Praha: Academia 2000. [6] PLAMÍNEK, J.: Komunikace a prezentace. Praha: Grada Publishing 2008. [7] PLAMÍNEK J.: Řešení problémů a umění rozhodovat. Praha: Argo 1994. [8] HONZÁKOVÁ, M. - HONZÁK, F. - ROMPORTL, M.: Čteme je správně. Slovníček výslovnosti cizích jmen. Praha: Albatros 1996. [9] HŮRKOVÁ, J.: Česká výslovnostní norma. Praha: Scientia 1995. [10] CAPPONI, V. - NOVÁK, T.: Sám sobě mluvčím. Praha: Grada 1994. [11] TEGZE, O.: Neverbální komunikace. Praha: Computer Press 2003.

Economy in Technology00EKOT Fučíková - - 0+2 z - 1
 Course: Economy in Technology 00EKOT - - - - Abstract: The course introduces the basics of micro- and macroeconomics. Outline: 1. Introduction to economics. 2. Market, market mechanism and its elements. 3. Theory of consumer. 4. Production and cost functions in short and long terms. 5. Income, profit. 6. Firms in perfect competition. 7. Firms in imperfect competition. 8. Factors of production and respective markets. 9. Market failures and microeconomic policies. 10. Macroeconomic agregates. Total expenditure and product. 11. Money and money market. 12. Economic growth and economic cycle. 13. Unemployment. 14. Inflation. 15. Open economy, exchange rates, outer economic balance. 16. Monetary policy. 16. Government budget, fiscal policy. 17. International trade policy. Outline (exercises): Goals: Students should understand the market mechanism and market subjects' behavior in both, model and real situation, understand basic phenomena in economy, and ways that government can use to influence the economy. Requirements: Key words: microeconomics, macroeconomics, consumer, firm, perfect and imperfect competition, factors of production, product, money, economic growth, unemployment, inflation, exchange rate, external economic balance, economic policy References [1] Holman, R: Základy ekonomie - pro studenty vyšších odborných škol a neekonomických fakult VŠ, C.H. Beck, třetí vydání, 2015. [2] Liška, V., Sedláček, M.: Ekonomie pro techniky, Professional publishing, třetí vydání, 2010.

## Optional courses

History of Alchemy and Chemistry15DALCH Karpenko 2+0 zk - - 2 -
 Course: History of Alchemy and Chemistry 15DALCH prof., RNDr. Karpenko Vladimír CSc. 2+0 ZK - 2 - Abstract: This course provides the overview of crafts with chemical and/or metallurgical basis. Development of alchemy from ancient times in China, India, and Hellenistic world is discussed. The last part of course is dedicated to Alchemy in Arabic world and various aspects of alchemy in Latin Europe. The influence of alchemical approaches development onto crafts advancement is illustrated. Outline: 1. Interpretation of historical sources. Some ancient crafts: salt production; paints on pottery; cinnabar, indigo, Tyrian purple, Egyptian blue; cosmetics. Wine and beer. Discovery of paper. Embalming in Egypt, history of the term neter. Sumerian terminology. 2. Myth as the oldest picture of nature, goddess Mother-Earth. Planetary gods. 3. Precious metals and analysis of their purity. Iron and steel metallurgy. Further ancient metals. 4. Ancient China. Taoism and Confucianism. Five elements, yin and yang. Magic square Lo shu, eight trigrams. Book I Ching. Overview of the history of Chinese alchemy. Ko Hung's encyclopedia. Protochemistry. Late Chinese esotericism. Discovery of black gunpowder. 5. Ancient and mediaeval India. Vedas, Upanishads. Problem of dating Indian sources. Basic ideas of Indian alchemy, attempt of classification of substances. Tantrism. Mercury as a crucial metal. Practice of Indian alchemy, recipes. 6. Hellenistic world. Greek natural philosophy, Aristotle, four elements. Ancient Egyptian crafts, papyri Leyden X and Stockholm. Pseudodemokritos. Gnosis and alchemy, ouroboros symbolism. Some Hellenistic alchemists: Mary the Jewess, Zosimos from Panopolis. Laboratory instruments. Classification of substances. Color symbolism. Planets and metals. 7. Arabic alchemy. An-Nadim's catalogue. Jabir and his school, sulfur-mercury theory. Numerical mysticism in Arabic alchemy and philosophy. Ar-Razi's system of substances. Emerald Table. Ibn Sina. Tracts of Brethren of Purity, origin of metals. Late Arabic authors. 8. Europe. Mediaeval crafts: Theophilus, Mappae clavicula. History of the discovery of alcohol. Origin of alchemy in Latin Europe, translators, compilers. Albertus Magnus. Peak of alchemy: Arnald from Villanova, Ramon Lull and Pseudolully. Pseudogeber, discoveries of mineral acids. Alchemy and church. Papal decree against alchemists. 9. European renaissance. General features, development of astronomy and medicine, M. Copernicus, A. Vesalius. Mining and metallurgy: G. Agricola, L. Ercker, V. Biringuccio. Flourish of alchemy in renaissance. Paracelsus, theory tria prima, iatrochemistry; homunculus, Jewish kabbalah. Mysticism: Agrippa from Nettesheim, numerical magic squares. 10. Alchemy in Bohemia. Johannes Ticinensis, Johann from Laz, Hynek from Poděbrad. Rudolfian era, Bavor the Younger Rodovský, E. Kelley, J. Dee and their works. M. Sendivogius, problem of discovery of oxygen. Mysticians of the 17th century: M. Maier, D. Stolcius; symbolism of renaissance alchemy. 11. R. Boyle and I. Newton as alchemists. Discovery of phosphorus. J. Becher and the roots of phlogiston theory. Summary of European alchemy. Chemical and/or metallurgical methods of alleged transmutation of metals. Reflection of chemical reactions in the systems of metals. History of the reaction between iron and cupric ions in solution and its influence on alchemy. 12. Transition between alchemy and chemistry. Pneumatic chemistry, van Helmont, A.-L. Lavoisier, life and work. Summary of the development of terminolgy and symbolism of alchemy and chemistry. First discoveries of elements. Outline (exercises): Goals: The course provides knowledge on development of alchemy and its transformation to exact natural science - chemistry. Students gain competence to understand contemporary trends of chemistry development better. Requirements: Knowledge of chemistry on the level of graduate from a secondary grammar school. Key words: History, crafts, alchemy, ancient, medieval, China, India, Europe, transformation. References Key literature: 1. Salzberg, H. W.: From Caveman to Chemist, Amer. Chem. Soc., Washington, D.C. 1991. Recommended literature: 1. Sherwood Taylor, F.: The Alchemists, Paladin Press, Frogmore 1976. 2. Holmyard, E. J.: Alchemy, Penguin Books, Harmondsworth 1957, 1968. 3. Read, J.: Prelude to Chemistry, G. Bell, London 1961. 4. Leicester, H. M.: The Historical Background of Chemistry, J. Wiley, New York 1956.

Introduction to Elementary Particle Physics02UFEC Bielčík 2+0 z - - 2 -
 Course: Introduction to Elementary Particle Physics 02UFEC Mgr. Bielčík Jaroslav Ph.D. 2+0 Z - 2 - Abstract: The course provides an easily accessible introduction to elementary particle physics. Development, methods, goals and perspectives of the subject are presented. Outline: 1. Basic notation in the field, elementary particles and properties, literature 2. Natural system of units, history of the field 3. Main kinematic definitions and relations 4. Cross section and it's calculation in classical physics 5. Sketch of the quantum theory structure, matrix elements and cross sections in quantum theory 6. Relativistic calibration quantum field theory, Feynmann diagrams, renormalization, calibration symmetry, Higgs mechanism 7. Standard model - quantum electrodynamics, Glashow-Weinberg-Salam theory of electroweak interactions, quantum chromodynamics 8. Quark model, hadron description using multiplets of SU(N) 9. Deep inelastic scattering of leptons on nucleons, parton model 10. Theory of elementary particles beyond standard model - Grand unification theory,super-symmetric theory, string theory 11. Passing of radiation through matter, experimental methods in elementary particle physics 12. Main types of detectors 13. ATLAS experiment - research program, description of the detector, structure of incoming data, analysis, obtained results Outline (exercises): Goals: Knowledge: Insight into the elementary particle physics Skills: Orientation in the problematics of the elementary particle physics Requirements: Knowledge of basic course of physics Key words: Quantum mechanics, symmetries, elementary particles, quarks, leptons, Standard Model References Key references: [1] K. Nakamura et al.(Particle Data group), The Review of Particle Physics, J. Phys. G 37, 075021 (2010) Recommended references: [2] Martinus Veltman, Facts and Mysteries in Elementary Particle Physics,World Scientific 2003 [3] Martinus Veltman, Diagrammatica : The Path to Feynman Diagrams Press Syndicate of the University of Cambridge 1994 Transfered to digital printing 2001 [4] Walter Greiner, Berndt Mueller, Quantum Mechanics - Symmetries Springer-Verlag 2001

Basics of Programming18ZPRO Jarý, Virius 2+2 z - - 4 -
 Course: Basics of Programming 18ZPRO doc. Ing. Virius Miroslav CSc. 2+2 Z - 4 - Abstract: This lecture is intended mainly for students, with little or no experience in programming. It familiarizes the students with the basic concepts in programming and with the C++programming language. Outline: 1.The computer, the program, the algorithm 2. Data mapping in computer memory, data type 3. Program structure 4. variables and non-object data types 5. Statements 6. Functions 7. Pointers, linked lists 8. Modular structure of the program, object types Outline (exercises): 1. The first program 2. Algorithm 3. Using built-in data types 4. More complex programs 5. Non-object data types 6. Statements 7. Input/output 8. Functions 9.Pointers: Non-object implementation of the single linked list 10.Object types in C++ Goals: Knowledge: The C++ programming language Ability: Solving basic programming tasks using the C++ programming language Requirements: Common computer user's knowledge only; no other prerequisities. Key words: C++;data type;statement;declation;array;record;set;compilation;debugging;object; References Key references: [1] Virius, M. Basic C++ Porgramming. Praha: ČVUT 2014. ISBN 978-80-01-05470-3. (in Czech) Recommended references: [2] Stroustrup, B.: The C++ programming language. 4th ed. Addison-Wesley 2013. ISBN 978-0-321-56384-2.

Basic Work with PC16ZPSP Vrba T. 0+2 z - - 2 -
 Course: Basic Work with PC 16ZPSP doc. Ing. Vrba Tomáš Ph.D. - - - - Abstract: The aim of the subject is to teach basic skills associated with a personal computer. The introductory part of the course is devoted to information systems and resources available to the CTU and PNSPE students. Another part summarizes basic information about computer hardware, software and security. Most of the course is devoted to exercises whose aim is to teach students to use office software (word processor, spreadsheet, presentation software) at a level that is required in other courses of study (practice, undergraduate thesis, research and thesis). Outline: Outline (exercises): 1. Introduction to Computer Science and Information Technology at CTU, the legal standards 2. Hardware (general principles, knowledge for the selection of PCs) 3. Software (sorting, summary, licenses) and basic functions of OS 4. IT security (viruses, firewalls, spyware, phishing, certificates, encryption ...) 5. Word Processing I - The philosophy and basic functions 6. Word Processing II. - Formatting templates 7. Word Processing III. - Advanced features, major projects (basic rules for DTP) 8. Spreadsheet I - The philosophy and basic functions 9. Spreadsheet II. - Formulas, built-in functions, formatting 10. Spreadsheet III. - Accessories, solver, macros 11. Presentation tools - an overview of key features (principles of formatting) 12. Credit test Goals: Knowledge: Information technologies available to the studens on CTU Basic knowledge of WH and SW. Computer security. Skills: Working with office software (Word, Excel, PowerPoint). Search in electronic sources and work with a bibliography. Requirements: There are no prerequisities. Key words: IT, PC, text processor, table calculator References Key references [1] Materials on the server https://behounek.fjfi.cvut.cz Recommended references [2] Marie Franců: Jak zvládnout testy ECDL, COMPUTER PRESS, ISBN 978-80-251-2653-0

Physical Training 100TV12 ČVUT - z - z 1 1
 Course: Physical Training 1 00TV1 - - - - Abstract: Outline: Outline (exercises): Goals: Requirements: Key words: References

 Course: Physical Training 2 00TV2 - - - - Abstract: Outline: Outline (exercises): Goals: Requirements: Key words: References