Soubory produktu
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): General part of seminars series will provide students with brief principles and methodological fundamentals of bioindications (and
of biomonitoring) - integral part of the evaluation of all types of environments. Special part will focus on examples of both the
classical bioindication methods working with traditionally used parameters such as diversity of communities, saprobic valence and
bioindicative weight of species and methods based on the use of knowledge of ecology (bionomics) of selected groups of fauna
and flora.
Rozsah výuky: Seminář 2 [Hours/Week]
Vyučovací jazyk: Angličtina
Požadavky na studenta:
The course will be successfully finished if all the following conditions are met:
- to pass written exam (minimal success in the test - 60 %)
- active participation in seminars (compulsory attendance)
Obsah:
1. General aspects: Definitions, strategies, principles, statistical analysis and statistical techniques for bioindication/biomonitoring
of the environment. Biomonitoring as a science.
2. Biomarkers and ecotoxicity testing.
3. Bryophytes as ecological bioindicators.
4. The use of higher plants as bioindicators, the impact of agricultural land use on biodiversity.
5. Invertebrates in use: forensic entomology, the use of insects/arthropods in criminal investigation.
6. Bioindicators for ecosystem management, with special reference to freshwater systems, odonates as bioindicators.
7. Monitoring water quality using invertebrate organisms as bioindicators, saprobiological methods.
8. Vertebrates: biomonitoring with amphibians, mammals as biomonitors.
Literatura:
• Basic: Markert B. A. - Breure A. M. - Zechmeister H. G. (eds). Bioindicators and biomonitors: principles,
concepts and applications. Elsevier Science Ltd, Oxford, 2003.
• Basic: J?rgensen S. E. - Xu F.-L. - Costanza R. (eds). Handbook of Ecological Indicators for Assessment of
Ecosystem Health, Second Edition. CRC Press/Taylor and Francis Group, Boca Raton, 2010.
• Basic: Larcher W. Physiological Plant Ecology. Ecophysiology and Stress Physiology of Functional Groups.
Berlin-Heidelberg-New York, 2003. ISBN 3-540-43516-6.
• Basic: SINCLAIR A.R.E., FRYXELL J., CAUGHLEY G. Wildlife Ecology, Conservation And
Management.. Blackwell Publishing Professional, 2006.
• Extending: ROSENBERG, D. M. & RESH, V. H. Freshwater biomonitoring and benthic makroinvertebrates.
London, 1993.
• Recommended: Byrd J.H., Castner J.L. Forensic Entomology: The Utility of Arthropods in Legal Investigations..
CRC, 2000.
• Recommended: Closs G. - Downes B. - Boulton A. Freshwater ecology: a scientific introduction. Oxford: Blackwell
Publishing, 2004.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): The main aim of this lecture course is to present the basic concepts, principles and functional significance of signaling pathways in
the eukaryotic cell in a comprehensible and modern way. The content of the course is based primarily on "Cell Signaling" lecture
book from John T. Hancock. Successful completion of the course will provide students with deeper undestanding of the
fundamental molecular mechanisms in regulation of essential cell processes.
Rozsah výuky: Lecture 2 [Hours/Week]
Vyučovací jazyk: Angličtina
Požadavky na studenta:
The course will be successfully finished if all the following conditions are met:
- passing a written test gaining at least 60% of the total score
Obsah:
1. Basic principles of cell signaling
2. Cell communication
3. Postranslational modifications in signaling
4. Cyclic nucleotides, ATPases, GTPases and trimeric G-proteins
5. Inositol phosphate, membrane lipids and calcium in the cell
6. Tyrosin kinase receptors and growth factors signaling cascades
7. Regulation of gene expression and DNA repair mechanisms
8. Cell cycle regulation
9. Integrins - adhesion and migration
10. Signaling in development of organism
11. Molecular mechanisms of autophagy and cell death
Literatura:
• Basic: John Hancock. Cell Signaling. Oxford, 2016. ISBN 978-0199232109.
• Basic: Lewis Cantley, Tony Hunter, Richard Sever, Jeremy Thorner. Signal Transduction: Principles,
Pathways, and Processes. Cold Spring Harbor, 2014. ISBN 978-1621821816.
• Extending: Voet D., Voet J.G. Biochemistry, 4th Edition. Wiley, 2011. ISBN 978-0-470-57095-1.
• Recommended: Bruce Albetrs a kol. Molecular Biology of the Cell 6th edition. 2014. ISBN 978-0815344322.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): The students will be acquainted with systematic human anatomy. They will acquire detailed knowledge of all organ systems in
both macroscopic and histological level in relation to their function and ontogeny. Moreover students will understand the history
and principles of anatomical nomenclature and will be able of routine use of basic anatomical terms.
Rozsah výuky: Konzultace 2 [Hours/Week] Cvičení 2 [Hours/Week]
Vyučovací jazyk: Angličtina
Požadavky na studenta:
The course will be successfully finished if all the following conditions are met:
- active presence in practices (min. 80 %)
- successful passing all partial examinations (min 60 % of knowledge)
- successful passing written or oral final examination
Obsah:
LECTURES
1. Histology I: Epithelial, connective, muscular and nervous tissues.
2. Histology II: Body fluids (blood, lymph, interstitial fluid).
3. Skeletal system. I: General osteology (bone histology, types of bones, bone connections).
4. Skeletal system II: Systematic anatomical description.
5. Muscle system: General myology and systematic anatomical description.
6. Human ontogeny I: Gametes, fertilization, prenatal ontogeny.
7. Human ontogeny II: Postnatal ontogeny (including the most important changes of pubertal development).
8. Human ontogeny III: Principles and stages of human growth (ICP-model of height and mass growt, BMI, cephalic growth,
sexual growth and development).
9. Nervous system I: Principles of function (reflex, reflex arc, homeostasis, stressors, stress, stress reaction), ontogeny.
10. Nervous system II: Anatomy of spinal cord end brain.
11. Nervous system III: Anatomy of sense organs.
12. Nervous system IV: Anatomy of peripheric nervous system.
PRACTICES (practical presentations of anatomy of human skeletal, muscular and nervous systems).
1. Introduction: Acquainting students with study literature and didactic requisites.
2.General human anatomy: Principles of morphology and function of human body. Orientation in human body. Anatomical
nomenclature.
3. Skeletal system I: Anatomy of trunk skeleton (knowledge revision, presentation using authentic and model human bones,
determination of bones).
4. Skeletal system II: Anatomy of upper limb bones (knowledge revision, presentation using authentic and model human bones,
determination of bones and their laterality).
5. Skeletal system III: Anatomy of lower limb bones (knowledge revision, presentation using authentic and model human bones,
determination of bones and their laterality).
6. Skeletal system IV: Anatomy of skull (knowledge revision, presentation using authentic and model human bones, determination
of bones).
7. Anthropometry practice: Practical measuring selected body dimensions, calculation of selected body indices, evaluation of
measured values using percentile graphs and interpretation of results.
8. Muscle system I: Anatomy of head, neck and trunk muscles (knowledge revision, presentation using anatomical models).
9. Muscle system II: Anatomy of upper limb muscles (knowledge revision, presentation using anatomical models).
10. Muscle system III: Anatomy of lower limb muscles (knowledge revision, presentation using anatomical models).
11. Anatomy of central nervous system: Elementary orientation in human brain (knowledge revision, presentation of important
structures using anatomical models).
12. Anatomy of sense organs. Visual and auditory-vestibular systems (presentation using anatomical models).
SELF-STUDY (textbooks, anatomical atlases, consultations)
1. Circulation system.
2. Respiratory system.
3. Digestive system.
4. Urinary system.
5. Male reproductive organs.
6. Female reproductive organs.
7. Skin system.
Literatura:
• Basic: Čihák R. Anatomie 1. Praha: Grada, 2011. ISBN 978-80-247-3817-8.
• Basic: Čihák R. Anatomie 2. Praha: Grada, 2013. ISBN 978-80-247-4788-0.
• Basic: Čihák R. Anatomie 3. Praha: Grada, 2016. ISBN 978-80-247-5636-3.
• Basic: Netter F. H. Atlas of human anatomy. Elsevier, 2014. ISBN 1455704180.
• Basic: Živný M. Biologie člověka a antropologie. Ostravská univerzita: Ostrava, 2013.
• Basic: Feneis H. - Dauber W. Pocket atlas of human anatomy. Georg Thieme Verlag: Stuttgart, 2000. ISBN 3-13-511204-7.
• Basic: Putz R. - Pabst R. Sobotta. Atlas of human anatomy. Urban & Fischer Verlag: München - Jena, 2009. ISBN 978-0-7020-3483-1.
• Extending: Faiz O. - Blackburn S. - Moffat D. Anatomy at a glance. Wiley-Blackwell, 2011. ISBN 978-1-444-33609-2.
• Extending: Artner J. Atlas of human skeletal anatomy. eBook, 2002.
• Extending: Faller A. - Schuenke M. The human body. Georg Thieme Verlag: Stuttgart, 2004. ISBN 3-13-129271-7.
• Recommended: Sinělnikov, R. D. Atlas anatomie člověka 1, 2, 3. Praha, 1980.
• Recommended: Knussmann, R. Handbuch der vergleichenden Biologie des Menschen. Stuttgart - New York, 1988.
• Recommended: Martin, R. - Saller K. Lehrbuch der Antrhopologie. Band I. Stuttgart, 1957.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Sylabus předmětu Modern methods in molecular biology and genomics, studijní program B1407 Chemie
(Staženo 5 x)
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): The objective of the course is to acquaint students with both fundamental and advanced methods currently used in the fields of
molecular and cell biology and genomics. Comprehension of methodological principles and their practical application in scientific
research and clinical practice will be emphasized.
Rozsah výuky: Lecture 2 [Hours/Week]
Vyučovací jazyk: Angličtina
Požadavky na studenta:
The course will be successfully finished if all the following conditions are met:
- successful passing the written test
Obsah:
1. Introduction to the molecular biology. Principles and applications of different experimentalmethods used in DNA, RNA and
protein analyses.
2. Analysis of DNA: Polymerase Chain Reaction (PCR) and its applications.
3. Analysis of DNA: Restriction analysis and DNA modifications.
4. Basic and advanced methods of DNA cloning, Red/ET recombineering, Gibson assembly, Southern blotting.
5. Genome editing.
6. Genome sequencing: Sanger and NGS.
7. Gene expression and methods of mRNA analysis.
8. Gene expression: in situ hybridization, RT-PCR, quantitatie RT-PCR, RNase protection assay, DNA microarrays.
9. Next-generation sequencing: RNA-seq.
10. Protein analysis: metjods of extraction and separation. Expression and puriofication of recombinant proteins. Fused (tagged)
proteins.
11. Antibodies and immunodetection. Gene expression at the protein level. Western blotting and immunocytochemistry.
12. Protein-protein interaction: GST pull-down, immunoprecipitation, yeast-two-hybrid system, ChIP."
Literatura:
• Basic: Green M. R. - Sambrook J. Molecular Cloning: A Laboratory Manual (4th ed). Cold Spring Harbor Press, 2012.
• Extending: Current Protocols in Molecular Biology - https://currentprotocols.onlinelibrary.wiley.com/ >
• Extending: Nelson C. Lehninger Principles of Biochemistry. 2017. ISBN 978-1319108243.
• Recommended: Aktuální vědecké publikace týkající se diskutovaných témat.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): The main aim of this lecture course is to present in a comprehensible and modern way the basic terms and concepts associated
with the cell as a complex molecular system. The content of the course is primarily based on the lecture book "Essential Cell
Biology" from B. Alberts et al. Successfull completion of the lecture course should enable students to build a solid knowledge
base of fundamental biological processes on cellular and molecular level. It provides also the necessary prerequisity to understand
the follow-up subjects further describing the individual aspects of the manifestations and functioning of living organisms.
Rozsah výuky: Lecture 3 [Hours/Week] Tutorial 1 [Hours/Week]
Vyučovací jazyk: Angličtina
Požadavky na studenta:
The course will be successfully finished if all the following conditions are met:
- passing a written test gaining at least 60 % of the total score
Obsah:
1. Cell as a basic structural and functional unit of life, procaryotes vs eucaryotes
2. Basic building blocks of cell- proteins, nucleic acids
3. Mechanisms of replication, transcription and translation
4. Chromatin, chromosomes, regulation of gene expression
5. Lipids, biological membranes and endomembrane system - transport and sorting
6. Cytoskeleton, cell motility, flagella
7. Principles and mechanims of cell regulation and signaling
8. Cell cycle and cell differentiation, programmed cell death, cancer
9. Energy metabolism, mitochondria, plastids, photosynthesis
10. Extracellular matrix, multicellularity in animal and plant tissues
11. Specialized cell types and their functioning
12. Main methods in studing the cell structures and functions
Literatura:
• Basic: Alberts, B. et al. Essential Cell Biology. Garland Science. 2009.
• Basic: Alberts, B. et al. Základy buněčné biologie (Úvod do molekulární biologie buňky). Espero Publishing.
2005.
• Extending: Alberts, B. et al. Molecular Biology of the Cell, Garland Science, 5th edition. 2007.
• Extending: Lodish, H. et al. Molecular Cell Biology. W. H. Freeman, 6th edition. 2007.
• Recommended: Kauffman, S. Čtvrtý zákon. Paseka, 2004.
• Recommended: Weinberg, R. A. Jediná odrodilá buňka (Jak vzniká rakovina). Academia, 2003.
• Recommended: Davies, K. Rozluštěný genom. Paseka, 2003.
• Recommended: Lane, N. Síla, pohlaví, sebevražda. Academia, 2012.
• Recommended: Watson, J. D. Tajemeství DNA. Academia, 2006.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): Course is designed to introduce students to both modern and traditional methods of molecular biology and extend their knowledge,
they gained in previous courses. Students will learn to apply their knowledge for solving problems in primary and applied
research.
Rozsah výuky: Lecture 8 [Hours/Semester] Tutorial 24 [Hours/Semester]
Vyučovací jazyk: Angličtina
Požadavky na studenta:
The course will be successfully finished if all the following conditions are met:
- participation in lab practice
- submit the lab protocols
- pass the control tests (at least 60 % success)
Obsah:
Lectures:
1. Quantitative and digital PCR
2. Restriction endonucleases and molecular cloning
3. Mutagenesis, DNA damage, DNA repair
Laboratory practices:
1. Quantitative PCR I
2. Quantitative PCR II
3. Detection of DNA quadruplexes using PAGE
4. Detection of DNA damage caused by chemical agents
5. Restriction endonucleases
6. Seminar
Literatura:
• Basic: Kneale G. G. DNA-protein interactions: principles and protocols. Humana Press Inc., New Jersey,
1994.
• Basic: Sambrook J. - Russell D. W. Molecular Cloning: A laboratory manual 1-3. New York: Cold Spring
Harbor, 2001. ISBN 0-87969-577-3.
• Basic: Janson J.-C. Protein purification: principles, high resolution methods, and applications. 3rd edition.
J. Wiley & Sons, New Jersey, 2011.
• Recommended: Friedberg, E. C., Walker, G. C., Siede, W., Wood, R. D., Schultz, R. A. & Ellenberger, T. DNA
Repair and Mutagenesis. ASM Press, 2. vydání, 2006.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): Aims
The course of biochemistry gives basic information about structure, properties and functions of the chemical components of living
organisms and about reactions and processes of these components.
Rozsah výuky: Lecture 2 [Hours/Week]
Vyučovací jazyk: Czech, English
Požadavky na studenta:
Evaluation of the subject as well as the exam grading is made according to the articles No 31 - 33 in the Regulations on Study and
Examinations University of Ostrava
Obsah:
Content
1. Definition and classification of biochemistry. The chemical composition of the living organisms. Static, dynamic, functional,
and organizational biochemistry. Biogenic elements, water, low-molecular and macro-molecular organic compounds -
polysaccharides, proteins, nucleic acids.
2. Non-covalent interactions. Amino acids. Non-covalent interactions and their significance in the living nature. Amino acids -
structure, the physical properties, optical activity, acidobasic properties, nomenclature, classification, separation -
chromatography, the chemical reactions, significance.
3. Peptides and proteins. Peptidic bond, peptides nomenclature, biosynthesis and decomposition of peptides, biochemically
significant peptides. Structure of proteins - primary, secondary, tertiary, quaternary, isolation - the precipitating methods,
chromatography, electromigration methods. 4. Saccharides. Monosaccharides - the physical and chemical properties, types of
formulas, biochemically significant monosaccharides. Oligosaccharides and polysaccharides - the chemical composition,
glycoside bonds, biochemically significant oligosaccharides and polysaccharides (spare and constructional).
5. Lipides, isoprenoids, steroids. Biomembranes. Simple, conjugated lipids - physical and chemical properties, significance.
Isoprenoids, steroids. The biological membranes and membrane transport.
6. Structure of NA. Replication, transcription, translation. Structure of RNA, DNA-base, nucleosides, nucleotides. Replication,
transcription, translation. Regulation of gene expression.
7. Enzymes. Properties, simple and complex enzymes, nomenclature, formulation of catalytic activity. Chemical and enzymatic
catalysis - active centre, specificity and mechanisms of effect, isoenzymes, multienzyme complexes. Coenzyme and vitamins. Enzyme kinetics.
8. Metabolisms and bioenergetics. Three levels of metabolisms, catabolisms, and anabolisms. The macroergic compounds, ATP substrate and oxidative phosphorylation, photophosphorylation.
9. Metabolisms of saccharides. Aerobic glycolysis, oxidative decarboxylation of pyruvate, chemisms, energetic balance, anaerobic
glycolysis - lactic acid and alcoholic fermentation, chemisms, energetic balance, pentose cycle, gluconeogenesis. Fragmentation,
biosynthesis of polysaccharides. 10. Metabolism of lipids. Degradation of simple and conjugated lipids - lipases and
phospolipase, degradation and biosynthesis of fatty acids and glycerol, synthesis of simple and conjugated lipids.
11. Metabolism of proteins and amino acids. Metabolism of proteins and amino acids - proteolysis, proteases, digestion of
proteins, main transformation of amino acids - transamination, deamination, decarboxylation, glugonic and ketogenic amino acids,
detoxication of ammonia, urea cycle, biosynthesis of amino acids.
12. Krebs cycle. Respiratory chain and oxidative phosphorylation. Krebs cycle - chemisms and energetic balance, connection to
other metabolic processes. Respiratory chain and oxidative phosphorylation - arrangement, energetic yield, formation of ATP -
chemiosmotic theory.
Literatura:
• Recommended: T.A. Brown. Biochemistry. Scion Publishing Limited UK, 2017. ISBN 9781907904288.
• Recommended: Harvey, R.,A., Champe, P., C. Biochemistry. Lippincott Williams&Wilkins, 2005..
• Recommended: Berg, J.,M., Tymoczko, J., L., Stryer, L. Biochemistry. W. H. Freeman company, New York, 2002..
• Recommended: Zubay, G. L., Parson W. W., Vance D. A. Biochemistry. Wm. C. Brown Publishers, 1998..
• Recommended: Philip W. Kuchel. Biochemistry: 830 fully solved problems. Sydney, Australia, 2009. ISBN 978-0-07-147227-2.
• Recommended: Jose Ramon Blas. BiochemTEST. Spain, 2014. ISBN 9781496191229.
• Recommended: Boyer, R. Concepts in Biochemistry. Brooks/Cole Thomson learning,Inc., 2002..
• Recommended: B.Alberts. Molecular biology of the cell. Garland Science NY, 2002. ISBN 0-8153-3218-1.
• Recommended: Horton, R.H., Moran, L.A., Ochs, R.S. Principles of biochemistry. Prentice Hall, 2002..
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): The course is focused on the study of coordination compounds
Rozsah výuky: Seminar 1 [Hours/Week]
Vyučovací jazyk: English
Požadavky na studenta:
Evaluation of the subject as well as the exam regarding is made according to the articles No 31 - 33 in the Regulations on Study
and Examinations University of Ostrava
Obsah:
1. Basic terms from the chemistry of coordination compounds, coordination number
2. Stereochemistry of complexes
3. Isomerism of complexes
4. Test 1
5. Bond in complexes - theory of valence bond
6. Bond in complexes - crystal field theory
7. Bond in complexes - the consequences of d-orbital cleavage (stabilizing energy, magnetic properties, color)
8. Test 2
9. Stability of complexes - overall and consecutive constants
10. Factors affecting the stability of complexes
11. Complexes with pi-acceptor ligands, pi-complexes
12. Kinetics and mechanism of the reactions of complexes
13. Test 3
Literatura:
• Recommended: Housecroft E.H., Sharpe A.G. Anorganická chemie. Praha, 2014.
• Recommended: GREENWOOD N. N., EARNSHAW A. Chemie prvků. Informatorium Praha, 1993.
• Recommended: BŘEZINA F., PASTOREK R. Koordinační chemie.Skripta UP Olomouc.. 1991.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): The subject is devoted to bases of the theory of linear spaces of finite dimension, theory of bilinear forms, scalar product vector
spaces and linear operators on scalar product vector spaces.
Rozsah výuky: Přednáška 2 [Hours/Week] Cvičení 2 [Hours/Week]
Vyučovací jazyk: English
Požadavky na studenta:
The course is finished by an oral exam.
Obsah:
1.-2. Bilinear forms on finite dimensional real vector space, representation of the bilinear form via basis, transformation matrix for
bilinear forms, symmetric and antisymmetric bilinear forms, representation of the bilinear forms, connection with matrices,
symmetric operators.
3.-5. Finite dimensional vector spaces with scalar product: scalar product on real and complex vector spaces, properties,
orthogonal and orthonormal vectors, Gram-Schmidt orthogonalization process, norm and metrics induced by scalar product;
orthogonal completion of a subspace, ortogonal projection of the vector on subspace.
6.-8. Linear operators on unitary space: unitary and orthogonal operators (on finite-dimensional space), group of unitary and
orthogonal transformations, criteria of unitarity and orthogonality of linear operator, structure of unitary and orthogonal operators,
spectrum, canonical form.
9.-11. Hermitian (self-adjoint) and symmetric operators: adjoint operator, self-adjoint (Hermitian) operator, symmetric operator,
properties of hermitian and symmetric operators, structure, eigenvalues and eigenvectors, spectral theorem, projectors.
12. Quadratic forms, representation via basis, transformation matrices, canonical forms, Sylvester theorem.
Literatura:
• Basic: R. Halmos. Finite-Dimensional Vector Spaces. Springer, 1987.
• Recommended: Sauders Mac Lane and Garrett Birkhoff. Algebra. AMS Chelsea Publishing, 1999.
• Recommended: Kreyszig, E. Introductory Functional Analysis with Applications. [s.l.]: Wiley, 1989. ISBN 0-471-50459-9.
• Recommended: Halmos, P. R. Linear Algebra Problem Book. Cambridge University Press, 1995. ISBN 0883853221.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Autor: Termer Alexandr
Autor: neudeven
Popis: Cíle předmětu (anotace): To get a firm knowledge of basics of affine and projective geometry. To acquire understanding of the importance of projective structures.
Rozsah výuky: Přednáška 2 [Hours/Week] Cvičení 2 [Hours/Week]
Vyučovací jazyk: English
Požadavky na studenta:
The course is finished by a written test and oral examination.
Obsah:
11.-3. Affine spaces, affine maps, affine coordinates, affine subspaces. Mutual position of subspaces.
4. Affine group.
5. Basics of linear programming.
6.-7. Projective spaces, projective subspaces, projective duality. The Fano plane.
8. Projective groups.
9. Affine and projective quadrics.
10-12. Euclidean spaces. Angle and distance of subspaces, orthogonality.
Literatura:
• Basic: A.I. Kostrikin and Yu.I. Manin. Linear Algebra and Geometry. Gordon and Breach, 1997.
• Extending: S. MacLane and G. Birkhoff. Algebra. 3rd ed., AMS Chelsea, 1999.
• Extending: A.L. Onishchik and R. Sulanke. Projective and Cayley-Klein Geometries. Springer, 2006.
Licence: Bez licence (Nepodléhající ochraně duševního vlastnictví)
Druh produktu:
Výukový materiál/studijní opory
Požadovaný soubor není distribuován pod otevřenou licencí.
Tento produkt projektu je autorským dílem, chráněným zákonem č. 121/2000 Sb., o právu autorském, o právech souvisejících s právem autorským a o změně některých zákonů (autorský zákon), ve znění pozdějších předpisů.
Produkt je možné použít v souladu s § 29 až § 39b autorského zákona v rozsahu volného užití díla nebo na základě zákonné licence.
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Návrh na uzavření smlouvy dle § 2373 zákona č. 89/2012 Sb., občanský zákoník, ve znění pozdějších předpisů.
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