Real function of one real variable. Sequences, limit of a function, continuous functions. Derivative of a function, its geometric and physical applications, basic theorems on derivatives, higher-order derivatives, differential of a function, Taylor expansion of a function, sketching the graph of a function.
Linear algebra (basics of the matrix calculus, rank of a matrix, Gauss elimination method, inverse to a matrix, determinants and their applications). Eigenvalues and eigenvectors of a matrix. Basics of vectors, vector spaces. Linear spaces. Analytic geometry (dot, cross and mixed product of vectors, affine and metric problems for linear bodies in 3D).
The basic problems in numerical mathematics (interpolation, solving nonlinear equation and systems of linear equations, numerical differentiation).

Double and triple integrals. Their calculation, transformation, physical and geometric interpretation.
Curvilinear integral in a scalar field, its calculation and application. Divergence and rotation of a vector field. Curvilinear integral in a vector field, its calculation and application. Independence of a curvilinear integral on the integration path. Green`s theorem.
Existence and uniqueness of solutions to first order differential equations. n-th order homogeneous linear differential equations with constant coefficients. Solutions to non-homogeneous linear differential equations with special-type right-hand sides. Variation-of-constants method.

Discrete and continuous random variable and vector, probability function, density function, probability, cumulative distribution, transformation of random variables, independence of random variables, numeric characteristics of random variables and vectors, special distribution laws.
Random sample, point estimation of an unknown distribution parameter and its properties, interval estimation of a distribution parameter, testing of statistical hypotheses, tests of distribution parameters, goodness-of-fit tests, basics of regression analysis.

Partition of physics, field, mass, kinematics of a point mass, dynamics of a point mass, dynamics of a rigid body, hydromechanics, vibrations and waves.

Basic principles, concepts and assumptions of the theory of elasticity and plasticity. Deflections. Strains. Stresses. Saint-Venant principle of local action. Linear theory of the elasticity. Material laws, Stress-strain diagram.
Analysis of a straight bar – basic assumptions. The interaction between the internal force components and the stress components, and between the internal force components and the external load. Basic cases of the loads of a bar. Simple tension and compression – the stress, the strain, the deflection. The influence of the temperature and the initial stresses. Simple shearing load. Simple bending load –calculation of the normal (axial) stresses. Design of the bent beams. The deflection of the bent beams. Differential equation of the deformation line. Method of initial parameters a Mohr’s method. Calculation of the tangent stresses – massive and thin-walled cross-sections. The consideration of the shear stress in the bent beam. The centre of the shear. Pure torsion and warping torsion. Free warping – massive circular and non-circular cross-section. Thin-walled closed and opened cross-section.
Composed load cases of the bar. Spatial and biaxial bending. Tension (Compression) and bending in a plane. Eccentric torsion and compression. The core of the section. Design of the beams in the case of the composed (complex) load.
The stability and the bucking strength of the compressed bars. Euler’s solution. The critical force and the critical stress. The strength approach to stability. A bar loaded by a bending and buckling load. The check of the buckling bars.
The theory of the material strength and failure. The stress and strain state in a point of the body. The principal stress at the plane stress problem.

Principle of deflection methods and its variant. Calculation model and degree of kinematic indeterminacy. Deflection method for planar structures. Analysis of straight bar with variable cross-section. Local values, primary vector and stiffness matrix. Bar connected by joints, cantilever. Bar with constant cross-section. Geometric transformation, global matrix of bar. Analysis of bar systems, compilation of equations, localization. Determination of ended forces and diagram of components of internal forces at bars. Determination of reactions and controlling of solution. Another variants for building equations up.
Solution of rectangular frames and continuous girders. Temperature influences, shift of supports. Truss girder is solved by deflection method. Bar with variable cross-section with height linear ramping, determination of deflection coefficient. Solution of spatial frames using deflection method. Calculation model for simplified deflection method.

The importance of geodesy in civil engineering. Coordinate systems, reference frames and vertical datum in Czech republic and EU.
Angle-, distance-, height measurements, geodetic calculations. Global navigation satellite systems (GNSS).
Methods of spatial data collecting - surveying, GNSS, terrestrial and airborne laser scanning, mobile mapping systems.
Setting out of structures, check measurements, determination of displacements and deformations, special measurements.
Cadastre of real estates, retrieval of informations from cadastre.
Cartography, state map series, geographical information systems (GIS), building information model (BIM).

Introduction - backgrounds. Methodology of limit states, geotechnical categories. Shallow footings - spread footings, strip footings, slabs. Design and check of shallow footings - 1st limit state, 2nd limit state.
Deep foundations - division of elements. Piles - distribution (displacement, replacement). Drilled piles, CFA - technology of building. Design of axial loaded bored piles - limit bearing capacity, limit loading curve. Uncased piles - building technology. Vibropiles. Micropiles - types, building technology, utilization. Diaphragm walls and lamellas - building technology and utilization. Anchors - distribution, design and construction methods, anchor prestressing.
Jet grouting - technology, recovery. Classical injection - sealing, hardening, compensation, injection materials.
Foundation pits and their timbering. Rider sheeting, pile walls, diaphragm walls. Cofferdams. Static design of foundation pit timbering. Foundation pit dewatering.
Underpinning.

The course is to introduce the history and development of the civil engineering industry to the student. It’s to teach students about the building code and accompanying decrees, local standards, nomenclature, structural systems, etc. Students are to gain information about loads and forces as well alongside ones regarding vertical load and non-load bearing structures, stairs, ramps, and others.

The course continues with deepening of fundamental knowledge in the field of building design. It focuses on roofs, describes various types of roofs, applicable materials, principles of design, etc. The course also introduces building envelopew, their types and variants with regard to elimination of heat losses.

The course content is processing of project documentation of the building. Student will learn with the process plotting building structures, a way of dimensioning and markings of construction materials. Part of the task will be drafting a coordinating situation and of the technical report. Part of the task will be drafting a coordinating situation and of the technical report.
Theme is a residential building, free standing ranked under urban area of the village, for example, an apartment block with the two floors and with the partial basement for technical installations and facilities (the heating, storage boxes, garage...). Building roof as either roof timbers by using of the attics or flat roof with a receding storey. The building land in slope, appropriate for the partial basement object. The altimetry contour line, with the existing objects and with utility networks for connection of building.
Attachments: Technical Report, Situation layout 1:200, plans of all floors 1:100, Cross sections 1:100 through the object (or through the staircase and through roof shape - the teacher decides; Front of views 1:100

The conception of this subject enables a basic overview through the fire safety of industrial and non-industrial objects including specific designs of residential, medical and agricultural buildings and assembly halls and areas. The main requirements of the design of buildings with respect to the fire safety are: fire protective properties of building materials, determination of fire characteristics, methods of the fire risk determination considering the demands on building constructions, ways of improvement of fire protective characteristics of building materials and structures, solution and design of escape routes, determination of areas with fire risk, fire control equipment. This basic information abou fire protective requirements is fundamental for the building design process. The technical report of the fire safety design of buildings which is the part of the documentation could be completed. The acquired knowledge is aplicated during the completion of a project documentation in the subject Specialized project.

The content of the subject is divided into two specialized sections:
1) Testing in civil engineering and
2) Technology of concrete and silicate production.
Ad 1)
Requirements for building materials according to the EU directive on building products and the system of tests of materials, segments and constructions.
Division of tests into certificate tests and checking tests, destructive and non-destructive.
Regression relations and statistic evaluation of results.
Essentials of non-destructive testing methods and their application in laboratories (electro-acoustic, magnetic and hardness non-destructive measurement methods).
Radiometric methods of the detection of reinforcement location, volume mass and moisture of bulk materials and radon in buildings.
Ad 2)
Technology of concrete production. Types and components of concrete.
Fresh concrete processing, concrete hardening and curing.
Basic findings about production and usage of silicate products.

Reinforced concrete monolithic two-way slabs locally supported.
Precast structures – halls, skeletons, buildings from flat and spatial units. Type of units. Arrangement and details of connections. Calculation of precast units and structures, joint members, anchorages and mounting lugs. Spatial rigidity. Special units and structures. Design and application of composite structures on constructions of structural engineering.
Selected structures of civil engineering – storages, tank. Design principles of prestressed concrete members design.

Materials and technologies for the road construction. Getting knowledge about basic materials which are used in the road construction (soils, aggregates, bitumens, asphalts, concretes etc.), their properties and quality demands.
In connection with the material properties production and building-in technologies of particular construction layers of flexible and rigid pavements are going over, further also test systems for quality control.
Principles of the road construction design according to catalogue.
Road distresses and road material recycling technologies.

History, progress and importance of engineering structures in civil engineering
Basic types of building and engineering structures and their general characteristics.
Building materials – material properties from the viewpoint of usage in building structures, basic material characteristics.
Load of building structure, load classification, particular load cases and their combinations.
Concrete and masonry structures, metal and timber structures – basic types, dispositional and structural design, significant structural details.
Basis of design and computer modelling of engineering structures.
Concrete and steel bridges and timber footbridges, masonry bridges and vaults: overview of types.
Transportation history, categorization, social aspects, transportation advantages and disadvantages. Integrated transport systems. Transportation terminology and basic concepts.
Railway transport charakteristic, basic concepts, alignment and profile of the line, permanent way and subgrade. Railway station.
Roadway and motorway characteristics in CR, design of road structures, technologies for road construction, urban infrastructure.
Airports.

Dispositional and structural design and loading in building process of metal-framed structures.
Design of industrial buildings.
Roof structures (cladding, rafters, purlins, girders, bracing, bearings, optional roof members).
Crane girders and material handling systems in industrial buildings.
Crane girder design for travelling cranes (rail, main girder, horizontal bracing beam, bumpers).
Transmission principles of crane girder braking force into substructure.
Bent systems of industrial buildings.
Design of web-plate and built-up columns, footing and column anchorage.
Spatial rigidity of industrial building systems.
Lateral (wind) bracing, bracing systems of buildings with socketed columns only.
Exposed and interior walls structure of industrial buildings.
Window and portal lintel dimensioning.
Production, assembly, maintenance and rebuilding of metal-framed industrial bearing structures.

History of waterworks engineering, organization of water management in CR and EU, The Water Act. Torrents, water courses
Water courses regulations, flood control, weirs, water courses restoration. Water abstraction from water courses, artificial channels, waterways, water reservoirs. Construction, arrangement and use of water reservoirs, ponds and purpose reservoirs. Watershed protection,land consolidation. Landscape restoration,landscape water management. Irrigation, drainage, municipal engineering, catchment of water sources. Water supply, water treatment, water reservoirs and water towers. Sewerage, sewage water treatment, sludge management, sewage water treatment plants, waste disposal, landfills. Balneology, water management research.

Basic principles of design of sanitary facilities including pre-wall installation, design fixtures assembly, plumbing, and gas installations. The location of installations in buildings.
Basic principles of disposal of waste water from buildings. Hydraulics and design of drainage systems. Design of wastewater and rainwater drainage systems. Control runoff of rainwater. Sewer connections.
Basic principles of water installations. Designing of water installation. Hydraulics and sizing of water installation. Protection against pollution of potable water. Water heaters. Thermal insulation of pipes. Equipment for fire water supply. Water connections.
Basic principles of building gas supply. Types and characteristics of combustible gases. Designing a gas installation pipework. Sizing gas installations. Categories and placement of gas appliances. Gas service lines.
Internal electrical power distribution. Materials for electrical installations. Electrical connections. Conductors.

Basic problems to creation of indoor climate by HVAC. Selected physical phenomena, theory of wet air and his conditioning. Interior aerodynamics. Thermal humidity stress building. Natural ventilation. Forced ventilation and hot air heating. Systems HVAC. Cooling for air-conditioning. Heat recovery systems. Noise in HVAC systems and his attenuation. Application HVAC systems in civil and obytných buildings.

Basic principles of operation system usage and management.
Cloud services.
Computer networks, Internet (principles, network protocols, Internet services)
Computer network security
Basic principles of computer graphics and image processing
Basics of typography.
Computer document processing using MS Word.
Advanced engineering computations using MS Excel

Introducing into theory of economics. Basic economic terms and relations. Supply and demand, market formation. Financial markets, money market,capital market, international money market. Macroeconomic theory, macroeconomic outputs, macroeconomic equilibrium, economic growth and business cycles. Economic policy, its targets and tools. Market of goods and services, theory of consumer behaviour, theory of firm. Market of production factors.

In this course students will acquaint with the history and present of project management. Attention is also focused on projects associated with construction. Project life cycle is divided into individual phases, which provide the organizational and plan their course. Scheduling techniques focusing on the use of network analysis for term, resource, cost and financial planning are discussed. Part of teaching is also managing issues of risk management in construction. Students will acquaint with Microsoft Project.

Financial sources of the civil firm, own and foreign sources, short-term and long-term sources.

Firm’s property, the management of particular parts of the property and the coverage of the property from various sources.

Structural order and its determination.

Budget.

Monitoring of the costs connected with the order, the running of the structural order from the technological and financial aspect.

Financial sources for the order assurance.

Financial plan of the order.

The cash flow of the company and the cash flow of the order

Comparison of planned and real state of the structural order from the financial aspect.

Evaluation of the differences.

The subject follows on from Technology of Constructions 1 and covers the area of building processes, linked with the erection of constructions, interior and finishing work.
Principles of the manufacturing, transportation and storage of prefabricated components. Preparedness of the construction site for assembly. Procedures used in the assembly of reinforced concrete and steel structures. Issues connected with interior and finishing processes, principles governing their performance, sequence of activities, preparedness for construction at the place of work, mutual relationships and their coordination. Quality and safety requirements, and requirements with regard to the environment.

The law system of the Czech state. The building law as part of the system of administrative law. Building Act. Implementing regulations to the Building Act. Legal regulation of administrative offenses. Expropriation. Conduct of business by natural and legal entities in building industry. Basic employment relations.

Introduction to numerical mathematics, namely interpolation and approximations of functions, numerical differentiation and quadrature, analysis of algebraic and differential equations and their systems.

Basic equations of theory of elasticity, stress and strain analysis in point, two-dimensional problems – plane stress and plane strain, axisymmetric problems, duality solution of the problem, energy theorems, variational methods, theory of thick and thin plates, theory of shells, static solution of foundation structures, models of soil, basics of elastic-plastic analysis, physical equations for elastic-plastic material with hardening, analysis of elastic-plastic state structures, the plastic limit of load carrying capacity.

Elementary architectural and structural design principles of civil buildings. Rooms and floor areas requirements, building volume and zones, cardinal point orientation, operation schemes, interiors equipments and furniture.

Respect for applicable ordinances, regulations, standards. Application of current requirements for economy, energy efficiency of buildings and environmental protection. Requirements for barrier-free design of buildings and accessibility to them.

Real recovery software for Building Physics in the design and construction assessment in accordance with applicable legislation.
In particular, the assessment of structures in terms of thermal and acoustic techniques
Verification of thermal comfort, sound and light microclimate of buildings.
The calculation and design is to optimize the structural design of the building envelope and the doors and windows, including the resolution of structural details.

Building-physical and building-technical relation valid for saving moisture masonry, rising damp causes of old building objects, building-technical survey and its evaluation, methody for reduce masonry humidity, project documentation for saving building, problems with bacis structure protection against radon infiltration. Solving question about wood construction protection against biological faktors in particular in ralation to reconstruction objects. Partition reconstruction problems,ceiling, chimney reconstruction and renovation.

Structural detail is one of basic connections between construction and architecture. The structure is a construction here, whose particular parts and elements are put together into the unit, which respects both static and architectonic aspects in general design and also in details. This is a crucial issue for total building interaction. Detail and structure are connected with many functional attachments. As the functional attachments we can mention: effects of internal and external surrounding influences, functionality and aesthetic, static and dynamics of a structure, optimal energy consumption, mutual relationships between details and the unit, technology and feasibility, reliability, economy.

The realization of the investment plan represents many administrative activities for the developer. These activities are usually provided by invited specialists. Students will be acquainted with the individual phases of building permit.

Cultural monuments and all the older or heritage buildings need to be renovated in a specific way. It is necessary to acquaint with historical building technology and used means creating their construction, architecture and embellishment. The course content is aimed right at this so that students can familiarize with traditional technologies, construction and craft industry. Last but not least they also learn how to deal with employees of conservation institutes.

In this course the student shows the ability to to draw up construction and technical design documentation of the building, which is intended as the basis for the project execution stage. The text section describes the the construction site and technical solution bearing structures and supplementary works to determine energy intensity of buildings and fire safety too. Graphical part is processed pursuant to Act No. 183/2006 Coll. and its implementing regulations 499/2006 Sb. on construction documentation.

The course is focused on certain building types in the field of building design and special requirements put onto the structures of those building. Students are to learn about garages and parking places, single storey buildings, chosen commercial and agricultural buildings, and at last also about wooden houses. Students are to receive knowledge regarding architectural, typological and structural viewpoints of previously mentioned building types.

Specifying the requirements for maintenance, repair and reconstruction from the point of view of used materials.
Evaluation of data obtained by diagnostic methods for materials choice.
Checking of materials properties with certificate tests.
Theoretic essentials of composite materials (particles and fibre composites).
Polymer-cement mortars and concrete, impregnation of concretes.
Permanent elastic mastics, their use and their significance in construction.
Glues of building materials and technology of joints.
Hydro-insulating materials and technology, additional thermal insulation. Preservation and replacement of reinforcement in reinforced concretes.
Dispersed reinforcement, wirecutted concrete, self-compacting concretes.
Materials for re-development technologies of reinforced constructions.
Seminary paper with individual task on choice of materials for re-development technology.

Principle of prestressing. Basic concept of pretensioning and post-tensioning. Material properties. Pretensioning operations, technology. Post-tensioning operations, technology. Losses of prestressing. Equivalent load method, statically determinate and indeterminate structures. Response of structures subjected to prestressing, decompression state. Resistance of against cracks. Tensile stresses in the concrete after cracking. Control of crack width and deflection. Ultimate limit state, full stress-strain response, shear resistance. Design of prestressed concrete structural members and structural systems, analysis and detailing. Design of concrete structures exposed to fire. Methods and static analysis of strengthening of concrete and masonry structures.

Current trends in development of metal structures.
Rules of structural design of multi-storey buildings. Spatial rigidity, bracing and reinforcing systems. Floor and platform bearing systems.
Multi-storey building columns, footing and column anchorage.
Large-span roofing. Spatial trusses. Structural design of truss plates and grid systems.
Production and assembly of metal structures. Reinforcing, reconstructing and rebuilding problems of steel framed buildings.
Design of metal structures based on experimental results. Tests realization and interpretation.
Catastrophic events and their reflecting in design concepts of structural systems.

The subject offer the basic orientation in practical soft skills used in companies, it raises the finding employment ability and graduate competitiveness. The subject continuously introduces to students the soft skills that lead the graduate effectively to carrier and personality growth.

Grammar: Revision of narrative tenses + used to and would, linkers, adverbs and adverbial expressions, inversion, distancing, unreal uses of past tenses, conditionals (including mixed conditionals), adjectives and prepositions. Vocabulary: Memories and summer jobs at a design office/abroad, work, history, reviews (films/books), work, history, reviews (films/books), expressions with the noun 'time', IT/software, money, addictions and obsessions, sounds and the human voice. Reading: Job adverts – a job I could do now/after graduating/my 'ideal job'. Writing: Job application, CV and cover letter.
The content of the course is aimed at students who would benefit from studying and practicing B2 (higher Upper-Intermediate level) English with a native speaker, i.e. students who: wish to study abroad (e.g. with the Erasmus+ programme) or work abroad; want to prepare for the BY003 B2 level language exam (useful for Erasmus+); already speak English at a good Intermediate level and would like to improve; already speak English at an Upper Intermediate or Advanced level and would like to practice their English so as not to forget what they learned in previous years.

Grammar: prefixes, modal verbs (permission, obligation and necessity), verbs of the senses, stress on important words, similes, gerunds and infinitives (complex look), expressing future plans and arrangements (complex look), giving opinions with adverbs, ellipsis and substitution, nouns (compound and possessive forms), adding emphasis with cleft sentences. Vocabulary: general knowledge and learning motivation, colours and art, health, illness and alternative medicine, travel and tourism, animals and nature, food and cooking, words often confused, emigration. We will practice the oral part of the VYA013 B2 level exam.
The content of the VYA005 course is aimed at students who would benefit from studying and practicing B2 (higher Upper-Intermediate level) English with a native speaker, i.e. students who: wish to study abroad (e.g. with the Erasmus+ programme) or work abroad; want to prepare for the VYA013 B2 level language exam (useful for Erasmus+); already speak English at a good Intermediate level and would like to improve; already speak English at an Upper Intermediate or Advanced level and would like to practice their English so as not to forget what they learned in previous years.

Grammar: question formation, auxiliary verbs, comparative phrases, present perfect (simple and continuous), adjective order, narrative tenses.
Vocabulary: personal questions, health, illness and treatment, clothes and fashion, travelling, weather, feelings, adjectives, my university/faculty/campus, my study programme, e-mail communication with professors
Reading: civil engineering / architecture course at a university abroad
Writing: comparing your study in the Czech Republic and a study of architecture /civil engineering abroad

Grammar: Gerunds and infinitives, past modals, verbs of the senses, passive voice, reporting verbs, clause of contrast and purpose, articles, uncountable and plural nouns, quantifiers.
Vocabulary: music and emotions, body parts, media, towns and cities, accommodation, my future house, science, studying abroad.

For this exam, the four optional subjects VYA010, VYA011, VYA004 and VYA005 are offered to aid students in acquiring the required knowledge and skills. The exam is partially based on the contents of the books New English File Upper-Intermediate Third Edition (Clive Oxenden and Christina Latham-Koenig, Oxford University Press 2014) and New English File Advanced Third Edition, (Clive Oxenden and Christina Latham-Koenig, Oxford University Press 2015), and partially on Cambridge First Certificate-type materials.
The exam is conducted orally with pairs of students and lasts 25 minutes.
The exam tests speaking skills such as interaction, pronunciation and the ability to construct connected sentences to give information or opinions on a certain topic. It also tests listening and reading ability, as well as grammar and vocabulary.

The course is intended for beginner students.
Grammar: conjugation of verbs in the present tense, accusative singular, gender of nouns, adjectives and pronouns.
Vocabulary: family, jobs, food and drink, telling the time and date, numbers 0 - 1000.