6216 Engineering Mechanics
3rd Semester RSGE
ECTS : 5
Language : el
Learning Outcomes : With this course, the student acquires the ability to successfully synthesize and analyze structural systems of constructions. Also, the fundamental knowledge of applied mechanics, offered by the course, promotes the creative and inductive thinking of students and encourages them to (future) research in directions of materials science and constructions.
ENGINEERING MECHANICS
Forces and moments: concentrated force, moment of a force about a point, addition of forces, rigid body equilibrium. Statically determinate beams and framed structures: geometrical stability, reactions, internal forces (normal-force, shear-force and bending –moment diagrams). Concepts of stress and strain: deformable body, normal stress and strain in axially loaded bar, stress and strain components in an infinitesimal orthogonal element of the body. Mechanical properties of a deformable body: stress-strain diagram, brittle and ductile behavior, Hooke law, Poisson ratio, shearing stress-shearing strain diagram. Torsion: shearing stresses and deformation in structural members with circular and rectangular cross sections in the elastic and inelastic range. Bending: simple and skew bending of structural members with symmetrical cross section, bending of structural members made of several materials deflection of beams, statically indeterminate elastic beam problems. Shearing stresses in structural members: shearing stresses in structural member with symmetrical cross section, shearing stresses in thin-walled members. Combined stresses in structural members: stresses from combined action of bending, transverse and axial loadings, transformation of plane stress, principal stresses, Mohr circle. Buckling of column: the Euler formula for a pin-ended column, elastic buckling of column with different end restraints. Laboratory tests: tensile and compressive tests for ductile and brittle materials, determination of elasticity modulus, torsion test.
6215 Database Systems
3rd Semester RSGE
Τομέας: Τοπογραφίας
Κατεύθυνση: Ολες
ECTS : 5
Language : el
Learning Outcomes : Upon successful completion of the course, the student will be able to: • understand techniques related to the organization and database systems • read and create conceptual and physical data models • use database management systems to build a database • use SQL to interact with a database • use tools to design and manage databases in a client-server environment • understand how database techniques can be correlated with issues for Rural & Surveying Engineers and Geoinformatics Engineers. Upon completion of the course, the student will have sufficient knowledge of all fundamental concepts of the cognitive subject of databases that allow understanding the principles and utilizing the tools of this scientific field in data organization and management subjects, which are critical in geoinformatics. They will possess skills in creating and managing databases that will help them solve difficult topographic and geoinformatics problems. They will also be able to manage complex technical or professional activities and make decisions during implementation.
1. Fundamentals of databases: data models, databases management systems, history
2. The entity-relationship model, the relational data model
3. Relational Algebra
4. The SQL query language
5. Client-server architecture for data management
6. Joins, views and mathematical functions in SQL
7. Typical DBMS systems: Libre Office Base, MySQL
8. Database design and automation tools
9. Introduction to spatial data types ang the OGC Simple Features standard
10. Semester project
6106 Differential Geometry
3rd Semester RSGE
ECTS : 4
Language : el
Learning Outcomes : Upon successful completion of the course, students will be able to: o possess mathematical knowledge in the most advanced mathematical field with direct applications in topography. At the same time, have the ability at a theoretical level to sharpen their mathematical thinking and enrich their geometric background. o be able to understand the connection between the mathematical knowledge of differential geometry on the one hand and the representations of technical drawings and objects in space in general on the other. o be able to understand the application of the above knowledge for handling various technical issues related to the science of surveying via computer. o have the ability to mathematically analyze and describe existing topographic problems, propose mathematical solutions, conduct their mathematical investigation, transfer results to colleagues, predict the results of their actions without constructing true models for experimentation. Perform mathematical measurements of measurable properties on real objects. o have the ability to undertake future postgraduate studies in subjects of the surveying field or related fields, where a solid geometric foundation is essential.
Smooth curves, parameterizations, regular points, reparameterizations, length, tangent vector.
Curvature, torsion, Frenet frame, evolutes and involutes, envelopes, fundamental theorem of curves).
Simple surfaces, coordinate patches, maps, smooth surfaces, parameterizations, parametric curves,
tangent planes).
First fundamental form, orientation, length of a surface curve, surface area
Second fundamental form, normal curvature, principal directions and curvatures, mean
Curvature and Gauss curvature.
Geodesic curves, rotational surfaces, developable surfaces.
Local isometries, isometries, conformal mappings, equiareal mappings.
6010 Physics II (Electromagnetic and Optics)
3rd Semester RSGE
ECTS : 4
Language : el
Learning Outcomes : Upon successful completion of the course, the student develops skills and is able to: • understand the basic and critical points of the course. • understand applications in the specific fields. • Use the knowledge gained to determine basic elements, analyze and calculate. • Know the laboratory environment and collaborate with fellow students in the context of laboratory exercises. • Have understood the concept of the source of a field and the relationship of the sources with the basic quantity of the intensity of a field. • Be able to understand the principles of geometric optics and optical systems.
Coulomb s Law, Electric Field, Gauss s Law, Electric Potential, Electrostatic Fields in Matter (Conductors, Insulators, Dielectrics), Capacitors, Current and Resistance, DC Circuits, Magnetic Fields, Biot Savart s Law, Ampere s Law, Electromagnetic Induction, Faraday s Law, Inductance and Coils, AC Circuits, Maxwell s Equations and Electromagnetic Waves, Geometric Optics: Reflection, Refraction, Mirrors, Lenses, Prisms, Optical Instruments: Eye, Camera, Telescopes, Wave Optics: Interference, Diffraction, Polarization, Resolving Power of Optical Instruments