Learning of descriptive methods (two-dimensional representations of three-dimensional objects constructed following mathematical rules), geometric knowledge enrichment, deepening of the geometrical perception, sharpening of the mathematical thought and especially of the geometrical thought, graphical solutions of technical problems, facilitation of the understanding of computer generated technical drawings.
|1||Stereometry||Basic notions: points, lines, planes, angles (dihedral, trihedral, polyhedral) and their measurement, perpendicularity, parallelism, skew lines, projections (perpendicular, lateral, central), distances, slopes, areas, volumes, the three- perpendiculars Theorem, Thales’s Theorem, prisms, pyramids, cylinders, cones, spheres, basic propositions.||3Χ3=9|
|2||Descriptive Geometry in two planes||Relative positions of points, lines and planes, inclinations and declinations, true lengths, trace lines, measures, developments. Technical applications: plane intersections of solids, solid intersections, cylindrical helices-turning stairs.||5Χ3=15|
|3||Descriptive Geometry in one plane via altitudes||Slopes, steps, trace lines, relative positions of points, lines and planes, measurements, unwrappings. Technical applications: roofs, topographic maps, tunnels, cuts and fills of technical works (bankings).|
After successfully completing the lesson’s requirements, students will be able to: 1. realize the exceptionally important position of geometry in the knowledge asset of their profession, 2. think geometrically, and to cover with only a minimal amount of effort any gaps in their geometric knowledge from their secondary or higher education, 3. understand that all technical drawings follow mathematical rules, 4. represent three-dimensional objects via two-dimensional drawings (in more than one way), 5. solve via graphical but mathematical methods those space problems regarding measurement and incidence in technical drawings, 6. work mathematically in certain technical applications.
|Teaching methods||Theoretical lectures in class. Solutions in class of examples, problems and exercises solutions in class.|
|Teaching media||Blackboard presentations, use of physical models, use of a projector.|
|Problems - Applications||Unsolved exercises on the blackboard and in the webpage of the course for personal occupation and knowledge deepening (no formal grading).|