Geometry

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Applied Mathematics

Synopsis:

Topographic surfaces, Orthogonal projection, axonometric projection (orthogonal axonometry, skew projection), perspective projection, curves - conic sections, examples of plane curves, basics of differential geometry of curves: parameterization, arc of the the curve, torsion and curvature, Frenet`s trihedron, surfaces of revolution, quadrics, ruled quadrics, etc.

Requirements:

Secondary school geometry.,

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Basic methods of projection - orthographic and oblique projections, linear perspective. Parametrization of the curve, torsion and curvature. Application of differential geometry in road design. Cartographic projections - azimuthal, cylindrical and conical projections.

Study materials:

Kargerová M., Mertl P., Geometrie, Praha, Vydavatelství ČVUT, 1996, Kargerová M., Mertl P., Úlohy na cvičení z geometrie, Praha, Vydavatelství ČVUT, 1998, Kargerová M., Deskriptivní geometrie pro technické školy vysoké, vyšší a střední, Montanex, 1997

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: