Descriptive GeometryBMETE90AX06 • Course In English • 2020/21/1 Lecturer: Dr. István PROK

Course objectives:
at the end of the term, students
are expected to able to
1.
recognize and describe mutual positions of spatial elements, angles and distances,
2.
represent 3dimensional objects using Monge’s representation
method,
3.
construct auxiliary projections, determine angles and distances, perform metric constructions,
4.
solve intersection problems,
5.
construct projections of a circle,
6.
perform constructions in axonometry (orthogonal, oblique),
7.
classify conic sections,
construct points, tangent lines and asymptotes of a hyperbola.
Necessary supplies:
pencils, an eraser, a set square
rulers, pair of compasses.
Grading system:
· Two midterm tests (15 points + 15 points): 90minute long tests containing two construction problems.
· Eight assignments (in total 20 points).
· Exam (50 point): a 120minute long test containing three construction problems.
Students who miss a midterm or want to improve its result may write a makeup test at the end of the term.
Attendance:
students who miss a class
are responsible to prepare for
the next class in advance.
Those who are absent on
two consecutive weeks or from
more than 30% of the classes may be dropped.
Grading conversion scale:
·
under 40 points:
fail (1)
·
from 40 points:
pass (2)
·
form 55 points:
satisfactory (3)
·
from 70 points:
good (4)
·
from 85 points: excellent
(5)
Consultation: Thursday 18:15 T603.
Minimum of the assignments: 16 points (total: 40 points) In the last result this will be take into consideration dividing by 2 (total 20 points).
Sept15: Orthogonal projection. Monge's representation. Representation of points, lines and planes; visibility.
Sept22: Intersection of
line and plane; intersection of two
planes or two planar figures.
Assignment 1: Monge's projection of a polyhedron (deadline: Sept29).
Sept29: Principal line,
principal plane, auxiliary projection.
Assignment 2: Intersection of two planar figures (deadline: Oct6).
Oct6: Auxiliary
projection with special purposes (given view,
angles, distances,
solids).
Assigment 3: Auxiliary projection of a polyhedron (deadline: Oct13).
Oct13: Intersection of
polyhedron and line. Intersection of
polyhedron and plane or planar figure.
Assignment 4: Intersection of a polyhedron and a planar figure (deadline:
Oct20).
Oct20: Intersection of
two polyhedra (without transformation
of pp, with transformation of pp).
Assignment 5 (deadline: Oct27).
Oct27: MIDTERM TEST 1.
Nov3: Basic metric
constructions. Metric construction
of polyhedra 1.
Assignment 6: Metric construction of solid standing on projecting plane (deadline:
Nov10).
Nov10: Metric
construction of polyhedra 2 (example A,
example B).
Assignment 7: Metric construction of solid standing on oblique plane (deadline:
Nov17).
Nov17: Ellipse as the
orthogonal projection of a circle. Circle in
projecting plane, Circle in oblique plane.
Assignment 8 (deadline Nov24).
Nov24: MIDTERM TEST 2.
Dec1: Orthogonal axonometry.
Dec8: Clinogonal axonometry. Conic sections.
Dec17: FINAL deadline of retaking assignments.