Descriptive GeometryBMETE90AX06 • Course In English • 2020/21/1 Lecturer: Dr. István PROK
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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 3-dimensional 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): 90-minute long tests containing two construction problems.
· Eight assignments (in total 20 points).
· Exam (50 point): a 120-minute long test containing three construction problems.
Students who miss a midterm or want to improve its result may write a make-up 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).
Sept-15: Orthogonal projection. Monge's representation. Representation of points, lines and planes; visibility.
Sept-22: Intersection of
line and plane; intersection of two
planes or two planar figures.
Assignment 1: Monge's projection of a polyhedron (deadline: Sept-29).
Sept-29: Principal line,
principal plane, auxiliary projection.
Assignment 2: Intersection of two planar figures (deadline: Oct-6).
Oct-6: Auxiliary
projection with special purposes (given view,
angles, distances,
solids).
Assigment 3: Auxiliary projection of a polyhedron (deadline: Oct-13).
Oct-13: Intersection of
polyhedron and line. Intersection of
polyhedron and plane or planar figure.
Assignment 4: Intersection of a polyhedron and a planar figure (deadline:
Oct-20).
Oct-20: Intersection of
two polyhedra (without transformation
of pp, with transformation of pp).
Assignment 5 (deadline: Oct-27).
Oct-27: MIDTERM TEST 1.
Nov-3: Basic metric
constructions. Metric construction
of polyhedra 1.
Assignment 6: Metric construction of solid standing on projecting plane (deadline:
Nov-10).
Nov-10: Metric
construction of polyhedra 2 (example A,
example B).
Assignment 7: Metric construction of solid standing on oblique plane (deadline:
Nov-17).
Nov-17: Ellipse as the
orthogonal projection of a circle. Circle in
projecting plane, Circle in oblique plane.
Assignment 8 (deadline Nov-24).
Nov-24: MIDTERM TEST 2.
Dec-1: Orthogonal axonometry.
Dec-8: Clinogonal axonometry. Conic sections.
Dec-17: FINAL deadline of retaking assignments.