MAL205 – Discrete Geometry

Module designation

Discrete Geometry (MAL205)

Semester(s) in which the module is taught

4^th

Person responsible for the module

Dr. Liliek Susilowati

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

Workload (incl. contact hours, self-study hours)

3×170 minutes (3×50 minutes lecture and lesson, 3×60 minutes structural activities, 3×60 minutes self-study) per week for 16 weeks

Credit points

3 CP (4,8 ECTS)

Required and recommended prerequisites for joining the module

Fundamental of Mathematics II (MAL203)

Module objectives/intended learning outcomes

General Competencies:

1. Carry out abstractions and analogies, and find basic patterns.

2. Mastering mathematical skills, namely the ability to reason logically, critically and systematically, which is carried out creatively and innovatively

Specific Competencies: student are able to

1.      Prove the properties of near-linear space

2.      Prove the properties of linear space

Content

Near-linear spaces: consistency and dependency, near-linear spaces, dimension, connectivity matrices, connectivity numbers, linear functions in near-linear spaces; Linear spaces: De Bruijn-Erdos theorem, exchange properties, linear functions in linear spaces.

Examination forms

Essay and Presentation

Study and examination requirements

Students are considered to pass if they at least have got final score 40 (D).

Final score is calculated as follow: 10% softskill+9% assignment + 9% Quiz + 27% midterm + 45% final exam (Presentation).

Final index is defined as follow:

Reading list

1.    Batten, Lynn Margaret, 1997, Combinatorics of Finite Geometries, Cambridge University Press, New York