MAA306 – Metric Space Theory

Module designation

Metric Space Theory (MAA306)

Semester(s) in which the module is taught

7^th

Person responsible for the module

Dr. Eridani

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

Real Analysis II

Module objectives/intended learning outcomes

General Competence (Knowledge):

  Capable of proving mathematical statements formally and applying them regarding metric spaces.

Specific Competence: student capable of

1.      Explaining Metric Spaces and the examples.

2.      Explaining distance and its elementary properties.

3.      Explaining open, closed sets & their elementary properties.

4.      Explaining sequences in metric space..

Content

Metric Spaces, Distances and their elementary properties, Open, closed sets & their elementary properties, Sequences in metric spaces.

Examination forms

Essay

Study and examination requirements

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

Final score is calculated as follows: 10% softskill+30% assignment + 20% Quiz + 20% midterm + 20% final exam.

Final index is defined as follow:

Reading list

1.      O’Searcoid M., 2006, Metric Spaces, Spinger London, UK.

2.      Mukherje M. N., 2010, Elements of Metric Spaces, Academic Publishers, UK.