Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Topology
Module Level: Bachelor
Abbreviation, if Applicable: MAM62206 Sub-Heading, if Applicable: -
Courses included in the module, if applicable
Topology Semester/term: 6th/ 3th year
Module Coordinator(s): Chair of the Lab. Analysis Lectures(s) Drs. M. Muslikh, M.Si.,Ph.D
Drs. Abdul Rouf A., M.Sc.,Ph.D.
Language Bahasa Indonesia
Classification within the curriculum
Elective Studies Teaching format / class
hours per week during semester:
100 minutes lectures per week.
Workload: Total workload is 3 ECTS, which consists of 1.67 hours lectures, 2 hours structured activities, 2 hours independent learning, 16 week per semester, and a total 90.67 hours per semester including mid exam and final exam.
Credit Points: 2
Requirements according to the examination
regulations:
Students have attendance at least 80% on Topology class and registered as examinees in the academic information system.
Recommended prerequisites
Students have taken Introduction to Real Analysis I course (MAM61204) and have participated in the final exam on the module.
Module objectives/intended learning outcomes
After completing this course the student should have
CLO 1 : ability to recognize and understand elements on topology and topology space.
CLO 2 : ability to identify and determine interval of set on toplogy space.
CLO 3 : ability to understand base, sub base on topology and mapping on topology space
CLO 4 : ability to analyse separated set, compact set and connected set on topology space.
Content: 1. Definition of topology and topology space.
2. Open set on topology space: interior point, eksterior point and properties.
3. Close set on topology space: limit point, boundary point and closure.
4. Subset on topology, relative topology, close set on subset.
Module Handbook-Mathematics-Universitas Brawijaya 5. Continuous mapping on topology space, homeomorfisma
dan finite set.
6. Compactness on topology space and Heine Borel Theorem 7. Connected space and connected set.
Soft Skill Attribute Discipline, honesty, cooperation and communication Study / exam
achievements:
The final mark will be weighted as follows:
No. Assessment methods (component, activities). Weight
1. Assignment 20 %
2. Quiz 20 %
3. Mid examination 30 %
4. Final examination 30 %
Final grades is defined as follow: A : 80 < Final Mark ≤ 100 B+ : 75 < Final Mark ≤ 80
B : 69 < Final Mark ≤ 75
C+ : 60 < Final Mark ≤ 69
C : 55 < Final Mark ≤ 60
D+ : 50 < Final Mark ≤ 55
D : 44 < Final Mark ≤ 50
E : 0 ≤ Final Mark ≤ 44
Forms of Media Whiteboards
Learning Methods Lecture
Literature 1. Sandra Briton, 2005. Lecture notes: Topology, Sydney University.
1. Simmons, G.F, 1963, Topology and Modern Analysis, Mc Graw-Hill Book Comp. Inc.
Notes:
