Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Algebraic Structure I
Module Level: Bachelor
Abbreviation, if Applicable: MAM62102 Sub-Heading, if
Applicable:
- Courses included in the
module, if applicable Algebra
Semester/term: 2nd/second years
Module Coordinator(s): Chair of the Lab. Algebra Lectures(s) Dra. Ari Andari, M.Si.
Dr. Noor Hidayat, M.Si.
Dr. Darmajid, M.Si.
Vira Hari K, S.Si., M.Sc.
Dwi Mifta M, S.Si., M.Si.
Language Bahasa Indonesia
Classification within the
curriculum Compulsory Course
Teaching format / class hours per week during semester:
150 minutes lectures per week
Workload: Total workload is 4.5 ECTS, which consists of 2.5 hours lectures, 3 hours structured activities, 3 hours independent learning, 16 week per semester, and a total 136 hours per semester including mid exam and final exam.
Credit Points: 3
Requirements according to the examination
regulations:
Students have taken Set and Logic course (MAM61101), have attendance at least 80%, and have the examination card when the course is stated on.
Recommended
prerequisties -
Module
objectives/intended learning outcomes
After completing this course the student should have
CLO1 : ability to understand and prove the properties of group and Subgroup.
CLO2 : ability to understand and determine cyclic group , coset.
CLO3 : ability to understand and prove of Lagrange’s Theorem.
CLO4 : ability to understand and prove the properties of Normal Subgorup and Quotient Group.
CLO5 : ability to understand and prove the properties of group homomorphism and isomorphism.
Content: 1. Group, Subgroup.
2. Cyclic group, coset.
3. Lagrange’s Theorem.
4. Normal Subgroup and Quotient Group.
5. Group Homomorphism, isomorphism.
Attribut Soft Skill Discipline, honesty, cooperation and communication.
Module Handbook-Mathematics-Universitas Brawijaya Study / exam
achevements:
The final mark will be weighted as follows:
No. Assessment methods (component, activities). Weight
1. Quiz 20 %
2. Assignments 20 %
3. Middle 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 Slides and LCD projectors, laptop/computer, whiteboards.
Learning Methods Lecture and discussion
Literature 1. Andari, A,. 2015. Teori Grup. UB Press.
2. Dummit, D.S. dan R.M.Foote. 2002. Abstract Algebra, 2nd Ed.
John Wiley and Sons Incorporation. New York.
3. Bhattacharya, P.BB, S.K. Jain, dan S.R.Nagpaul. 1994. Basic Abstract Algebra. Cambrige University Press. New York.
4. Durbin, J.R. 1979. Modern Algebra, John Willey & Sons, Inc, New York
5. Freleigh, J.B. 1970. A First Course in Abstract Algebra, John Willey & Sons.
Notes:
