Module Handbook

 

Module Name:

Abstract Algebra

Module Level:

Bachelor

Abbreviation, if applicable:

MAL301

Sub-heading, if applicable:

-

Courses included in the

module, if applicable:

-

Semester/term:

5th/ Third Year

Module coordinator(s):

Dr. Fatmawati, M.Si.

Lecturer(s):

Dr. Fatmawati, M.Si, Siti Zahidah, S.Si, M.Si.

Language:

BahasaIndonesia

Classification within the

curriculum

Compulsory Course / Elective Studies

Teaching format / class

hours per week during semester:

3 hours lectures (50 min / hour)

Workload:

3 hours lectures, 3 hour structural activities, 3 hours individual study,

13 week per semester, and total 117 hours per semester 3.9 ECTS

Credit Points:

3

Requirements:

Fundamental of Mathematics 2

Learning goals/competencies:

General Competence (Knowledge):

Capable of connecting the concepts of the group and ring by analysis approach.

 

Specific Competence:

1.    Shows a given mathematical structure is a group
2. Describing the properties of the group
3. Prove the statement of permutation group that given.
4. Prove the statement of cyclic group group that given
5. Prove the statement of coset and Lagrange theorem that given
6. Prove the statement of normal subgroup and factor group that given
7. Prove the statement of group homomorphism that given
8. Summing up a set equipped with two binary operations are ring
9. Prove the statement of integral domain that given
10 Prove the statement of ideal that given

 

Content:

Group, subgroup, permutation group, cyclic group, cosets and Lagranges theorem, subgroup normal, homomorphism group, factor group, Ring, subring, special ring, integral domain, homomorphism ring, factor ring and ideal.

Soft skill Attribute

Activeand discipline

Study/exam achievements:

Students are considered to be competent and pass if at least get 40

of maximum mark of the exams (UTS dan UAS), structured activity

(group discussion).

Final score (NA) is calculated as follow: 10% softskill+20% Quis (essay)+ 20% assignment (essay)+ 25% UTS (essay) + 25% UAS (essay)

 

 

Final index is defined as follow:

A : 75 100

AB : 70 - 74.99

B : 65 - 69.99

BC : 60 - 64.99

C : 55 - 59.99

D : 40 - 54.99

E : 0 - 39.99

Forms of Media:

Slides and LCD projectors, whiteboards

Learning Methods

Lecture, assessments, presentation

Literature:

1.    Dipak Chatterjee, 2001, Abstract Algebra, Prentice-Hall of India, New Delhi.

2.    Fraleigh J.B, 2003, A First Course in Abstract Algebra 7ed, Addison-Wesley Publishing Company.

3.    Raisinghania, M.D. and Aggarwal, R.S., 1980, Modern Algebra, second edition, S. Chand & Company Ltd., New Delhi.

4.    Yayuk Wahyuni dan Inna Kuswandari, 2009, Bahan Ajar Struktur Aljabar, Prodi Matematika Unair, Surabaya.

5.    Nicholson, W.Keith, 2006, Linear Algebra with Application, Fifth Edition, Mc Graw-Hill, Singapore.

Notes: