MAL301 – Abstract Algebra

Module designation

Abstract Algebra (MAL301)

Semester(s) in which the module is taught

5^th

Person responsible for the module

Dr. Yayuk Wahyuni

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 Competence (Knowledge):

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

Specific Competence: student are able to

1.     Describe the properties of a group

2.     Prove statement related to group

3.     Prove statement related to normal subgroup and factor group

4.     Prove statement related to group homomorphism

5.     Identify whether a set with two operations is a ring

6.     Prove statement related to special ring

Content

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

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+25% assignment + 20% Quiz + 20% midterm + 25% final exam.

Final index is defined as follow:

Reading list

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

2.   Fraleigh J.B, 2003, “ A First Course in Abstract Algebra 7^ed”, 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.