programme

Algebra I

Home/ Algebra I
Course TypeCourse CodeNo. Of Credits
Discipline CoreSUS1MA5034

Type of Course:

  • Compulsory Yes ( Cohort BA (H) Mathematics)
  • Elective: Yes (Cohort BA (H) other than Mathematics)

Course Coordinator and Team: Balchand Prajapati (CC)

Email of course coordinator: balchand@aud.ac.in

Pre-requisites: Mathematics of the 10 + 2 level

Aim: The aim of the course is to offer a gentle introduction to very basic concepts of complex numbers, groups, rings and linear mappings and some applications of these.

Real-life examples, hands-on projects, presentations, case studies, visualisation and basic computing tools will be used to reinforce skills of group theory and linear algebra.

Brief description of modules/ Main modules:

  • Classical Algebra
  • Group Theory
  • Ring Theory
  • Linear Algebra

Refererences:

  • Paul E. Bland, The Basics of Abstract Algebra, W. H. Freeman and Company, 2002.
  • Bhattacharya, Jain and Nagpal, Basic Abstract Algebra (Second Edition), Cambridge, 2009.
  • Peter J. Cameron, Introduction to Algebra (Second Edition), Oxford University Press, 2008.
  • Neal H.Mc Coy, Introduction to Modern Algebra (Fifth Revised Edition), Brown (William C.) Co, U.S., 1992.
  • John R. Durbin, Modern Algebra, An Introduction (Fifth Edition), John Wiley and Sons (Asia) Pte. Ltd, 200
  • Joseph A. Gallian, Contemporary Abstract Algebra (Fourth Edition), Narosa Publishing House, New Delhi, 1999.
  • Jimmie Gilbert and Linda Gilbert, Linear Algebra and Matrix Theory (Second Edition), Brooks Cole, 2004.
  • David C. Lay, Linear Algebra and its Applications (Third Edition), Pearson Education Asia, Indian Reprint, 2007.

Tentative Assessment schedule with details of weightage: 

S.NoAssessmentDate/period in which Assessment will take placeWeightage
1Class testEnd August10%
2Mid Semester ExamEnd September/ early October25%
3Tut/ Home AssignmentsThroughout the semester15%
4Presentation/ VivaEnd October/ early November15%
5End Semester ExamAs per AUD Academic Calendar35%