Algebra Course

Study of the basic properties of polynomial rings, upper modules of Euclidean rings, and vector spaces, and is directed at field expansions and corresponding automorphism groups as well as linear transformation algebra and matrix algebra as well as canonical forms of linear transformation. The discussion of field expansions will include algebraic, simple, and normal expansions as well as the existence of expansions of a field that contains the roots of polynomials over that field. The study of automorphism groups includes Galois groups, fixed fields, and the relationship between normal subgroups of automorphism and normal expansion. Canonical forms of linear transformations include triangular, Jordan, and rational forms. Lectures begin with an explanation of concepts and principles, assignments and discussions with students, as well as presentations using ICT with an assessment system including assignments (30%), participation (20%), mid-semester assessment (20%) and final semester assessment (30%).

• PLO-3
  Mengembangkan pemikiran logis, kritis, sistematis, dan kreatif dalam melakukan pekerjaan yang spesifik di bidang keahliannya serta sesuai dengan standar kompetensi kerja bidang yang bersangkutan
• PLO-6
  Mampu menguasai konsep matematika tingkat lanjut.