MTS 412 Course Synopsis

Courses Code: MTS 412
Course Title: ADVANCED ALGEBRA II
Number of unit : 3 UNITS
Course Duration:

COURSE DETAILS
Course Coordinator:
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Office Lecturer: College of Natural Science, Department of Mathematical Science
Other Lecturer:

COURSE SYNOPSIS
PRQT MTS 311 OR MTS 314

Polynomials over fields. Irreducibility criterion especially over Q, the rational number fields.  Fields extensions.  Finitely generated. Finite and simple extensions. Algebraic extensions, Splitting fields. Derivatives and Separability, Normal extensions. Automorphosims of fields.  F-automorphisms, and normal extensions. Fundamental theorem of Calois theory. Applications

MTS 412 – ADVANCED ALGEBRA II

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