Course Archives Theoretical Statistics and Mathematics Unit

Course: Field and Galois theory Level: Undergraduate Time: Currently not offered

Syllabus Past Exams Syllabus: - Algebraic extensions: degree, Splitting fields and normal extensions, Algebraic closure. - Separable extensions, Fundamental theorem of Galois theory. - Finite fields, Cyclic extensions, Kummer theory. - Ruler and compass constructions, Solvability by radicals. - Transcendental extensions: Transcendence bases and transcendence degree Reference Texts: (a) M. Artin: Algebra. (b) S. D. Dummit and M. R. Foote: Abstract Algebra. (c) I. N. Herstein: Topics in Algebra. (d) K. Hoffman and R. Kunze: Linear Algebra. (e) C. Musili: Rings and Modules. (f) P. Morandi: Field and Galois theory. (g) N. Jacobson: Basic Algebra. Top of the page Past Exams

Midterm 24.pdf Semestral 24.pdf Supplementary and Back Paper 24.pdf Top of the page

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