MATH 5330. ALGEBRAIC GEOMETRY. 3 Hours.
Theory of ideals in polynomial rings, Nullstellensatz, Hilbert's basis theorem, computation in polynomial rings, affine and projective varieties, singular and smooth points on varieties. Prerequisite: MATH 4321.
Develo p the students’ ability to do independent research and prepare them for more advanced studies in mathematics. Provide advanced training and preparation for professional careers as mathematicians, mathematics teachers, and those employed in engineering, scientific and business fields.
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