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MATH 217 - Intro to Rings/Modules/Fields |

This course is an introduction to the theory of algebraic curves. We will start with lines and conics from elementary geometry. After a review of the algebra of polynomials we will consider curves in the real affine plane and discuss their singularities and tangents. Later we will discuss curves in more general fields and indicate applications to number theory. Time permitting, we shall see how to extend the real affine plane, by adding points at infinity, to the projective plane, a natural setting for curves. Projective curves and their singularities, tangents, and flexes will be discussed. 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Mean Grade is Calculated Prerequisites: MATH 215 |

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