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M 329: Modern Geometry

geometry tools: protractor, compass and pencil.Upon successful completion of this course, the student should be familiar with deductive and inductive reasoning and with the axioms and theorems of Euclidean and non-Euclidean geometries and the historical context in which they came about. The student should exhibit competence in performing geometric constructions both by hand and with the aid of computer software, in proving geometric theorems in both Euclidean and non-Euclidean geometries, and in solving a variety of problems based upon the geometric properties studied.

M 119: Introduction to Number Theory

paper with mathematical equationsIn this course the student will study the development and properties of number systems. This includes the study of the real numbers and algorithms that use them. It also includes the study of number sequences and number patterns.