EIU MAT 3271 - MAT 3271 Syllabus (2 pages)

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MAT 3271 Syllabus

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MAT 3271 Syllabus

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Syllabus

Pages:
2
School:
Eastern Illinois University
Course:
Mat 3271 - College Geometry I
College Geometry I Documents
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MAT 3271 Geometry Professor Charles Delman Professor s Office M3351 Phone 581 6274 O 348 7786 H before 9pm please Office Hours MW 1 2 pm 3 4 pm 1 Course Content Euclid and the origins of axiomatic geometry the axiomatic method undefined terms definitions axioms theorems logic and proof incidence geometry models of axiomatic systems Hilbert s axioms neutral geometry modern Euclidean geometry introduction to hyperbolic geometry it s historical development and its impact Note this course is the first half of a two course sequence continued by MAT 3272 Text Euclidean and Non Euclidean Geometries 3rd edition by Marvin Jay Greenberg 2 Objectives 1 The student will independently write clear logically sound definitions and proofs 2 The student will be able to discern the errors of reasoning in an incorrect proof and the unstated assumptions made in a non rigorous argument 3 The student will present ideas to the class in a clear and organized fashion 4 The student will listen attentively to the presentations of others and in a polite respectful and constructive manner point out errors raise questions and offer suggestions for correction or improvement 5 The student will be able to verify that the axioms of a system hold in a model of that system construct models of simple axiomatic systems and demonstrate an isomorphism between two isomorphic models 6 Without reference to external sources the student will be able to define the major concepts of geometry which have been covered and explain their purpose to state and prove the major theorems of geometry which have been covered and discuss their consequences The purpose of this course is to study geometry critically rigorously and from a historical perspective We will begin with the geometry presented by Euclid the kind you learned in high school examinining its axioms and exposing Euclid s hidden assumptions We will make these assumptions explicit and put Euclidean geometry on a modern rigorous foundation using the axiom

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