![]() ![]() The syllabus for weeks 10-15 consists of selections from chapters 8 and 9 of Hvidsten, student reports, field trips and review, as posted on the class calendar.Īpproved by R. W9 complext functions and conformal mappingsį9 discuss midterm and preview of the second half semester M9 the complex plane, polar and cartesian representation W8 Sphere Projections and Isomorphism of ModelsĨ Transformation Subgroups of the Moebius Group. M8 The Klein Model of Non-Euclidean Geometry W7 The Cartesian Model of Euclid's Geometry (Birkhoff concluded)į7 The Poincare Disk Model of Non-Euclidean Geometry M7 Peripheral Angle Theorem, Law of Sines, Cross Ratios M6 Review of Cartesian Coordinates and Plane Vectorsį6 Pappus' proof of Pythagoras' Theorem and the Law of Cosines W4 Similarity, AAA, Altgeld Tower Projectį4 Quiz 2 and Birkhoff's Axioms begun M4 Parallels, 5th Postulate, Playfair, Propositions 28/29 ![]() W4 Absolute (neutral) Geometry, Exterior Angle Theoryį5 Congruence, SAS, ASA, SSS, Pons Asinorum, Pasch There are two types of Euclidean geometry: plane geometry, which is two-dimensional Euclidean geometry, and solid geometry, which is three-dimensional Euclidean geometry. W2 Consistency of axiomatic systemsį3 A Computational Axiomatic System using GEX Euclidean geometry, sometimes called parabolic geometry, is a geometry that follows a set of propositions that are based on Euclid's five postulates. It is one of the oldest branches of mathematics, having arisen in response to such practical problems as those found in surveying, and its name is derived from Greek words. Hvidsten, Geometry with Geometry Explorer (GEX)ĭay-Week labels and text sections in precede topics.ġ Geometry and the Axiomatic Method geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
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