<p> MATH 311: Geometry</p><p>SYLLABUS</p><p>Spring 2008</p><p>INSTRUCTOR: Dr. Dixie Metheny CEHS 206 657 - 2087 </p><p>TIMES: MWF 12:50 – 1:50 CLASS MWF 2:00 - 3:00 OFFICE</p><p>COURSE DESCRIPTION: Deals with the fundamentals of synthetic and modern geometry. Covers topics in non-Euclidian geometry as well as topics in Euclidian geometry, such as finite geometry, space geometry, constructions and solid geometry.</p><p>LEARNING GOALS:</p><p>1. An understanding of mathematics as a deductive system as evidenced by an ability to formulate logical arguments. 2. The ability to communicate, both in writing and verbally, mathematics and mathematical ideas. 3. Demonstration of pedagogical knowledge specific to mathematics teaching and learning.</p><p>PREREQUISITE: Math 301 or consent of instructor</p><p>TEXTBOOK: Modern Geometries, James R. Smart, 5th edition</p><p>SCHEDULE</p><p>Jan. 16 Orientation</p><p>18 Prerequisites</p><p>23 Introduction</p><p>25 Finite geometries</p><p>28 Four-line geometries</p><p>30 Four-point geometries</p><p>Feb 01 Fano’s geometry</p><p>04 Geometer’s Sketchpad 06 The geometry of Pappus</p><p>08 Review</p><p>11 Test 1</p><p>13 Introduction to transformations</p><p>15 Euclidian motions of the plane</p><p>20 Groups of transformations</p><p>22 Sets of equations for motions of the plane</p><p>25 Computer Graphics</p><p>27 Research</p><p>29 Short Paper</p><p>Mar 10 Review</p><p>12 Test 2</p><p>14 Motions of Three-Space</p><p>17 Fractals</p><p>19 Convex Sets</p><p>24 Supporting Lines</p><p>26 Convex bodies </p><p>28 Convex hulls</p><p>30 Width of a set</p><p>April 02 Review</p><p>04 Test 3</p><p>07 Prepare for presentations</p><p>09 Fundamental Concepts (Student)</p><p>11 Modern Synthetic Geometry 14 Isogonal Conjugates </p><p>16 Golden ratio, tessellations and Pick’s Theorem (Student)</p><p>18 Basic constructions (Student)</p><p>21 Constructible Numbers (Student)</p><p>23 Impossibility proofs</p><p>28 Final Exam (2 p.m.)</p><p>COURSE REQUIREMENTS Group Activities (__ % of grade)</p><p>1. Daily homework -- one set to be turned in by each group or presented by a group member to whole class</p><p>2. Presentation of a section of the textbook to the class.</p><p>Each major grade will be weighted by the average of peer evaluations given for a student by his group members. These evaluations should consider both attendance and group participation. </p><p>Individual Activities (__ % of grade)</p><p>Three Tests and a Final Exam</p><p>ASSESSMENT</p><p>Learning goals 1 and 2 will be assessed by student performance on homework and tests.</p><p>Learning goals 2 and 3 will be measured through student presentations of homework and his/her group’s major teaching lesson.</p><p>A: 95-100 B+: 88-91 C: 75-82 F: Below 65 A-: 92-94 B: 83-87 D: 65-74</p>