SECTION 01, 3 CREDIT HOURS, Fall, 2003
Tuesday and Thursday, 9:40-11:10am
INSTRUCTOR: Dr. Carol Lawrence
OFFICE 114, Braswell
OFFICE HOURS MWF 9:30-10:30am, TTH 2:30-3:30pm or by
appointment
OFFICE PHONE 985-5183
BUILDING AND ROOM PC 272
WEB SITE
http://faculty.ncwc.edu/clawrence/
EMAIL clawrence@ncwc.edu
TEXT: Modern Geometries, Fifth Edition, James R. Smart, Brooks/Cole, 1998.
COURSE DESCRIPTION: Euclidean and non-Euclidean geometry, synthetic approach to Euclidean plane geometry, use of Euclidean geometry including volumes and surface areas, significance of the parallel postulate, analytic methods, introductory transformational geometry, and geometric models.
OBJECTIVES OF THE COURSE: In general, the course is designed to extend the student’s knowledge of geometry to include various geometries in addition to selected topics from plane Euclidean geometry. This course will provide students with experience working with axiomatic mathematical systems.
TEACHING METHODS: Concepts will be presented by methods of lecture, group discussion and exercises requiring geometric reasoning. Opportunities for group and individual problem solving, reasoning and communication will be provided. Instructor/student and student/student interaction is encouraged.
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GRADING: |
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Problem Sets |
20% |
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Chapter Tests |
60% |
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Final Exam |
20% |
No make-up tests will be given for unexcused absences. All problem sets will be assigned a due date. Problem sets turned in late will be lowered by one letter grade per class day late. It is okay for the student to develop ideas for "individual" problems in the Problem Sets. However, the student’s "write-up" of all problems in the Problem Set must be done individually. (See the College policy for Cheating and Plagiarism discussed below.)
LATE ASSIGNMENTS: Any assignment turned in past the specified due date and time will receive a grade lowered by one letter grade per each school day late.
ATTENDANCE: Class attendance is mandatory. If you accumulate three (3) absences, you will be required to schedule an appointment with me to discuss the reason behind your excessive absences. If you accumulate more than 3 absences, the professor reserves the right to withdraw the student from this course. (Read page 76 of the College 2002-2003 Catalogue.)
FINAL EXAM Thursday, December 11, 9:00-11:00am
CHEATING AND PLAGIARISM: A scholar is characterized by his/her honesty and fairness. Therefore, a scholar neither gives nor receives "information illicitly with intent to deceive the instructor in his or her effort to grade fairly any academic work" (NCWC 2002-2003 Catalog, p. 79). Also, a scholar does not take credit for someone's work without giving credit to the creator. The violation of these principles is academic dishonesty and will not be tolerated. The instructor will adhere strictly to the plagiarism and cheating policy as stated in the catalog (2002-2003) on pages 78-79.
STUDENTS WITH DISABILITIES: Students with disabilities who believe that they may need accommodations in this class are encouraged to contact the Office of Disability Support Services (DSS) at 985-5269 as soon as possible to coordinate and implement accommodations in a timely fashion. The Office of DSS is located in the Student Support Center, PC 188.
MATH 325: GEOMETRY
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DATE |
CHAPTER /SECTION |
TOPIC |
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8/26 |
1.1 |
Introduction to Geometry |
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8/28 |
1.2 |
Development of Modern Geometries |
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1.2 |
Continued |
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1.3 |
Introduction to Finite Geometries |
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9/2 |
1.4 |
Four-Line and Four-Point Geometries |
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9/4 |
1.5 |
Finite Geometries of Fano and Young |
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9/9 |
1.6 |
Finite Geometries of Pappus and Desargues |
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9/11 |
1.7 |
Other Finite Geometries |
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9/16 |
Test on Chapter 1 |
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9/18 |
2.1 |
Introduction to Transformations |
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2.2 |
Groups of Transformations |
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9/23 |
2.2 |
Continued |
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9/25 |
2.3 |
Euclidean Motions of the Plane |
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9/30 |
2.4 |
Sets of Equations for Motions of the Plane |
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2.5 |
Applications of Transformations in Computer Graphics |
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10/2 |
2.9 |
Introduction to the Geometry of Fractals and Fractal Dimension |
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10/7 |
3.1 |
Basic Concepts of Convexity |
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3.2 |
Convex Sets and Supporting Lines |
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10/9 |
3.2 |
Continued |
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3.3 |
Convex Bodies in Two-Space |
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10/14 |
Test on Chapters 2 and 3 |
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10/21 |
4.1 |
Modern Euclidean Geometry Fundamental Concepts and Theorem |
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10/23 |
4.2 |
Some Theorems Leading to Modern Synthetic Geometry |
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10/28 |
4.3 |
The Nine-Point Circle |
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10/30 |
4.6 |
Golden Ratio, Tessellations Packing Problems, and Pick’s Theorem |
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11/6 |
4.6/4.7 |
Continued/Heron’s Theorem |
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11/11 |
Test on Chapter 4 |
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11/13 |
9.1 |
Foundations of Euclidean and Non-Euclidean Geometries, Taxicab Geometry |
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9.2 |
Introduction to Hyperbolic Geometry |
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11/18 |
9.2 |
Continued |
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11/20 |
9.7 |
Elliptic Geometry |
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11/25 |
Other selected Modern Geometries |
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12/2 |
Review for Final Exam |