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Homework |
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Jan. 13-24 |
1.3. |
Read §1.1, §1.2, §1.3. Work Exercises 1.1, 1.4, 1.5, 1.7, 1.8, 1.9, 1.13, 1.16, 1.18, 1.19, 1.20 Hand in due January 17#1.3(a, b(T1), c, d); January 22 #1.6, 1.10; January 24 #1.14, 1.15, 1.17, 1.21 |
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Friday | ||
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SMSG Postulates, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8. |
Read §2.1, §2.2, §2.3, §2.4, §2.5, §2.6, §2.7,
§2.8, and
Appendix A - D. Work Exercises 2.1, 2.2, 2.5, 2.7, 2.8, 2.12, 2.16, 2.18, 2.19,, 2.20, 2.22, 2.23, 2.24, 2.25, 2.26, 2.27, 2.29, 2.34, 2,35, 2,36, 2.37, 2.40, 2.42, 2.43, 2.45, 2.46, 2.48, 2.52, 2.53, 2.54, 2.56, 2.58, 2.60, 2.61, 2.62, 2.63, 2.64,2.65, 2.66, 2.69, 2.70, 2.72, 2.73, 2.77, 2.78, 2.79, 2.80 Hand in Dates: Due February 3 #2.3, 2.4; Due February 5 #2.11, 2.14; Due February 10 #2.17, 2.19(b), 2.25(b); Due February 12 #2.28, 2.30; Due February 14 #2.32, 2.33, 2.38; Due February 17 #2.41, 2.44, 2.47; Due February 19 #2.49(a), 2.50, 2.51; Due February 21 #2.55, 2.57, 2.59; Due February 26 #2.67; #2.68, 2.74; #2.75 |
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Friday | ||
April 2 |
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Read §3.1, §3.2, §3.3, §3.4, §3.5. (Read all
parts though we will focus primarily on the Model subsections.) Work Exercises 3.6, 3.7, 3.8, 3.9, 3.11, 3.12, 3.13, 3.14, 3.15, 3.16, 3.19, 3.20, 3.21, 3.22, 3.23, 3.35, 3.36, 3.37, 3.38, 3.40, 3.41, 3.42, 3.57, 3.58, 3.59, 3.60, 3.61, 3.62, 3.63, 3.64, 3.66, 3.80, 3.81, 3.82, 3.83, 3.84 Investigation Exercises 3.46, 3.47, 3.48, 3.67, 3.68, 3.69, 3.71 Hand in Dates: Due March 10 #3.7, 3.9, 3.12, 3.14, 3.16 Due March 24 #3.21, 3.22, 3.36(a), 3.37, 3.38, 3.42 Due March 28 #3.57, 3.58, 3.59, 3.62, 3.64 Due April 2 #3.80, 3.82, 3.84 |
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April 2 |
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Wednesday | ||
- May 2 |
4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7. |
Read §4.1, §4.2, §4.3, §4.4, §4.5, §4.6, §4.7. Work Exercises 4.1, 4.2, 4.3, 4.5, 4.11, 4.12, 4.13, 4.14, 4.16, 4.17, 4.18, 4.19, 4.21, 4.22, 4.23, 4.24, 4.25, 4.28, 4.29, 4.31, 4.32, 4.33, 4.34, 4.35, 4.37, 4.38, 4.39, 4.40, 4.41, 4.42, 4.43, 4.44, 4.45, 4.46, 4.48, 4.49, 4.50 Hand in Dates: Due April 14 #4.5, 4.11, 4.14(a), 4.18, 4.19; Due April 16 #4.23(a,c), 4.24, 4.25; Due April 28 #4.32(a), 4.33(a), 4.35, 4.39, 4.40; Due May 2 #4.41, 4.42, 4.43, 4.44, 4.45, 4.49, 4.50 |
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May 2 | Exam | Friday | ||
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Presentations |
Paper Due and presentations | ||
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Final |
The final exam due and presentations. 2:00 p.m. Thursday. | ||
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Instructor: Timothy
Peil, Ph. D.
Text: Survey
of Geometry an on-line textbook at
http://web.mnstate.edu/peil/geometry.
Office: MacLean
375 V
Phone: 218-477-2454
Office Hrs: MWF 11:00–11:50; MW 2:00–3:20; TH 10:00–11:50
E-mail: peil@mnstate.edu
Web homepage: http://web.mnstate.edu/peil
Written and Oral Report: Write a report on a geometric topic. Possible topics: topology, fractal geometry, spherical geometry, elliptic geometry, 3-D isometries, plane tilings, frieze and wallpaper patterns, etc. Two people may work together on a project. Each group must have distinct topics. Papers should be written in Microsoft Word and may include Geometers Sketchpad animations. A minimum of two sources must be books from the library. Final reports will be posted on the web. Oral reports should give a summary of the information and have a class activity. Also, groups are encouraged to present at the Student Academic Conference at which the summary could be given, which would allow the in class portion to be just the activity..
GRADES: Grades will be based on
exams, a comprehensive final exam, a project paper and oral report, collected assignments,
quizzes, and class presentations/participation. Grades will be based on the following scale:
A: 90% to 100%
B: 80% to 89%
C: 70% to 79%
D: 60% to 69%
F: Below 60%
GENERAL INFORMATION: The course is a rigorous study of
geometric systems. The course is a survey of geometric
systems in order to fulfill the Minnesota
licensure requirements for geometry. Expectations: Submitted work must
be well organized and written. Each student learns to use the dynamic software
package Geometer's Sketchpad or GeoGebra. Each student learns to write clear concise
proofs. Each student actively participates in class. Students are expected to
use resources from the library.
Resources and tools that are available:
1. Geometer's
Sketchpad is available on computers in the two mathematics computer labs.
2.
Geogebra may be
used from the web.
3. Wingeom may be used. All the Peanut
programs are freeware. Copies of all the Peanut programs may be downloaded
from the web. Click here to
download. the Peanut programs.
4. The fourth floor of the
library has many reference books available.
Makeup exams will be given only in cases of extreme illness, family emergency, or university-approved activities; you must notify me before the exam takes place.
Where and when is class. MWF at 12:00 p.m. in Bridges 268.
Course Description
from the Minnesota State University Moorhead Bulletin.
Math 487 Foundations of
Geometry (3)
Systems of geometry such as Euclidean, non-Euclidean,
coordinate, synthetic, transformational, and projective. Models in geometric
systems. Prerequisite: Math
323, Math 327.
Attendance
Policy and Academic Honesty.
http://web.mnstate.edu/sthandbook/
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