Syllabus and Schedule for Math 487

Any student with disabilities or other special needs are encouraged to share these concerns or requests as soon as possible.

The schedule of assignments and sections covered may be modified,
but the time spent on topics and date of exams will not change.

Day/s
 
Section/s
  

                 Homework

Jan.
13-
24
 
1.1, 1.2,
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
24
 
Quiz
  Friday
Jan. 27-Feb. 28
 

 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
Feb. 28
 
Exam
  Friday
March 3 -
April 2
 
3.1, 3.2, 3.3, 3.4, 3.5.
  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
April 2  
Exam
  Wednesday
April 4
 -
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
May 2   Exam   Friday
May 5
 

Presentations

  Paper Due and presentations
May 8
 

Final

  The final exam due and presentations. 2:00 p.m. Thursday.
   
 
   

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 geometryExpectations: 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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