Course:SLU MATH 124: Math and Escher - Fall 2010 - Dr. Anneke Bart
- Class Meets: 12:00 - 12:50 MWF in RH 316
- Anneke Bart (http://math.slu.edu/~bart)
- Office: Ritter Hall 115
- Office Hours: TBA or by appointment.
- Email: firstname.lastname@example.org
- Prerequisite: 3 years of high school mathematics or Math 120 (College Algebra).
- Attendance is required. You will have in-class work to be done in groups. One unexcused absence is allowed. Six absences will cause you to lose two letter grades. I only excuse absences when presented with official documentation. Being late twice or leaving early counts as an absence.
- Homework will be due weekly. Your work should be neat, legible, and stapled. Cooperation is good, but write up results separately. Late homework is always accepted, but I will not write comments and will automatically give a score of 5 (out of 10) if the work is of reasonable quality.
- Exams. I give makeup exams only for severe and documented reasons.
- Exam 1: TBA
- Exam 2: TBA
- Final: Place: RH 316
- Grading is on a straight scale, with 90%,80%,70%,60% guaranteeing A,B,C,D.
Grading is weighted as follows:
- Exams: two @15% each
- Homework and in-class work: 20%
- Tessellation Project: 10%
- Cathedral Poster Assignment: 10%
- Final: 30% (the final is comprehensive)
One traditional textbook is required for the course:
- D. Schattschneider, Visions of Symmetry. H. Abrams 2004. (The paperback 1990 edition is also acceptable).
Students are expected to be honest in their academic work, as per the Honesty Policy of the College of Arts & Sciences. Plagiarism, cheating and dishonesty will be reported to the dean and may result in probation, expulsion, or worse.
Homework and Assignments
- First week: Jan. 11-15:
Read Visions of Symmetry pg. 1-15.
Read M.C. Escher, Fundamental Concepts and Introduction_to_Symmetry.
- Due Wednesday, Jan 20:
- Second week: Jan. 18-22:
Read Visions of Symmetry pg. 15-31.
Read Frieze Patterns and Wallpaper Patterns.
- Due Monday, Jan 25:
Plan: We will begin with the studying symmetry: Rotational and reflectional symmetry; Symmetry groups follow: rozette groups, border patters and wallpaper patterns; At this point there will be a field trip to the Cathedral Basilica and a symmetry group project will be assigned; If time permits we will start on the theory of tessellations.
- Week 1: Jan 11-15
- Intro to the course on Monday (with brief powerpoint);
- Worked in groups on on Wednesday - Symmetry of Stars and Polygons Exploration and Rotational and Reflectional Symmetry in Escher’s Sketches. This started our work on symmetry.
- Worked on Rozette Symmetry Groups with Kali Exploration and Symmetry, Escher and Architecture Exploration
- Week 2: Jan 18-22
- Intro to frieze patterns (powerpoint)
Some dates to keep in mind:
- Mon January 11 Classes Begin
- Mon January 18 Martin Luther King Day: Official University Holiday
- Fri January 22 Last day to drop without a "W"
Geometric Tessellations and tessellations by recognizable figures will be covered.
The Tessellation Art Project will be assigned.
Non-Euclidean Geometry: We will start with Spherical geometry, followed by Hyperbolic Geometry.
Some dates to keep in mind:
- Mon-Sat March 1-6 Midterm Exams (There will not necessarily be an exam in Math 124 during this week)
- Sat-Sun March 13-21 SPRING BREAK
- Fri March 19 Last day to withdraw from classes
Non-Euclidean Geometry: We will start with Spherical geometry, followed by Hyperbolic Geometry. (continued)
We will finish the course with one of the special topics: Fractals or Depth and Perspective.
- Thurs April 1 Holy Thursday: No Undergraduate classes
- Fri April 2 Good Friday: Official University Holiday
- Mon April 5 Easter Monday: No Undergraduate Day classes.
- Mon May 3 Classes End