Course:SLU MATH 124: Math and Escher - Fall 2009 - Dr. Anneke Bart
- 1 Course Information
- 2 Homework Assignments
- 3 Schedule
- 3.1 Week 1: Introduction, Symmetry
- 3.2 Week 2: Symmetry, Isometries, and Frieze Patterns
- 3.3 Week 3: Frieze Patterns and Intro to Wallpaper Patterns
- 3.4 Week 4: Wallpaper Patterns
- 3.5 Week 5: Tessellations and Isometries
- 3.6 Week 6: Escher-like Tessellations and Geometer Sketchpad
- 3.7 Week 7: Tessellations with Sketchpad
- 3.8 Week 8: Art Project Assignment and intro to Spherical Geometry
- 3.9 Week 9: Spherical Geometry
- 3.10 Week 10: Spherical Geometry
- 3.11 Week 11: Spherical Geometry
- 3.12 Week 12: Hyperbolic Geometry
- 3.13 Week 13: Hyperbolic Geometry
- 3.14 Week 14: Depth and Perspective
- 3.15 Week 15: Fractals and Impossible Figures
- 3.16 Week 16: Review for Final
- Class Meets: MWF 9:00-9:50 in RH 316
- Anneke Bart (http://math.slu.edu/~bart)
- Office: Ritter Hall 115
- Office Hours: MW 1-2 and Tue 9-10 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: Monday December 14. Time: 8:00 - 9:50. 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.
This tentative schedule will give you some idea of what topics to expect. As the course develops, adjustments will be made if necessary.
Week 1: Introduction, Symmetry
August 24 - 28
- Monday: Introduction to the course; First topic is "Symmetry"
- Wednesday: Do the Symmetry of Stars and Polygons Exploration and Rozette Symmetry Groups with Kali Exploration.
- Friday: Rotational and Reflectional Symmetry in Escher’s Sketches and Symmetry, Escher and Architecture Exploration
Week 2: Symmetry, Isometries, and Frieze Patterns
August 31 - September 4
- Monday: Introduction to Frieze patterns. Do exploration Frieze Marking Exploration and Frieze Names Exploration
- Wednesday: Do Identifying Frieze Patterns Exploration
(Fri September 4 Last day to drop without a "W")
Week 3: Frieze Patterns and Intro to Wallpaper Patterns
September 7 - 11
- Monday: Labor Day: Official University Holiday
Week 4: Wallpaper Patterns
September 14 - 18
Week 5: Tessellations and Isometries
September 21 - 25
Week 6: Escher-like Tessellations and Geometer Sketchpad
September 28 - October 2
Week 7: Tessellations with Sketchpad
October 5 - 9
Week 8: Art Project Assignment and intro to Spherical Geometry
October 12 - 16
(October 12-17 Midterm Exams - Note: we do not necessarily have an exam this week)
Week 9: Spherical Geometry
October 19 - 23
- Monday: Fall Break
Week 10: Spherical Geometry
October 26 - 30
(Fri October 30 Last Day to Withdraw)
Week 11: Spherical Geometry
November 2 - 6
Week 12: Hyperbolic Geometry
November 9 - 13
Week 13: Hyperbolic Geometry
November 16 - 20
Week 14: Depth and Perspective
November 23 - 27
- Wednesday: Thanksgiving: Official University Holiday
- Friday: Thanksgiving: Official University Holiday
Week 15: Fractals and Impossible Figures
November 30 - December 4
Week 16: Review for Final
- Monday December 7: Last Day of Class and Review