Course:SLU MATH 124: Math and Escher - Fall 2010 - Philip Huling
- 1 Course Information
- 2 Schedule
- 2.1 Week 1: Introduction, Symmetry
- 2.2 Week 2: Symmetry, Isometries, and Frieze Patterns
- 2.3 Week 3: Frieze Patterns and Intro to Wallpaper Patterns
- 2.4 Week 4: Wallpaper Patterns
- 2.5 Week 5: Tessellations and Isometries
- 2.6 Week 6: Escher-like Tessellations and GeoGebra
- 2.7 Week 7: Introduction to Spherical Geometry
- 2.8 Week 8: Art Project Assignment and Spherical Geometry
- 2.9 Week 9: Spherical Geometry
- 2.10 Week 10: Spherical Geometry
- 2.11 Week 11: Spherical Geometry
- 2.12 Week 12: Hyperbolic Geometry
- 2.13 Week 13: Hyperbolic Geometry
- 2.14 Week 14: TBD
- 2.15 Week 15: TBD
- 2.16 Week 16: Review for Final
- Class Meets: MWF 9:00-9:50 PM in RH 225
- Dr. Philip Huling
- Office: RH 23
- Office Hours: MWF 10:00 am – 10:50 am and Noon – 12:50 pm or by appointment.
- Email: firstname.lastname@example.org
- Prerequisite: 3 years of high school mathematics or Math 120 (College Algebra).
- Attendance. Attendance is required. You will have in-class work to be done in groups. Two unexcused absences are allowed. The next unexcused absence will result in a 1% drop of your Attendance and in-class work grade. The following unexcused absence will result in a 2% drop, 3% drop after that, and so on. I only excuse absences when presented with official documentation. Also, any in class work done on a day of unexcused absence will be given a zero.
- Homework/Quizzes. There will be problems attached to many, if not all, of the explorations. These will never be turned in, but will be used as part of an open note quiz given every other Friday. It is the expectation that the student will go over their explorations regularly to thoroughly understand the material outside of class. The quizzes will be made up of questions from the explorations, but complete sentences and thorough answers will be required. There will also be additional homework sets assigned periodically. All turned in homework must be either typed or neatly written up. Any spiral edges must be removed and pages must be stapled if there are more than 1. It is expected that you start the homeworks early enough to ask questions and spend enough time working on them to give sufficient answers.
- Exams. There will be 2 exams given throughout the semester. If you miss an exam, you will be given a 0 unless you can give strong written evidence, documenting an unavoidable emergency, presented within 24 hours of the start of the exam. PLEASE email me or have someone else email me as soon as possible if such an emergency arises. In such a situation, your grade on the final would be used to fill in the missing exam score.
- Exam 1: TBA
- Exam 2: TBA
- Final: Monday December 13th, 2010 from 8:00 AM until 9:50 PM in RH 225
- Grading is on a straight scale, with 90%,80%,70%,60% guaranteeing A,B,C,D.
Grading is weighted as follows:
- Homework/Quizzes: 30%
- Attendance and participation: 10%
- Projects: two @15% each
- Exams: three @10% each
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 23 - 27
- 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 30 - September 3
- Monday: Rosette Group recap & Introduction to Frieze patterns. Do exploration Frieze Marking Exploration. This is mainly a review of what we covered today.
- Wednesday: Do Frieze Names Exploration and Identifying Frieze Patterns Exploration.
- Friday: Quiz #1 then Frieze and Rosette Group Scavenger Hunt.
On Monday Homework #1 is due: Do Rosette Exercises # 1-5, 7-12, 14, 16 (omit 9a-c)
By Wednesday: Read Frieze Patterns
(Fri September 3 Last day to drop without a "W")
Week 3: Frieze Patterns and Intro to Wallpaper Patterns
September 6 - 10
- Monday: Labor Day: Official University Holiday
- Wednesday: Homework #1 review and Wallpaper Introduction
On Friday Homework #2 is due: Do Homework #2 distributed via email.
Note: Problem 4 will be discussed in class on Wednesday.
Week 4: Wallpaper Patterns
September 13 - 17
- Monday: Wallpaper Group Scavenger Hunt
- Wednesday: Tessellations, a first look Exploration
- Friday Night: Class Field Trip to City Museum
Week 5: Tessellations and Isometries
September 20 - 24
Week 6: Escher-like Tessellations and GeoGebra
September 27 - October 1
- Wednesday: Quadrilateral Tessellations with GeoGebra Also, use GeoGebra to construct an "equilateral triangle", "square", "kite", "rhombus", and "parallelogram." Email one file with all of them to the instructor by Monday October 4th.
City Museum Poster is due Monday September 27th
Week 7: Introduction to Spherical Geometry
October 4 - 8
- Monday: Review for Exam 1.
Homework #3 is due on Monday October 4th
Exam #1 is on Wednesday October 6th
Friday: Rough sketches for art project due
Week 8: Art Project Assignment and Spherical Geometry
October 11 - 15
For Monday: Read Introduction to Non-Euclidean Geometry
Friday: Rough draft of art project due
(October 11-15 Midterm Exams - Note: we do not necessarily have an exam this week)
Week 9: Spherical Geometry
October 18 - 22
- Monday: Fall Break: No Class
Friday: Art project due
Week 10: Spherical Geometry
October 25 - 29
(Fri October 30 Last Day to Withdraw)
Week 11: Spherical Geometry
November 1 - 5
Week 12: Hyperbolic Geometry
November 8 - 12
Week 13: Hyperbolic Geometry
November 15 - 19
Week 14: TBD
November 22 - 26
- Wednesday: Thanksgiving Break: No Class
- Friday: Thanksgiving Break: No Class
Week 15: TBD
November 29 - December 3
Week 16: Review for Final
- Monday December 7: Last Day of Class and Review