Course:SLU MATH 124: Math and Escher - Spring 2011 - Dr. Anneke Bart
- Class Meets: TTh 2:15-3:30 in RH 316
- Anneke Bart
- Office: Ritter Hall 115
- Office Hours: TTh 1-2 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.
- 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:
- Exam 2:
- Final: Thursday May 12, 2:00-3:50
- Grading is on a straight scale, with 90%,80%,70%,60% guaranteeing A,B,C,D.
Grading is weighted as follows (a total of 1200 points):
- Homework: 200 points
- Attendance and in-class work: 200 points
- Projects (2): 100 points each
- Exams(2): 150 points each
- Final: 300 points
Also required for the course is D. Schattschneider, Visions of Symmetry. H. Abrams 2004, available at the university bookstore. The paperback 1990 edition is also acceptable.
|1||Jan 18-20|| 1) Symmetric Figures Exploration |
2) Symmetry of Stars and Polygons Exploration
3) Symmetry in Escher's Work
| Read M.C. Escher and Introduction to Symmetry |
Homework Rosette Exercises nrs 2-6,8,10,11,14,18 (Due Tue Jan 25)
|The goal for this week is to understand the classification of rosette symmetries.|
|2||Jan 25-27||1) Symmetry, Escher and Architecture Exploration |
2) Frieze Group Exploration
3) Identifying Frieze Patterns Exploration
| In Frieze Exercises do problems 1, 4, 6, 7, 8, 9 |
(Due Tue Feb 1)
|This week we finish the rosette symmetry section and start on frieze groups (also known as border patterns).|
|3||Feb 1-3|| 1) Wallpaper Exploration |
2) Wallpaper Symmetry Exploration
|Read Frieze Patterns and Wallpaper Patterns.||Tuesday class canceled due to inclement weather.|
|4||Feb 8-10||1) Tessellations, a first look Exploration |
Tessellation Exploration: The Basics
|Read Introduction to Tessellations and Tessellations by Polygons|
|5||Feb 15-17|| 1) Triangular Tessellations with GeoGebra |
2) Quadrilateral Tessellations with GeoGebra
|Homework for the Introduction to Tessellations handed out (due next Tuesday)||Discuss the worksheets from last week. Some important results we have seen: * There are 3 regular tessellations (we will prove this later) * All parallelograms tessellate (and hence all squares and rectangles) * All triangles tessellate|
|6||Feb 22-24|| 1) Angles of Polygons and Regular Tessellations Exploration |
2) Polyominoes Exploration
3) Escher-Like Tessellations Explorations
|Read Tessellations by Recognizable Figures||Thursday: Short reading quiz on Tessellations by Recognizable Figures|
|7||Mar 1-3||1)Tessellation Art Project||Read Introduction to Non-Euclidean Geometry|| Tuesday: we will start on the Art Project. |
Thursday: Exam I
|8||Mar 8-10||1) Spherical Easel Exploration |
2) Spherical Geometry: Polygons
3) Regular Spherical Tessellations Exploration
|Read Spherical Geometry||This is officially Midterm week, but there are no exams in MATH 124 this week. I may give a reading quiz.|
|9||Mar 15-17||No Class'||Spring Break Midterm grades due March 15.|
|10||Mar 22-24||1) Polygons in Spherical and Euclidean Geometry Exploration||Tessellation Art Project Due on Thursday.|
|11||Mar 29-31|| 1) Euler Characteristic Exploration |
2) Platonic Solids Exploration
|Spherical Geometry homework is due.||Introduction to Hyperbolic Geometry|
|12||Apr 5-7||1) Escher's Circle Limit Exploration |
2) Hyperbolic Paper Exploration
3) Hyperbolic Geometry Exploration
|Read Hyperbolic Geometry|
|13||Apr 12-14|| 1) Start on Hyperbolic Homework |
2) Perspective Exploration
|Introduction to Depth and Perspective|
|14||Apr 19-21|| 1) Flatness Exploration |
2) Impossible Figures and Escher Exploration
|Read Depth and Perspective||No class on Holy Thursday|
|15||Apr 26-28||No explorations this week|| Introduction to Egyptian Mathematics: History and Numbers, The Mathematical Papyri, and The Pyramids |
Exam 2 on Thursday April 28
|16||May 3-5||1. Egyptian Numbers Exploration|| Introduction to The Fourth Dimension |
Showed a video of Dr Tom Banchoff speaking about Dali and the fourth dimension.
- Copy of a previous Final This is a copy of the old final. Your final will of course look different, but this gives you some idea of the types of questions.