Course:SLU MATH 124: Math and Escher - Spring 2011 - Dr. Anneke Bart
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General
- Class Meets: TTh 2:15-3:30 in RH 316
- Instructor:
- Anneke Bart
- Office: Ritter Hall 115
- Office Hours: TTh 1-2 or by appointment.
- Email: barta@slu.edu
- Prerequisite: 3 years of high school mathematics or Math 120 (College Algebra).
Grading
- 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
Textbooks
The main text for this course is the Math and the Art of MC Escher online book, at http://math.slu.edu/escher
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.
Schedule
Week | Date | Explorations | Homework | Comments |
---|---|---|---|---|
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.