Difference between revisions of "Course:SLU MATH 1240: Math and Escher - Fall 2015 - Dr. Anneke Bart"

From EscherMath
Jump to navigationJump to search
 
(25 intermediate revisions by the same user not shown)
Line 76: Line 76:
 
** Homework: from [[Rosette Exercises]] do # 6, 7, 8, 13, 19 and from [[Frieze Exercises]] do # 1, 3, 6
 
** Homework: from [[Rosette Exercises]] do # 6, 7, 8, 13, 19 and from [[Frieze Exercises]] do # 1, 3, 6
  
==='''Week 3 (Sep 9 - 11)'''===
+
==='''Week 3 (Sep 7 - 11)'''===
* Moday: Labor Day Holiday
+
* Monday: Labor Day Holiday
 
* Wednesday: Do [[Frieze Group Exploration]] and [[Frieze Names Exploration]] problems 1 and 2.
 
* Wednesday: Do [[Frieze Group Exploration]] and [[Frieze Names Exploration]] problems 1 and 2.
 +
* Friday: Due today are
 +
** [[Identifying Frieze Patterns Exploration]]
 +
** [[Rosette Exercises]] do # 6, 7, 8, 13, 19 and from [[Frieze Exercises]] do # 1, 3, 6
 +
** [[Frieze Group Exploration]]
 +
* Friday we will do [[Frieze Names Exploration]] problems 1 and 2 (left from last period) and  start on [[Wallpaper Patterns]]
 +
** Homework 2 is assigned: [[Rosette Exercises]] # 10, 12, 13 [[Frieze Exercises]] # 7, 8, 9 [[Wallpaper Exercises]] # 1 (due Monday)
 +
 +
==='''Week 4 (Sep 14 - 18)'''===
 +
* Monday
 +
** '''''Homework 2 is due''''': [[Rosette Exercises]] # 10, 12, 13 [[Frieze Exercises]] # 7, 8, 9 [[Wallpaper Exercises]] # 1
 +
** Go over Tessellations
 +
* Wednesday: Polygonal tessellations. Discuss why all parallelograms tesselate the plane, why do all triangles tessellate the plane, etc.
 +
* Friday: [[Polyominoes Exploration]]
 +
 +
==='''Week 5 (Sep 21 - 25)'''===
 +
 +
* Monday: [[Angles of Polygons and Regular Tessellations Exploration]]
 +
* Wednesday: Tessellations by Recognizable Figures (see handout). Based on this page: [[Escher-Like Tessellations Explorations]]
 +
* Friday: [[Islamic Patterns Exploration]]
 +
** Homework Polygonal Tessellations is due.
 +
 +
==='''Week 6 (Sep 28 - Oct 2)'''===
 +
 +
* Monday: Read the section on [[Tessellations by Recognizable Figures]]
 +
* Wednesday: Power outage - Class cancelled.
 +
* Friday: Explore the regular and semi-regular tessellations on the Sphere. We used Kaleidotile.
 +
 +
==='''Week 7 (Oct 5 - Oct 9)'''===
 +
* Monday:
 +
** Short lecture on angle defects and fraction of a sphere covered by triangles. 
 +
** [[Spherical Triangles Exploration]]
 +
* Wednesday:
 +
** '''Tessellation project is due'''
 +
**  [[Spherical Geometry Exploration]]
 +
* Friday:
 +
** [[Spherical Easel Exploration]]
 +
** '''[[Reading assignment spherical geometry - Part 2]] is due.'''
 +
** '''Homework Spherical geometry due: From [[Spherical Geometry Exercises]] # 3, 8, 11, 20, 22'''
 +
 +
==='''Week 8 (Oct 12 - Oct 16)'''===
 +
* Monday:  [[Platonic Solids Exploration]]
 +
* Wednesday: '''Exam 1 On general tessellations and topics covered in Spherical geometry.'''
 +
* Friday: [[Euler Characteristic Exploration]]
 +
 +
==='''Week 8 (Oct 19 - Oct 23)'''===
 +
* Monday: '''Fall Break - no class'''
 +
 +
 +
==='''Week 9 (Oct 26 - Oct 30)'''===
 +
* Hyperbolic Geometry
 +
 +
==='''Week 10 (Nov 2- Nov 6)'''===
 +
* Hyperbolic Geometry - homework (due Monday Nov 9)
 +
* '''Read [[Similarity Transformations]]'''; The '''[[Reading Assignment for Similarity Transformations]]''' is due at the beginning of class Wednesday.
 +
* Do the [[Dilation Exploration]] and [[Iteration Exploration]] (Wednesday)
 +
* '''Read [[Fractals]]''' The '''[[Reading Assignment for Fractals]]''' is due at the beginning of class Friday.
 +
* Do '''[[Self-Similarity Exploration]]''' about Escher and Dali's use of self-similarity and '''[[Escher Fractal Exploration]]''' about Iterations and fractals based on some Escher sketches.
 +
 +
==='''Week 11 (Nov 9- Nov 13)'''===
 +
* Hyperbolic Geometry homework due Monday Nov 9
 +
* Do [[Iterative Fractals Exploration II]] about Sierpinski Triangle, Koch Snowflake, etc.(Monday)
 +
* Do [[Fractal Dimension Exploration]]: Computing the dimension of a fractal. (Wednesday)
 +
* '''Exam 2 on Spherical and Hyperbolic Geometry and Self similarity.'''
 +
 +
==='''Week 12 (Nov 16- Nov 20)'''===
 +
* Read [[Depth and Perspective]]
 +
* Do [[Depth Exploration]] and [[Perspective Exploration]] (Monday)
 +
* Do [[Flatness Exploration]] (Wednesday)
 +
* Do '''Exam II  (Friday) Postponed from last week'''
 +
 +
==='''Week 13 (Nov 23- Nov 27)'''===
 +
* Read [[The Fourth Dimension]]
 +
* Do [[Dimensions Exploration]] (Monday)
 +
* Thanksgiving Holiday Wednesday - Friday
 +
 +
==='''Week 14 (Nov 30- Dec 4)'''===
 +
* Read Flatland
 +
* Read [[The Mobius Band and Other Surfaces]]
 +
* Read [[History and Numbers]]
 +
 +
* Do [[Möbius Strip Exploration]] (Monday)
 +
* Discuss Egyptian math from reading and Wiki and do [[Egyptian Numbers Exploration]] (Wednesday)
 +
 +
==='''Week 15 (Dec 7)'''===
 +
* Read [[The Mathematical Papyri]]
 +
* Do [[Egyptian Geometry Exploration]]

Latest revision as of 12:17, 2 December 2015

General Information

Class Time: 1:10 - 2:00 pm Monday, Wednesday, Friday

Where: TBD

Contact Information:Office: Ritter Hall 227 • Email: barta@slu.edu • Phone: (314) 977-2852 (I prefer email!)

Books:

  • M.C. Escher: Visions of Symmetry by D. Schattschneider. W.H. Freeman and Company (1990)


Prerequisite: A Math Index greater than or equal to 750 or a course at the level of College Algebra.


Course Goals

  1. Develop an intuitive understanding of geometry by looking at examples and applications in art (mainly Escher’s work, but also some other modern artists).
  2. Develop a thorough understanding of the concepts and techniques of geometry.
  3. Further develop the ability to apply your knowledge of geometry to solve unfamiliar problems.
  4. (Further) develop skills for working effectively with others on mathematics problems.


Grading:

  • Two exam – 10% each
  • Projects Portfolio – 20%
    • Basilica Cathedral Fieldtrip
    • 3 small creative projects based on the material for border patterns, wallpaper patterns, and non-Euclidean geometry.
    • Saint Louis Museum Fieldtrip
  • Homework and in-class work – 30% (Attendance is considered part of your in-class grade.)
  • Final – 30%

Final:

  • The schedule for all your final exams can be found online: final exam schedule
  • For this course the Final is on Friday December 11 from 12 pm until 1:50 pm.

Grades: Grades are determined by your mastery of the material. The following cut-offs are the standard grades for mathematics courses. 93-100 A, 89-92 A-, 86-88 B+, 82-85 B, 80-81 B- 77-79 C+, 70-76 C, 60-69 D, 0-59 F


Curve: I do not technically grade on a curve, but your work will of course be compared to that of your classmates, and even to students who have taken the class before you. To give an example: when evaluating answers that require an explanation, I will collect all the answers I consider “A-level” and then rank them. If the question is worth 20 points, an A is somewhere between 18 and 20 points. The best answers will receive 20 points, the next best group will receive 19 points, and the others 18. They are all awarded an A, but the best answers receive a few more points. If someone writes answers that are truly excellent, then I will award extra credit.

How to do well: Attendance and participation is extremely important. Missing class regularly causes students quite a bit of trouble. It is very hard to make up this material on ones own.


Further Information: See complete Syllabus.

Schedule, Assignments, etc.

Week 1 (Aug 24-28)

Week 2 (Aug 31-Sep 4)

Week 3 (Sep 7 - 11)

Week 4 (Sep 14 - 18)

Week 5 (Sep 21 - 25)

Week 6 (Sep 28 - Oct 2)

  • Monday: Read the section on Tessellations by Recognizable Figures
  • Wednesday: Power outage - Class cancelled.
  • Friday: Explore the regular and semi-regular tessellations on the Sphere. We used Kaleidotile.

Week 7 (Oct 5 - Oct 9)

Week 8 (Oct 12 - Oct 16)

Week 8 (Oct 19 - Oct 23)

  • Monday: Fall Break - no class


Week 9 (Oct 26 - Oct 30)

  • Hyperbolic Geometry

Week 10 (Nov 2- Nov 6)

Week 11 (Nov 9- Nov 13)

Week 12 (Nov 16- Nov 20)

Week 13 (Nov 23- Nov 27)

Week 14 (Nov 30- Dec 4)

Week 15 (Dec 7)