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IDS
123 - A World of Patterns: Mathematics in
Nature and the Arts |
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Spring 2008 |
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Prof. William
Stargard Office Hours: Tuesday 8:30 - 10:00, Wednesday 11:15 - 12:30, and by appointment Haldan 207 731-7070 stargarw@pmc.edu |
Prof. Joan Weinstein
Office Hours: Monday and Wednesday 11:30 - 12:00; Monday 2:30 - 4:00, and by appointment Dane 305 731-7184 weinstej@pmc.edu |
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| 1/16 |
Introduction |
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| 1/21 | Martin Luther King, Jr. Day - no classes | |||
| 1/23 |
Numbers and Measurement How do you use quantitative reasoning? Numbers in art and architecture Number systems |
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| 1/28 |
Numbers and Measurement More about number systems |
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| 1/30 |
Numbers and Measurement The Ancient Maya Maya numeration system |
Assignment 2 | ||
| 2/4 |
QUIZ 1 Numbers and Measurement More about the Maya numeration system |
Assignment 3 | ||
| 2/6 |
Fibonacci numbers Fibonacci rabbits The rise of quantification in the West |
Project 1 - due February 20
Extra Credit Assignment - due February 27 |
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| 2/11 | Number and Ratio | |||
| 2/13 | Number and
Ratio Fibonacci Numbers and Art |
Study questions | ||
| 2/18 | Presidents' Day - no classes | |||
| 2/20 | QUIZ 2 Number and Ratio The Golden Ratio |
Drawing a Golden Spiral | ||
| 2/25 | Number and
Ratio The Golden Section and Golden Rectangle Leonardo's Annunciation Perugino's Madonna and Child |
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| 2/27 | Guest
lecturer, Visual Arts Professor Carole Rabe Perspective |
Part 1 of the midterm - due Wednesday, March 5 | ||
| 3/3 | Painting
and the Golden Section Renaissance Perspective Masaccio, Holy Trinity Masaccio, Holy Trinity (diagram) Alberti - Perspective |
Study questions | ||
| 3/5 | MIDTERM EXAMINATION | |||
| 3/10 | Spring Break | |||
| 3/12 | Spring Break | |||
| 3/17 | Review of the Midterm Exam | |||
| 3/19 | Canons of Proportion | |||
| 3/24 | The Golden Ratio and the Human Body |
Extra Credit Project - due April 2
Mondrian, Composition in Red, Yellow, and Blue Seurat, Bathing at Asnières Piero della Francesca, Baptism of Christ |
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| 3/26 | Guest
lecturer, Music Professor Mahala Beams Mathematics and Music |
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| 3/31 |
Mathematics and Music (includes
homework assignment) Music in the West |
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| 4/2 | QUIZ 3 Introduction to Fractals Handout on Fractals: The Colors of Infinity |
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| 4/7 |
More about Fractals |
Homework: write four measures of music in 4/4 time | ||
| 4/9 |
More about Fractals The Finite State automata |
Homework: write out the results of the sixth fold | ||
| 4/14 |
The Dragon Curve The Koch Curve |
Project 2 - due April 23 Drawing the Dragon Curve Triangle paper Graph paper |
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| 4/16 | Guest lecturer, Biology Professor Susan Bear |
In-class
response Study questions |
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| 4/21 |
R. Buckminster Fuller and the
Geodesic Dome Quiz on Fractals |
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| 4/23 | Mathematics in Nature and Science | More study questions | ||
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Final Examination Tuesday, April 29 1 - 3 pm STC 102 |