Syllabus for Math in Art -- Math 122
Spring 2011

 This syllabus is subject to change! Monday Wednesday Friday 1/24 1/26 Welcome to Math in Art 1/28 Who uses a System of Review Ratio and Proportion Proportion and Why? What is a System of Proportion? Examples of Systems of Proportion 1/31 The Sacred Cut in the 2/2 Developing Standards for Judgment 2/4 More on the Garden Houses of Ostia Garden Houses of Ostia Application of Standards to Some Ancient Examples Common Beliefs about the Golden Ratio PS 0, PS 1 (both individual) due The Mean and Extreme Ratio 2/7 More on the Garden Houses of Ostia 2/9 The Mean and Extreme Ratio 2/11 Golden Ratio in the Ancient World? Common Beliefs about the Golden Ratio From Euclid to the Golden Ratio Pi and Phi in the Great Pyramid In Class Work on Mean and Extreme Ratio PS 2 (group) due Project 2 due 2/14 Similar Figures 2/16 More on similarity 2/18 Ancient Greek questions on gnomons Gnomons From gnomons to the Golden Rectangle PS 3 (individual) due The Golden Rectangle in Art 2/21 Q & A for Exam 1 2/23 Exam 1 2/25 The Golden Rectangle in Art (covers thru PS 4, Gnomonic Growth should be done for Tuesday) Intro to Fibonacci numbers 2/28 Fibonacci numbers 3/2 Intro to 3 dimensional space 3/4 Optical ideas behind perspective Fibonacci Numbers and Phi Plotting in 3d Connecting perspective to 3d plotting Setting the stage for perspective Distance in 3d Developing formulae for perspective images PS 5 (individual) due Project 3 due 3/7 Using formulae for perspective images 3/9 Perspective: observations and conclusions 3/11 Vanishing points Vanishing points PS 6 (group) due Project 4 due 3/14 3/16 3/18 Spring Break 3/21 Finding correct viewing position 3/23 Rules of perspepctive 3/25 Duplicating rectangles in perspective Subdividing rectangles in perspective Developing more perspective techniques PS 7 (individual) due Projects 5 and 6 due 3/28 Q & A for Exam 2 3/30 Exam 2 4/1 Anamorphic Art (covers thru PS 8, should be done for Tuesday) 4/4 Wrapping up some tricky perspective questions 4/6 Intro to Fractals; the Koch snowflake & recursion 4/8 The chaos game The Sierpinski gasket & recursion Symmetry of scale Similarity dimension PS 9 (group) due Project 8 due 4/11 Similarity dimension of 4/13 The Mandelbrot Set 4/15 More on fractals & the Mandelbrot set Koch snowflake & Sierpinski gasket Intro to Complex numbers PS 10 (individual) due Project 7 due 4/18 Examples of fractals in art 4/20 4/22 Thinking about 4 dimensions Patterns in 0D, 1D, 2D, 3D "Cubes" in 0, 1, 2, 3 and 4 dimensions Brief history: popularization of the 4th dimension PS 11 (group) due Projects 9 and 1 due 4/25 Q & A for Exam 3 4/27 Exam 3 4/29 Flatland - The Movie (Covers through PS 12, More on "cubes" in 0, 1, 2, 3, and 4 dimensions should be done for Tuesday) 5/2 Visualizing the Hypercube 5/4 More on visualizing the hypercube 5/6 Overview of non-Euclidean geometry The 4th dimension in art Mini-art show in class Transition to non-Euclidean geometry Evaluations PS 13 (individual) due Projecst 10, 11 and 12 due The final will be Thursday, May 12, from 9am-12pm.

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 101A
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu

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