Syllabus for Math 122: Math in Art
Spring, 2015

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 This syllabus is subject to change! Monday Wednesday Friday 1/19 1/21 Welcome to Math in Art 1/23 What is a System of Proportion? Review Ratio and Proportion Who uses a System of Proportion and Why? Examples 1/26 The Sacred Cut 1/28 1/30 Example: Garden Houses Example: Garden Houses of Snow Day How Close is Close Enough? Ostia Standards for Judging PS 0 (individual) due PS 1 (individual) due 2/2 2/4 Judging if Close Enough 2/6 Acceptance Ranges Snow Day Applying Standards Example: Garden Houses PS 2 (group) due 2/9 2/11 Q & A for Exam 1 2/13 Common Belieifs about Snow Day Exam 1 (6-8pm, Mars SC 1141) the Golden Ratio Covers thru PS 3 The Mean and Extreme Ratio Complete PS 3 by classtime From Euclid to the Golden Ratio PS 3 will not be collected Project 1 due 2/16 Golden Ratio in the Ancient 2/18 Pi and Phi in the Great Pyramids 2/20 More on Similarity World; Pi and Phi in the Similar Figures Gnomons Great Pyramids of Giza PS 4 (individual) due 2/23 Ancient Questions About 2/25 Gnomonic Growth 2/27 More on Fibonacci Numbers Gnomons; From Gnomons to Intro to Fibonacci Numbers and Phi the Golden Rectangle; the Fibonacci Numbers and Phi History of Perspective Golden Rectnangle in Art 2:00 - Perspective Activity Taping Windows PS 5 (group) due Project 2 due 3/2 Intro to 3 Dimensional Space 3/4 More on plotting in 3D 3/6 Perspective;  Connecting Plotting in 3D Distance in 3D Perspective to 3d Plotting Optical Ideas Behind Developing Formulae for Perspective Perspective Images PS 6 (individual) due Project 3 due 3/9 3/11 Spring Break 3/13 3/16 Using Formulae for 3/18 Q & A for Exam 2 3/20 Perspective: Observations and Perspective Images to Convert Exam 2 (6-8pm, Mars SC 1141) Conclusions 3D to 2D Covers thru PS 7 Observations Complete PS 7 by classtime PS 7 will not be collected 3/23 Vanishing Points 3/25 The Vanishing Point Theorem 3/27 Finding the Ideal Viewing Position PS 8 (group) due Projects 4, 5 due 3/30 Rules on Perspective 4/1 Duplicating Rectangles in 4/3 Anamorphic Art Subdividing and Duplicating Perspective.  Developing More Rectangles in Perspective Perspective Techniques Rectangles in Perspective PS 9 (individual) due 4/6 Intro to Fractals; Symmetry 4/8 Chaos Game 4/10 Similarity Dimension Scale; the Koch Snowflake; More on Sierpinski Gasket the Sierpinski Gasket; Similarity Dimension (?) Recursion PS 10 (groupl) due 4/13 Intro to the Mandelbrot Set 4/15 Q & A for Exam 3 4/17 Mandelbrot Set & Complex Numbers Exam 3 (6-8pm, Mars SC 1141) Covers thru PS 11 Complete PS 11 by classtime PS 11 will not be collected Projects 6, 7 due 4/20 Examples of Fractals in World 4/22 What is Flatland? 4/24 Patterns in 0D, 1D, 2D and 3D. & in Art Thinking about 4 Dimensions "Cubes" in 0, 1, 2, 3, & 4D Brief History: the Popularization of the 4th Dimension PS 12 (individuall) due Projects 8, 9,10  due 4/27 Visualizing the Hypercube 4/29 The 4th Dimension in Art 5/1 Non-Euclidean Geometry Quick Overview of Non- in Art Euclidean Geometry Evaluations PS 13 (group) due Projects 11, 12 and 13 due The final will be Monday, May 4, from 9am-12pm.

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 1306
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
sklensky_janice@wheatoncollege.edu

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