Syllabus for Math 122: Math in Art
    Fall 2012
    (Last modified: Tuesday, November 13, 2012, 10:24 AM )


    This syllabus is subject to change!
    Monday Wednesday Friday
    8/27   8/29 Welcome to Math in Art 8/31 What is a System of Proportion?
          Review Ratio and Proportion   Who uses a System of
              Proportion and Why?
              Examples
    9/3 Labor Day Break 9/5 The Sacred Cut 9/7 How Close is Close Enough?
        Example: Garden Houses of Developing Standards for
        Ostia Judgment
           
        PS 0 (individual) due PS 1 (individual) due
    9/10 Developing Standards for 9/12 Wrapping up the Garden Houses 9/14 The Mean and Extreme Ratio
      Judgment; Applying Standards   of Ostia   From Euclid to the Golden Ratio
      Example: Garden Houses   Common Beliefs about the    
          Golden Ratio    
               
          PS 2 (group) due    
    9/17 Golden Ratio in the Ancient 9/19 Pi and Phi in the Great Pyramid 9/21 More on Similarity
      World? Pi and Phi in the   Similar Figures Gnomons
      Great Pyramid of Giza      
        PS 3 (individual) due Project 2 due
    9/24 More on Gnomons; Ancient 9/26 The Golden Rectangle in Art 9/28 Fibonacci Numbers
      Questions about Gnomons.   Gnomonic Growth   Fibonacci Numbers and Phi
      From Gnomons to the Golden   Intro to Fibonacci Numbers    
      Rectangle        
          PS 4 (group) due    
    10/1 Perspective Activity: 10/3 Q & A for Exam 1 10/5 History of Perspective
      Taping Windows     Intro to 3 Dimensional Space
        Exam 1 (6-9pm) Plotting in 3D
        Covers thru PS 5  
        PS 5 is not due Project 3 due
    10/8 Fall Break 10/10 More on Plotting in 3D: 10/12 Plotting in 3D
        Plotting the Classroom   Distance in 3D
        Distance in 3D   Optical Ideas Behind
            Perspective
            PS 6 (group) due
            Project 4 due
    10/15 Perspective; Connecting 10/17 Using Formulae for 10/19 Perspective: Observations and
      Perspective to 3d Plotting   Perspective Images to Convert Conclusions
      Developing Formulae for   3D to 2D Vanishing Points
      Perspective Images   Observations  
          PS 7 (individual) due  
    10/22 Lots More on Vanishing Points 10/24 The Vanishing Point Theorem 10/26 Finding the Correct Viewing
              Position
          PS 8 (group) due   Project 5 due
    10/29 Class Cancelled 10/31 Rules on Perspective 11/2 Duplicating Rectangles in
      (Hurricane Sandy)   Subdividing and Duplicating Perspective. Developing More
          Rectangles in Perspective Perspective Techniques
      Postponed:      
      Q & A for Exam 2   New:  
      Postponed:   PS 9 due Thursday, 3pm  
      Exam 2: Tues 6-9pm      
      Postponed:      
      Complete PS 9 by Monday      
    11/5 Anamorphic Art 11/7 Intro to Fractals; Symmetry 11/9 Chaos Game
      Sunday 4-5pm   Scale; the Koch Snowflake   More on Sierpinski Gasket
      Q & A for Exam 2   the Sierpinski Gasket   Similarity Dimension (?)
      Tuesday: 5-8pm   Recursion    
      Exam 2   Changed:    
      Complete PS 10 by Monday   PS 10 (group) NOT due   Project 6 due
    11/12 Similarity Dimension 11/14 Intro to the Mandelbrot Set 11/16 Mandelbrot Set
        & Complex Numbers  
        PS 11 (individual) due Projects 7 & 8 due
    11/19 Examples of Fractals in World 11/21   11/23  
      & in Art        
      Brief History: the Popularization        
      of the 4th Dimension        
      What is Flatland?        
      Patterns in 0D, 1D, 2D, 3D Thanksgiving Break
      PS 12 (group) due
      Tuesday at noon
    11/26 Thinking about 4 Dimensions 11/28 Q & A for Exam 3 11/30 Flatland - The Movie
      "Cubes" in 0, 1, 2, 3 & 4D     More on "Cubes" in 0, 1, 2, 3,
        Exam 3 (6-9pm) and 4 Dimensions
        Covers through PS 13  
      Complete PS 13 by Tuesday     Projects 9 & 1 due
    12/3 Visualizing the Hypercube 12/5 More on Visualizing the 12/7 The 4th Dimension in Art
          Hypercube   Quick Overview of Non-
              Euclidean Geometry in Art
              Mini Art Show, in Class?
              Evaluations
               
              PS 14 (individual) due
              Projects 10, 11 and 12 due
    The final will be Wednesday, December 12, from 2pm-5pm.

    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
    jsklensk@wheatonma.edu

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