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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