Syllabus for Math 122: Math in Art
    Spring, 2017

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    This syllabus is subject to change!
    Monday Wednesday Friday
    1/23   1/25 Welcome to Math in Art 1/27 What is a System of Proportion?
          Review Ratio and Proportion   Who uses a System of 
              Proportion and Why?
              Examples
    1/30 The Sacred Cut 2/1 The Sacred Cut, continued 2/3 How Close is Close Enough?
      Example: Garden Houses of    Example: Garden Houses  
      Ostia   PS 1 (individual) due  
      PS 0 (individual) due      
    2/6 Applying Standards 2/8 Acceptance Ranges 2/10 Common Beliefs: Golden Ratio
      Error Ranges   Example: Garden Houses   The Mean and Extreme Ratio
          PS 2 (group) due   From Euclid to the Golden Ratio
    2/13 From Euclid to the Golden Ratio 2/15 Q & A for Exam 1 2/17 Pi and Phi in the Great Pyramids
      Golden Ratio in the Ancient World   Exam 1 (6-8pm, Mars SC 1141) Project 1 due
          Covers thru PS 3  
        Complete PS 3 by classtime  
        PS 3 will not be collected  
    2/20 Pi an Phi in the Great Pyramid 2/22 Gnomons 2/24 From Gnomons to
      Similar Figures   Ancient Questions About   the Golden Rectangle; the
          Gnomons   Golden Rectnangle in Art
          PS 4 (individual) due    
               
    2/27 Gnomonic Growth 3/1 Fibonacci numbers 3/3 Perspective Activity:
      Intro to Fibonacci Numbers   Their Connection to Phi Taping Windows
          History of Perspective Project 2 due
        PS 5 (group) due  
    3/6 Intro to 3 Dimensional space 3/8 Plotting in 3D 3/10 Optical Ideas Behind
      Plotting in 3D   Distance in 3D   Perspective
          PS 6 (individual) due   Perspective;  Connecting
              Perspective to 3d Plotting
              Project 3 due
    3/13   3/15 Spring Break 3/17  
             
    3/20 Review: Perspective Theorem 3/22 Q & A for Exam 2 3/24 More on converting 3D to 2D
      Practice: Using Theorem to   Exam 2  (6-8pm, Mars SC 1141)   Perspective: Observations and
      Convert 3D points to 2D,   Covers thru PS 7   Conclusions
      then use 2D to draw    Complete PS 7 by classtime   Vanishing Points
      Perspective Image   PS 7 will not be collected    
    3/27 y. 3/29 The Vanishing Point Theorem 3/31 Finding the Ideal Viewing
          PS 8 (group) due Position
            Project 4 due
             
    4/3 Rules on Perspective 4/5 Duplicating Rectangles in  4/7 Anamorphic Art
      Subdividing and Duplicating   Perspective.  Developing More   Project 5 due
      Rectangles in Perspective   Perspective Techniques    
          PS 9 (individual) due    
               
    4/10 Intro to Fractals Symmetry of 4/12 Chaos Game; More on  4/14 Intro to Mandelbrot Set
      Scale; Koch Snowflake; Sierpinski   Sierpinski Gasket and Complex Numbers
      Gasket; Recursion   PS 10 (groupl) due Projects 6, 7 due
    4/17 Mandelbrot Set 4/19 Q & A for Exam 3 4/21 Examples of Fractals in World
          Exam 3  (6-8pm, Mars SC 1141)   & in Art.
          Covers thru PS 11   Brief History of the Popularization
          Complete PS 11 by classtime   of the 4th Dimension
          PS 11 will not be collected    
    4/24 What is Flatland? 4/26 Patterns in 0D, 1D, 2D and 3D. 4/28 Visualizing the Hypercube
      Thinking about 4 Dimensions   "Cubes" in 0, 1, 2, 3, & 4D  
          PS 12 (individuall) due Projects 8, 9,10  due
    5/1 The 4th Dimension in Art 5/3 More on Non-Euclidean  5/5 Non-Euclidean Geometry in Art
      Quick Overview of Non-   Geometry   Evaluations
      Euclidean Geometry       PS 13 (group) due
              Projects 11, 12 and 13 due
    The final will be Friday, May 12, 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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