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. | |||||