Physics - Geology 30
Fractals, Chaos and Complexity
Winter Quarter, 2020
John Rundle
Professor of Physics and Geology
At Left: A Map of the Internet
(http://www.caida.org)
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Physics - Geology 30 Fractals, Chaos and Complexity Winter Quarter, 2020 John Rundle Professor of Physics and Geology At Left: A Map of the Internet (http://www.caida.org) |
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Please note that homework
can be turned into Professor Rundle either in class, or at his office in
534B Physics-Geology by 5:00 pm on the due date. |
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Note: The material in the book by Schoeder is more advanced, and is provided The material in the book by Feldman covers many of the same topics but is optional. |
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Week |
Topic |
Reading Assignment Chapter/Section |
Homework/Lab Assignment |
Homework Due Date |
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1 January 6 |
Introduction - Exploring Fractals and Chaos |
Peak & Frame Chapter 1, pg 5-17 Schroeder Chapter 1, 1-25 Parkfield Earthquake Prediction Jennifer Dunne on Interactions Duncan Watts on Common Sense and Complex Systems |
Explore Frame Web Site Frame Web Site: 1 - 1D Homework: Write a paragraph about your previous experience with fractals and chaos |
Friday January 10 |
| 2 January 13 |
Fractals - Fractal Generators & Iterated Function Sets Intro to Probability |
Peak & Frame Chapter 1, pg 18-40 Schroeder Chapter 1, 25-49 Optional: Feldman Chapters 14-15 |
Problems 1 | Wednesday Jan 22 |
| 3 January 20 | Fractals - Cont. Fractal Dimensions |
Peak & Frame Chapter 2, All Begin Chapter 3 Chapter 9 Optional: Feldman Chapter 17 |
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| 4 January 27 |
Fractals, Power Laws, Introduction to Chaos |
Peak & Frame Chapter 3, All Begin Chapter 4
Schroeder Chapter 3 Chapter 10, 211-225 Optional: Feldman Chapter 18 Synchronization of Metronomes |
Problems 2 | Wednesday Feb 5 |
| 5 February 3 |
Chaos
Iterated Maps
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Peak and Frame Chapter 4, 5
Schroeder Chapter 12 pp 268-286 pp 89-294 Optional: Feldman Chapters 1-7 NY Times Article: |
Problems 3 | Wednesday Feb 12 |
| 6 February 10 |
Complex Fractals Mandelbrot Set
Fractal Boundaries Newton's Method
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Peak and Frame Chapter 7 Schroeder Chapter 11, 237-245 Chapter 12, 295-299Optional: Feldman Chapters 20-22 |
+ 1-paragraph description of project - see syllabus for some examples of possible projects |
Friday Feb 21 Homework: |
| 7 February 17 |
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Peak and Frame Schroeder Chapter 17, 371-386 Optional: Feldman Chapters 23-25
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Problems 5 |
Friday February 28 |
| 8 February 24 |
Neural Networks
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Schroeder Optional: Feldman Dan Shiffman on Nature of Code Brittany Wenger on Neural Networks
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Friday March 6 | |
| 9 March 2 |
Information Theory Probability Cluster Growth Percolation |
Example: 100 Prisoners Problem |
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| 10 March 9 |
Financial Forecasting |
NY Times Article on Investing Strategy: Buy at the Close, Sell on the Open Cities and Sustainability Summary & Discussion |
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Course Projects Due by 5:00 pm Monday March 16 Please hand in all outstanding work by Friday March 13 |
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