Advanced Mathematical Perspectives 1
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| Lecture 01 | ![slides [PDF]](images/slides.jpg) |
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Introduction and Course Summary | |
| Lecture 02 | |
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Tools of the Trade: LaTeX | |
| Lecture 03 | |
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Projects | |
| Lecture 04 | |
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Tools of the Trade: Matlab, and Tesselation in nature | |
| Lecture 05 | |
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Symmetry and tessellations: the language of patterns | |
| Lecture 06 | |
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Irregular tilings | |
| Lecture 07 | |
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Periodicity and superposition of sines | |
| Lecture 08 | |
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Sinusoids and the Fast Fourier Transform | |
| Lecture 09 | |
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Sinusoids in 2D | |
| Lecture 10 | |
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Diffusion and Difference Equations | |
| Lecture 11 | |
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Diffusion in 2D | |
| Lecture 12 | |
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Diffusion and Smoothing | |
| Lecture 13 | |
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Random Walks | |
| Lecture 14 | |
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Higher-dimensional Random Walks | |
| Lecture 15 | |
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Limits of Random Walks | |
| Lecture 16 | |
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Reaction Systems, Instability and Symmetry Breaking | |
| Lecture 17 | |
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Reaction-Diffusion Systems | |
| Lecture 18 | |
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Tools of the Trade: Inkscape | |
| Lecture 19 | |
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Measuring Success | |
| Lecture 20 | |
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Cellular Automata | |
| Lecture 21 | |
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Fractals and Statistical Self-Similarity |
Matthew Roughan
Last modified: Tue May 7 09:34:48 2019