24 - Why numerical methods? Topics covered Summary Dhavide...

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Unformatted text preview: Why numerical methods? Topics covered Summary Dhavide Aruliah UOIT MATH 2070U c D. Aruliah (UOIT) Summary MATH 2070U 1 / 22 Why numerical methods? Topics covered Why learn about numerical methods? Diversify problem-solving ability Develop skills for intelligent use of commercial software Help learn to use computers more effectively Improve mathematical literacy/ability to pick up other books/software tools when required Many problems cannot be solved with canned software c D. Aruliah (UOIT) Summary MATH 2070U 5 / 22 Why numerical methods? Topics covered Scientific Computing Physical henomenon Software implementation ? experiment data predictions simulation c D. Aruliah (UOIT) Summary MATH 2070U 6 / 22 Why numerical methods? Topics covered Reproducible research An article about computational science in a scientific publication is not the scholarship itself, it is merely the advertising of the scholarship. The actual scholarship is the complete software development environment and the complete set of instructions which generated the figure. J. Claerbout c D. Aruliah (UOIT) Summary MATH 2070U 9 / 22 Why numerical methods? Topics covered How to display data badly [Wainer, 1984] 1 Show as Few Data as Possible (Minimize the Data Density) 2 Hide What Data You Do Show (Minimize the Data-Ink Ratio) 3 Ignore the Visual Metaphor Altogether 4 Only Order Matters 5 Graph Data Out of Context 6 Change Scales in Mid-Axis c D. Aruliah (UOIT) Summary MATH 2070U 10 / 22 Why numerical methods? Topics covered How to display data badly [Wainer, 1984] 7 Emphasize the Trivial (Ignore the Important) 8 Jiggle the Baseline 9...
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24 - Why numerical methods? Topics covered Summary Dhavide...

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