| 授業の目標と概要 |
| Understand how to deal with mathematical problems using numerical methods from analytical viewpoint. |
| Understand algorithms and procedures correctly and implement them on computers. |
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| カリキュラムにおける位置づけ |
| Prerequisite: Calculus Multivariable Calculus, Linear Algebra, Ordinary Differential Equation, Programming |
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| This course is designed to give an overview of the design, analysis and implementation of the several fundamental numerical method |
| which are used to solve practical engineering problems. |
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| 0. Introduction |
2 |
| - Course overview and instruction for usage of LMS |
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| 1. Error |
2 |
| - Absolute Error, Relative Error, Truncation Error, Round Error, Cancellation of significant digits |
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| - Accuracy and Precision |
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6 |
| 2. Linear Equations System and Matrices |
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| - Gaussian Elimination |
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| - Iterative Method |
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| 3. Non-linear Equations |
8 |
| - Bisection Method |
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| - Secant Method |
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| - Newton Method |
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| 4. Numerical Integration |
6 |
| - Quadrature Mensuration by parts |
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| - Trapezium Rule |
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| - Simpson's Rule |
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| - Monte Carlo Method |
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| 5. Ordinary Differential Equation |
6 |
| - Euler's Method |
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| - Runge-Kutta Method |
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| 教科書 |
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| 補助教科書 |
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「数値解析入門」（山本哲朗、サイエンス社）、「数値計算の常識」（伊理正夫・藤野和建、共立出版）
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| 履修上の注意 |
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This course is conducted in English. Basic Programming Skill is required in some language.
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| 評価基準 |
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Implement every method on computers and give a correct consideration to the result.
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| 評価法 |
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定期試験40%，WebWork30%，Home Work30%
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| 学習・教育目標 |
東京高専 |
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JABEE |
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