到達目標
Understand how to deal with mathematical problems using numerical methods from analytical viewpoint.
Understand algorithms and procedures correctly and implement them on computers.
ルーブリック
| 理想的な到達レベルの目安 | 標準的な到達レベルの目安 | 未到達レベルの目安 |
| Algorithmns | Understand each algorithmn and the mathmatical theory which is the base of it | Understand each algorithmn | Don't understand algorithmns |
| Implimentation | Impliment each algorithmn as a program and make sure the theory | Impliment each algorithmn as a program | Don't impliment algorithmns |
| English | Know words and expressions to discribe these theories | Know important expressions to discribe these theories | Don't know words and expressions to discribe these theories |
学科の到達目標項目との関係
JABEE (c)
説明
閉じる
学習・教育目標 C1
説明
閉じる
教育方法等
概要:
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.
授業の進め方・方法:
Applied Mathematics consists of 10 lectures, that emphasis the mathematics used to design numerical methods, and to analyse their properties. and 5 experiments with implementing algorithms in Computer Lab.
注意点:
Prerequisite: Calculus Multivariable Calculus, Linear Algebra, Ordinary Differential Equation, Programming
授業計画
|
|
週 |
授業内容 |
週ごとの到達目標 |
| 前期 |
| 1stQ |
| 1週 |
Guidance and Introduction |
|
| 2週 |
Error |
Understand why errors are occurred in computer
|
| 3週 |
Linear Equations System and Matrices- Gaussian Elimination |
Understand the algorithm
|
| 4週 |
Linear Equations System and Matrices- Iterative Method 1 |
Understand the algorithm
|
| 5週 |
Linear Equations System and Matrices - Iterative Method 2 |
Understand the algorithm
|
| 6週 |
Exercise in Computer Lab. |
Impliment the algorithmn
|
| 7週 |
Non-linear Equations - Bisection Method, Secant Method |
Understand the algorithm
|
| 8週 |
Non-linear Equations- Quadrature Mensuration by parts, Newton Method |
Understand the algorithm
|
| 2ndQ |
| 9週 |
Exercise in Computer Lab. |
Impliment the algorithmn
|
| 10週 |
Numerical Integration -Trapezium Rule & Sympson's Rule |
Understand the algorithm
|
| 11週 |
Numerical Integration - Monte Carlo Method |
Understand the algorithm
|
| 12週 |
Exercise in Computer Lab. |
Impliment the algorithmn
|
| 13週 |
Ordinary Differential Equation -Euler Method |
Understand the algorithm
|
| 14週 |
Ordinary Differential Equation- Runge-Kutta Method |
Understand the algorithm
|
| 15週 |
Exercise in Computer Lab. |
Impliment the algorithmn
|
| 16週 |
Final Examination |
|
モデルコアカリキュラムの学習内容と到達目標
| 分類 | 分野 | 学習内容 | 学習内容の到達目標 | 到達レベル | 授業週 |
評価割合
| 試験 | 発表 | 相互評価 | 態度 | ポートフォリオ | その他 | 合計 |
| 総合評価割合 | 50 | 0 | 0 | 0 | 0 | 50 | 100 |
| 基礎的能力 | 50 | 0 | 0 | 0 | 0 | 50 | 100 |
| 専門的能力 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 分野横断的能力 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |