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
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
授業の属性・履修上の区分
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 | 0 | 0 | 0 | 0 | 0 | 100 | 100 |
基礎的能力 | 0 | 0 | 0 | 0 | 0 | 100 | 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 |