応用数理学(開講なし)

科目基礎情報

学校 東京工業高等専門学校 開講年度 令和03年度 (2021年度)
授業科目 応用数理学(開講なし)
科目番号 0018 科目区分 専門 / 選択
授業形態 講義 単位の種別と単位数 学修単位: 2
開設学科 物質工学専攻 対象学年 専1
開設期 前期 週時間数 2
教科書/教材 「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)
担当教員

目的・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
AlgorithmnsUnderstand each algorithmn and the mathmatical theory which is the base of itUnderstand each algorithmnDon't understand algorithmns
ImplimentationImpliment each algorithmn as a program and make sure the theoryImpliment each algorithmn as a programDon't impliment algorithmns
EnglishKnow words and expressions to discribe these theoriesKnow important expressions to discribe these theoriesDon'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.
授業の進め方と授業内容・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

アクティブラーニング
ICT 利用
遠隔授業対応
実務経験のある教員による授業

授業計画

授業内容・方法 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

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00000100100
基礎的能力00000100100
専門的能力0000000
分野横断的能力0000000