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  •   (IMAC-U) 数理解析学 / (IMAC-U)Numerical Analysis  
      槙原 幹十朗  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    Please check the following site for class code.

    (https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    1.Class subject

    NUMERICAL ANALYSIS is intended to be an advanced study of linear algebra and numerical analysis.

    2.Object and summary of class

    To obtain the knowledge of advanced level of linear algebra is the object of the class.

    Moreover, to understand the concepts and develop relevant calculation abilities is the object.

    Applications to several engineering issues are included.

    3.Goal of study

    To master the application of linear algebra and numerical analysis is the goal of study.

  •   数理解析学 / Numerical Analysis  
      新堀 雄一, 大西 直文  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    1.目的

     線形代数の基礎的な考え方と代表的な数値解析法を学ぶとともに,線形代数の設計・計画・推定等への応用能力を養う。

    2.概要

     まず,ベクトルと行列を基礎に,連立一次方程式・固有値問題の解法を学ぶ。次に,線形代数の

    応用である最小二乗法,ゲーム理論,マルコフ連鎖,線形計画法等の考え方,モデルの作り方,解法を学ぶ。

    3.達成目標等

     講義内容を十分に理解し,線形代数を様々な設計・計画・推定等へ応用できる能力を取得することを目標とする。

     なお、本講義はGoogle Classroom を用いる場合がある。その場合のクラスコードは「eae2fhw」である。

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    1. Class subject

    Numerical analysis is intended to be an advanced study of linear algebra and numerical analysis.

    2. Object and summary of class

    To obtain the knowledge of advanced level of linear algebra is the object of the class. Applications to several engineering issues are included.

    3. Goal of study

    To master the application of linear algebra and numerical analysis is the goal of study.

    Classrooms may be used if necessary. Its class code is "eae2fhw".

  •   航空宇宙機学(IMAC) / Introduction to Aerospace Engineering  
      小林 広明, 大西 直文, 河合 宗司, 滝沢 寛之, 野々村 拓, 槙原 幹十朗, 山本 悟  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    In this course, various topics on aerospace engineering will be presented as the basic knowledge that students of the aerospace course must acquire to fulfill the requirements for graduation from the undergraduate aerospace engineering program. Introductory lectures on the research fields conducted by each faculty member of the course will be given.

    This course is aimed at those who want to master basic knowledge on aerospace engineering, including aircraft design, aerodynamics (experimental and computational), structure and material, propulsion, space exploration, space robotics, information science and technology, and so on.

    Title: Introduction to Aerospace Engineering (IMAC-U)

  •   応用線形代数学 / Advanced Linear Algebra  
      山川 優樹, 森口 周二  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割 (https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    1. 目的

    この授業では,線形代数学の基礎事項を習得し,土木工学で必要な数理的・数値的処理に応用できるようになることを目的とする.

    2. 概要

    線形代数学の基礎概念である線形空間の数学構造と基底,線形写像と線形変換,行列の固有値・固有ベクトル,線形連立方程式などを学習する.また,数値積分,離散データの多項式近似,線形常微分方程式の解法,主成分分析など,土木工学のさまざまな場面で必要とされる数理的・数値的処理への応用例も学ぶ.

    3. 達成目標等

    この授業では,線形代数学の基礎概念を理解し,土木工学のさまざまな場面で必要とされるデータの数理的・数値的処理や解析に応用できるようになることを達成目標とする.

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    1. Objectives

    The purpose of this class is to learn the basics of linear algebra and be able to apply it to the mathematical and numerical processing required in civil engineering.

    2. Overview

    In this class, students will learn the basic concepts of linear algebra, including the mathematical structure and basis of linear spaces, linear mapping and linear transformation, eigenvalues and eigenvectors of matrices, and simultaneous linear equations. Students will also learn examples of applications to mathematical and numerical processing required in various scenes of civil engineering, such as numerical integration, polynomial approximation of discrete data, solving linear ordinary differential equations, and principal component analysis.

    3. Goal of Study

    The goal of this class is to understand the basic concepts of linear algebra and be able to apply them to the mathematical and numerical processing and analysis of data required in various scenes of civil engineering.

  •   (IMAC-U)数理情報学演習 / Exercises in Computer-Aided Problem  
      松隈 啓, 岡谷 貴之  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    Students will learn how a computer can be used to solve mathematical problems. Although the course will use MATLAB or Octave for this purpose, its focus is more on mastering mathematical skills rather than learning how to use it.

    Starting with the basic usage of Octave (or MATLAB) and how to write a program on it, students will learn how they can solve various mathematical problems by writing and executing simple programs. The first half of each class day will be spent for explaining problems and their solutions. Students will try to solve exercise problems the rest of the time. The course will cover not only mathematics that students have already learned, such as calculus, differential equation, linear algebra, etc., but also those that they have not learned, such as numerical computation, signal processing, statistics, machine learning, etc.

    The goal of this course is to have students master skills of solving the specific problems considered in this course using Octave (or MATLAB) and futher obtain a concept of how they can utilize a computer to deal with novel problems.

    Google Classroom class code: w6g4lfk

  •   物理数学演習 / Exercises in Mathematical Methods of Physics  
      正木 祐輔  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    1.目的

     「解析力学」、「電磁気学」、「量子力学」等基礎物理学の学習に必要と思われる数学の演習を行い、これらでよく現れる問題を、自らの手で解くことにより、物理学の講義の理解を深めることを目的とする。

    2.概要

     Taylor展開、積分、ベクトル解析、Gaussの定理、Stokesの定理、複素解析、Fourier・Laplace変換、微分方程式、行列・行列式、固有値問題などである。一部の問題は学生が演習中に解法を発表し、また小テストやレポートなどで習熟度を確認する。

    3.達成目標等

     問題を解く力、人前で発表する要領、読みやすいレポートを書く力を養う。

    4.形式

     Google Classroomを利用する場合がある。

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    1. Purpose

    Students exercise mathematics required in fundamental physics "analytical mechanics", "electromagnetics", and "quantum mechanics". This course aim to develop a further understanding of physics by solving often appearing problems in one's own way.

    2. Outline

    Contents are Taylor expansion, integral, vector analysis, Gauss theorem, Stokes theorem, complex analysis, Fourier form, Laplace transform, differential equation, matrix/determinant, eigenvalue problem. Students present solutions for some problems in class. Short tests and/or reports are also given to check and deepen their understanding.

    3. Goals and objectives

    Students develop abilities of calculation, presentation, and writing report.

    4. Format

    Google Classroom is used if necessary.

  •   (IMAC-U)制御工学Ⅱ / (IMAC-U)Control Engineering II  
      吉田 和哉  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    1.目的

    古典制御理論(制御工学I)に続き,現代制御理論について学ぶ.

    2.概要

    本講義では,多変数の線形動的システムを制御する方法である状態空間法と呼ぶアプローチについて学ぶ.現代制御理論の主題は,状態方程式で表されたシステムの特性を解析する方法論と,望みの特性をもつシステムの設計法である.多変数の動的システムを状態方程式で表現する方法を学んだあと,安定性,可制御性,可観測性など,多変数システムの基本的な性質に関する基本概念を導入し,さらにそれをもちいて状態フィードバックによる極配置,オブザーバによる状態推定,最適レギュレータによる最適制御などの具体的な制御方策について学ぶ.

    3.達成目標

    与えられた動的システムを状態方程式で表現できるようになること.その可制御性,可観測性の判定法.状態フィードバック,極配置,オブザーバ,最適レギュレータなど,望みの特性をもつ制御系の設計方法を習得すること.

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    1. Purpose

    Following classical control theory (Control Engineering I), learn about modern control theory.

    2. Overview

    In this lecture, we will study an approach called the state space method, which is a method to control multivariable linear dynamic systems. The main subject of modern control theory is how to analyze the characteristics of a system represented by the state equation and how to design a control system to achieve desired characteristics. After learning the representation method of a multivariable dynamic system with a state equation, we introduce basic concepts of multivariable systems, such as stability, controllability, and observability. We also learn specific control strategies based on concepts such as pole assignment by state feedback, state estimation by an observer, and optimal control by an optimal regulator.

    3. Goal

    To be able to express a given dynamic system by a state equation and determine its controllability and observability. To be able to design control systems with desired characteristics by using a method such as state feedback, pole assignment, observer, and optimal regulator.

  •   (IMAC-U)計算材料力学 / (IMAC-U)Computational Mechanics of Materials  
      青栁 吉輝  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    1. Class subject

    This course aims to obtain knowledge and understanding of fundamental of finite element (FE) method computing displacement, strain, and stress.

    2. Object and abstract of class

    In this lecture, the formulation of the FE method and FE analysis for two-dimensional elasticity problems are described, which is a foundation of computational solid mechanics.

    3. Goal of study

    To obtain knowledge and understanding of the formulation of the FE method based on constant strain element.

    <Important>

    This lecture will be given using Google Classroom. The class code is "xyvrgpr".

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    1. Class subject

    This course aims to obtain knowledge and understanding of fundamental of finite element (FE) method computing displacement, strain, and stress.

    2. Object and abstract of class

    In this lecture, the formulation of the FE method and FE analysis for two-dimensional elasticity problems are described, which is a foundation of computational solid mechanics.

    3. Goal of study

    To obtain knowledge and understanding of the formulation of the FE method based on constant strain element.

    <Important>

    This lecture will be given using Google Classroom. The class code is "xyvrgpr".

  •   (IMAC-U) 流体力学Ⅰ / (IMAC-U)Fluid Mechanics I  
      佐藤 岳彦  
      工  
       
       

    Google Classroomのクラスコードは工学部Webページにて確認すること。

    学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

    1.目的

    エンジニア・研究者の基礎知識として必要な流体運動の基礎知識,および流体力学を総合的かつ普遍的に把握する方法や考え方を学ぶ.

    2.概要

    流体の物理的性質,静水力学,圧力と速度の関係,流れが物体に及ぼす力,流体力学の数理的手法の基礎,管路内や物体まわりなどの実際の流れ現象,流れの工学的応用等,流体力学全般の基礎知識を学ぶ.

    3.達成目標等

    この授業では,主に以下のような能力を修得することを目標とする.

    ・流体運動の基本的性質を理解し,流れの物理現象を説明することができる.

    ・流体運動の解析方法や計測の基礎を理解する.

    ・流れが工学的にどのように応用されているかを理解する.

    The class code for Google Classroom can be found on the Web site of

    the School of Engineering:

    https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)

    1. Class goals and outline

    To learn fundamentals of fluid motion and phenomena and to understand how to calculate pressures and velocities in both static and flowing fluids, forces on submerged objects, and dimensionless numbers for the design of experiments.

    2. Course outcomes

    Learning fundamentals of fluid such as physical characteristics of fluids, fluid statics, pressure and velocity of fluids, continuity equation, equation of motion, viscous flow in pipes, forces on submerged objects, and fluid applications for engineering.

    3. Learning attainment objectives

    After this course, students will demonstrate the following outcomes:

    - An understanding of fluid mechanics fundamentals and an ability to explain fluid phenomena using the Bernoulli equation, Momentum theorem, Euler’s equation, and dimensional analysis.

    - An ability to calculate velocity profiles and forces on objects submerged in flows and an understanding of engineering applications of fluid.

  •   IMAC-U 電気電子回路Ⅰ / (IMAC-U) Electrical and Electronic Circuit I  
      猪股 直生  
      工  
       
       

    N/A

    # The google classroom code for (IMAC-U) Electrical and Electronic Circuit I (TB15303) is "vyvdgo3".

    1.Class subject

    This class explains the fundamentals of electrical and electronic circuits as a linear system and its engineering applications.

    2.Object and summary of class

    Students learn sinusoidal wave and impedance, fundamental theorem of linear systems, various electronic circuits and their sinusoidal response, complex spectrum and frequency domain, and system representation in a practical manner.

    3.Goal of study

    Students are required to have the followings mastered: the fundamentals of electronic circuits as a linear system; complex representation of sinusoidal wave and calculation of voltage, current and impedance; calculation of frequency response from sinusoidal input and output; the concept of complex spectrum and frequency domain; matrix representation of linear systems and its calculation.

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