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%%%% 216544:218258
\begin{edb:lecture}%
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\授業ID{216544:218258}%
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\名称{微分方程式特論}{Differential Equations}%
\担当教員{\所属肩書氏名{知的力学システム工学専攻 建設創造システム工学コース 社会システム工学講座}{准教授}{\EdbSMG{深貝}{}{暢良}}}%
\開講学期{}%
\履修種別{選択}%
\EdbColDef{edb:lecture.goal}{1}{E}{To be familiar with Sturm-Louville type equations.}%
\EdbColDef{edb:lecture.goal}{1}{J}{微分方程式の初等解法のつぎの段階として，Sturm-Liouville 問題の入門的な部分を経験する．}%
\EdbColDef{edb:lecture.plan}{1}{E}{Introduction}%
\EdbColDef{edb:lecture.plan}{1}{J}{はじめに}%
\EdbColDef{edb:lecture.plan}{2}{E}{Helmholtz's equation}%
\EdbColDef{edb:lecture.plan}{2}{J}{Helmholtz の方程式}%
\EdbColDef{edb:lecture.plan}{3}{E}{Eigenvalues and eigenfunctions}%
\EdbColDef{edb:lecture.plan}{3}{J}{固有値，固有関数}%
\EdbColDef{edb:lecture.plan}{4}{E}{Green's function}%
\EdbColDef{edb:lecture.plan}{4}{J}{Green 関数}%
\EdbColDef{edb:lecture.plan}{5}{E}{Residue analysis}%
\EdbColDef{edb:lecture.plan}{5}{J}{留数定理の復習}%
\EdbColDef{edb:lecture.plan}{6}{E}{Expansion of Green's function}%
\EdbColDef{edb:lecture.plan}{6}{J}{Green 関数の展開}%
\EdbColDef{edb:lecture.plan}{7}{E}{Fourier series}%
\EdbColDef{edb:lecture.plan}{7}{J}{Fourier 級数}%
\EdbColDef{edb:lecture.plan}{8}{E}{Existence theorem}%
\EdbColDef{edb:lecture.plan}{8}{J}{初期値問題の解の存在と一意性}%
\EdbColDef{edb:lecture.plan}{9}{E}{Sturm-Liouville problems}%
\EdbColDef{edb:lecture.plan}{9}{J}{Sturm-Liouville 問題}%
\EdbColDef{edb:lecture.plan}{10}{E}{Characteristic function}%
\EdbColDef{edb:lecture.plan}{10}{J}{特性関数}%
\EdbColDef{edb:lecture.plan}{11}{E}{Solvability of boundary value problems}%
\EdbColDef{edb:lecture.plan}{11}{J}{境界値問題の可解性}%
\EdbColDef{edb:lecture.plan}{12}{E}{Basic estimates}%
\EdbColDef{edb:lecture.plan}{12}{J}{特性関数の漸近的性質}%
\EdbColDef{edb:lecture.plan}{13}{E}{Distribution of eigenvalues}%
\EdbColDef{edb:lecture.plan}{13}{J}{固有値の存在}%
\EdbColDef{edb:lecture.plan}{14}{E}{Eigenfunction expansion}%
\EdbColDef{edb:lecture.plan}{14}{J}{固有関数展開}%
\EdbColDef{edb:lecture.plan}{15}{E}{Review}%
\EdbColDef{edb:lecture.plan}{15}{J}{まとめ}%
\EdbColDef{edb:lecture.style}{1}{@}{60007}%
\EdbColDef{edb:lecture.style}{1}{E}{Lecture}%
\EdbColDef{edb:lecture.style}{1}{J}{講義}%
\EdbColDef{edb:lecture.unit}{1}{E}{2}%
\EdbColDef{edb:lecture.unit}{1}{J}{2}%
\EdbColDef{edb:lecture.target}{1}{E}{Introduction to mathematical theory of differential equations.}%
\EdbColDef{edb:lecture.target}{1}{J}{数理物理に現れる線形微分方程式の数学的な扱いを学ぶ．}%
\EdbColDef{edb:lecture.outline}{1}{E}{Boundary value problems of second order linear differential equations.}%
\EdbColDef{edb:lecture.outline}{1}{J}{微分方程式の境界値問題について，具体的な計算を提示しながら，基本的な概念を解説する．本科目は，工業に関する科目である．}%
\EdbColDef{edb:lecture.keyword}{1}{E}{\EdbAlert{微分方程式の境界値問題}}%
\EdbColDef{edb:lecture.keyword}{1}{J}{微分方程式の境界値問題}%
\EdbColDef{edb:lecture.keyword}{2}{E}{\EdbAlert{Sturm-Liouville 問題}}%
\EdbColDef{edb:lecture.keyword}{2}{J}{Sturm-Liouville 問題}%
\EdbColDef{edb:lecture.evaluation}{1}{E}{Evaluation will be based on assignments.}%
\EdbColDef{edb:lecture.evaluation}{1}{J}{レポートにより評価する．}%
\EdbColDef{edb:lecture.student}{1}{@}{12630}%
\EdbColDef{edb:lecture.student}{1}{E}{Able to be taken by student of other department}%
\EdbColDef{edb:lecture.student}{1}{J}{他学科学生も履修可能}%
\EdbColDef{edb:lecture.reference}{1}{E}{\EdbAlert{望月清$\cdot{}$トルシン 『数理物理の微分方程式』 培風館}}%
\EdbColDef{edb:lecture.reference}{1}{J}{望月清$\cdot{}$トルシン 『数理物理の微分方程式』 培風館}%
\EdbColDef{edb:lecture.note}{1}{E}{\EdbAlert{授業を受ける際には，2時間の授業時間毎に2時間の予習と2時間の復習をしたうえで授業を受けることが，授業の理解と単位取得のために必要である．}}%
\EdbColDef{edb:lecture.note}{1}{J}{授業を受ける際には，2時間の授業時間毎に2時間の予習と2時間の復習をしたうえで授業を受けることが，授業の理解と単位取得のために必要である．}%
\EdbColDef{edb:lecture.contact}{1}{J}{\連絡先個人{}{工{\EdbZSp}学{\EdbZSp}部{\EdbZSp}数{\EdbZSp}学{\EdbZSp}教{\EdbZSp}室{\EdbZSp} {\EdbZSp}({\EdbZSp}A{\EdbZSp}棟{\EdbZSp}2{\EdbZSp}1{\EdbZSp}9{\EdbZSp}室{\EdbZSp}){\EdbZSp}}{木{\EdbZSp}曜{\EdbZSp}日{\EdbZSp} {\EdbZSp}1{\EdbZSp}5{\EdbZSp}:{\EdbZSp}0{\EdbZSp}0{\EdbZSp}$\sim{}$1{\EdbZSp}6{\EdbZSp}:{\EdbZSp}0{\EdbZSp}0{\EdbZSp}}}%
\end{edb:lecture}%

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%%%% 216544:218258
\begin{edb:lecture}%
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\授業ID{216544:218258}%
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\名称{Differential Equations}{微分方程式特論}%
\担当教員{\所属肩書氏名{Planning and Design Systems Engineering for Infrastructures, Civil and Environmental Engineering, Intelligent Structures and Mechanics Systems Engineering}{Associate Professor}{\EdbGMS{Nobuyoshi}{}{Fukagai}}}%
\開講学期{}%
\履修種別{selection}%
\EdbColDef{edb:lecture.goal}{1}{J}{微分方程式の初等解法のつぎの段階として，Sturm-Liouville 問題の入門的な部分を経験する．}%
\EdbColDef{edb:lecture.goal}{1}{E}{To be familiar with Sturm-Louville type equations.}%
\EdbColDef{edb:lecture.plan}{1}{J}{はじめに}%
\EdbColDef{edb:lecture.plan}{1}{E}{Introduction}%
\EdbColDef{edb:lecture.plan}{2}{J}{Helmholtz の方程式}%
\EdbColDef{edb:lecture.plan}{2}{E}{Helmholtz's equation}%
\EdbColDef{edb:lecture.plan}{3}{J}{固有値，固有関数}%
\EdbColDef{edb:lecture.plan}{3}{E}{Eigenvalues and eigenfunctions}%
\EdbColDef{edb:lecture.plan}{4}{J}{Green 関数}%
\EdbColDef{edb:lecture.plan}{4}{E}{Green's function}%
\EdbColDef{edb:lecture.plan}{5}{J}{留数定理の復習}%
\EdbColDef{edb:lecture.plan}{5}{E}{Residue analysis}%
\EdbColDef{edb:lecture.plan}{6}{J}{Green 関数の展開}%
\EdbColDef{edb:lecture.plan}{6}{E}{Expansion of Green's function}%
\EdbColDef{edb:lecture.plan}{7}{J}{Fourier 級数}%
\EdbColDef{edb:lecture.plan}{7}{E}{Fourier series}%
\EdbColDef{edb:lecture.plan}{8}{J}{初期値問題の解の存在と一意性}%
\EdbColDef{edb:lecture.plan}{8}{E}{Existence theorem}%
\EdbColDef{edb:lecture.plan}{9}{J}{Sturm-Liouville 問題}%
\EdbColDef{edb:lecture.plan}{9}{E}{Sturm-Liouville problems}%
\EdbColDef{edb:lecture.plan}{10}{J}{特性関数}%
\EdbColDef{edb:lecture.plan}{10}{E}{Characteristic function}%
\EdbColDef{edb:lecture.plan}{11}{J}{境界値問題の可解性}%
\EdbColDef{edb:lecture.plan}{11}{E}{Solvability of boundary value problems}%
\EdbColDef{edb:lecture.plan}{12}{J}{特性関数の漸近的性質}%
\EdbColDef{edb:lecture.plan}{12}{E}{Basic estimates}%
\EdbColDef{edb:lecture.plan}{13}{J}{固有値の存在}%
\EdbColDef{edb:lecture.plan}{13}{E}{Distribution of eigenvalues}%
\EdbColDef{edb:lecture.plan}{14}{J}{固有関数展開}%
\EdbColDef{edb:lecture.plan}{14}{E}{Eigenfunction expansion}%
\EdbColDef{edb:lecture.plan}{15}{J}{まとめ}%
\EdbColDef{edb:lecture.plan}{15}{E}{Review}%
\EdbColDef{edb:lecture.style}{1}{@}{60007}%
\EdbColDef{edb:lecture.style}{1}{J}{講義}%
\EdbColDef{edb:lecture.style}{1}{E}{Lecture}%
\EdbColDef{edb:lecture.unit}{1}{J}{2}%
\EdbColDef{edb:lecture.unit}{1}{E}{2}%
\EdbColDef{edb:lecture.target}{1}{J}{数理物理に現れる線形微分方程式の数学的な扱いを学ぶ．}%
\EdbColDef{edb:lecture.target}{1}{E}{Introduction to mathematical theory of differential equations.}%
\EdbColDef{edb:lecture.outline}{1}{J}{微分方程式の境界値問題について，具体的な計算を提示しながら，基本的な概念を解説する．本科目は，工業に関する科目である．}%
\EdbColDef{edb:lecture.outline}{1}{E}{Boundary value problems of second order linear differential equations.}%
\EdbColDef{edb:lecture.keyword}{1}{J}{微分方程式の境界値問題}%
\EdbColDef{edb:lecture.keyword}{1}{E}{\EdbAlert{微分方程式の境界値問題}}%
\EdbColDef{edb:lecture.keyword}{2}{J}{Sturm-Liouville 問題}%
\EdbColDef{edb:lecture.keyword}{2}{E}{\EdbAlert{Sturm-Liouville 問題}}%
\EdbColDef{edb:lecture.evaluation}{1}{J}{レポートにより評価する．}%
\EdbColDef{edb:lecture.evaluation}{1}{E}{Evaluation will be based on assignments.}%
\EdbColDef{edb:lecture.student}{1}{@}{12630}%
\EdbColDef{edb:lecture.student}{1}{J}{他学科学生も履修可能}%
\EdbColDef{edb:lecture.student}{1}{E}{Able to be taken by student of other department}%
\EdbColDef{edb:lecture.reference}{1}{J}{望月清$\cdot{}$トルシン 『数理物理の微分方程式』 培風館}%
\EdbColDef{edb:lecture.reference}{1}{E}{\EdbAlert{望月清$\cdot{}$トルシン 『数理物理の微分方程式』 培風館}}%
\EdbColDef{edb:lecture.note}{1}{J}{授業を受ける際には，2時間の授業時間毎に2時間の予習と2時間の復習をしたうえで授業を受けることが，授業の理解と単位取得のために必要である．}%
\EdbColDef{edb:lecture.note}{1}{E}{\EdbAlert{授業を受ける際には，2時間の授業時間毎に2時間の予習と2時間の復習をしたうえで授業を受けることが，授業の理解と単位取得のために必要である．}}%
\EdbColDef{edb:lecture.contact}{1}{E}{\連絡先個人{}{工{\EdbZSp}学{\EdbZSp}部{\EdbZSp}数{\EdbZSp}学{\EdbZSp}教{\EdbZSp}室{\EdbZSp} {\EdbZSp}({\EdbZSp}A{\EdbZSp}棟{\EdbZSp}2{\EdbZSp}1{\EdbZSp}9{\EdbZSp}室{\EdbZSp}){\EdbZSp}}{\EdbAlert{木{\EdbZSp}曜{\EdbZSp}日{\EdbZSp} {\EdbZSp}1{\EdbZSp}5{\EdbZSp}:{\EdbZSp}0{\EdbZSp}0{\EdbZSp}$\sim{}$1{\EdbZSp}6{\EdbZSp}:{\EdbZSp}0{\EdbZSp}0{\EdbZSp}}}}%
\end{edb:lecture}%

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