{"created":"2021-03-01T06:33:17.934671+00:00","id":25287,"links":{},"metadata":{"_buckets":{"deposit":"49ba8160-61b6-43d2-b1f1-2a4244a92bb4"},"_deposit":{"created_by":17,"id":"25287","owners":[17],"pid":{"revision_id":0,"type":"depid","value":"25287"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00025287","sets":["1206:1207:1208"]},"author_link":["823"],"item_11_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-01-23","bibliographicIssueDateType":"Issued"}}]},"item_11_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"以下の授業内容は標準的に教えられるものであり，講義の順序を示すものではない．また，クラスによっては，さらに進んだ内容が教えられる場合もある．実際の講義予定は別に提示する． １．数列・関数の極限と連続性数列・関数の極限に関する基本的事項と連続関数の基本性質を学ぶ．（キーワード）数列・関数の極限，有界単調数列の収束定理，連続関数の基本性質とその応用（発展的内容）実数の連続性・完備性，区間縮小法，収束・発散の速さの評価，ε−Ｎ論法，ε−δ論法 ２．一変数関数の微分法微分の基本的性質およびその解析・幾何・物理的な意味について理解する．さらに，微分法を用いて関数の様々な性質について調べられるようにする．（キーワード）微分の定義と幾何的意味，導関数と基本公式，初等関数の逆関数とその導関数，平均値の定理，高階導関数，テイラーの定理，不定形の極限（発展的内容）接線，平均値の定理の応用，極値問題，近似計算と誤差の評価，漸近展開，（無限次）テイラー展開，べき級数の収束半径，凸性 ３．一変数関数の積分法リーマン積分を通して定積分を理解する．さらに，広義積分について学習する．（キーワード）区分求積法，定積分，不定積分，微積分学の基本定理，広義積分（発展的内容）種々の関数の積分法，部分分数展開，連続関数の積分可能性，曲線の長さ，広義積分の収束発散の判定，ガンマ関数，ベータ関数，直交多項式","subitem_description_language":"ja","subitem_description_type":"Abstract"}]},"item_11_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"名古屋大学オープンコースウェア委員会","subitem_publisher_language":"ja"}]},"item_11_relation_43":{"attribute_name":"関連情報","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://ocw.nagoya-u.jp/courses/0651-微分積分学Ⅰ-2015/","subitem_relation_type_select":"URI"}}]},"item_11_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"本資料は、名古屋大学の教員山上滋によって作成され、名大の授業Webサイトに掲載された「微分積分学Ⅰ」(2015)をもとに(一部改変して)作成されたものです。Copyright(C)2015 山上滋","subitem_rights_language":"ja"}]},"item_11_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"山上, 滋","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"823","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-03-19"}],"displaytype":"detail","filename":"cal2015haru.pdf","filesize":[{"value":"310.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"cal2015haru","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/25287/files/cal2015haru.pdf"},"version_id":"afed7182-4cfa-4854-83c7-6940b4aaeb9a"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"learning object","resourceuri":"http://purl.org/coar/resource_type/c_e059"}]},"item_title":"微分積分学Ⅰ","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"微分積分学Ⅰ","subitem_title_language":"ja"}]},"item_type_id":"11","owner":"17","path":["1208"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-03-19"},"publish_date":"2018-03-19","publish_status":"0","recid":"25287","relation_version_is_last":true,"title":["微分積分学Ⅰ"],"weko_creator_id":"17","weko_shared_id":-1},"updated":"2023-12-18T04:59:55.044289+00:00"}