{"created":"2021-03-01T06:33:18.067244+00:00","id":25289,"links":{},"metadata":{"_buckets":{"deposit":"2f592a9f-bb24-43e5-86fd-038944ac93ac"},"_deposit":{"created_by":17,"id":"25289","owners":[17],"pid":{"revision_id":0,"type":"depid","value":"25289"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00025289","sets":["1206:1207:1208"]},"author_link":["823"],"item_11_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-01-31","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．多変数関数の極限と連続性 多変数関数（特に２変数関数）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）ユークリッド距離，点列の極限，多変数関数の極限と連続性 （発展的内容）近傍，開集合，閉集合，連続関数の性質 ２．多変数関数の微分法 多変数関数（特に２変数関数）について微分法の基礎を理解する．さらにそれを用いて，平面上の関数の様々な性質について調べられるようにし，極値問題などへの応用を学ぶ． （キーワード）偏微分と方向微分，合成関数の偏微分，テイラーの定理，高階偏導関数，極値問題 （発展的内容）全微分，接平面の方程式，座標変換，勾配ベクトル，二次形式としてのヘシアン，陰関数定理，ラグランジュの未定乗数法，多変数関数 ３．多変数関数の積分法 重積分の意味を理解し，累次積分による積分計算に習熟する．さらに，極座標変換などの例を通して，変数変換とその重積分への応用を学ぶ． （キーワード）重積分，累次積分，変数変換，ヤコビアン （発展的内容）積分順序交換，曲面積と体積，（多変数）広義積分，線積分，グリーンの定理","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/0652-微分積分学II-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II」(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":"cal2015aki(1).pdf","filesize":[{"value":"291.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"cal2015aki(1)","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/25289/files/cal2015aki(1).pdf"},"version_id":"57f7f686-9c29-497e-90ff-daeb1746e2e5"}]},"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II","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"微分積分学II","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":"25289","relation_version_is_last":true,"title":["微分積分学II"],"weko_creator_id":"17","weko_shared_id":-1},"updated":"2023-12-18T04:59:54.851269+00:00"}