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高等數(shù)學(xué)(航空類) 版權(quán)信息
- ISBN：9787121464881
- 條形碼：9787121464881 ; 978-7-121-46488-1
- 裝幀：平塑
- 冊數(shù)：暫無
- 重量：暫無
- 所屬分類：>>
高等數(shù)學(xué)(航空類) 內(nèi)容簡介
本書深入貫徹近年職業(yè)教育有關(guān)指示批示和重要文件精神，基于高職教育的實際情況和本課程教學(xué)要求，基于"數(shù)專結(jié)合”理念，以服務(wù)高職院校航空專業(yè)群（含通用航空航務(wù)技術(shù)、無人機(jī)應(yīng)用技術(shù)、通用航空器維修、空中乘務(wù)等專業(yè)）教學(xué)需求為導(dǎo)向，內(nèi)容體現(xiàn)思想性、科學(xué)性、基礎(chǔ)性、職業(yè)性、時代性，體現(xiàn)學(xué)科知識與航空行業(yè)應(yīng)用場景的融合，對數(shù)學(xué)概念、性質(zhì)等內(nèi)容提供直觀、通俗的說明和解釋，契合高職生數(shù)學(xué)基礎(chǔ)和學(xué)習(xí)特點。本書作為高職院校航空專業(yè)學(xué)生必修的一門專業(yè)基礎(chǔ)課教材，分為兩個部分：一是基礎(chǔ)部分。以一元函數(shù)微積分的基本知識和計算技能為主線，夯實基礎(chǔ)，同時結(jié)合課程思政，提高學(xué)生數(shù)學(xué)核心素養(yǎng)。二是應(yīng)用部分。以航空專業(yè)球面幾何知識和數(shù)學(xué)模型為主要教學(xué)內(nèi)容，注重使學(xué)生掌握航空專業(yè)知識相關(guān)的數(shù)學(xué)技能，服務(wù)專業(yè)課學(xué)習(xí)需求和未來職業(yè)發(fā)展需要。
高等數(shù)學(xué)(航空類) 目錄
目 錄
基礎(chǔ)模塊
**章 基礎(chǔ)知識 ···························································································.1
**節(jié) 代數(shù)基礎(chǔ) ····················································································2
第二節(jié) 等式與不等式 ··············································································9
第三節(jié) 函數(shù)及其性質(zhì) ···········································································.19
第四節(jié) 幾何基礎(chǔ) ·················································································.39
復(fù)習(xí)題一 ·····························································································.47
第二章 極限與連續(xù) ························································································52
**節(jié) 函數(shù)的極限 ··············································································.53
第二節(jié) 極限的運算 ··············································································.65
第三節(jié) 函數(shù)的連續(xù)性 ···········································································.81
復(fù)習(xí)題二 ·····························································································.91
第三章 導(dǎo)數(shù)與微分 ·····················································································.100
**節(jié) 導(dǎo)數(shù)的概念 ··············································································101
第二節(jié) 直接求導(dǎo)法 ··············································································110
第三節(jié) 復(fù)合函數(shù)求導(dǎo)法 ········································································114
第四節(jié) 隱函數(shù)求導(dǎo)法和參數(shù)方程求導(dǎo)法 ···················································120
第五節(jié) 高階導(dǎo)數(shù) ·················································································124
第六節(jié) 函數(shù)的微分 ··············································································127
復(fù)習(xí)題三 ·····························································································131
第四章 導(dǎo)數(shù)的應(yīng)用 ·····················································································.137
**節(jié) 微分中值定理 ···········································································138
第二節(jié) 洛必達(dá)法則 ··············································································141
第三節(jié) 函數(shù)的單調(diào)性和極值 ··································································147
第四節(jié) 函數(shù)的*值 ··············································································153
第五節(jié) 曲線的凸凹與拐點 ·····································································156
復(fù)習(xí)題四 ·····························································································165
第五章 不定積分 ························································································.170
**節(jié) 原函數(shù)與不定積分 ·····································································170
V
高等數(shù)學(xué)（航空類）
第二節(jié) 不定積分的**換元積分法 ·························································179
第三節(jié) 不定積分的第二換元積分法 ·························································186
第四節(jié) 不定積分的分部積分法 ·······························································191
第五節(jié) 積分表的使用 ···········································································197
復(fù)習(xí)題五 ·····························································································198
第六章 定積分 ···························································································.206
**節(jié) 定積分的概念與性質(zhì) ··································································207
第二節(jié) 定積分的計算 ···········································································217
第三節(jié) 定積分在幾何上的應(yīng)用 ·······························································225
復(fù)習(xí)題六 ·····························································································230
第七章 微分方程 ························································································.234
**節(jié) 微分方程的基本概念 ··································································235
第二節(jié) 一階微分方程 ···········································································237
第三節(jié) 二階微分方程 ···········································································243
第四節(jié) 微分方程的應(yīng)用 ········································································251
復(fù)習(xí)題七 ···········································
基礎(chǔ)模塊
**章 基礎(chǔ)知識 ···························································································.1
**節(jié) 代數(shù)基礎(chǔ) ····················································································2
第二節(jié) 等式與不等式 ··············································································9
第三節(jié) 函數(shù)及其性質(zhì) ···········································································.19
第四節(jié) 幾何基礎(chǔ) ·················································································.39
復(fù)習(xí)題一 ·····························································································.47
第二章 極限與連續(xù) ························································································52
**節(jié) 函數(shù)的極限 ··············································································.53
第二節(jié) 極限的運算 ··············································································.65
第三節(jié) 函數(shù)的連續(xù)性 ···········································································.81
復(fù)習(xí)題二 ·····························································································.91
第三章 導(dǎo)數(shù)與微分 ·····················································································.100
**節(jié) 導(dǎo)數(shù)的概念 ··············································································101
第二節(jié) 直接求導(dǎo)法 ··············································································110
第三節(jié) 復(fù)合函數(shù)求導(dǎo)法 ········································································114
第四節(jié) 隱函數(shù)求導(dǎo)法和參數(shù)方程求導(dǎo)法 ···················································120
第五節(jié) 高階導(dǎo)數(shù) ·················································································124
第六節(jié) 函數(shù)的微分 ··············································································127
復(fù)習(xí)題三 ·····························································································131
第四章 導(dǎo)數(shù)的應(yīng)用 ·····················································································.137
**節(jié) 微分中值定理 ···········································································138
第二節(jié) 洛必達(dá)法則 ··············································································141
第三節(jié) 函數(shù)的單調(diào)性和極值 ··································································147
第四節(jié) 函數(shù)的*值 ··············································································153
第五節(jié) 曲線的凸凹與拐點 ·····································································156
復(fù)習(xí)題四 ·····························································································165
第五章 不定積分 ························································································.170
**節(jié) 原函數(shù)與不定積分 ·····································································170
V
高等數(shù)學(xué)（航空類）
第二節(jié) 不定積分的**換元積分法 ·························································179
第三節(jié) 不定積分的第二換元積分法 ·························································186
第四節(jié) 不定積分的分部積分法 ·······························································191
第五節(jié) 積分表的使用 ···········································································197
復(fù)習(xí)題五 ·····························································································198
第六章 定積分 ···························································································.206
**節(jié) 定積分的概念與性質(zhì) ··································································207
第二節(jié) 定積分的計算 ···········································································217
第三節(jié) 定積分在幾何上的應(yīng)用 ·······························································225
復(fù)習(xí)題六 ·····························································································230
第七章 微分方程 ························································································.234
**節(jié) 微分方程的基本概念 ··································································235
第二節(jié) 一階微分方程 ···········································································237
第三節(jié) 二階微分方程 ···········································································243
第四節(jié) 微分方程的應(yīng)用 ········································································251
復(fù)習(xí)題七 ···········································
展開全部
高等數(shù)學(xué)(航空類) 作者簡介
金晶晶，1983年8月出生，中共黨員，福建船政交通職業(yè)學(xué)院通識教育學(xué)院副院長、黨總支副書記，擔(dān)任校數(shù)學(xué)學(xué)科專業(yè)帶頭人、校級教學(xué)名師，福建省職業(yè)教育教科研組數(shù)學(xué)組副組長。結(jié)合學(xué)院雙高項目牽頭開展了基于專業(yè)能力模型的數(shù)學(xué)課程模塊化數(shù)學(xué)課程改革，修訂數(shù)學(xué)課程標(biāo)準(zhǔn)。主持《高等數(shù)學(xué)（模塊A）》校級精品課程建設(shè)。作為團(tuán)隊負(fù)責(zé)人獲2022年全國職業(yè)院校技能大賽教學(xué)能力比賽二等獎。
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