高等数学（航空类）

定　　价：69.9 元

丛书名：

• 作者：金晶晶
• 出版时间：2023/9/1
• ISBN：9787121464881
• 出 版 社：电子工业出版社

适用读者:《航空数学》一书面向职业本科院校和高职院校通用航空航务技术、无人机应用技术、通用航空器维修、空中乘务等航空相关专业的学生。

• 中图法分类：O13 
• 页码：344
• 版次：01
• 开本：16开
• 字数：550.400024414063(单位：千字)

内容简介

本书深入贯彻近年职业教育有关指示批示和重要文件精神，基于高职教育的实际情况和本课程教学要求，基于"数专结合”理念，以服务高职院校航空专业群（含通用航空航务技术、无人机应用技术、通用航空器维修、空中乘务等专业）教学需求为导向，内容体现思想性、科学性、基础性、职业性、时代性，体现学科知识与航空行业应用场景的融合，对数学概念、性质等内容提供直观、通俗的说明和解释，契合高职生数学基础和学习特点。本书作为高职院校航空专业学生必修的一门专业基础课教材，分为两个部分：一是基础部分。以一元函数微积分的基本知识和计算技能为主线，夯实基础，同时结合课程思政，提高学生数学核心素养。二是应用部分。以航空专业球面几何知识和数学模型为主要教学内容，注重使学生掌握航空专业知识相关的数学技能，服务专业课学习需求和未来职业发展需要。

作者介绍

金晶晶，1983年8月出生，中共党员，福建船政交通职业学院通识教育学院副院长、党总支副书记，担任校数学学科专业带头人、校级教学名师，福建省职业教育教科研组数学组副组长。结合学院双高项目牵头开展了基于专业能力模型的数学课程模块化数学课程改革，修订数学课程标准。主持《高等数学（模块A）》校级精品课程建设。作为团队负责人获2022年全国职业院校技能大赛教学能力比赛二等奖。

目 录

目 录
基础模块
第一章 基础知识 ···························································································.1
第一节 代数基础 ····················································································2
第二节 等式与不等式 ··············································································9
第三节 函数及其性质 ···········································································.19
第四节 几何基础 ·················································································.39
复习题一 ·····························································································.47
第二章 极限与连续 ························································································52
第一节 函数的极限 ··············································································.53
第二节 极限的运算 ··············································································.65
第三节 函数的连续性 ···········································································.81
复习题二 ·····························································································.91
第三章 导数与微分 ·····················································································.100
第一节 导数的概念 ··············································································101
第二节 直接求导法 ··············································································110
第三节 复合函数求导法 ········································································114
第四节 隐函数求导法和参数方程求导法 ···················································120
第五节 高阶导数 ·················································································124
第六节 函数的微分 ··············································································127
复习题三 ·····························································································131
第四章 导数的应用 ·····················································································.137
第一节 微分中值定理 ···········································································138
第二节 洛必达法则 ··············································································141
第三节 函数的单调性和极值 ··································································147
第四节 函数的最值 ··············································································153
第五节 曲线的凸凹与拐点 ·····································································156
复习题四 ·····························································································165
第五章 不定积分 ························································································.170
第一节 原函数与不定积分 ·····································································170
V
高等数学（航空类）
第二节 不定积分的第一换元积分法 ·························································179
第三节 不定积分的第二换元积分法 ·························································186
第四节 不定积分的分部积分法 ·······························································191
第五节 积分表的使用 ···········································································197
复习题五 ·····························································································198
第六章 定积分 ···························································································.206
第一节 定积分的概念与性质 ··································································207
第二节 定积分的计算 ···········································································217
第三节 定积分在几何上的应用 ·······························································225
复习题六 ·····························································································230
第七章 微分方程 ························································································.234
第一节 微分方程的基本概念 ··································································235
第二节 一阶微分方程 ···········································································237
第三节 二阶微分方程 ···········································································243
第四节 微分方程的应用 ········································································251
复习题七 ·····························································································254
职业模块
第八章 多元函数微积分及其应用 ···································································.257
第一节 多元函数极限与连续性 ·······························································258
第二节 偏导数及全微分 ········································································262
第三节 多元函数的极值及其应用 ····························································268
第四节 二重积分 ·················································································272
复习题八 ·····························································································281
第九章 空间解析几何 ··················································································.284
第一节 向量的几何表示 ········································································284
第二节 向量的坐标表示 ········································································287
第三节 平面及其方程 ···········································································295
第四节 空间直线及其方程 ·····································································299
复习题九 ·····························································································305
第十章 航空工程测量误差理论基础 ································································.308
第一节 测量误差概述 ···········································································309
第二节 航空工程中的测量精度的标准 ······················································313
第三节 误差传播定律 ···········································································316
第四节 最或是值及其残差 ·····································································321
第五节 等精度直接观测平差 ··································································322
复习题十 ·····························································································326
附录 积分表 ······························································································.327