- 电子工业出版社
- 9787121464881
- 1-1
- 540764
- 67256546-2
- 16开
- 2023-09
- 交通运输大类
- 交通运输
- 高职
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。
目录
目 录__eol__基础模块__eol__第一章 基础知识 ···························································································· 1__eol__第一节 代数基础 ····················································································2__eol__第二节 等式与不等式 ··············································································9__eol__第三节 函数及其性质 ············································································ 19__eol__第四节 几何基础 ·················································································· 39__eol__复习题一 ······························································································ 47__eol__第二章 极限与连续 ························································································52__eol__第一节 函数的极限 ··············································································· 53__eol__第二节 极限的运算 ··············································································· 65__eol__第三节 函数的连续性 ············································································ 81__eol__复习题二 ······························································································ 91__eol__第三章 导数与微分 ······················································································ 100__eol__第一节 导数的概念 ··············································································101__eol__第二节 直接求导法 ··············································································110__eol__第三节 复合函数求导法 ········································································114__eol__第四节 隐函数求导法和参数方程求导法 ···················································120__eol__第五节 高阶导数 ·················································································124__eol__第六节 函数的微分 ··············································································127__eol__复习题三 ·····························································································131__eol__第四章 导数的应用 ······················································································ 137__eol__第一节 微分中值定理 ···········································································138__eol__第二节 洛必达法则 ··············································································141__eol__第三节 函数的单调性和极值 ··································································147__eol__第四节 函数的最值 ··············································································153__eol__第五节 曲线的凸凹与拐点 ·····································································156__eol__复习题四 ·····························································································165__eol__第五章 不定积分 ························································································· 170__eol__第一节 原函数与不定积分 ·····································································170__eol__V__eol__高等数学（航空类）__eol__第二节 不定积分的第一换元积分法 ·························································179__eol__第三节 不定积分的第二换元积分法 ·························································186__eol__第四节 不定积分的分部积分法 ·······························································191__eol__第五节 积分表的使用 ···········································································197__eol__复习题五 ·····························································································198__eol__第六章 定积分 ···························································································· 206__eol__第一节 定积分的概念与性质 ··································································207__eol__第二节 定积分的计算 ···········································································217__eol__第三节 定积分在几何上的应用 ·······························································225__eol__复习题六 ·····························································································230__eol__第七章 微分方程 ························································································· 234__eol__第一节 微分方程的基本概念 ··································································235__eol__第二节
