高等数学基础

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作者：刘玉玲，亢岫

ISBN：978-7-5685-1698-3

中图分类：

出版社：大连理工大学出版社

出版时间：2018-08-01

定价：30.80元

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教材精简扼要、条理清晰、深入浅出、通俗易懂,例题、习题难易适度。全书内容覆盖了高职高专各专业学生所需的数学基本知识,适宜实际授课60~90课时的教学。

内容简介
教材目录
样章试读
教学资源

本教材尽可能采用直观描述和几何解释,利用图形或数值分析使概念及问题直观化、简单化,让学生易于理解和掌握。选用了一些典型的与实际生活密切相关的案例,如建立个人所得税的税收函数问题、房屋出租问题、石油蕴含量问题等,以及与专业相关的应用案例,如电工学中的电阻、电压等问题。增强学生对数学的应用意识和兴趣。

　

第 1章　函　数　1
1. 1　函数概念及性质　1
1. 2　复合函数与初等函数　7
1. 3　函数建模　12
1. 4　数学软件 Mathematica　15
本章小结　19
自我检测 1　20
数学家小传　21

第 2章　极限与连续　23
2. 1　函数的极限　23
2. 2　无穷小量与无穷大量　28
2. 3　极限的运算　30
2. 4　两个极限公式　33
2. 5　函数的连续性及性质　35
2. 6　用 Mathematica求函数的极限　40
本章小结　42
自我检测 2　43
数学家小传　45

第 3章　导数与微分　47
3. 1　导数的概念　47
3. 2　求导法则　53
3. 3　隐函数与参数式函数的导数　57
3. 4　微分及其简单应用　61
3. 5　用 Mathematica求函数的导数和微分　67
本章小结　69
自我检测 3　70
数学家小传　72

第 4章　导数的应用　74
4. 1　函数的单调性与极值　74
4. 2　可导函数的最值及其应用　78
4. 3　曲线的凹凸性与拐点及函数图形的描绘　82
4. 4　洛必达法则　87
4. 5　用 Mathematica求解导数应用的问题　90
本章小结　93
自我检测 4　94
数学家小传　96

第 5章　不定积分　97
5. 1　不定积分的概念和性质　97
5. 2　换元积分法　103
5. 3　分部积分法　109
5. 4　用 Mathematica求函数的不定积分　112
本章小结　113
自我检测 5　114
数学家小传　116

第 6章　定积分及其应用　118
6. 1　定积分的概念　118
6. 2　微积分基本公式　124
6. 3　定积分的积分法　127
6. 4　无穷区间上的广义积分　131
6. 5　定积分的简单应用　133
6. 6　用 Mathematica求函数的定积分及平面图形面积的计算　139
本章小结　141
自我检测 6　142
数学家小传　143

第 7章　常微分方程　145
7. 1　微分方程的基本概念　145
7. 2　一阶微分方程　148
7. 3　二阶常系数线性微分方程　154
7. 4　用 Mathematica解微分方程　160
本章小结　162
自我检测 7　163
数学家小传　164

习题答案　165
参考文献　176
附录　常用初等数学公式　177

教案《高等数学基础》刘玉玲，亢岫

所属课程：高等数学（通用类）类型：rar 大小：1.43 MB 上传时间： 2022-07-28 10:39:18

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课程标准(2018.9)《高等数学基础》刘玉玲，亢岫

所属课程：高等数学（通用类）类型：doc 大小：67 KB 上传时间： 2022-07-28 10:39:19

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课件《高等数学基础》刘玉玲，亢岫

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CONNECT:[ UseTime:0.011890s ] mysql:host=8.142.115.240;port=3306;dbname=demo_dutp_cn;charset=utf8
SHOW FULL COLUMNS FROM `xn_keyword` [ RunTime:0.017579s ]
SELECT * FROM `xn_keyword` WHERE `type` = 'sve' AND `type_resources` = 2 ORDER BY `sort` DESC [ RunTime:0.002825s ]
SHOW FULL COLUMNS FROM `xn_category` [ RunTime:0.016373s ]
SELECT * FROM `xn_category` ORDER BY `sort` ASC,`id` ASC [ RunTime:0.007824s ]
SELECT * FROM `xn_category` WHERE `type` = 1 AND `is_plan` = 1 ORDER BY `sort` ASC,`id` ASC [ RunTime:0.004069s ]
SELECT * FROM `xn_category` WHERE `type` = 1 ORDER BY `sort` ASC,`id` ASC [ RunTime:0.005227s ]
SELECT * FROM `xn_category` WHERE `type` = 2 ORDER BY `sort` ASC,`id` ASC [ RunTime:0.004247s ]
SHOW FULL COLUMNS FROM `xn_online` [ RunTime:0.016709s ]
SELECT * FROM `xn_online` WHERE `category_name` = 'sve' AND `type` = 1 ORDER BY `sort` DESC [ RunTime:0.002770s ]
SELECT * FROM `xn_online` WHERE `category_name` = 'sve' AND `type` = 2 ORDER BY `sort` DESC [ RunTime:0.002699s ]
SELECT * FROM `xn_online` WHERE `category_name` = 'sve' AND `type` = 3 LIMIT 1 [ RunTime:0.002627s ]
SHOW FULL COLUMNS FROM `xn_sve_category` [ RunTime:0.016173s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 0 AND `status` = 1 ORDER BY `sort` ASC [ RunTime:0.002704s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 46 [ RunTime:0.002573s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 61 [ RunTime:0.002633s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 62 [ RunTime:0.002594s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 68 [ RunTime:0.002705s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 63 [ RunTime:0.002640s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 49 [ RunTime:0.002571s ]
SELECT * FROM `xn_category` WHERE `type` = 1 AND `is_plan` = 1 AND `category_type` = 'sve' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.003740s ]
SHOW FULL COLUMNS FROM `xn_footer` [ RunTime:0.016139s ]
SELECT * FROM `xn_footer` ORDER BY `sort` DESC [ RunTime:0.002766s ]
SELECT * FROM `xn_footer` WHERE `type` = 1 ORDER BY `sort` DESC [ RunTime:0.002730s ]
SELECT * FROM `xn_footer` WHERE `type` = 2 ORDER BY `sort` DESC [ RunTime:0.002672s ]
SHOW FULL COLUMNS FROM `xn_books` [ RunTime:0.016343s ]
SELECT * FROM `xn_books` WHERE `id` = 1937 LIMIT 1 [ RunTime:0.002692s ]
SELECT * FROM `xn_books` WHERE `category_id` = 529 LIMIT 4 [ RunTime:0.005564s ]
SHOW FULL COLUMNS FROM `xn_main_banner` [ RunTime:0.016155s ]
SELECT * FROM `xn_main_banner` WHERE `category_id` = 261 ORDER BY `sort` DESC LIMIT 1 [ RunTime:0.002679s ]
SELECT * FROM `xn_main_banner` WHERE `category_id` = 260 ORDER BY `sort` DESC LIMIT 1 [ RunTime:0.002701s ]
SHOW FULL COLUMNS FROM `xn_download` [ RunTime:0.016192s ]
SELECT `d`.*,c.title as category_name FROM `xn_download` `d` INNER JOIN `xn_category` `c` ON `c`.`id`=`d`.`category_id` WHERE `d`.`book_id` = '1937' [ RunTime:0.020303s ]
SHOW FULL COLUMNS FROM `xn_editor` [ RunTime:0.016152s ]
SELECT * FROM `xn_editor` WHERE `id` = 42 LIMIT 1 [ RunTime:0.002658s ]

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