高等数学（第二版）

联系编辑

作者：朱长新,周蕾

ISBN：978-7-5685-3476-5

中图分类：O13

出版社：大连理工大学出版社

出版时间：2023-08-21

定价：35.00元

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教材采用了大量与专业和实际生活紧密联系的、适合高等职业院校数学教学的应用案例。由问题启发学生思维,引出数学知识,再列举大量浅显的数学应用案例,由浅入深地引导学生建立数学模型,解决实际问题。各章节配备了适量的习题,讲练结合,提高学生的运算能力和综合运用所学知识分析问题、解决问题的能力。

相较于第一版增加基于 MATLAB 软件的数学实验,通过对软件的介绍,使学生了解应用计算机快捷地解决数学问题的方法,拓宽了实践空间。

内容简介
教材目录
样章试读
教学资源

教材分为4章,内容包括:函数、极限与连续,导数与微分,导数的应用,一元函数积分学及其应用。

各章都精心挑选了现实背景极强的导例,让学生从生活化场景直观把握抽象的数学概念及知识。同时,注重问题解决能力的培养,做到以成果导向教学。各章均配备了MATLAB实验案例及练习题,有效增强学生的软件操作与运用能力,让学生充分体会到抽象数学问题的求解过程。

第1章函数、极限与连续

1.1 函数

1.2 极限

1.3 无穷小量与无穷大量

1.4 两个重要极限及其运用

1.5 函数的连续性及基本性质

本章小结

复习题一

【数学实验一】 MATLAB概述

【数学实验二】 MATLAB求解一元函数极限

第2章导数与微分

2.1 函数的导数

2.2 导数的运算

2.3 函数的微分

本章小结

复习题二

【数学实验三】 MATLAB求解一元函数导数

第3章导数的应用

3.1 微分中值定理

3.2 洛必达法则

3.3 导数在几何上的应用

3.4 导数在工程上的应用

3.5 函数图形的描绘

本章小结

复习题三

【数学实验四】 MATLAB在导数的基本应用

第4章一元函数积分学及其应用

4.1 不定积分的概念及性质

4.2 定积分的概念及性质

4.3 积分计算

4.4 定积分的基本应用

4.5 广义积分

本章小结

复习题四

【数学实验五】 MATLAB求解一元函数积分

附录

常用数学公式及知识点速记

参考答案

课件－高等数学（第二版）

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CONNECT:[ UseTime:0.018204s ] mysql:host=8.142.115.240;port=3306;dbname=demo_dutp_cn;charset=utf8
SHOW FULL COLUMNS FROM `xn_keyword` [ RunTime:0.022329s ]
SELECT * FROM `xn_keyword` WHERE `type` = 'sve' AND `type_resources` = 2 ORDER BY `sort` DESC [ RunTime:0.003069s ]
SHOW FULL COLUMNS FROM `xn_category` [ RunTime:0.023794s ]
SELECT * FROM `xn_category` ORDER BY `sort` ASC,`id` ASC [ RunTime:0.008234s ]
SELECT * FROM `xn_category` WHERE `type` = 1 AND `is_plan` = 1 ORDER BY `sort` ASC,`id` ASC [ RunTime:0.004293s ]
SELECT * FROM `xn_category` WHERE `type` = 1 ORDER BY `sort` ASC,`id` ASC [ RunTime:0.005371s ]
SELECT * FROM `xn_category` WHERE `type` = 2 ORDER BY `sort` ASC,`id` ASC [ RunTime:0.004293s ]
SHOW FULL COLUMNS FROM `xn_online` [ RunTime:0.016309s ]
SELECT * FROM `xn_online` WHERE `category_name` = 'sve' AND `type` = 1 ORDER BY `sort` DESC [ RunTime:0.002920s ]
SELECT * FROM `xn_online` WHERE `category_name` = 'sve' AND `type` = 2 ORDER BY `sort` DESC [ RunTime:0.002811s ]
SELECT * FROM `xn_online` WHERE `category_name` = 'sve' AND `type` = 3 LIMIT 1 [ RunTime:0.002755s ]
SHOW FULL COLUMNS FROM `xn_sve_category` [ RunTime:0.015950s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 0 AND `status` = 1 ORDER BY `sort` ASC [ RunTime:0.002884s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 46 [ RunTime:0.002746s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 61 [ RunTime:0.002810s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 62 [ RunTime:0.002727s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 68 [ RunTime:0.002701s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 63 [ RunTime:0.002841s ]
SELECT * FROM `xn_sve_category` WHERE `pid` = 49 [ RunTime:0.002826s ]
SELECT * FROM `xn_category` WHERE `type` = 1 AND `is_plan` = 1 AND `category_type` = 'sve' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.003913s ]
SHOW FULL COLUMNS FROM `xn_footer` [ RunTime:0.028850s ]
SELECT * FROM `xn_footer` ORDER BY `sort` DESC [ RunTime:0.002984s ]
SELECT * FROM `xn_footer` WHERE `type` = 1 ORDER BY `sort` DESC [ RunTime:0.002842s ]
SELECT * FROM `xn_footer` WHERE `type` = 2 ORDER BY `sort` DESC [ RunTime:0.002898s ]
SHOW FULL COLUMNS FROM `xn_books` [ RunTime:0.028492s ]
SELECT * FROM `xn_books` WHERE `id` = 4580 LIMIT 1 [ RunTime:0.003109s ]
SELECT * FROM `xn_books` WHERE `category_id` = 520 LIMIT 4 [ RunTime:0.013731s ]
SHOW FULL COLUMNS FROM `xn_main_banner` [ RunTime:0.016373s ]
SELECT * FROM `xn_main_banner` WHERE `category_id` = 261 ORDER BY `sort` DESC LIMIT 1 [ RunTime:0.002941s ]
SELECT * FROM `xn_main_banner` WHERE `category_id` = 260 ORDER BY `sort` DESC LIMIT 1 [ RunTime:0.002937s ]
SHOW FULL COLUMNS FROM `xn_download` [ RunTime:0.032440s ]
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` = '4580' [ RunTime:0.020754s ]
SHOW FULL COLUMNS FROM `xn_download_category` [ RunTime:0.017539s ]
SELECT `images` FROM `xn_download_category` WHERE `id` = 6 LIMIT 1 [ RunTime:0.002790s ]
SHOW FULL COLUMNS FROM `xn_editor` [ RunTime:0.016195s ]
SELECT * FROM `xn_editor` WHERE `id` = 42 LIMIT 1 [ RunTime:0.002876s ]

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