描述
开 本: 16开纸 张: 胶版纸包 装: 平装-胶订是否套装: 否国际标准书号ISBN: 9787564367664
目 录
章 函数、极限和连续···································································································· 1
节 函数················································································································ 1
第二节 极限················································································································ 7
第三节 函数的连续与间断··························································································· 17
考点解析···················································································································· 24
题型训练···················································································································· 33
参考答案···················································································································· 35
第二章 一元函数微分学····································································································· 38
节 导数与微分···································································································· 38
第二节 中值定理········································································································ 48
第三节 导数的应用···································································································· 53
考点解析····················································································································· 59
题型训练···················································································································· 70
参考答案····················································································································· 73
第三章 一元函数积分学····································································································· 77
节 不定积分········································································································ 77
第二节 定积分··········································································································· 85
第三节 定积分的应用································································································· 94
考点解析···················································································································· 98
……………..
考点解析··················································································································· 250
题型训练··················································································································· 263
参考答案··················································································································· 266
参考文献·························································································································· 269
前 言
本书是普通高等学校专升本专用教材,是根据四川省普通高等学校专升本考试大纲,深入分析近年来“高等数学”专升本考试试题特点,尤其是针对学生在考前复习时遇到的问题,综合相关“高等数学”专升本教材和参考资料,由长期在高等院校担任“高等数学”教学和研究的专家和老师们合力编写而成的.
专升本考试为有志于继续学习深造的学生创造了机会,是学生提高学历层次的有效途径. 目前,参加专升本考试的学生逐年增加,竞争日趋激烈,但学生常常苦于选不出适合自己的教材或参考书,进而无法较为准确地衡量自己的学习状况和知识水平. 为了减轻学生的心理压力,为学生排忧解难,本书从知识内容、考点分布、试题类型等角度进行了合理安排,有利于学生合理分配学习“高等数学”的时间、精力并把握学习的节奏,终顺利通过专升本考试.
本书的编写,遵从高等数学的知识体系,在比较系统地概括高等数学的基本概念和基本理论的基础上,紧扣《四川省普通高等学校专升本考试大纲》主线,对不同章节的知识点进行取舍,删繁就简,去粗取精,力求知识结构严谨,脉络清晰,避免考生在复习时面面俱到,花费不必要的时间和精力. 同时,在深入分析研究近年来普通高等学校专升本考试试题的基础上,归纳考试范围,把握重点和难点,使学生做到心中有数,沉着应对,起到事半功倍的效果.
全书共分八章,主要内容包括函数、极限和连续、一元函数微分学、一元函数积分学、向量代数和空间解析几何、多元函数微积分学、无穷级数、常微分方程和线性代数. 每章由基本知识点、考点解析、题型训练和参考答案四部分组成,考点解析和题型训练中的大部分试题选自近年来的考试真题,具有很强的代表性.
我们将这本极具针对性的教材谨献给准备参加专升本的学生,祝愿梦想成真.
限于编者水平,书中难免存在不妥之处,恳请读者批评指正.
编 者
2018年9月
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