MATHEMATICS-HL OPTION CALCULUS FOR THE B IPLOMA
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作者於嵩,吴斌 主编
出版社上海科学技术出版社
ISBN9787547836491
出版时间2018-01
装帧平装
开本16开
定价200元
货号1201604235
上书时间2024-12-09
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作者简介
於嵩，上海世外中学的数学组组长。
吴斌，就职于上海世外教育集团，在教学之余还活跃于IB教育资源建设和IB教学推广。两位作者都是有十年左右教学经验的IB数学教师，同时也都是IB数学的考官，有丰富的IBDP数学教学经验和思考，具有很好专业的水平，同时在IB数学教育规划和课程体系建设方面都有专业的见解。
目录
1Limits， continuous and
differentiable functions11.1Limits of sequences1
1.2Limits of functions3
1.3Squeeze Theorem9
1.4Continuity of functions11
1.5Differentiable functions16
Module one miscellaneous questions18
2Rolles theorem and
Mean Value Theorem222.1Rolles theorem22
2.2Mean Value Theorem (MVT)24
Module two miscellaneous questions29
3Fundamental Theorem of
Calculus and improper
integrals343.1Fundamental Theorem of Calculus34
3.2Improper integrations of the form ∫∞af(x)dx35
3.3Approximation of improper integrals38
Module three miscellaneous questions42
4Infinite series and
power series454.1Sum of infinite geometric series45
4.2Test for Divergence47
4.3Integral Test48
4.4Comparison Test51
4.5Limit Comparison Test54
4.6Alternating Series Test56
4.7Absolute and conditional convergence59
4.8Ratio Test61
4.9Telescoping series62
4.10Power series64
Module four miscellaneous questions67
5Taylor and Maclaurin series70
5.1Revision: power series and its convergence70
5.2Taylor and Maclaurin series76
5.3Taylor and Maclaurin polynomials82
5.4Taylor and Maclaurin series with their “friends”88
Module five miscellaneous questions99
6Differential equation1096.1Introduction to differential equation109
6.2Solving the first order differential equations by graphical method111
6.3Solving the first order differential equations by numerical method121
6.4Solving the first order differential equations by analytic method124
6.5The first order differential equation and the Taylor or Maclaurin series149
Module six miscellaneous questions156
Answers of exercises165
内容摘要
IBDP靠前课程学校数学高水平选修部分分为微积分、统计、离散数学、集合论这几个分支，其中在中国境内的IBDP靠前学校学生选择微积分的比例优选。本书的重点涵盖IBDP数学在普适性课程内容之外的高水平数学选修课程的微积分教学大纲的所有内容。
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