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书名 AP微积分
分类
作者 汪健编
出版社 华东师范大学出版社
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简介
作者简介
汪健,华东师范大学第二附属中学数学教师,数学奥赛教练、大学先修课程团队成员。美国哥伦比亚大学数学系硕士。2013年起在二附中靠前部担任数学以及AP微积分教师,并指导靠前部和靠前课程班学生参加美国数学竞赛(AMC)。
目录
Preface
CHAPTER 1 Limits and Continuity
1.Limit of Functions
2.Computing Limits
3.Limits : Further Notions
4.Continuity
CHAPTER 2 Derivatives
1.Derivatives : the Notion
2.Examples of Derivatives
3.Derivatives : More Rules
CHAPTER 3 Applications of Derivatives
1.Maximum and Minimum Values
2.The Mean Value Theorem
3.L'Hospital's Rule
4.Graph Analyzing
CHAPTER 4 Integrals
1.Definite Integrals
2.Fundamental Theorem of Calculus
3.Indefinite Integrals
4.Integrating Trigonometric Functions
5.Improper Integrals
CHAPTER 5 Applications of Integrals
1.First Applications of Integrals
2.Volumes and Arc Length
3.Modeling with Differential Equations
4.Numerical Solutions to Differential Equations
5.Analytic Solutions to Differential Equations
CHAPTER 6 Parametric Equations and Polar Coordinates
1.Calculus with Parametric ~quations
2.Calculus with Polar Coordinates
CHAPTER 7 Infinite Series
1.Series
2.Power Series
3.Maelaurin Series
4.Taylor Series
Bibliography
内容推荐
本书为华师大二附中校本教材,共计7章,分别为“Limits and Continuity”、“Derivatives”、“Applications of Derivatives”、“Integrals”、“Applications of Integrals”、“Parametric Equations and Polar Coordinates”、“Infinite Series”等。
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