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。 |