AP微积分(华东师范大学第二附属中学校本教材)(英文版)

汪健编著的《AP微积分(华东师范大学第二附属 中学校本教材)(英文版)》内容定位：美国大学先修 课程AP微积分AB／BC的校本教材。其中，第一章至 第五章内容，用于AP微积分之AB课程；第六章、第 七章内容，用于AP微积分之BC课程。英文表达：由 于AP课程的语言要求，本书采用全英文写作，以便 读者在学习本书的过程中，掌握相应的英语表达。 读者对象：具备沪版数学教材之高二第一学期课程 的高中生；或者，具备同等学力的读者。课时建议 ：每周4课时，为期一学年。

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