●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
內容簡介
《AP微積分(華東師範大學第二附屬中學校本教材)(英文版)》內容定位:美國大學先修課程AP微積分AB/BC的校本教材。其中,靠前章至第五章內容,用於AP微積分之AB課程;第六章、第七章內容,用於AP微積分之BC課程。采取英文表達:由於AP課程的語言要求,本書采用全英文寫作,以便讀者在學習本書的過程中,掌握相應的英語表達。