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.LHospitals 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
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