Calculus: Early Transcendental, 5e
CHAPTER 1: Limits and Continuity
CHAPTER 2: Differentiation
CHAPTER 3: Applications of Differentiation
CHAPTER 4: Integration
CHAPTER 5: Applications of the Definite Integral
CHAPTER 6: Integration Techniques
CHAPTER 7: First-Order Differential Equations
CHAPTER 8: Infinite Series
CHAPTER 9: Parametric Equations and Polar Coordinates
CHAPTER 10: Vectors and the Geometry of Space
CHAPTER 11: Vector-Valued Functions
CHAPTER 12: Functions of Several Variables and Partial Differentiation
CHAPTER 13: Multiple Integrals
CHAPTER 14: Vector Calculus
CHAPTER 15: Second-Order Differential Equations
APPENDIX A: Proofs of Selected Theorems
APPENDIX B: Answers to Odd-Numbered Exercises
The 5th edition of Calculus: Early Transcendental Functions maintains the critical components for which this calculus text is well known: facilitating mastery of prerequisite algebra and trigonometry skills, offering an elegant presentation of calculus concepts that is rigorous yet accessible, and including classic calculus problems such as applications for STEM and business disciplines.
Key features of the new edition:
- The new edition benefits from an accessible layout and presentation of graphs for topics like limits and continuity and area under the curve.
- A thorough revision has been carried out of all end-of-chapter problems and exercises and 120 new exercises have been added to the text and Connect.
- Introduction of “mind mapping” to help students understand the nature of calculus problems and develop problem-solving techniques that integrate multiple pieces of information.
- Improved approach to integration by starting with the antiderivatives.
- The inclusion of tabular integration by parts in Chapter 6.
- Enhanced coverage of first-order linear differential equations in Chapter 7.
- Two new sections on Laplace transforms have been introduced in Chapter 15, as well as material on how to solve second-order differential equations using Laplace transforms.