# Calculus: Early Transcendental Functions 4th Edition Genres:

Book Preface

The calculus course is a critical course for science, technology, engineering, and math majors. This course sets the stage for many majors and is where students see the beauty of mathematics, encouraging them to take upper-level math courses.

In a calculus market-research study conducted in 2008, calculus faculty pointed out three critical components to student success in the calculus. The most critical is mastery of the prerequisite algebra and trigonometry skills. Our market research study showed that 58 percent of faculty mentioned that students struggled with calculus because of poor algebra skills and 72 percent said because of poor trigonometry skills. This is the number one learning challenge preventing students from being successful in the first calculus course.

The second critical component for student success is a text that presents calculus concepts, especially the most challenging concepts, in a clear and elegant manner. This helps students see and appreciate the beauty and power of mathematics. Lastly, calculus faculty told us that it is critical for a calculus text to include all the classic calculus problems.

Other calculus textbooks may reflect one or two of these critical components. However, there is only ONE calculus textbook that includes all three: Smith/Minton, 4e. Read on to understand howSmith/Minton handles all three issues, helping your students to see the beauty and power of mathematics.

CHAPTER 0 .. Preliminaries 1
CHAPTER 1 .. Limits and Continuity 65
CHAPTER 2 .. Differentiation 125
CHAPTER 3 .. Applications of Differentiation 211
CHAPTER 4 .. Integration 299
CHAPTER 5 .. Applications of the Definite Integral 377
CHAPTER 6 .. Integration Techniques 447
CHAPTER 7 .. First-Order Differential Equations 499
CHAPTER 8 .. Infinite Series 539
CHAPTER 9 .. Parametric Equations and Polar Coordinates 633
CHAPTER 10 .. Vectors and the Geometry of Space 695
CHAPTER 11 .. Vector-Valued Functions 757
CHAPTER 12 .. Functions of Several Variables and Partial Differentiation 817
CHAPTER 13 .. Multiple Integrals 909
CHAPTER 14 .. Vector Calculus 985
CHAPTER 15 .. Second-Order Differential Equations 1081
APPENDIX A .. Proofs of Selected Theorems A-1
APPENDIX B .. Answers to Odd-Numbered Exercises A-13