Single Variable Calculus with Early Transcendentals, 2nd Edition
by Dr. Paul Sisson and Dr. Tibor Szarvas
A comprehensive, mathematically rigorous exposition, Single Variable Calculus with Early Transcendentals blends precision and depth with a conversational tone to include the reader in developing the ideas and intuition of calculus. A consistent focus on historical context, theoretical discovery, and ample exercise sets provides insight into the many applications and inherent beauty of the subject.
This single variable calculus title offers over 6600 exercises to choose from. The extensive exercise sets progress in difficulty level to develop students' understanding of the content and include applicationbased practice opportunities and technology questions that underscore the role of modern tools in advanced computations. Each chapter concludes with two projects: one designed to expand students' conceptual understanding of calculus beyond the typical theories studied, and another that showcases a realworld application of calculus in action. Additionally, comprehensive review sections in the software summarize key concepts of each chapter and serve as a helpful guide during exam preparation.
Pair this title with Hawkes Learning's 3step, masterybased homework and testing software now with 43% more exercises. Builtin annotated solutions and stepbystep problemsolving tutorials provide immediate support for students, and a video walkthrough for each example helps to facilitate a genuine mastery of subject matter.
Formats: Software, Textbook, eBook
Product  ISBN 

Software + eBook  9781642776003 
Software + eBook + Textbook  9781642775990 
Textbook  9781642775969 
Student Solutions Manual eBook  9781642776027 
About the Authors:
Dr. Paul Sisson
Paul Sisson received his bachelor's degree in mathematics and physics from New Mexico Tech and his PhD from the University of South Carolina. Since then, he has taught a wide variety of math and computer science courses, including Intermediate Algebra, College Algebra, Discrete Mathematics, Calculus, Advanced Calculus, Differential Equations, Topology, Mathematical Art, History of Mathematics, Real Analysis, Complex Analysis, Linear Algebra, Abstract Algebra, Mathematica Programming, and Network Operating Systems. He is Professor of Mathematics and Provost Emeritus at Louisiana State University in Shreveport. He is also the author of Hawkes Learning's textbooks Algebra and Trigonometry, Precalculus, and College Algebra.
Dr. Tibor Szarvas
Tibor Szarvas received his master's degree in mathematics from the University of Szeged, Hungary, and his PhD from the University of South Carolina. His teaching experience in mathematics includes courses such as Intermediate Algebra, Liberal Arts Mathematics, Mathematics for Elementary Teachers, Precalculus, Calculus, Advanced Calculus, Discrete Mathematics, Differential Equations, College Geometry, Mathematical Modeling, Linear Algebra, Abstract Algebra, Topology, Real Analysis, Complex Variables, Number Theory, and Mathematical Logic. He is currently serving as Professor and Dean of the College of Arts & Sciences at Louisiana State University in Shreveport.
Table of Contents

Chapter 1: A Review of Functions
 1.1 Functions and How We Represent Them
 1.2 Common Functions
 1.3 Transforming and Combining Functions
 1.4 Inverse Functions
 1.5 Calculus, Calculators, and Computer Algebra Systems
 Chapter 1 Review
Chapter 2: Limits and the Derivative 2.1 Rates of Change and Tangent Lines
 2.2 Limits All around the Plane
 2.3 The Mathematical Definition of Limit
 2.4 Determining Limits of Functions
 2.5 Continuity
 2.6 Rate of Change Revisited: The Derivative
 Chapter 2 Review
Chapter 3: Differentiation 3.1 Differentiation Notation and Consequences
 3.2 Derivatives of Polynomials, Exponentials, Products, and Quotients
 3.3 Derivatives of Trigonometric Functions
 3.4 The Chain Rule
 3.5 Implicit Differentiation
 3.6 Derivatives of Inverse Functions
 3.7 Rates of Change in Use
 3.8 Related Rates
 3.9 Linearization and Differentials
 Chapter 3 Review
Chapter 4: Applications of Differentiation 4.1 Extreme Values of Functions
 4.2 The Mean Value Theorem
 4.3 The First and Second Derivative Tests
 4.4 L'Hôpital's Rule
 4.5 Calculus and Curve Sketching
 4.6 Optimization Problems
 4.7 Antiderivatives
 Chapter 4 Review
Chapter 5: Integration 5.1 Area, Distance, and Riemann Sums
 5.2 The Definite Integral
 5.3 The Fundamental Theorem of Calculus
 5.4 Indefinite Integrals and the Substitution Rule
 5.5 The Substitution Rule and Definite Integration
 Chapter 5 Review
Chapter 6: Applications of the Definite Integral 6.1 Finding Volumes Using Slices
 6.2 Finding Volumes Using Cylindrical Shells
 6.3 Arc Length and Surface Area
 6.4 Moments and Centers of Mass
 6.5 Force, Work, and Pressure
 6.6 Hyperbolic Functions
 Chapter 6 Review
Chapter 7: Techniques of Integration 7.1 Integration by Parts
 7.2 The Partial Fractions Method
 7.3 Trigonometric Integrals
 7.4 Trigonometric Substitutions
 7.5 Integration Summary and Integration Using Computer Algebra Systems
 7.6 Numerical Integration
 7.7 Improper Integrals
 Chapter 7 Review
Chapter 8: Differential Equations 8.1 Separable Differential Equations
 8.2 FirstOrder Linear Differential Equations
 8.3 Autonomous Differential Equations and Slope Fields
 8.4 SecondOrder Linear Differential Equations
 Chapter 8 Review
Chapter 9: Parametric Equations and Polar Coordinates 9.1 Parametric Equations
 9.2 Calculus and Parametric Equations
 9.3 Polar Coordinates
 9.4 Calculus in Polar Coordinates
 9.5 Conic Sections in Cartesian Coordinates
 9.6 Conic Sections in Polar Coordinates
 Chapter 9 Review
Chapter 10: Sequences and Series 10.1 Sequences
 10.2 Infinite Series
 10.3 The Integral Test
 10.4 Comparison Tests
 10.5 The Ratio and Root Tests
 10.6 Absolute and Conditional Convergence
 10.7 Power Series
 10.8 Taylor and Maclaurin Series
 10.9 Further Applications of Series
 Chapter 10 Review