Calculus with Early Transcendentals, 2nd Edition
by Dr. Paul Sisson and Dr. Tibor Szarvas
A comprehensive, mathematically rigorous exposition, 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 comprehensive calculus title offers over 9700 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.
The last five chapters of the text are a comprehensive treatment of multivariable calculus, covering analytic and differential geometry in three dimensions, partial derivatives, multiple integrals and alternate coordinate systems, and the deep extensions of singlevariable theorems to three and higher dimensions.
Pair this title with Hawkes Learning's 3step, masterybased homework and testing software now with 36% 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  9781642775938 
Software + eBook + Textbook  9781642775921 
Textbook  9781642775884 
Student Solutions Manual eBook  9781642775952 
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
Chapter 11: Vectors and the Geometry of Space 11.1 ThreeDimensional Cartesian Space
 11.2 Vectors and Vector Algebra
 11.3 The Dot Product
 11.4 The Cross Product
 11.5 Describing Lines and Planes
 11.6 Cylinders and Quadric Surfaces
 Chapter 11 Review
Chapter 12: Vector Functions 12.1 VectorValued Functions
 12.2 Arc Length and the Unit Tangent Vector
 12.3 The Unit Normal and Binormal Vectors, Curvature, and Torsion
 12.4 Planetary Motion and Kepler's Laws
 Chapter 12 Review
Chapter 13: Partial Derivatives 13.1 Functions of Several Variables
 13.2 Limits and Continuity of Multivariable Functions
 13.3 Partial Derivatives
 13.4 The Chain Rule for Multivariable Functions
 13.5 Directional Derivatives and Gradient Vectors
 13.6 Tangent Planes and Differentials
 13.7 Extreme Values of Functions of Two Variables
 13.8 Lagrange Multipliers
 Chapter 13 Review
Chapter 14: Multiple Integrals 14.1 Double Integrals
 14.2 Applications of Double Integrals
 14.3 Double Integrals in Polar Coordinates
 14.4 Triple Integrals
 14.5 Triple Integrals in Cylindrical and Spherical Coordinates
 14.6 Substitutions and Multiple Integrals
 Chapter 14 Review
Chapter 15: Vector Calculus 15.1 Vector Fields
 15.2 Line Integrals
 15.3 The Fundamental Theorem for Line Integrals
 15.4 Green's Theorem
 15.5 Parametric Surfaces and Surface Area
 15.6 Surface Integrals
 15.7 Stokes' Theorem
 15.8 The Divergence Theorem
 Chapter 15 Review