Calculus : Early Transcendental Functions
ISBN: 9780538735506 | 0538735503
Edition: 5thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 1/1/2010
Why Rent from Knetbooks?
Because Knetbooks knows college students. Our rental program is designed to save you time and money. Whether you need a textbook for a semester, quarter or even a summer session, we have an option for you. Simply select a rental period, enter your information and your book will be on its way!
Top 5 reasons to order all your textbooks from Knetbooks:
- We have the lowest prices on thousands of popular textbooks
- Free shipping both ways on ALL orders
- Most orders ship within 48 hours
- Need your book longer than expected? Extending your rental is simple
- Our customer support team is always here to help
Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, continues to offer users innovative teaching and learning resources. The Larson team always has two main objectives for book revisions: to develop precise, readable materials for users that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for users that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus user. Every edition from the first to the fourth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.
| Preparation for Calculus | |
| Graphs and Models | |
| Linear Models and Rates of Change | |
| Functions and Their Graphs | |
| Fitting Models to Data | |
| Inverse Functions | |
| Exponential and Logarithmic Functions | |
| Limits and their Properties | |
| A Preview of Calculus | |
| Finding Limits Graphically and Numerically | |
| ... MORE | |
| Continuity and One-Sided Limits | |
| Infinite Limits | |
| Section Project: Graphs and Limits of Trigonometric Functions | |
| Differentiation | |
| The Derivative and the Tangent Line Problem | |
| Basic Differentiation Rules and Rates of Change | |
| Product and Quotient Rules and Higher-Order Derivatives | |
| The Chain Rule | |
| Implicit Differentiation | |
| Section Project: Optical Illusions | |
| Derivatives of Inverse Functions | |
| Related Rates | |
| Newton's Method | |
| Applications of Differentiation | |
| Extrema on an Interval | |
| Rolle's Theorem and the Mean Value Theorem | |
| Increasing and Decreasing Functions and the First Derivative Test | |
| Section Project: Rainbows | |
| Concavity and the Second Derivative Test | |
| Limits at Infinity | |
| A Summary of Curve Sketching | |
| Optimization Problems | |
| Section Project: Connecticut River | |
| Differentials | |
| Integration | |
| Antiderivatives and Indefinite Integration | |
| Area | |
| Riemann Sums and Definite Integrals | |
| The Fundamental Theorem of Calculus | |
| Section Project: Demonstrating the Fundamental Theorem | |
| Integration by Substitution | |
| Numerical Integration | |
| The Natural Logarithmic Function: Integration | |
| Inverse Trigonometric Functions: Integration | |
| Hyperbolic Functions | |
| Section Project: St. Louis Arch | |
| Differential Equations | |
| Slope Fields and Euler's Method | |
| Differential Equations: Growth and Decay | |
| Differential Equations: Separation of Variables | |
| The Logistic Equation | |
| First-Order Linear Differential Equations | |
| Section Project: Weight Loss | |
| Predator-Prey Differential Equations | |
| Applications of Integration | |
| Area of a Region Between Two Curves | |
| Volume: The Disk Method | |
| Volume: The Shell Method | |
| Section Project: Saturn | |
| Arc Length and Surfaces of Revolution | |
| Work | |
| Section Project: Tidal Energy | |
| Moments, Centers of Mass, and Centroids | |
| Fluid Pressure and Fluid Force | |
| Integration Techniques, L'H?pital's Rule, and Improper Integrals | |
| Basic Integration Rules | |
| Integration by Parts | |
| Trigonometric Integrals | |
| Section Project: Power Lines | |
| Trigonometric Substitution | |
| Partial Fractions | |
| Integration by Tables and Other Integration Techniques | |
| Indeterminate Forms and L'H?pital's Rule | |
| Improper Integrals | |
| Infinite Series | |
| Sequences | |
| Series and Convergence | |
| Section Project: Cantor's Disappearing Table | |
| The Integral Test and p-Series | |
| Section Project: The Harmonic Series | |
| Comparisons of Series | |
| Section Project: Solera Method | |
| Alternating Series | |
| The Ratio and Root Tests | |
| Taylor Polynomials and Approximations | |
| Power Series | |
| Representation of Functions by Power Series | |
| Taylor and Maclaurin Series | |
| Conics, Parametric Equations, and Polar Coordinates | |
| Conics and Calculus | |
| Plane Curves and Parametric Equations | |
| Section Projects: Cycloids | |
| Parametric Equations and Calculus | |
| Polar Coordinates and Polar Graphs | |
| Section Project: Anamorphic Art | |
| Area and Arc Length in Polar Coordinates | |
| Polar Equations of Conics and Kepler's Laws | |
| Vectors and the Geometry of Space | |
| Vectors in the Plane | |
| Space Coordinates and Vectors in Space | |
| The Dot Product of Two Vectors | |
| The Cross Product of Two Vectors in Space | |
| Lines and Planes in Space | |
| Section Project: Distances in Space | |
| Surfaces in Space | |
| Cylindrical and Spherical Coordinates | |
| Vector-Valued Functions | |
| Vector-Valued Functions | |
| Section Project: Witch of Agnesi | |
| Differentiation and Integration of Vector-Valued Functions | |
| Velocity and Acceleration | |
| Tangent Vectors and Normal Vectors | |
| Arc Length and Curvature | |
| Functions of Several Variables | |
| Introduction to Functions of Several Variables | |
| Limits and Continuity | |
| Partial Derivatives | |
| Section Project: Moire Fringes | |
| Differentials | |
| Chain Rules for Functions of Several Variables | |
| Directional Derivatives and Gradients | |
| Tangent Planes and Normal Lines | |
| Section Project: Wildflowers | |
| Extrema of Functions of Two Variables | |
| Applications of Extrema of Functions of Two Variables | |
| Section Project: Building a Pipeline | |
| Lagrange Multipliers | |
| Multiple Integration | |
| Iterated Integrals and Area in the Plane | |
| Double Integrals and Volume | |
| Change of Variables: Polar Coordinates | |
| Center of Mass and Moments of Inertia | |
| Section Project: Center of Pressure on a Sail | |
| Surface Area | |
| Section Project: Capillary Action | |
| Triple Integrals and Applications | |
| Triple Integrals in Cylindrical and Spherical Coordinates | |
| Section Project: Wrinkled and Bumpy Spheres | |
| Change of Variables: Jacobians | |
| Vector Analysis | |
| Vector Fields | |
| Line Integrals | |
| Conservative Vector Fields and Independence of Path | |
| Green's Theorem | |
| Section Project: Hyperbolic and Trigonometric Functions | |
| Parametric Surfaces | |
| Surface Integrals | |
| Section Project: Hyperboloid of One Sheet | |
| Divergence Theorem | |
| Stoke's Theorem | |
| Table of Contents provided by Publisher. All Rights Reserved. |
Related Products
Calculus : Early Transcendenta...
Calculus : Early Transcendenta...
Calculus of a Single Variable ...
