Calculus: Concepts and Contexts von Kokoska und James Stewart (2023, Hardcover)
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- ISBN
- 9780357632499
Über dieses Produkt
Product Identifiers
Publisher
Cengage Learning
ISBN-10
0357632494
ISBN-13
9780357632499
eBay Product ID (ePID)
12050059669
Product Key Features
Number of Pages
1152 Pages
Language
English
Publication Name
Calculus : concepts and Contexts
Publication Year
2023
Subject
General, Calculus, Algebra / Elementary
Features
Revised
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
10.1 in
Item Weight
96 Oz
Item Length
2.1 in
Item Width
9 in
Additional Product Features
Edition Number
5
Intended Audience
College Audience
Dewey Edition
23
Dewey Decimal
515
Edition Description
Revised edition
Table Of Content
Preface.To the Student.Diagnostic Tests.A Preview of Calculus.1. FUNCTIONS AND MODELS.Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Exponential Functions. Inverse Functions and Logarithms. Parametric Curves. Laboratory Project: Running Circles around Circles. Review. Principles of Problem Solving.2. LIMITS AND DERIVATIVES.The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws.2.4 Continuity. Limits Involving Infinity. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Review. Focus on Problem Solving.3. DIFFERENTIATION RULES.Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Laboratory Project: Bézier Curves. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Inverse Trigonometric Functions and their Derivatives. Derivatives of Logarithmic Functions. Discovery Project: Hyperbolic Functions. Rates of Change in the Natural and Social Sciences. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Review. Focus on Problem Solving.4. APPLICATIONS OF DIFFERENTIATION.Related Rates. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. Derivatives and the Shapes of Curves. Graphing with Calculus and Calculators. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. Optimization Problems. Applied Project: The Shape of a Can. Newton's Method. Antiderivatives. Review. Focus on Problem Solving.5. INTEGRALS.Areas and Distances. The Definite Integral. Evaluating Definite Integrals. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Integration by Parts. Additional Techniques of Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Focus on Problem Solving.6. APPLICATIONS OF INTEGRATION.More about Areas. Volumes. Discovery Project: Rotating on a Slant. Volumes by Cylindrical Shells. Arc Length. Discovery Project: Arc Length Contest. Average Value of a Function. Applied Project: Where to Sit at the Movies. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Focus on Problem Solving.7. DIFFERENTIAL EQUATIONS.Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which Is Faster, Going Up or Coming Down? Exponential Growth and Decay. Applied Project: Calculus and Baseball. The Logistic Equation. Predator-Prey Systems. Review. Focus on Problem Solving.8. INFINTE SEQUENCES AND SERIES.Sequences. Laboratory Project: Logistic Sequences. Series. The Integral and Comparison Tests; Estimating Sums. Other Convergence Tests. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Focus on Problem Solving.9. VECTORS AND THE GEOMETRY OF SPACE.Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Laboratory Project: Putting 3D in Perspective. Functions and Surfaces. Cylindrical and Spherical Coordinates. Laboratory Project: Families of Surfaces. Review. Focus on Problem Solving.10. VECTOR FUNCTIONS.Vector Functions and Space Curves. Derivatives and Integrals of Vector F
Synopsis
Discover the power of learning calculus with the intuitive, discovery based, problem-solving approach found in Stewart/Kokoska's CALCULUS: CONCEPTS AND CONTEXTS, 5th Edition. This easy-to-read, updated edition is designed using the latest learning principles to remove typical barriers to learning. The carefully planned, inclusive learning experience provides new guided, step-by-step explanations and detailed examples with expanded solutions. Numerous exercises provide opportunities to practice, review and discover concepts through pattern recognition. In addition, precise definitions, new margin notes and learning features focus on key concepts and demonstrate how to avoid common mistakes. Every aspect of this edition is designed to help you understand the most important concepts in calculus and learn how to apply them in real-world situations. New online problems with immediate, specific feedback and interactive learning modules in WebAssign further strengthen your conceptual understanding.
LC Classification Number
QA303.2
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