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Product Identifiers
PublisherPearson Education
ISBN-100134122585
ISBN-139780134122588
eBay Product ID (ePID)208642304
Product Key Features
Number of Pages928 Pages
Publication NameCalculus and Its Applications
LanguageEnglish
Publication Year2015
SubjectCalculus
TypeTextbook
Subject AreaMathematics
AuthorDavid Ellenbogen, Marvin L. Bittinger, Scott Adam Surgent
FormatHardcover
Dimensions
Item Height1.6 in
Item Weight71.4 Oz
Item Length11.2 in
Item Width8.8 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2014-041546
Dewey Edition23/eng/20240412
Dewey Decimal515
Table Of ContentR. Functions, Graphs, and Models R.1 Graphs and Equations R.2 Functions and Models R.3 Finding Domain and Range R.4 Slope and Linear Functions R.5 Nonlinear Functions and Models R.6 Mathematical Modeling and Curve Fitting 1. Differentiation 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity 1.3 Average Rates of Change 1.4 Differentiation Using Limits of Difference Quotients 1.5 Differentiation Techniques: The Power and Sum-Difference Rules 1.6 Differentiation Techniques: The Product and Quotient Rules 1.7 The Chain Rule 1.8 Higher-Order Derivatives 2. Applications of Differentiation 2.1 Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs 2.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs 2.3 Graph Sketching: Asymptotes and Rational Functions 2.4 Using Derivatives to Find Absolute Maximum and Minimum Values 2.5 Maximum-Minimum Problems; Business and Economic Applications 2.6 Marginals and Differentials 2.7 Implicit Differentiation and Related Rates 3. Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Functions 3.3 Applications: Uninhibited and Limited Growth Models 3.4 Applications: Decay 3.5 The Derivatives of ax and log a x 3.6 An Economics Application: Elasticity of Demand 4. Integration 4.1 Antidifferentiation 4.2 Antiderivatives as Areas 4.3 Area and Definite Integrals 4.4 Properties of Definite Integrals 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration by Parts 4.7 Integration Techniques: Tables 5. Applications of Integration 5.1 An Economics Application: Consumer Surplus and Producer Surplus 5.2 Applications of Integrating Growth and Decay Models 5.3 Improper Integrals 5.4 Numerical Integration 5.5 Volume 6. Functions of Several Variables 6.1 Functions of Several Variables 6.2 Partial Derivatives 6.3 Maximum-Minimum Problems 6.4: An Application: The Least-Squares Technique 6.5 Constrained Optimization 6.6 Double Integrals 7. Trigonometric Functions 7.1 Basics of Trigonometry 7.2 Derivatives of Trigonometric Functions 7.3 Integration of Trigonometric Functions 7.4 Inverse Trigonometric Functions and Applications 8. Differential Equations 8.1 Differential Equations 8.2 Separable Differential Equations 8.3 Applications: Inhibited Growth Models 8.4 First-Order Linear Differential Equations 8.5 Higher-Order Differential Equations and a Trigonometry Connection 9. Sequences and Series 9.1 Arithmetic Sequences and Series 9.2 Geometric Sequences and Series 9.3 Simple and Compound Interest 9.4 Annuities and Amortization 9.5 Power Series and Linearization 9.6 Taylor Series and a Trigonometry Connection 10. Probability Distributions 10.1 A Review of Sets 10.2 Probability 10.3 Discrete Probability Distributions 10.4 Continuous Probability Distributions 10.5 Mean, Variance, Standard Deviation, and the Normal Distribution 11. Systems and Matrices (online) 11.1 Systems of Linear Equations 11.2 Gauss-Jordan Elimination 11.3 Matrices and Row Operations 11.4 Matrix Arithmetic: Equality, Addition and Scalar Multiples 11.5 Matrix Multiplication, Multiplicative Identities and Inverses 11.6 Determinants and Cramer''s Rule 11.7 Systems of Linear Inequalities and Linear Programming 12. Discrete Probability (online) 12.1 Compound Events and Odds 12.2 Combinatorics: The Multiplication Principal and the Factorial 12.3 Permutations and Combinations 12.4 Conditional Probability and the Hypergeometric Distribution Model 12.5 Independence, Bernoulli Trials and the Binomial Probability Model 12.6 Bayes'' Rule
SynopsisKEY BENEFITS: This is an expanded version of Calculus and its Applications, Tenth Edition , by the same authors. The additional coverage includes trigonometric functions, differential equations, sequences and series, and probability distributions. Chapters on Systems and Matrices and Discrete Probability are available as a custom option or online in MyMathLab. Anticipating and meeting student needs Calculus and Its Applications remains a best-selling text due to its accessible presentation, which anticipates and addresses student needs. The writing style is ideal for today's students, providing intuitive explanations with carefully crafted artwork to help them visualize calculus concepts. Additionally, the text's numerous and up-to-date applications from business, economics, life sciences, and social sciences help to motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this version is designed to motivate and help students to more readily understand and apply the mathematics. KEY TOPICS: Functions, Graphs, and Models; Differentiation; Applications of Differentiation; Exponential and Logarithmic Functions; Integration; Applications of Integration; Functions of Several Variables; Trigonometric Functions; Differential Equations; Sequences and Series; Probability Distributions; Systems and Matrices; Discrete Probability MARKET: For all readers interested in calculus and its applications., This is an expanded version of Calculus and its Applications, Tenth Edition , by the same authors. The additional coverage includes trigonometric functions, differential equations, sequences and series, and probability distributions. Chapters on Systems and Matrices and Discrete Probability are available as a custom option or online in MyMathLab. Anticipating and meeting student needs Calculus and Its Applications remains a best-selling text due to its accessible presentation, which anticipates and addresses student needs. The writing style is ideal for today's students, providing intuitive explanations with carefully crafted artwork to help them visualize calculus concepts. Additionally, the text's numerous and up-to-date applications from business, economics, life sciences, and social sciences help to motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this version is designed to motivate and help students to more readily understand and apply the mathematics. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 0134123492 / 9780134123493 Calculus and Its Applications Expanded Version Media Update Plus MyMathLab -- Access Card Package Package consists of 0134122585 / 9780134122588 Calculus and Its Applications Expanded Version Media Update 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
LC Classification NumberQA303.2.B4667 2016
