Calculus & its applications
 Edition
 Fourteenth edition / Larry J. Goldstein, Goldstein Educational Technologies, David C. Lay, University of Maryland, David I. Schneider, University of Maryland, Nakhlé H. Asmar, University of Missouri.
 Publication
 NY, NY : Pearson, [2018]
 Copyright notice
 ©2018
 Physical description
 1 volume (various pagings) : illustrations (some color) ; 29 cm
At the library
Science Library (Li and Ma)
Stacks
Call number  Status 

QA303.2 .G66 2018  Unknown 
More options
Description
Creators/Contributors
 Author/Creator
 Goldstein, Larry Joel.
 Contributor
 Lay, David C.
 Schneider, David I.
 Asmar, Nakhlé H.
Contents/Summary
 Contents

 0. Functions 0.1 Functions and Their Graphs 0.2 Some Important Functions 0.3 The Algebra of Functions 0.4 Zeros of Functions  The Quadratic Formula and Factoring 0.5 Exponents and Power Functions 0.6 Functions and Graphs in Applications
 1. The Derivative 1.1 The Slope of a Straight Line 1.2 The Slope of a Curve at a Point 1.3 The Derivative and Limits 1.4 Limits and the Derivative 1.5 Differentiability and Continuity 1.6 Some Rules for Differentiation 1.7 More About Derivatives 1.8 The Derivative as a Rate of Change
 2. Applications of the Derivative 2.1 Describing Graphs of Functions 2.2 The First and Second Derivative Rules 2.3 The First and Section Derivative Tests and Curve Sketching 2.4 Curve Sketching (Conclusion) 2.5 Optimization Problems 2.6 Further Optimization Problems 2.7 Applications of Derivatives to Business and Economics
 3. Techniques of Differentiation 3.1 The Product and Quotient Rules 3.2 The Chain Rule 3.3 Implicit Differentiation and Related Rates
 4. The Exponential and Natural Logarithm Functions 4.1 Exponential Functions 4.2 The Exponential Function ex 4.3 Differentiation of Exponential Functions 4.4 The Natural Logarithm Function 4.5 The Derivative of ln x 4.6 Properties of the Natural Logarithm Function
 5. Applications of the Exponential and Natural Logarithm Functions 5.1 Exponential Growth and Decay 5.2 Compound Interest 5.3. Applications of the Natural Logarithm Function to Economics 5.4. Further Exponential Models
 6. The Definite Integral 6.1 Antidifferentiation 6.2 The Definite Integral and Net Change of a Function 6.3 The Definite Integral and Area Under a Graph 6.4 Areas in the xyPlane 6.5 Applications of the Definite Integral
 7. Functions of Several Variables 7.1 Examples of Functions of Several Variables 7.2 Partial Derivatives 7.3 Maxima and Minima of Functions of Several Variables 7.4 Lagrange Multipliers and Constrained Optimization 7.5 The Method of Least Squares 7.6 Double Integrals
 8. The Trigonometric Functions 8.1 Radian Measure of Angles 8.2 The Sine and the Cosine 8.3 Differentiation and Integration of sin t and cos t 8.4 The Tangent and Other Trigonometric Functions
 9. Techniques of Integration 9.1 Integration by Substitution 9.2 Integration by Parts 9.3 Evaluation of Definite Integrals 9.4 Approximation of Definite Integrals 9.5 Some Applications of the Integral 9.6 Improper Integrals
 10. Differential Equations 10.1 Solutions of Differential Equations 10.2 Separation of Variables 10.3 FirstOrder Linear Differential Equations 10.4 Applications of FirstOrder Linear Differential Equations 10.5 Graphing Solutions of Differential Equations 10.6 Applications of Differential Equations 10.7 Numerical Solution of Differential Equations
 11. Taylor Polynomials and Infinite Series 11.1 Taylor Polynomials 11.2 The NewtonRaphson Algorithm 11.3 Infinite Series 11.4 Series with Positive Terms 11.5 Taylor Series
 12. Probability and Calculus 12.1 Discrete Random Variables 12.2 Continuous Random Variables 12.3 Expected Value and Variance 12.4 Exponential and Normal Random Variables 12.5 Poisson and Geometric Random Variables.
 (source: Nielsen Book Data)
 Publisher's Summary
 ["For one or twosemester courses in Calculus for students majoring in business, social sciences, and life sciences. Intuition before Formality Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits, and they introduce the definite integral intuitively via the notion of net change before they discuss Riemann sums. The strategic organization of topics makes it easy to adjust the level of theoretical material covered. The significant applications introduced early in the course serve to motivate students and make the mathematics more accessible. Another unique aspect of the text is its intuitive use of differential equations to model a variety of phenomena in Chapter 5, which addresses applications of exponential and logarithmic functions. Timetested, comprehensive exercise sets are flexible enough to align with each instructor's needs, and new exercises and resources in MyLab(TM) Math help develop not only skills, but also conceptual understanding, visualization, and applications. The 14th Edition features updated exercises, applications, and technology coverage, presenting calculus in an intuitive yet intellectually satisfying way. Also available with MyLab Math MyLab(TM) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. In the new edition, MyLab Math has expanded to include a suite of new videos, Interactive Figures, exercises that require stepbystep solutions, conceptual questions, calculator support, and more. Note: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab, search for: 0134467078 / 9780134467078 Calculus & Its Applications plus MyLab Math with Pearson eText  Access Card Package, 14/e Package consists of: *0134437772 / 9780134437774 Calculus & Its Applications*0321431308 / 9780321431301 MyLab Math  Gluein Access Card*0321654064 / 9780321654069 MyLab Math Inside Star Sticker.", {"source"=>"(source: Nielsen Book Data)"}, "9780134437774", "20170717"]
Subjects
 Subject
 Calculus > Textbooks.
 Calculus.
 Genre
 Textbooks.
Bibliographic information
 Publication date
 2018
 Copyright date
 2018
 Title Variation
 Calculus and its applications
 Note
 Includes indexes.
 ISBN
 9780134437774 (student edition)
 0134437772 (student edition)