Calculus with Applications 11th Edition by Margaret Lial, Raymond Greenwell, Nathan Ritchey – Ebook PDF Instant Download/Delivery: 0133864561, 978-0133864564
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ISBN 10: 0133864561
ISBN 13: 978-0133864564
Author: Margaret Lial, Raymond Greenwell, Nathan Ritchey
NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value–this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson’s MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson’s MyLab & Mastering products.
Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added “help text” within examples.
Calculus with Applications 11th Table of contents:
Chapter R: Algebra Reference
R.1. Polynomials
R.2. Factoring
R.3. Rational Expressions
R.4. Equations
R.5. Inequalities
R.6. Exponents
R.7. Radicals
Chapter 1: Linear Functions
1.1. Slopes and Equations of Lines
1.2. Linear Functions and Applications
1.3. The Least Squares Line
Chapter 1: Review
Extended Application: Using Extrapolation to Predict Life Expectancy
Chapter 2: Nonlinear Functions
2.1. Properties of Functions
2.2. Quadratic Functions; Translation and Reflection
2.3. Polynomial and Rational Functions
2.4. Exponential Functions
2.5. Logarithmic Functions
2.6. Applications: Growth and Decay; Mathematics of Finance
Chapter 2: Review
Extended Application: Power Functions
Chapter 3: The Derivative
3.1. Limits
3.2. Continuity
3.3. Rates of Change
3.4. Definition of the Derivative
3.5. Graphical Differentiation
Chapter 3: Review
Extended Application: A Model for Drugs Administered Intravenously
Chapter 4: Calculating the Derivative
4.1. Techniques for Finding Derivatives
4.2. Derivatives of Products and Quotients
4.3. The Chain Rule
4.4. Derivatives of Exponential Functions
4.5. Derivatives of Logarithmic Functions
Chapter 4: Review
Extended Application: Electric Potential and Electric Field
Chapter 5: Graphs and the Derivative
5.1. Increasing and Decreasing Functions
5.2. Relative Extrema
5.3. Higher Derivatives, Concavity, and the Second Derivative Test
5.4. Curve Sketching
Chapter 5 Review
Extended Application: A Drug Concentration Model for Orally Administered Medications
Chapter 6: Applications of the Derivative
6.1. Absolute Extrema
6.2. Applications of Extrema
6.3. Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
6.4. Implicit Differentiation
6.5. Related Rates
6.6. Differentials: Linear Approximation
Chapter 6: Review
Extended Application: A Total Cost Model for a Training Program
Chapter 7: Integration
7.1. Antiderivatives
7.2. Substitution
7.3. Area and the Definite Integral
7.4. The Fundamental Theorem of Calculus
7.5. The Area Between Two Curves
7.6. Numerical Integration
Chapter 7: Review
Extended Application: Estimating Depletion Dates for Minerals
Chapter 8: Further Techniques and Applications of Integration
8.1. Integration by Parts
8.2. Volume and Average Value
8.3. Continuous Money Flow
8.4. Improper Integrals
Chapter 8: Review
Extended Application: Estimating Learning Curves in Manufacturing with Integrals
Chapter 9: Multivariable Calculus
9.1. Functions of Several Variables
9.2. Partial Derivatives
9.3. Maxima and Minima
9.4. Lagrange Multipliers
9.5. Total Differentials and Approximations
9.6. Double Integrals
Chapter 9: Review
Extended Application: Using Multivariable Fitting to Create a Response Surface Design
Chapter 10: Differential Equations
10.1. Solutions of Elementary and Separable Differential Equations
10.2. Linear First-Order Differential Equations
10.3. Euler’s Method
10.4. Applications of Differential Equations
Chapter 10: Review
Extended Application: Pollution of the Great Lakes
Chapter 11: Probability and Calculus
11.1. Continuous Probability Models
11.2. Expected Value and Variance of Continuous Random Variables
11.3. Special Probability Density Functions
Chapter 11: Review
Extended Application: Exponential Waiting Times
Chapter 12: Sequences and Series
12.1. Geometric Sequences
12.2. Annuities: An Application of Sequences
12.3. Taylor Polynomials at 0
12.4. Infinite Series
12.5. Taylor Series
12.6. Newton’s Method
12.7. L’Hospital’s Rule
Chapter 12: Review
Extended Application: Living Assistance and Subsidized Housing
Chapter 13: The Trigonometric Functions
13.1. Definitions of the Trigonometric Functions
13.2. Derivatives of Trigonometric Functions
13.3. Integrals of Trigonometric Functions
Chapter 13: Review
Extended Application: The Shortest Time and the Cheapest Path
Appendix A: Solutions to Prerequisite Skills Diagnostic Test
Appendix B: Tables
Answers to Selected Exercises
Credits
Index of Applications
Index
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