Brief Calculus An Applied Approach 8th edition by Michael Sullivan – Ebook PDF Instant Download/Delivery:1119868880 , 9781119868880
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Product details:
ISBN 10: 1119868880
ISBN 13: 9781119868880
Author: Michael Sullivan
Looking for a textbook to help you motivate your students? Sullivan’s Brief Calculus: An Applied Approach 8/e continues its rich tradition of engaging students and demonstrating how mathematics applies to various fields of study. The text is packed with real data and real-life applications to business, economics, social and life sciences. The new Eighth Edition also features a new full color design and improved goal-oriented pedagogy to further help student understanding.
Brief Calculus An Applied Approach 8th Table of contents:
Chapter 0: Review
0.1 Real Numbers
0.2 Algebra Review
0.3 Polynomials and Rational Expressions
0.4 Solving Equations
0.5 Intervals; Solving Inequalities
0.6 nth Roots; Rational Exponents
0.7 Geometry Review
0.8 Rectangular Coordinates
0.9 Lines
Chapter 1: Functions and Their Graphs
1.1 Graphs of Equations
1.2 Functions
1.3 Graphs of Functions; Properties of Functions
1.4 Library of Functions; Piecewise-defined Functions
1.5 Graphing Techniques: Shifts and Reflections
Chapter 1 Review
Chapter Project: Evaluating Car Rental Costs
Chapter 2: Classes of Functions
2.1 Quadratic Functions
2.2 Power Functions; Polynomial Functions; Rational Functions
2.3 Exponential Functions
2.4 Logarithmic Functions
2.5 Properties of Logarithms
2.6 Continuously Compounded Interest
Chapter 2 Review
Chapter 2 Project: Predicting Population Growth
Chapter 3: The Limit of a Function
3.1 Finding Limits Using Tables and Graphs
3.2 Techniques for Finding Limits of Functions
3.3 One-Sided Limits; Continuous Functions
3.4 Limits at Infinity; Infinite Limits; End Behavior; Asymptotes
Chapter 3 Review
Chapter 3 Project: Tax Rates and Continuous Functions
Chapter 4: The Derivative of a Function
4.1 The Definition of a Derivative
4.2 The Derivative of a Power Function; Sum and Difference Formulas
4.3 Product and Quotient Formulas
4.4 The Power Rule
4.5 The Derivatives of the Exponential and Logarithmic Functions; the Chain Rule
4.6 Higher-Order Derivatives
4.7 Implicit Differentiation
4.8 The Derivative of f(x)=xp/q
Chapter 4 Review
Chapter 4 Project: Testing Blood Efficiently
Chapter 5: Applications: Graphing Functions; Optimization
5.1 Horizontal and Vertical Tangent Lines; Continuity and Differentiability
5.2 Increasing and Decreasing Functions; the First Derivative Test
5.3 Concativity; the Second Derivative Test
5.4 Optimization
5.5 Elasticity of Demand
5.6 Related Rates
5.7 The Differential; Linear Approximations
Chapter 5 Review
Chapter 5 Project: Inventory Control
Chapter 6: The Integral of a Function and Applications
6.1 Antiderivatives; the Indefinite Integral; Marginal Analysis
6.2 Integration Using Substitution
6.3 Integration by Parts
6.4 The Definite Integral; Learning Curves; Total Sales over Time
6.5 Finding Areas; Consumer’s Surplus; Maximizing Profit over Time
6.6 Approximating Definite Integrals
6.7 Differential Equations
Chapter 6 Review
Chapter 6 Project: Inequality of Income Distribution
Chapter 7: Other Applications and Extensions of the Integral
7.1 Improper Integrals
7.2 Average Value of a Function
7.3 Continuous Probability Functions
Chapter 7 Review
Chapter 7 Project: A Mathematical Model for Arrivals
Chapter 8: Calculus of Functions of Two or More Variables
8.1 Rectangular Coordinates in Space
8.2 Functions and Their Graphs
8.3 Partial Derivatives
8.4 Local Maxima and Local Minima
8.5 Lagrange Multipliers
8.6 The Double Integral
Chapter 8 Review
Chapter 8 Project: More Inventory Control
Appendix: Graphing Utilities
A.1 The Viewing Rectangle
A.2 Using a Graphing Utility to Graph Equations
A.3 Square Screens
A.4 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
A.5 Using a Graphing Utility to Solve Equations
Answers to Odd-Numbered Problems
Photo Credits
Index
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