Calculus An Applied Approach 8th Edition by Ron Larson
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Calculus An Applied Approach 8th Edition written by Ron Larson , The Pennsylvania State University, The Behrend College with the assistance of
David C Falvo, The Pennsylvania State University, The Behrend College.
Welcome to Calculus: An Applied Approach, Eighth Edition. In this revision, I focused not only on providing a meaningful revision to the text, but also a completely integrated learning program. Applied calculus students are a diverse group with varied interests and backgrounds. The revision strives to address the diversity and the different learning styles of students. I also aimed to alleviate and remove obstacles that prevent students from mastering the material.
Although the textbook often forms the basis of the course, today’s students often find greater value in an integrated text and technology program. With that in mind, I worked with the publisher to enhance the online and media resources available to students, to provide them with a complete learning program.
Designed specifically for the non-math major who will be using calculus in business, economics, or life and social science courses, Brief Calculus: An Applied Approach, 7/e, addresses students' weak math skills through added structure and guidance on how to study math. Special student-success-oriented sections include chapter-opening Strategies for Success; What You Should Learn--and Why You Should Learn It; Section Objectives; Chapter Summaries and Study Strategies; Try Its; Study Tips; and Warm-Up exercises. In addition the text presents Algebra Tips at point of use and Algebra Review at the end of each chapter.
Calculus An Applied Approach 8th Edition written by Ron Larson
cover the following topics.
A Word from the Author (Preface)
A Plan for You as a Student
Features
0. A Precalculus Review
0.1 The Real Number Line and Order
0.2 Absolute Value and Distance on the Real Number Line
0.3 Exponents and Radicals
0.4 Factoring Polynomials
0.5 Fractions and Rationalization
1. Functions, Graphs, and Limits
1.1 The Cartesian Plane and the Distance Formula
1.2 Graphs of Equations
1.3 Lines in the Plane and Slope
Mid-Chapter Quiz
1.4 Functions
1.5 Limits
1.6 Continuity
Chapter 1 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
2. Differentiation
2.1 The Derivative and the Slope of a Graph
2.2 Some Rules for Differentiation
2.3 Rates of Change: Velocity and Marginals
2.4 The Product and Quotient Rules
Mid-Chapter Quiz
2.5 The Chain Rule
2.6 Higher-Order Derivatives
2.7 Implicit Differentiation
2.8 Related Rates
Chapter 2 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
3. Applications of the Derivative
3.1 Increasing and Decreasing Functions
3.2 Extrema and the First-Derivative Test
3.3 Concavity and the Second-Derivative Test
3.4 Optimization Problems
Mid-Chapter Quiz
3.5 Business and Economics Applications
3.6 Asymptotes
3.7 Curve Sketching: A Summary
3.8 Differentials and Marginal Analysis
Chapter 3 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
4. Exponential and Logarithmic Functions
4.1 Exponential
4.2 Natural Exponential Functions
4.3 Derivatives of Exponential Functions
Mid-Chapter Quiz
4.4 Logarithmic Functions
4.5 Derivatives of Logarithmic Functions
4.6 Exponential Growth and Decay
Chapter 4 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
5. Integration and Its Applications
5.1 Antiderivatives and Indefinite Integrals
5.2 Integration by Substitution and the General Power Rule
5.3 Exponential and Logarithmic Integrals
Mid-Chapter Quiz
5.4 Area and the Fundamental Theorem of Calculus
5.5 The Area of a Region Bounded by Two Graphs
5.6 The Definite Integral as the Limit of a Sum
Chapter 5 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
6. Techniques of Integration
6.1 Integration by Parts and Present Value
6.2 Partial Fractions and Logistic Growth
6.3 Integration Tables
Mid-Chapter Quiz
6.4 Numerical Integration
6.5 Improper Integrals
Chapter 6 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
7. Functions of Several Variables
7.1 The Three-Dimensional Coordinate System
7.2 Surfaces in Space
7.3 Functions of Several Variables 496
7.4 Partial Derivatives
7.5 Extrema of Functions of Two Variables
Mid-Chapter Quiz
7.6 Lagrange Multipliers
7.7 Least Squares Regression Analysis
7.8 Double Integrals and Area in the Plane
7.9 Applications of Double Integrals
Chapter 7 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
8. Trigonometric Functions
8.1 Radian Measure of Angles
8.2 The Trigonometric Functions
8.3 Graphs of Trigonometric Functions
Mid-Chapter Quiz
8.4 Derivatives of Trigonometric Functions
8.5 Integrals of Trigonometric Functions
Chapter 8 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
9. Probability and Calculus
9.1 Discrete Probability
9.2 Continuous Random Variables
9.3 Expected Value and Variance
Chapter 9 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
10. Series and Taylor Polynomials
10.1 Sequences
10.2 Series and Convergence
10.3 p-Series and the Ratio Test
Mid-Chapter Quiz
10.4 Power Series and Taylor's Theorem
10.5 Taylor Polynomials
10.6 Newton's Method
Chapter 10 Algebra Review
Chapter Summary and Study Strategies
Review Exercises
Chapter Test
Appendices
A: Alternative Introduction to the Fundamental Theorem of Calculus
B: Formulas
B.1 Differentiation and Integration Formulas
B.2 Formulas from Business and Finance
C: Differential Equations
C.1 Solutions of Differential Equations
C.2 Separation of Variables
C.3 First-Order Linear Differential Equations
C.4 Applications of Differential Equations
D: Properties and Measurement (web only)*
D.1 Review of Algebra, Geometry, and Trigonometry
D.2 Units of Measurements
E: Graphing Utility Programs (web only)*
E.1 Graphing Utility Programs
Answers to Selected Exercises
Answers to Checkpoints
Index A155
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