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# Essential Calculus with Applications, 3rd Edition

by D. Franklin Wright, Spencer P. Hurd, and Bill D. New

With application-driven content and a primary emphasis on real-world connections, the third edition of Essential Calculus with Applications explores fundamental concepts of calculus for students of business, social sciences, and other liberal arts disciplines.

This edition includes a new Chapter 0 that provides a review of critical algebra concepts, addressing gaps and misconceptions that could be a barrier to student success. The foundational calculus content early in the title has been reorganized to provide an easy-to-follow path for learning, while modernized examples and applications reflect more contemporary contexts that are designed to resonate with today's college student.

Enhanced exercise sets in each section provide students opportunities to build both fluency and conceptual understanding through rigorous problem-solving applications now organized into Practice, Applications, Writing & Thinking, and Technology question categories. Additionally, the courseware for this edition boasts a 37% increase in the size of the question bank, providing extensive practice opportunities for students, featuring step-by-step tutorials and artificial-intelligence-driven, error-specific feedback for mistakes that can be used for both homework assignments and assessments.

Formats: Software, Textbook, eBook

Product ISBN
Software + eBook 978-1-64277-552-5
Software + eBook + Textbook 978-1-64277-551-8

1. Chapter 0: Algebra Review
1. 0.1 Real Numbers and Number Lines
2. 0.2 Integer Exponents
3. 0.3 Fractional Exponents and Radicals
4. 0.4 Polynomials and Factoring
5. 0.5 Lines and Their Graphs
6. 0.6 Linear Equations in One Variable
7. 0.7 Quadratic Equations in One Variable
8. 0.8 Rational and Radical Equations
9. Chapter 0 Review
2. Chapter 1: Functions, Models, and Graphs
1. 1.1 Introduction to Functions
2. 1.2 Operations with Functions
3. 1.3 Functions and Models
4. 1.4 Functions and Their Graphs: A Calculator Section
5. Chapter 1 Review
3. Chapter 2: Limits and the Derivative
1. 2.1 One-Sided Limits
2. 2.2 Limits
4. 2.4 Continuity
5. 2.5 Average Rate of Change
6. 2.6 Instantaneous Rate of Change
7. 2.7 Definition of the Derivative and the Power Rule
8. 2.8 Techniques for Finding Derivatives
9. 2.9 Applications: Marginal Analysis
10. Chapter 2 Review
4. Chapter 3: More about the Derivative
1. 3.1 The Product and Quotient Rules
2. 3.2 The Chain Rule and the General Power Rule
3. 3.3 Implicit Differentiation and Related Rates
4. 3.4 Increasing and Decreasing Intervals
5. 3.5 Critical Values and the First Derivative Test
6. 3.6 Absolute Maximum and Minimum
7. Chapter 3 Review
5. Chapter 4: Applications of the Derivative
1. 4.1 Concavity and Points of Inflection
2. 4.2 The Second Derivative Test
3. 4.3 Curve Sketching: Polynomial Functions
4. 4.4 Curve Sketching: Rational Functions
6. 4.6 Other Applications: Optimization, Distance, and Velocity
7. 4.7 Differentials
8. Chapter 4 Review
6. Chapter 5: Exponential and Logarithmic Functions
1. 5.1 Exponential Functions
2. 5.2 The Natural Logarithm
3. 5.3 Derivatives of Logarithmic Functions
4. 5.4 Derivatives of Exponential Functions
5. 5.5 Growth and Decay
6. 5.6 Elasticity of Demand
7. Chapter 5 Review
7. Chapter 6: Integration with Applications
1. 6.1 The Indefinite Integral
2. 6.2 Integration by Substitution
3. 6.3 Area and Riemann Sums
4. 6.4 The Definite Integral and the Fundamental Theorem of Calculus
5. 6.5 Area under a Curve (with Applications)
6. 6.6 Area between Two Curves (with Applications)
7. 6.7 Differential Equations
8. Chapter 6 Review
8. Chapter 7: Additional Integration Topics
1. 7.1 Integration by Parts
2. 7.2 Annuities and Income Streams
3. 7.3 Tables of Integrals
4. 7.4 Improper Integrals
5. 7.5 Probability
6. 7.6 Volume
7. Chapter 7 Review
9. Chapter 8: Multivariable Calculus
1. 8.1 Functions of Several Variables
2. 8.2 Partial Derivatives
3. 8.3 Local Extrema for Functions of Two Variables
4. 8.4 Lagrange Multipliers
5. 8.5 The Method of Least Squares
6. 8.6 Double Integrals
7. Chapter 8 Review
10. Chapter 9: Trigonometric Functions
1. 9.1 Trigonometric Functions
2. 9.2 Derivatives of Trigonometric Functions
3. 9.3 Integration of Trigonometric Functions
4. 9.4 Inverse Trigonometric Functions
5. Chapter 9 Review
11. Chapter 10: Sequences, Taylor Polynomials, and Power Series
1. 10.1 Sequences and Series
2. 10.2 Taylor Polynomials
3. 10.3 Taylor Series, Power Series, and Their Applications
4. Chapter 10 Review