Test bank for Calculus of a Single Variable Early Transcendental Functions 6th Edition by Ron Larson ,‎ Bruce H. Edwards

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CALCULUS OF A SINGLE VARIABLE: EARLY TRANSCENDENTAL FUNCTIONS, Sixth Edition, offers students innovative learning resources. Every edition from the first to the sixth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.

Test bank for Calculus of a Single Variable Early Transcendental Functions 6th Edition by Ron Larson

Test bank for Calculus of a Single Variable Early Transcendental Functions 6th Edition by Ron Larson

Table of content

Chapter 1: Preparation for Calculus
1.1: Graphs and Models
1.2: Linear Models and Rates of Change
1.3: Functions and Their Graphs
1.4: Fitting Models to Data
1.5: Inverse Functions
1.6: Exponential and Logarithmic Functions
1: Review Exercises
1: Problem Solving

Chapter 2: Limits and Their Properties
2.1: A Preview of Calculus
2.2: Finding Limits Graphically and Numerically
2.3: Evaluating Limits Analytically
2.4: Continuity and One-Sided Limits
2.5: Infinite Limits
2: Review Exercises
2: Problem Solving

Chapter 3: Differentiation
3.1: The Derivative and the Tangent Line Problem
3.2: Basic Differentiation Rules and Rates of Change
3.3: Product and Quotient Rules and Higher-Order Derivatives
3.4: The Chain Rule
3.5: Implicit Differentiation
3.6: Derivatives of Inverse Functions
3.7: Related Rates
3.8: Newton's Method
3: Review Exercises
3: Problem Solving

Chapter 4: Applications of Differentiation
4.1: Extrema on an Interval
4.2: Rolle's Theorem and the Mean Value Theorem
4.3: Increasing and Decreasing Functions and the First Derivative Test
4.4: Concavity and the Second Derivative Test
4.5: Limits at Infinity
4.6: A Summary of Curve Sketching
4.7: Optimization Problems
4.8: Differentials
4: Review Exercises
4: Problem Solving

Chapter 5: Integration
5.1: Antiderivatives and Indefinite Integration
5.2: Area
5.3: Riemann Sums and Definite Integrals
5.4: The Fundamental Theorem of Calculus
5.5: Integration by Substitution
5.6: Numerical Integration
5.7: The Natural Logarithmic Function: Integration
5.8: Inverse Trigonometric Functions: Integration
5.9: Hyperbolic Functions
5: Review Exercises
5: Problem Solving

Chapter 6: Differential Equations
6.1: Slope Fields and Euler's Method
6.2: Differential Equations: Growth and Decay
6.3: Differential Equations: Separation of Variables
6.4: The Logistic Equation
6.5: First-Order Linear Differential Equations
6.6: Predator-Prey Differential Equations
6: Review Exercises
6: Problem Solving

Chapter 7: Applications of Integration
7.1: Area of a Region Between Two Curves
7.2: Volume: The Disk Method
7.3: Volume: The Shell Method
7.4: Arc Length and Surfaces of Revolution
7.5: Work
7.6: Moments, Centers of Mass, and Centroids
7.7: Fluid Pressure and Fluid Force
7: Review Exercises
7: Problem Solving

Chapter 8: Integration Techniques, L'Hôpital's Rule, and Improper Integrals
8.1: Basic Integration Rules
8.2: Integration by Parts
8.3: Trigonometric Integrals
8.4: Trigonometric Substitution
8.5: Partial Fractions
8.6: Integration by Tables and Other Integration Techniques
8.7: Indeterminate Forms and L'Hôpital's Rule
8.8: Improper Integrals
8: Review Exercises
8: Problem Solving

Chapter 9: Infinite Series
9.1: Sequences
9.2: Series and Convergence
9.3: The Integral Test and p-Series
9.4: Comparisons of Series
9.5: Alternating Series
9.6: The Ratio and Root Tests
9.7: Taylor Polynomials and Approximations
9.8: Power Series
9.9: Representation of Functions by Power Series
9.10: Taylor and Maclaurin Series
9: Review Exercises
9: Problem Solving

Chapter 10: Conics, Parametric Equations, and Polar Coordinates
10.1: Conics and Calculus
10.2: Plane Curves and Parametric Equations
10.3: Parametric Equations and Calculus
10.4: Polar Coordinates and Polar Graphs
10.5: Area and Arc Length in Polar Coordinates
10.6: Polar Equations of Conics and Kepler's Laws
10: Review Exercises
10: Problem Solving

Chapter 11: Vectors and the Geometry of Space
11.1: Vectors in the Plane
11.2: Space Coordinates and Vectors in Space
11.3: The Dot Product of Two Vectors
11.4: The Cross Product of Two Vectors in Space
11.5: Lines and Planes in Space
11.6: Surfaces in Space
11.7: Cylindrical and Spherical Coordinates
11: Review Exercises
11: Problem Solving

Chapter 12: Vector-Valued Functions
12.1: Vector-Valued Functions
12.2: Differentiation and Integration of Vector-Valued Functions
12.3: Velocity and Acceleration
12.4: Tangent Vectors and Normal Vectors
12.5: Arc Length and Curvature
12: Review Exercises
12: Problem Solving

Chapter 13: Functions of Several Variables
13.1: Introduction to Functions of Several Variables
13.2: Limits and Continuity
13.3: Partial Derivatives
13.4: Differentials
13.5: Chain Rules for Functions of Several Variables
13.6: Directional Derivatives and Gradients
13.7: Tangent Planes and Normal Lines
13.8: Extrema of Functions of Two Variables
13.9: Applications of Extrema
13.10: Lagrange Multipliers
13: Review Exercises
13: Problem Solving

Chapter 14: Multiple Integration
14.1: Iterated Integrals and Area in the Plane
14.2: Double Integrals and Volume
14.3: Change of Variables: Polar Coordinates
14.4: Center of Mass and Moments of Inertia
14.5: Surface Area
14.6: Triple Integrals and Applications
14.7: Triple Integrals in Other Coordinates
14.8: Change of Variables: Jacobians
14: Review Exercises
14: Problem Solving

Chapter 15: Vector Analysis
15.1: Vector Fields
15.2: Line Integrals
15.3: Conservative Vector Fields and Independence of Path
15.4: Green's Theorem
15.5: Parametric Surfaces
15.6: Surface Integrals
15.7: Divergence Theorem
15.8: Stokes's Theorem
15: Review Exercises
15: Problem Solving

Chapter 16: Additional Topics in Differential Equations (online only)
16.1: Exact First-Order Equations
16.2: Second-Order Homogeneous Linear Equations
16.3: Second-Order Nonhomogeneous Linear Equations
16.4: Series Solutions of Differential Equations

Product details

Language: English
ISBN-10: 1285774795
ISBN-13: 978-1285774794
ISBN-13: 9781285774794

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