Calculus of single variable : with CalcChat and Calcview 1st edition by Bruce Edwards, Ron Larson – Ebook PDF Instant Download/DeliveryISBN: 1337275360, 9781337275361
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Product details:
ISBN-10 : 1337275360
ISBN-13 : 9781337275361
Author: Bruce Edwards, Ron Larson
With a long history of innovation in the calculus market, the Larson/Edwards’ CALCULUS program has been widely praised by a generation of students and professors for solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title in the series is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. For use in or out of the classroom, the companion website LarsonCalculus.com offers free access to multiple tools and resources to supplement students’ learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Calculus of single variable : with CalcChat and Calcview 1st Table of contents:
Chapter 1: Limits and Their Properties
1.1 A Preview of Calculus
1.2 Finding Limits Graphically and Numerically
1.3 Evaluating Limits Analytically
1.4 Continuity and One-Sided Limits
1.5 Infinite Limits
Review Exercises
P.S. Problem Solving
Chapter 2: Differentiation
2.1 The Derivative and the Tangent Line Problem
2.2 Basic Differentiation Rules and Rates of Change
2.3 Product and Quotient Rules and Higher-Order Derivatives
2.4 The Chain Rule
2.5 Implicit Differentiation
2.6 Related Rates
Review Exercises
P.S. Problem Solving
Chapter 3: Applications of Differentiation
3.1 Extrema on an Interval
3.2 Rolle’s Theorem and the Mean Value Theorem
3.4 Concavity and the Second Derivative Test
3.5 Limits at Infinity
3.6 A Summary of Curve Sketching
3.7 Optimization Problems
3.8 Newton’s Method
3.9 Differentials
Review Exercises
P.S. Problem Solving
Chapter 4: Integration
4.1 Antiderivatives and Indefinite Integration
4.2 Area
4.3 Riemann Sums and Definite Integrals
4.4 The Fundamental Theorem of Calculus
4.5 Integration by Substitution
Review Exercises
P.S. Problem Solving
Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
5.1 The Natural Logarithmic Function: Differentiation
5.2 The Natural Logarithmic Function: Integration
5.3 Inverse Functions
5.4 Exponential Functions: Differentiation and Integration
5.5 Bases Other Than e and Applications
5.6 Indeterminate Forms and L’Hopital’s Rule
5.7 Inverse Trigonometric Functions: Differentiation
5.8 Inverse Trigonometric Functions: Integration
5.9 Hyperbolic Functions
Review Exercises
P.S. Problem Solving
Chapter 6: Differential Equations
6.1 Slope Fields and Euler’s Method
6.2 Growth and Decay
6.3 Separation of Variables and the Logistic Equation
6.4 First-Order Linear Differential Equations
Review Exercises
P.S. 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
Review Exercises
P.S. Problem Solving
Chapter 8: Integration Techniques 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 Numerical Integration
8.7 Integration by Tables and Other Integration Techniques
8.8 Improper Integrals
Review Exercises
P.S. 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
Review Exercises
P.S. 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
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