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Chapter 1 PRECALCULUS REVIEW
1.1 Real Numbers, Functions, Equations, and Graphs
1.2 Linear and Quadratic Functions
1.3 The Basic Classes of Functions
1.4 Trigonometric Functions
1.5 Inverse Functions
1.6 Exponential and Logarithmic Functions
1.7 Technology: Calculators and Computers
Chapter 2 LIMITS
2.1 Limits, Rates of Change, and Tangent Lines
2.2 Limits: A Numerical and Graphical Approach
2.3 Basic Limit Laws
2.4 Limits and Continuity
2.5 Evaluating Limits Algebraically
2.6 Trigonometric Limits
2.7 Intermediate Value Theorem
2.8 The Formal Definition of a Limit
Chapter 3 DIFFERENTIATION
3.1 Definition of the Derivative
3.2 The Derivative as a Function
3.3 Product and Quotient Rules
3.4 Rates of Change
3.5 Higher Derivatives
3.6 Derivatives of Trigonometric Functions
3.7 The Chain Rule
3.8 Implicit Differentiation
3.9 Derivatives of Inverse Functions
3.10 Derivatives of Logarithmic Functions
3.11 Related Rates
Chapter 4 APPLICATIONS OF THE DERIVATIVE
4.1 Linear Approximation and Applications
4.2 Extreme Values
4.3 The Mean Value Theorem and Monotonicity
4.4 The Shape of a Graph
4.5 Graph Sketching and Asymptotes
4.6 Applied Optimization
4.7 L'Hoˆpital's Rule
4.8 Newton's Method
4.9 Antiderivatives
Chapter 5 THE INTEGRAL
5.1 Approximating and Computing Area
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus, Part I
5.4 The Fundamental Theorem of Calculus, Part II
5.5 Net or Total Change as the Integral of a Rate
5.6 Substitution Method
5.7 Integrals of Exponential and Logarithmic Functions
5.8 Exponential Growth and Decay
Chapter 6 APPLICATIONS OF THE INTEGRAL
6.1 Area Between Two Curves
6.2 Setting Up Integrals: Volumes, Density, Average Value
6.3 Volumes of Revolution
6.4 The Method of Cylindrical Shells
6.5 Work and Energy
Chapter 7 TECHNIQUES OF INTEGRATION
7.1 Numerical Integration
7.2 Integration by Parts
7.3 Trigonometric Integrals
7.4 Trigonometric Substitution
7.5 Integrals of Hyperbolic and Inverse Hyperbolic Functions
7.6 The Method of Partial Fractions
7.7 Improper Integrals
Chapter 8 FURTHER APPLICATIONSOF THE INTEGRAL AND TAYLOR POLYNOMIALS
8.1 Arc Length and Surface Area
8.2 Fluid Pressure and Force
8.3 Center of Mass
8.4 Taylor Polynomials
Chapter 9 INTRODUCTION TO DIFFERENTIAL EQUATIONS
9.1 Separable Equations
9.2 Models Involving y'= k(y-b)
9.3 Graphical and Numerical Methods
9.4 The Logistic Equation
9.5 First-order Linear Equations
Chapter 10 INFINITE SERIES
10.1 Sequences
10.2 Summing an Infinite Series
10.3 Convergence of Series with Positive Terms
10.4 Absolute and Conditional Convergence
10.5 The Ratio and Root Tests
10.6 Power Series
10.7 Taylor Series
Chapter 11 PARAMETRIC EQUATIONS, mPOLAR COORDINATES, AND CONIC SECTIONS
11.1 Parametric Equations
11.2 Arc Length and Speed
11.3 Polar Coordinates
11.4 Area and Arc Length in Polar Coordinates
11.5 Conic Sections
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Add Single Variable Calculus: Early Transcendentals, Organized to support an early transcendentals approach to the single variable course, this version of Rogawski's highly anticipated text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in , Single Variable Calculus: Early Transcendentals to the inventory that you are selling on WonderClubX
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Add Single Variable Calculus: Early Transcendentals, Organized to support an early transcendentals approach to the single variable course, this version of Rogawski's highly anticipated text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in , Single Variable Calculus: Early Transcendentals to your collection on WonderClub |