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Solution Manual for Calculus, 1st Edition by Briggs and Cochran

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Product details:

  • ISBN-10 ‏ : ‎ 0321664140
  • ISBN-13 ‏ : ‎ 978-0321664143
  • Author: William Briggs

Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice–evident in the narrative, the figures, and the questions interspersed in the narrative–is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers’ geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope.

Table contents:

  • 1.1 Review of Functions
  • 1.2 Representing Functions
  • 1.3 Inverse, Exponential, and Logarithmic Functions
  • 1.4 Trigonometric Functions and Their Inverses
  • Review Exercises
  • 2.1 The Idea of Limits
  • 2.2 Definitions of Limits
  • 2.3 Techniques for Computing Limits
  • 2.4 Infinite Limits
  • 2.5 Limits at Infinity
  • 2.6 Continuity
  • 2.7 Precise Definitions of Limits
  • Review Exercises
  • 3.1 Introducing the Derivative
  • 3.2 The Derivative as a Function
  • 3.3 Rules of Differentiation
  • 3.4 The Product and Quotient Rules
  • 3.5 Derivatives of Trigonometric Functions
  • 3.6 Derivatives as Rates of Change
  • 3.7 The Chain Rule
  • 3.8 Implicit Differentiation
  • 3.9 Derivatives of Logarithmic and Exponential Functions
  • 3.10 Derivatives of Inverse Trigonometric Functions
  • 3.11 Related Rates
  • Review Exercises
  • 4.1 Maxima and Minima
  • 4.2 Mean Value Theorem
  • 4.3 What Derivatives Tell Us
  • 4.4 Graphing Functions
  • 4.5 Optimization Problems
  • 4.6 Linear Approximation and Differentials
  • 4.7 L’Hôpital’s Rule
  • 4.8 Newton’s Method
  • 4.9 Antiderivatives
  • Review Exercises
  • 5.1 Approximating Areas under Curves
  • 5.2 Definite Integrals
  • 5.3 Fundamental Theorem of Calculus
  • 5.4 Working with Integrals
  • 5.5 Substitution Rule
  • Review Exercises
  • 6.1 Velocity and Net Change
  • 6.2 Regions Between Curves
  • 6.3 Volume by Slicing
  • 6.4 Volume by Shells
  • 6.5 Length of Curves
  • 6.6 Surface Area
  • 6.7 Physical Applications
  • Review Exercises
  • 7.1 Logarithmic and Exponential Functions Revisited
  • 7.2 Exponential Models
  • 7.3 Hyperbolic Functions
  • Review Exercises
  • 8.1 Basic Approaches
  • 8.2 Integration by Parts
  • 8.3 Trigonometric Integrals
  • 8.4 Trigonometric Substitutions
  • 8.5 Partial Fractions
  • 8.6 Integration Strategies
  • 8.7 Other Methods of Integration
  • 8.8 Numerical Integration
  • 8.9 Improper Integrals
  • Review Exercises
  • 9.1 Basic Ideas
  • 9.2 Direction Fields and Euler’s Method
  • 9.3 Separable Differential Equations
  • 9.4 Special First-Order Linear Differential Equations
  • 9.5 Modeling with Differential Equations
  • Review Exercises
  • 10.1 An Overview
  • 10.2 Sequences
  • 10.3 Infinite Series
  • 10.4 The Divergence and Integral Tests
  • 10.5 Comparison Tests
  • 10.6 Alternating Series
  • 10.7 The Ratio and Root Tests
  • 10.8 Choosing a Convergence Test
  • Review Exercises
  • 11.1 Approximating Functions with Polynomials
  • 11.2 Properties of Power Series
  • 11.3 Taylor Series
  • 11.4 Working with Taylor Series
  • Review Exercises
  • 12.1 Parametric Equations
  • 12.2 Polar Coordinates
  • 12.3 Calculus in Polar Coordinates
  • 12.4 Conic Sections
  • Review Exercises
  • 13.1 Vectors in the Plane
  • 13.2 Vectors in Three Dimensions
  • 13.3 Dot Products
  • 13.4 Cross Products
  • 13.5 Lines and Planes in Space
  • 13.6 Cylinders and Quadric Surfaces
  • Review Exercises
  • 14.1 Vector-Valued Functions
  • 14.2 Calculus of Vector-Valued Functions
  • 14.3 Motion in Space
  • 14.4 Length of Curves
  • 14.5 Curvature and Normal Vectors
  • Review Exercises
  • 15.1 Graphs and Level Curves
  • 15.2 Limits and Continuity
  • 15.3 Partial Derivatives
  • 15.4 The Chain Rule
  • 15.5 Directional Derivatives and the Gradient
  • 15.6 Tangent Planes and Linear Approximation
  • 15.7 Maximum/Minimum Problems
  • 15.8 Lagrange Multipliers
  • Review Exercises
  • 16.1 Double Integrals over Rectangular Regions
  • 16.2 Double Integrals over General Regions
  • 16.3 Double Integrals in Polar Coordinates
  • 16.4 Triple Integrals
  • 16.5 Triple Integrals in Cylindrical and Spherical Coordinates
  • 16.6 Integrals for Mass Calculations
  • 16.7 Change of Variables in Multiple Integrals
  • Review Exercises
  • 17.1 Vector Fields
  • 17.2 Line Integrals
  • 17.3 Conservative Vector Fields
  • 17.4 Green’s Theorem
  • 17.5 Divergence and Curl
  • 17.6 Surface Integrals
  • 17.7 Stokes’ Theorem
  • 17.8 Divergence Theorem
  • Review Exercises
  • D2.1 Basic Ideas
  • D2.2 Linear Homogeneous Equations
  • D2.3 Linear Nonhomogeneous Equations
  • D2.4 Applications
  • D2.5 Complex Forcing Functions
  • Review Exercises

Appendix A. Proofs of Selected Theorems Appendix B. Algebra Review ONLINE Appendix C. Complex Numbers ONLINE Answers Index Table of Integrals

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