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Single Variable Calculus Early Transcendentals, Volume 1
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Table of Contents
|Functions and Models|
|Four Ways to Represent a Function|
|Mathematical Models: A Catalog of Essential Functions|
|New Functions from Old Functions|
|Graphing Calculators and Computers|
|Inverse Functions and Logarithms|
|Principles of Problem Solving|
|Limits and Derivatives|
|The Tangent and Velocity Problems|
|The Limit of a Function|
|Calculating Limits Using the Limit Laws|
|The Precise Definition of a Limit|
|Limits at Infinity|
|Derivatives and Rates of Change|
|Writing Project: Early Methods for Finding Tangents|
|The Derivative as a Function|
|Derivatives of Polynomials and Exponential Functions|
|Applied Project: Building a Better Roller Coaster|
|The Product and Quotient Rules|
|Derivatives of Trigonometric Functions|
|The Chain Rule|
|Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation|
|Derivatives of Logarithmic Functions|
|Rates of Change in the Natural and Social Sciences|
|Exponential Growth and Decay|
|Linear Approximations and Differentials|
|Laboratory Project: Taylor Polynomials|
|Applications of Differentiation|
|Maximum and Minimum Values|
|Applied Project: The Calculus of Rainbows|
|The Mean Value Theorem|
|How Derivatives Affect the Shape of a Graph|
|Indeterminate Forms and L'Hospital's Rule|
|Writing Project: The Origins of L'Hospital's Rule|
|Summary of Curve Sketching|
|Graphing with Calculus and Calculators|
|Applied Project: The Shape of a Can|
|Applications to Business and Economics|
|Areas and Distances|
|The Definite Integral|
|Discovery Project: Area Functions|
|The Fundamental Theorem of Calculus|
|Indefinite Integrals and the Total Change Theorem|
|Writing Project: Newton, Leibniz, and the Invention of Calculus|
|The Substitution Rule|
|Applications of Integration|
|Areas between Curves|
|Volumes by Cylindrical Shells|
|Average Value of a Function|
|Applied Project: Where to Sit at the Movies|
|Intervals, Inequalities, and Absolute Values|
|Coordinate Geometry and Lines|
|Graphs of Second-Degree Equations|
|Proofs of Theorems|
|Answers to Odd-Numbered Exercises|
|Table of Contents provided by Publisher. All Rights Reserved.|