Essential Calculus


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ESSENTIAL CALCULUS, 2/E textbook
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ISBN

  10 Digit ISBN 13 Digit ISBN
Software Only 0-918091-94-2 978-0-918091-94-9
2nd Edition Textbook with Software Bundle 0-918091-93-4 978-0-918091-93-2
2nd Edition Textbook Only 0-918091-95-0 978-0-918091-95-6


Software Table of Contents


Chapter 1: Functions, Models and Graphs
1.1Real Numbers and Number Lines
1.2Integer Exponents
1.3Fractional Exponents and Radicals
1.4Polynomials
1.5Lines and Their Graphs
1.6aAn Introduction to Functions
1.6bOperations with Functions
1.7Functions and Their Graphs: A Calculator Section
1.8Functions and Models
Chapter 2: Limits, Slopes, and the Derivative
2.1aLeft and Right Hand Limits
2.1bLimits
2.2aAverage Rate of Change
2.2bInstantaneous Rate of Change and Interpreting Graphs
2.3aDefinition of the Derivative and Power Rule
2.3bSlope and Rate of Change Considered Algebraically
2.4Applications: Marginal Analysis
2.5aMore About Limits
2.5bMore About Continuity
Chapter 3: Algebraic Differentiation Rules
3.1Product and Quotient Rules
3.2The Chain Rule and the General Power Rule
3.3Implicit Differentiation and Related Rates
3.4aLocal Extrema
3.4bCritical Points and the First Derivative Test
3.5Absolute Maximum and Minimum
Chapter 4: Applications of the Derivative
4.1aHigher Order Derivatives and Concavity
4.1bHigher Order Derivatives: the Second Derivative Test
4.2Curve Sketching: Polynomial Functions
4.3Curve Sketching: Rational Functions
4.4Business Applications
4.5Other Applications
4.6Differentials
Chapter 5: Exponential and Logarithmic Functions
5.1Exponential Functions
5.2The Algebra of the Natural Logarithm Function
5.3Differentiation of Logarithmic Functions
5.4Differentiation of Exponential Functions
5.5aApplications of Exponential Functions: Growth and Decay
5.5bLogarithmic Differentiation and Elasticity of Demand
Chapter 6: Integration with Applications
6.1The Indefinite Integral
6.2Integration by Substitution
6.3aThe Fundamental Theorem of Calculus
6.3bThe Definite Integral
6.4Area (with Applications)
6.5Area Between Two Curves (with Applications)
6.6Differential Equations
Chapter 7: Additional Integration Topics
7.1Integration by Parts
7.2Annuities and Income Streams
7.3Tables of Integrals
7.4Improper Integrals
7.5Probability
7.6Volume
Chapter 8: Multivariable Calculus
8.1Functions of Several Variables
8.2Partial Derivatives
8.3Local Extrema for Functions of Two Variables
8.4Lagrange Multipliers
8.5The Method of Least Squares
8.6Double Integrals
Chapter 9: The Trigonometric Functions
9.1The Trigonometric Functions
9.2Derivatives of the Trigonometric Functions
9.3Integration of the Trigonometric Functions
9.4Inverse Trigonometric Functions
Chapter 10: Sequences, Taylor Polynomials, and Power Series
10.1Infinite Sequences
10.2Taylor Polynomials
10.3Taylor Series, Infinite Expressions, and Their Applications