Essential Calculus

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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 1.1 Real Numbers and Number Lines 1.2 Integer Exponents 1.3 Fractional Exponents and Radicals 1.4 Polynomials 1.5 Lines and Their Graphs 1.6a An Introduction to Functions 1.6b Operations with Functions 1.7 Functions and Their Graphs: A Calculator Section 1.8 Functions and Models Chapter 2: Limits, Slopes, and the Derivative 2.1a Left and Right Hand Limits 2.1b Limits 2.2a Average Rate of Change 2.2b Instantaneous Rate of Change and Interpreting Graphs 2.3a Definition of the Derivative and Power Rule 2.3b Slope and Rate of Change Considered Algebraically 2.4 Applications: Marginal Analysis 2.5a More About Limits 2.5b More About Continuity Chapter 3: Algebraic Differentiation Rules 3.1 Product and Quotient Rules 3.2 The Chain Rule and the General Power Rule 3.3 Implicit Differentiation and Related Rates 3.4a Local Extrema 3.4b Critical Points and the First Derivative Test 3.5 Absolute Maximum and Minimum Chapter 4: Applications of the Derivative 4.1a Higher Order Derivatives and Concavity 4.1b Higher Order Derivatives: the Second Derivative Test 4.2 Curve Sketching: Polynomial Functions 4.3 Curve Sketching: Rational Functions 4.4 Business Applications 4.5 Other Applications 4.6 Differentials Chapter 5: Exponential and Logarithmic Functions 5.1 Exponential Functions 5.2 The Algebra of the Natural Logarithm Function 5.3 Differentiation of Logarithmic Functions 5.4 Differentiation of Exponential Functions 5.5a Applications of Exponential Functions: Growth and Decay 5.5b Logarithmic Differentiation and Elasticity of Demand

Chapter 6: Integration with Applications 6.1 The Indefinite Integral 6.2 Integration by Substitution 6.3a The Fundamental Theorem of Calculus 6.3b The Definite Integral 6.4 Area (with Applications) 6.5 Area Between Two Curves (with Applications) 6.6 Differential Equations Chapter 7: Additional Integration Topics 7.1 Integration by Parts 7.2 Annuities and Income Streams 7.3 Tables of Integrals 7.4 Improper Integrals 7.5 Probability 7.6 Volume Chapter 8: Multivariable Calculus 8.1 Functions of Several Variables 8.2 Partial Derivatives 8.3 Local Extrema for Functions of Two Variables 8.4 Lagrange Multipliers 8.5 The Method of Least Squares 8.6 Double Integrals Chapter 9: The Trigonometric Functions 9.1 The Trigonometric Functions 9.2 Derivatives of the Trigonometric Functions 9.3 Integration of the Trigonometric Functions 9.4 Inverse Trigonometric Functions Chapter 10: Sequences, Taylor Polynomials, and Power Series 10.1 Infinite Sequences 10.2 Taylor Polynomials 10.3 Taylor Series, Infinite Expressions, and Their Applications