For the two semester course, business and social science students.
New four-color format for improved readability and understanding.
EXCEL spreadsheets now appear in examples and exercises, perfect for business students.
New co-author had added tons of new applications, with real data from current sources (very important in this course).
Applied exercises are grouped by subject and highlighted for easy identification.
New chapter on sequences and series, helps us compete better with Goldstein and Barnett.
MathXL for LGR, Calculus with Applications is available ONLY for uploading TestGen-EQ tests. Individualized study plans are still provided, along with complete test-results tracking for instructors, but THERE ARE NO TUTORIALS.
Full prepub available.
Full prepub Excel Spreadsheet Manual available June 8.
**MathXL: The date listed below refers to the generic MathXL coupon. For availability dates for individual MathXL bundles, please refer to the date on the bundle grid.**
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ISBN-13
978-0-201-77325-5 (9780201773255)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Klassifikation
R. Algebra Reference.
R.1 Polynomials.
R.2 Factoring.
R.3 Rational Expressions.
R.4 Equations.
R.5 Inequalities.
R.6 Exponents.
R.7 Radicals.
1. Linear Functions.
Slopes and Equations of Lines.
Linear Functions and Applications.
The Least Squares Line.
2. Nonlinear Functions.
Properties of Functions.
Quadratic Functions; Translation and Reflection.
Polynomial and Rational Functions.
Exponential Functions.
Logarithmic Functions.
Applications. Growth and Decay; Mathematics of Finance.
3. The Derivative.
Limits.
Continuity.
Rates of Change.
Definition of the Derivative.
Graphical Differentiation.
4. Calculating the Derivative.
Techniques for Finding Derivatives.
Derivatives of Products and Quotients.
The Chain Rule.
Derivatives of Exponential Functions.
Derivatives of Logarithmic Functions.
5. Graphs and the Derivative.
Increasing and Decreasing Functions.
Relative Extrema.
Higher Derivatives, Concavity, and the Second Derivative Test.
Curve Sketching.
6. Applications of the Derivative.
Absolute Extrema.
Applications of Extrema.
Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand.
Implicit Differentiation.
Related Rates.
Differentials: Linear Approximation.
7. Integration.
Antiderivatives.
Substitution.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
The Area Between Two Curves.
Numerical Integration.
8. Further Techniques and Applications of Integration.
Integration by Parts.
Volume and Average Value.
Continuous Money Flow.
Improper Integrals.
9. Multivariable Calculus.
Functions of Several Variables.
Partial Derivatives.
Maxima and Minima.
Lagrange Multipliers.
Total Differentials and Approximations.
Double Integrals.
10. Differential Equations.
Solutions of Elementary and Separable Differential Equations.
Linear First-Order Differential Equations.
Euler's Method.
Applications of Differential Equations.
11. Probability and Calculus.
Continuous Probability Models.
Expected Value and Variance of Continuous Random Variables.
Special Probability Density Functions.
12. Sequences and Series.
Geometric Sequences.
Annuities: An Application of Sequences.
Taylor Polynomials at 0.
Infinite Series.
Taylor Series.
Newton's Method.
L'Hopital's Rule.
13. The Trigonometric Functions.
Definitions of the Trigonometric Functions.
Derivatives of Trigonometric Functions.
Integrals of Trigonometric Functions.
Tables.
Table 1. Formulas from Geometry.
Table 2. Area Under a Normal Curve.
Table 3. Integrals.
Table 4. Integrals Involving Trigonometric Functions.
