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ISBN 10: 0321945514
ISBN 13: 978-0321945518
Author: Raymond Barnett, Michael Ziegler, Karl Byleen
Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market―with special emphasis on prerequisites skills―and a host of student-friendly features to help students catch up or learn on their own.
KEY TOPICS: A LIBRARY OF ELEMENTARY FUNCTIONS; Linear Equations and Graphs; Functions and Graphs; FINITE MATHEMATICS; Mathematics of Finance; Systems of Linear Equations; Matrices; Linear Inequalities and Linear Programming; Linear Programming: The Simplex Method; Logic, Sets, and Counting; Probability; Markov Chains; THREE: CALCULUS; Limits and the Derivative; Additional Derivative Topics; Graphing and Optimization; Integration; Additional Integration Topics; Multivariable Calculus; APPENDICES; Basic Algebra Review; Special Topics; Tables; Basic Geometric Formulas; Integration Formulas
College Mathematics for Business Economics Life Sciences and Social Sciences 13th Table of contents:
Part 1: Algebra and Functions
Chapter 1: Linear Equations and Graphs: Covers linear equations, inequalities, graphing lines, and linear regression.
Chapter 2: Functions and Graphs: Explores functions, their graphs, transformations, quadratic, polynomial, rational, exponential, and logarithmic functions.
Part 2: Finite Mathematics
Chapter 3: Mathematics of Finance: Deals with simple and compound interest, future and present value of annuities, and amortization.
Chapter 4: Systems of Linear Equations; Matrices: Covers systems of linear equations, augmented matrices, Gauss-Jordan elimination, matrix operations, inverse matrices, matrix equations, and Leontief input-output analysis.
Chapter 5: Linear Inequalities and Linear Programming: Focuses on linear inequalities, systems of linear inequalities, and linear programming in two dimensions.
Chapter 6: Linear Programming: The Simplex Method: Explores the simplex method for solving linear programming problems, including maximization and minimization with various constraints.
Chapter 7: Logic, Sets, and Counting: Covers logic, set theory, basic counting principles, permutations, and combinations.
Chapter 8: Probability: Introduces probability, sample spaces, events, conditional probability, Bayes’ formula, random variables, and expected value.
Chapter 9: Markov Chains: Deals with the properties, regular and absorbing Markov chains.
Part 3: Calculus
Chapter 10: Limits and the Derivative: Introduces limits, infinite limits, continuity, the derivative, basic differentiation properties, differentials, and marginal analysis.
Chapter 11: Additional Derivative Topics: Covers the constant e, derivatives of exponential and logarithmic functions, derivatives of products and quotients, the chain rule, implicit differentiation, related rates, and elasticity of demand.
Chapter 12: Graphing and Optimization: Focuses on using derivatives for graphing, L’Hôpital’s rule, curve sketching, absolute maxima and minima, and optimization problems.
Chapter 13: Integration: Introduces antiderivatives, indefinite integrals, integration by substitution, differential equations, the definite integral, and the Fundamental Theorem of Calculus.
Chapter 14: Additional Integration Topics: Covers area between curves, applications in business and economics, integration by parts, and other integration methods.
Chapter 15: Multivariable Calculus: Introduces functions of several variables, partial derivatives, maxima and minima, Lagrange multipliers, the method of least squares, and double integrals.
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