Finite Mathematics (7TH)

Finite Mathematics (7TH)

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  • 製本 Hardcover:ハードカバー版/ページ数 868 p.
  • 言語 ENG,ENG
  • 商品コード 9780495118428
  • DDC分類 510

Full Description


Get the background you need for future courses and discover the usefulness of mathematical concepts in analyzing and solving problems with FINITE MATHEMATICS, 7th Edition. The author clearly explains concepts, and the computations demonstrate enough detail to allow you to follow-and learn-steps in the problem-solving process. Hundreds of examples, many based on real-world data, illustrate the practical applications of mathematics. The textbook also includes technology guidelines to help you successfully use graphing calculators and Microsoft Excel to solve selected exercises.

Table of Contents

    Functions and Lines                            1  (64)
Functions 2 (12)
Using Your TI-83/84 11 (1)
Using Excel 12 (2)
Graphs and Lines 14 (24)
Using Your TI-83/84: Graphs of Lines 34 (2)
and Evaluating Points on a Line
Using Excel 36 (2)
Mathematical Models and Applications of 38 (27)
Linear Functions
Using Your TI-83/84: Intersection of 57 (1)
Lines
Using Excel 58 (2)
Important Terms in Chapter 1 60 (1)
Review Exercises for Chapter 1 61 (4)
Linear Systems 65 (140)
Systems of Two Equations 66 (16)
Using Excel 81 (1)
Systems with Three Variables: An 82 (25)
Introduction to a Matrix Representation
of a Linear System of Equations
Using Your TI-83/84: Solving a System 103(2)
of Equations Using Row Operations
Using Excel: Solving Systems of 105(2)
Equations Using Row Operations
Gauss-Jordan Method for General Systems 107(22)
of Equations
Using Your TI-83/84: Obtaining the 126(2)
Reduced Echelon Form of a Matrix
Using Excel: General Procedure for 128(1)
Pivoting
Matrix Operations 129(12)
Using Your TI-83/84: Matrix Operations 140(1)
Using Excel: Matrix Addition and Scalar 140(1)
Multiplication
Multiplication of Matrices 141(18)
Using Your TI-83/84: Matrix 158(1)
Multiplication
Using Excel 159(1)
The Inverse of a Matrix 159(17)
Using Your TI-83/84: The Inverse of a 174(1)
Matrix
Using Excel 175(1)
Leontief Input-Output Model in Economics 176(14)
Using Your TI-83/84 188(1)
Using Excel 189(1)
Linear Regression 190(15)
Using Your TI-83/84: Regression Lines 199(1)
Using Excel: To Draw and Find a Linear 200(2)
Regression Line
Important Terms in Chapter 2 202(1)
Review Exercises for Chapter 2 202(3)
Linear Programming 205(56)
Linear Inequalities in Two Variables 206(7)
Solutions of Systems of Inequalities: A 213(12)
Geometric Picture
Using Your TI-83/84: Finding Corner 221(2)
Points of a Feasible Region
Using Excel 223(2)
Linear Programming: A Geometric Approach 225(25)
Using Your TI-83/84: Evaluate the 248(2)
Objective Function
Using Excel: Evaluate an Objective 250(1)
Function
Applications 250(11)
Important Terms in Chapter 3 258(1)
Review Exercises for Chapter 3 258(3)
Linear Programming: The Simplex Method 261(102)
Setting Up the Simplex Method 262(11)
The Simplex Method 273(26)
Using Your TI-83/84: A Program for the 293(2)
Simplex Method
Using Excel 295(4)
The Standard Minimum Problem: Duality 299(8)
Mixed Constraints 307(23)
Using Excel 329(1)
Multiple Solutions, Unbounded Solutions, 330(9)
and No Solutions
What's Happening in the Simplex Method? 339(8)
(Optional)
Sensitivity Analysis 347(16)
Important Terms in Chapter 4 358(1)
Review Exercises for Chapter 4 358(5)
Mathematics of Finance 363(60)
Simple Interest 364(8)
Compound Interest 372(16)
Using Your TI-83/84: Making a Table 386(1)
Using Excel 387(1)
Annuities and Sinking Funds 388(11)
Using Your TI-83/84: Growth of Annuities 397(1)
Using Excel 398(1)
Present Value of an Annuity and 399(24)
Amortization
Using Your TI-83/84: Monthly Loan 418(1)
Payments
Using Excel 419(1)
Important Terms in Chapter 5 419(1)
Summary of Formulas in Chapter 5 420(1)
Review Exercises for Chapter 5 420(3)
Sets and Counting 423(72)
Sets 424(8)
Counting Elements in a Subset Using a 432(8)
Venn Diagram
Basic Counting Principles 440(12)
Permutations 452(10)
Using Your TI-83/84: Permutations 462(1)
Using Excel: Permutations 462(1)
Combinations 462(16)
Using Your TI-83/84: Combinations 477(1)
Using Excel: Combinations 478(1)
A Mixture of Counting Problems 478(6)
Partitions (Optional) 484(11)
Important Terms in Chapter 6 491(1)
Review Exercises for Chapter 6 491(4)
Probability 495(102)
Introduction to Probability 496(13)
Equally Likely Events 509(10)
Compound Events: Union, Intersection, and 519(13)
Complement
Conditional Probability 532(15)
Independent Events 547(17)
Bayes Rule 564(15)
Markov Chains 579(18)
Important Terms in Chapter 7 593(1)
Review Exercises for Chapter 7 593(4)
Statistics 597(134)
Frequency Distributions 598(19)
Using Your TI-83/84: Histograms 613(2)
Using Excel: Histograms and Pie Charts 615(2)
Measures of Central Tendency 617(13)
Using Your TI-83/84: Calculating the 628(1)
Mean and Median
Using Excel: Calculate the Mean and 629(1)
Median
Measures of Dispersion: Range, Variance, 630(18)
and Standard Deviation
Using Your TI-83/84 645(2)
Using Excel: Measures of Dispersion 647(1)
Random Variables and Probability 648(10)
Distributions of Discrete Random Variables
Expected Value of a Random Variable 658(10)
Bernoulli Experiments and Binomial 668(15)
Distribution
Using Your TI-83/84: Binomial 681(2)
Probability Distribution
Normal Distribution 683(30)
Using Your TI-83/84: Area Under the 712(1)
Normal Curve
Using Excel 713(1)
Estimating Bounds on a Proportion 713(18)
Important Terms in Chapter 8 727(1)
Review Exercises for Chapter 8 728(3)
Game Theory 731(22)
Two-Person Games 732(8)
Mixed-Strategy Games 740(13)
Important Terms in Chapter 9 750(1)
Review Exercises for Chapter 9 750(3)
Logic 753(24)
Statements 754(6)
Conditional Statements 760(6)
Equivalent Statements 766(2)
Valid Arguments 768(9)
Important Terms in Chapter 10 775(1)
Review Exercises for Chapter 10 775(2)
A. REVIEW TOPICS 777(18)
Properties of Real Numbers 777(3)
Solving Linear Equations 780(4)
Coordinate Systems 784(3)
Linear Inequalities and Interval Notation 787(8)
Important Terms in Appendix A 793(2)
B. USING A TI-83/84 GRAPHING CALCULATOR 795(10)
Notation 795(1)
Arithmetic Operations 795(1)
Graphing 796(1)
Evaluating a Function 797(1)
Finding the Intersection of Two Graphs 797(1)
Constructing a Table 798(1)
Matrices 799(2)
Statistics 801(4)
C. USING EXCEL 805(2)
Answers to Selected Odd-Numbered Exercises 807(58)
Index 865