Applied mathematics for the managerial, life, and social sciences:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Pacific Grove, Calif.
Brooks/Cole
2013
|
| Edition: | 6. ed., internat. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXIII, 941 S. graph. Darst. 25 cm |
| ISBN: | 9781133109310 |
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MARC
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Record in the Search Index
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| adam_text | Titel: Applied mathematics for the managerial, life, and social sciences
Autor: Tan, Soo Tang
Jahr: 2013
CONTENTS
CHAPTER 1
CHAPTER 2
CHAPTER 3
Preface xi
Fundamentals of Algebra 1
1.1 Real Numbers 2
1.2 Polynomials 7
1.3 Factoring polynomials 15
1.4 Rational Expressions 20
1.5 Integral Exponents 27
1.6 Solving Equations 31
1.7 Rational Exponents and Radicals 37
1.8 Quadratic Equations 46
1.9 Inequalities and Absolute Value 55
Chapter I Summary of Principal Formulas and Terms 64
Chapter I Concept Review Questions 65
Chapter 1 Review Exercises 65
Chapter 1 Before Moving On 67
Functions and Their Graphs 69
2.1 The Cartesian Coordinate System and Straight Lines 70
2.2 Equations of Lines 76
Using Technology: Graphing a Straight Line 86
2.3 Functions and Their Graphs 89
Using Technology: Graphing a Function 101
2.4 The Algebra of Functions 105
2.5 Linear Functions 113
Using Technology: Linear Functions 123
2.6 Quadratic Functions 126
PORTFOLIO: Todd Kodet 130
Using Technology: Finding the Points of Intersection of Two Graphs 135
2.7 Functions and Mathematical Models 137
PORTFOLIO: Melissa Rich 141
Using Technology: Constructing Mathematical Models from Raw Data 149
Chapter 2 Summary of Principal Formulas and Terms 152
Chapter 2 Concept Review Questions 153
Chapter 2 Review Exercises 154
Chapter 2 Before Moving On 156
Exponential and Logarithmic Functions 157
3.1 Exponential Functions 158
Using Technology 164
3.2 Logarithmic functions 166
CHAPTER 4
CHAPTER 5
CHAPTER 6
3.3 Exponential Functions as Mathematical Models 175
PORTFOLIO: Carol A. Reeb, Ph.D. 176
Using Technology: Analyzing Mathematical Models 184
Chapter 3 Summary of Principal Formulas and Terms 186
Chapter 3 Concept Review Questions 186
Chapter 3 Review Exercises 187
Chapter 3 Before Moving On 188
Mathematics of Finance 189
4.1 Compound Interest 190
Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate
of Interest, and the Present Value of an Investment 205
4.2 Annuities 208
Using Technology: Finding the Amount of an Annuity 217
4.3 Amortization and Sinking Funds 220
Using Technology: Amortizing a Loan 232
4.4 Arithmetic and Geometric Progressions 234
Chapter 4 Summary of Principal Formulas and Terms 243
Chapter 4 Concept Review Questions 243
Chapter 4 Review Exercises 244
Chapter 4 Before Moving On 245
Systems of Linear Equations and Matrices 247
5.1 Systems of Linear Equations: An Introduction 248
5.2 Systems of Linear Equations: Unique Solutions 255
Using Technology: Systems of Linear Equations: Unique Solutions 270
5.3 Systems of Linear Equations: Underdetermined and Overdetermined Systems 272
Using Technology: Systems of Linear Equations: Underdetermined and Overdetermined
Systems 281
5.4 Matrices 282
Using Technology: Matrix Operations 292
5.5 Multiplication of Matrices 295
Using Technology: Matrix Multiplication 307
5.6 The Inverse of a Square Matrix 309
Using Technology: Finding the Inverse of a Square Matrix 321
Chapter 5 Summary of Principal Formulas and Terms 324
Chapter 5 Concept Review Questions 325
Chapter 5 Review Exercises 325
Chapter 5 Before Moving On 327
Linear Programming 329
6.1 Graphing Systems of Linear Inequalities in Two Variables 330
6.2 Linear Programming Problems 338
6.3 Graphical Solution of Linear Programming Problems 346
6.4 The Simplex Method: Standard Maximization Problems 359
Using Technology: The Simplex Method: Solving Maximization Problems 380
CHAPTER 7
CHAPTER 8
CHAPTER 9
6.5 The Simplex Method: Standard Minimization Problems 384
PORTFOLIO: Chad Smith 386
Using Technology: The Simplex Method: Solving Minimization Problems 397
Chapter 6 Summary of Principal Terms 400
Chapter 6 Concept Review Questions 400
Chapter 6 Review Exercises 401
Chapter 6 Before Moving On 403
Sets and Probability 405
7.1 Sets and Set Operations 406
7.2 The Number of Elements in a Finite Set 415
7.3 The Multiplication Principle 422
7.4 Permutations and Combinations 427
PORTFOLIO: Lara Solanki 431
Using Technology: Evaluating n , P(n, r), and C(n, r) 440
7.5 Experiments, Sample Spaces, and Events 441
7.6 Definition of Probability 449
7.7 Rules of Probability 459
Chapter 7 Summary of Principal Formulas and Terms 468
Chapter 7 Concept Review Questions 469
Chapter 7 Review Exercises 469
Chapter 7 Before Moving On 472
Additional Topics in Probability 473
8.1 Use of Counting Techniques in Probability 474
8.2 Conditional Probability and Independent Events 481
8.3 Bayes Theorem 495
8.4 Distributions of Random Variables 505
Using Technology: Graphing a Histogram 513
8.5 Expected Value 516
PORTFOLIO: Robert H. Mason 523
8.6 Variance and Standard Deviation 529
Using Technology: Finding the Mean and Standard Deviation 540
Chapter 8 Summary of Principal Formulas and Terms 542
Chapter 8 Concept Review Questions 542
Chapter 8 Review Exercises 543
Chapter 8 Before Moving On 544
The Derivative 547
9.1 Limits 548
Using Technology: Finding the Limit of a Function 566
9.2 One-Sided Limits and Continuity 568
Using Technology: Finding the Points of Discontinuity of a Function 582
9.3 The Derivative 584
Using Technology: Graphing a Function and Its Tangent Line 600
CHAPTER 10
CHAPTER 11
9.4 Basic Rules of Differentiation 603
Using Technology: Finding the Rate of Change of a Function 614
9.5 The Product and Quotient Rules; Higher-Order Derivatives 616
Using Technology: The Product and Quotient Rules 629
9.6 The Chain Rule 632
Using Technology: Finding the Derivative of a Composite Function 643
9.7 Differentiation of Exponential and Logarithmic Functions 645
Using Technology 655
9.8 Marginal Functions in Economics 657
Chapter 9 Summary of Principal Formulas and Terms 666
Chapter 9 Concept Review Questions 667
Chapter 9 Review Exercises 668
Chapter 9 Before Moving On 671
Applications of the Derivative 673
10.1 Applications of the First Derivative 674
Using Technology: Using the First Derivative to Analyze a Function 691
10.2 Applications of the Second Derivative 694
10.3 Curve Sketching 711
Using Technology: Analyzing the Properties of a Function 723
10.4 Optimization I 726
Using Technology: Finding the Absolute Extrema of a Function 739
10.5 Optimization II 740
Chapter 10 Summary of Principal Terms 751
Chapter 10 Concept Review Questions 751
Chapter 10 Review Exercises 752
Chapter 10 Before Moving On 755
Integration 757
11.1 Antiderivatives and the Rules of Integration 758
11.2 Integration by Substitution 771
11.3 Area and the Definite Integral 781
11.4 The Fundamental Theorem of Calculus 790
PORTFOLIO: Molly H. Fisher, David C. Royster, Diandra Leslie-Pelecky 791
Using Technology: Evaluating Definite Integrals 801
11.5 Evaluating Definite Integrals 802
Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions 813
11.6 Area Between Two Curves 814
Using Technology: Finding the Area Between Two Curves 825
11.7 Applications of the Definite Integral to Business and Economics 826
Using Technology: Business and Economic Applications/Technology Exercises 838
Chapter 11 Summary of Principal Formulas and Terms 839
Chapter 11 Concept Review Questions 840
Chapter 11 Review Exercises 841
Chapter 11 Before Moving On 844
CHAPTER 12
Calculus of Several Variables 845
12.1 Functions of Several Variables 846
12.2 Partial Derivatives 856
PORTFOLIO: Karthik Ramachandran 857
Using Technology: Finding Partial Derivatives at a Given Point 869
12.3 Maxima and Minima of Functions of Several Variables 870
Chapter 12 Summary of Principal Terms 880
Chapter 12 Concept Review Questions 880
Chapter 12 Review Exercises 881
Chapter 12 Before Moving On 882
Answers 883
Index 937
How-To Technology Index 950
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| edition | 6. ed., internat. ed. |
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| isbn | 9781133109310 |
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| spelling | Tan, Soo Tang Verfasser aut Applied mathematics for the managerial, life, and social sciences Soo T. Tan 6. ed., internat. ed. Pacific Grove, Calif. Brooks/Cole 2013 XXIII, 941 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Mathematics / Textbooks Mathematik HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024953031&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tan, Soo Tang Applied mathematics for the managerial, life, and social sciences Mathematics / Textbooks Mathematik |
| title | Applied mathematics for the managerial, life, and social sciences |
| title_auth | Applied mathematics for the managerial, life, and social sciences |
| title_exact_search | Applied mathematics for the managerial, life, and social sciences |
| title_full | Applied mathematics for the managerial, life, and social sciences Soo T. Tan |
| title_fullStr | Applied mathematics for the managerial, life, and social sciences Soo T. Tan |
| title_full_unstemmed | Applied mathematics for the managerial, life, and social sciences Soo T. Tan |
| title_short | Applied mathematics for the managerial, life, and social sciences |
| title_sort | applied mathematics for the managerial life and social sciences |
| topic | Mathematics / Textbooks Mathematik |
| topic_facet | Mathematics / Textbooks Mathematik |
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