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FINITE 1st Edition

Geoffrey C. Berresford, Andrew M. Rockett

  • Published
  • 320 Pages
Starting At 100.00 See pricing and ISBN options

Overview

Created through a "student-tested, faculty-approved" review process, FINITE is an engaging and accessible solution to accommodate the diverse lifestyles of today's learners at a value-based price. FINITE uses intriguing, real-world applications to capture the interest of business, economics, life science, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers. An innovative combination of content delivery both in print and online provides a core text and a wealth of comprehensive multimedia teaching and learning assets, including end-of-chapter review cards, downloadable flashcards and practice problems, online video tutorials, solutions to exercises aimed at supplementing learning outside of the classroom. Also available is Cengage Learning's Enhanced WebAssign®—a complete online homework management system for students and professors.

Geoffrey C. Berresford, Long Island University

Dr. Berresford received his Ph.D. from the Courant Institute of Mathematical Sciences at New York University and taught at the State University of New York at Purchase before joining the faculty at the C.W. Post campus of Long Island University. Besides co-authoring four textbooks with Dr. Rockett, he has published papers in differential equations, linear programming, logic, and probability, and has received several teaching awards and the Distinguished Service Award from The Metropolitan New York Section of the Mathematical Association of America.

Andrew M. Rockett, Long Island University

After completing his Ph.D. at Stony Brook University, Dr. Rockett joined the mathematics faculty at C.W. Post and began his collaborations with Dr. Berresford. His book with Peter Szusz on CONTINUED FRACTIONS (1992) was hailed by Ivan Niven as "an outstanding addition to the literature of mathematics," and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal The Pentagon from 1989 to 1995. Dr. Rockett serves as a reviewer for several journals, including Mathematical Reviews for the American Mathematical Society.
  • An innovative combination of content delivered both in print and online provides a core text and a wealth of comprehensive multimedia teaching and learning assets based on input from student focus groups, surveys, and interviews.
  • Shorter, comprehensive chapters in a modern design present content in a more engaging and accessible format without minimizing coverage for your course.
  • Detachable Review Cards for each chapter provide students a portable study tool containing information to prepare for class and for tests, including section summaries and review exercises.
  • Detachable Tech Cards in both the Student and Instructor Editions contain tips for using graphing calculators and Excel.
  • Detachable Instructor Prep Cards for each chapter make preparation simple by offering chapter summaries, chapter outlines, and lists of applications.
  • A full suite of unique learning tools that appeal to different learning styles is available to students with the purchase of a new book. Interactive quizzes, videos, extra examples and problems, flashcards, answers and solutions, and more are only a click away.
  • All of the content and resources you expect with a supplements package that is second to none including PowerLecture (an instructor CD/DVD), an Instructor's Edition, an e-book, an online Instructor's Manual, and an online Student's Solutions Manual.
  • Exclusively from Cengage Learning, Enhanced WebAssign® offers an extensive online program for Applied Calculus to encourage the practice that's so critical for concept mastery. The meticulously crafted pedagogy and exercises in our proven texts become even more effective in Enhanced WebAssign, supplemented by multimedia tutorial support and immediate feedback as students complete their assignments.
1. FUNCTIONS.
1.1 Real Numbers, Inequalities, and Lines.
Real Numbers and Inequalities. Sets and Intervals. The Cartesian Plane. Lines and Slopes. Equations of Lines. General Linear Equation.
1.2 Exponents.
Positive Integer Exponents. Properties of Exponents. Zero and Negative Exponents. Roots and Fractional Exponents. Fractional Exponents. Avoiding Pitfalls in Simplifying. Learning Curves in Airplane Production.
1.3 Functions.
Functions. Solving Quadratic Equations. Derivation of the Vertex Formula. Derivation of the Quadratic Formula.
1.4 More About Functions.
Polynomial Functions. Rational Functions. Piecewise Linear Functions. Composite Functions. Shifts of Graphs.
1.5 Exponential Functions.
Exponential Functions. Compound Interest. Depreciation by a Fixed Percentage. The Number e. Continuous Compounding of Interest. Intuitive Meaning of Continuous Compounding. The Function y = ex. Exponential Growth. Justification of the Formula for Continuous Compounding.
1.6 Logarithmic Functions.
Common Logarithms. Properties of Common Logarithms. Graphs of Logarithmic and Exponential Functions. Logarithms to Other Bases. Natural Logarithms. Carbon-14 Dating.
2. MATHEMATICS OF FINANCE.
2.1 Simple Interest.
Simple Interest Formula. Total Amount Due on a Loan. Discounted Loans and Effective Interest Rates.
2.2 Compound Interest.
Compound Interest Formula. Growth Times. Rule of 72. Effective Rates. Recap.
2.3 Annuities.
A First Example. Geometric Series. Accumulated Account Formula. Sinking Funds. How Long Will It Take?.
2.4 Amortization.
Present Value of an Annuity. Amortization. Unpaid Balance. Equity.
3. SYSTEMS OF EQUATIONS AND MATRICES.
3.1 Systems of Two Linear Equations in Two Variables.
Systems of Equations. Graphical Representations of Equations. Equivalent Systems of Equations. Elimination Method.
3.2 Matrices and Linear Equations in Two Variables.
Matrices. Augmented Matrices from Systems of Equations. Row Operations. Solving Equations by Row Reduction.
3.3 Systems of Linear Equations and the Gauss–Jordan Method.
Names for Many Variables. Row-Reduced Form.
3.4 Matrix Arithmetic.
Equality of Matrices. Transpose of a Matrix. Identity Matrix. Scalar Multiplication. Matrix Addition and Subtraction. Matrix Multiplication as Evaluation. Identity Matrices. Matrix Multiplication with Systems of Equations. Matrix Multiplication and Row Operations.
3.5 Inverse Matrices and Systems of Linear Equations.
Inverse Matrices. How to Find Inverse Matrices. Solving AX = B Using A-1.
3.6 Introduction to Modeling: Leontief Models.
4. LINEAR PROGRAMMING.
4.1 Linear Inequalities.
Inequalities in Two Variables. Vertices of Feasible Regions. Bounded and Unbounded Regions. Applications.
4.2 Two-Variable Linear Programming Problems.
Linear Programming Problems. Fundamental Theorem of Linear Programming. Extensions to Larger Problems.
4.3 The Simplex Method for Standard Maximum Problems.
Standard Maximum Problems. Matrix Form of a Standard Maximum Problem. The Initial Simplex Tableau. Basic and Nonbasic Variables. The Pivot Element. The Pivot Operation. The Simplex Method.
4.4 Standard Minimum Problems and Duality.
Standard Minimum Problems. The Dual of a Standard Minimum Problem. Matrix Form. Mixed Constraints: A Transportation Problem.
5. PROBABILITY.
5.1 Sets, Counting, and Venn Diagrams.
Sets and Set Operations. Addition Principle for Counting. The Multiplication Principle for Counting. The Number of Subsets of a Set.
5.2 Permutations and Combinations.
Factorials. Permutations. Combinations.
5.3 Probability Spaces.
Random Experiments and Sample Spaces. Events. Probabilities of Possible Outcomes. Probabilities of Events. Probability That an Event Does Not Occur. Probability Space. Addition Rule for Probability.
5.4 Conditional Probability and Independence.
Conditional Probability. The Product Rule for Probability. Independent Events.
5.5 Bayes'' Formula.
Bayes'' Formula. 5.6 Random Variables and Distributions. Random Variables. Expected Value. Binomial Distribution.
6. STATISTICS.
6.1 Random Samples and Data Organization.
Random Samples. Bar Chart. Histogram.
6.2 Measures of Central Tendency.
Mode. Median. Mean. Mean, Median, and Mode.
6.3 Measures of Variation.
Range. Box-and-Whisker Plot. Interpreting Box-and-Whisker Plots. Sample Standard Deviation.
6.4 Normal Distributions and Binomial Approximation.
Discrete and Continuous Random Variables. Normal Distribution. z-Scores.The Normal and Binomial Distributions.
7. MARKOV CHAINS.
7.1 States and Transitions.
States and Transitions. Markov Chains. Types of Transition Matrices. State Distribution Vectors. The kth State Distribution Vector. Duration in a Given State.
7.2 Regular Markov Chains.
Regular Markov Chains. The Fundamental Theorem of Regular Markov Chains. How to Solve D • T = D.
7.3 Absorbing Markov Chains.
Absorbing Markov Chains. Standard Form. Transition Times and Absorption Probabilities.
8. GAME THEORY.
8.1 Two-Person Games and Saddle Points.
Payoff Matrix. Optimal Strategy. Finding Saddle Points.
8.2 Mixed Strategies.
Mixed Strategies and Expected Values. Optimal Mixed Strategies for 2  2 Games. Other Interpretations of Mixed Strategies.
8.3 Games and Linear Programming.
Games as Linear Programming Problems. Every Game Has a Solution.
Index.
WebAssign
Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

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  • ISBN-10: 1337764671
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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Solutions Builder

ISBN: 9780840035240
This online instructor database offers complete worked solutions to all exercises in the text, allowing you to create customized, secure solutions printouts (in PDF format) matched exactly to the problems you assign in class. www.cengage.com/solutionbuilder

FiNiTE: PowerLecture CD-ROM with ExamView Test Generator

ISBN: 9780840069412
This CD-ROM provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® slides with art, including numbered tables and figures from the book, are also included on this CD-ROM.

CourseMate, 1 term (6 months) Instant Access

ISBN: 9780840065605
Interested in a simple way to complement your text and course content with study and practice materials? Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. CourseMate goes beyond the book to deliver what you need!

FOR STUDENTS

Online Student Solutions Manual

ISBN: 9780840069405

CourseMate, 1 term (6 months) Instant Access

ISBN: 9780840065605