Reach every student with MyLab Math with Pearson eText MyLab® empowers you to reach every student. This flexible digital platform combines unrivaled content, online assessments, and customizable features so you can personalize learning and improve results, one student at a time. Learn more about MyLab Math. Pearson eText is an easy-to-use digital textbook available within MyLab that lets you read, highlight, and take notes all in one place. If you''re not using MyLab, students can purchase Pearson eText on their own or you can assign it as a course to schedule readings, view student usage analytics, and share your own notes with students. Learn more about Pearson eText. About the book Connects the math to career and everyday life Enhanced Assignments are section-level assignments that (1) address gaps in prerequisite skills with personalized prerequisite review, (2) help keep skills fresh with spaced practice of key finite math concepts, and (3) provide opportunities to work exercises without learning aids so that students can check their understanding. They are assignable and editable.
A new Multipurpose Interactive Matrix Tool is available in the Video & Resource library for students, to help with matrix row operations in appropriate chapters: The tool can perform the row operations described in the text as well as pivot on any element. It can also assist with doing matrix operations by hand, by helping check for errors. More "help text" annotations have been added to examples. These notes, set in small blue type, appear next to the steps within worked-out examples and provide an additional aid for students with weaker algebra skills. Approximately 12 percent of the exercises are new or updated, improving data and applications. This includes nearly 300 new exercises written for the 12th Edition. New Concept Check exercises added to the beginning of the exercises in every section ensure that students understand basic concepts before proceeding. All answers in the Annotated Instructor''s Edition are now located in one place at the back, saving time and page flipping to find answers.
For instructors'' convenience, all of the answers are also available for download as PDF in MyLab Math. Content updates Chapter R. Algebra Reference Rearranged material on multiplying polynomials for greater clarity. Expanded coverage of factoring. Revised or expanded several examples. Chapter 1. Linear Functions Expanded coverage of different forms of the equations of lines. Updated three examples and the Extended Application with new data.
Chapter 2. Systems of Linear Equations and Matrices Rewrote exercises to ensure that exercises in each section are independent of those in other sections. Chapter 3. Linear Programming: The Graphical Method Added more assistance on translating sentences to inequalities. Created a new Technology Note and a Caution in Section 3.2. Added material on unbounded and empty feasible regions. Enhanced Example 1 in Section 3.
3 with more explanation. Added gridlines to graphs to make them easier to read. Chapter 4. Linear Programming: The Simplex Method Expanded Example 1 in Section 4.1 for greater clarity. Added an example with no maximum solution due to an unbounded feasible region. Added an example in which there are an infinite number of solutions. Rewrote exercises to make the format consistent.
Improved the main examples of a standard maximization problem and of a nonstandard problem to clarify the roll of the slack variable. Revised example with shadow costs in Section 4.3. Chapter 5. Mathematics of Finance Improved and updated notation. Added material on using a graphing calculator and an Excel spreadsheet for mathematics of finance. Chapter 6. Logic Enhanced the discussion of what constitutes a statement, including why an opinion is not considered a statement.
Introduced an order of operations for logical connectives to guide students in determining the truth value of compound statements. Added a discussion and examples of the expression of compound symbolic statements into words and the translation of a compound statement into a symbolic statement. Added a discussion on the difference between the meaning of the words "true" and "valid" in logic. Introduced a more concise method and solutions for determining the validity of an argument by only checking the truth value of a critical row. Added explicit steps for the proof of the validity of an argument. Include a new example and revised existing examples to illustrate the steps of this process. Chapter 7. Sets and Probability Revised examples and their solutions to include extensive explanations on set notation, subsets, complements, set operations, and the translation of set notation into words.
Added and illustrated a Venn diagram example with two circles, to demonstrate the process of determining the number of elements in various subsets. Included a discussion on the selection of a sample space with equally likely outcomes. Revised examples and solutions to give more detail on defining sample spaces and determining events. Added discussion, definition, and formula for empirical probability, followed by an example explaining the reason for using empirical probability. Added exercises illustrating Simpson''s Paradox, where a trend that appears in several different groups of data disappears, or even reverses, when these groups are combined. Revised examples on determining probability from a Venn diagram. Added detailed explanation of how to represent a probability problem with a tree diagram and how to calculate Bayes'' Theorem with probabilities given in a table. Chapter 8.
Counting Principles: Further Probability Topics Revised examples on the multiplication principle, permutations, and combinations to align with exercises, including examples with restrictions on some of the choices. Added a flow chart and a revised table to help students determine which counting method to use in applications. Added an example with a detailed discussion on selecting and implementing the correct counting method. Revised solutions to existing problems to emphasize the selection of method. Added a new example and revised existing examples to emphasize the translation from words into a probability problem. Provided detailed explanations, including key words to look for and the selection of counting methods, to assist in setting up the formulas. Added a discussion of binomial probability and how to recognize it. Revised and updated examples, including the addition of a verification that the binomial probability formula applies.
Chapter 9. Statistics Added a Note on choosing intervals for histograms. Improved labeling on histograms. Added material on weighted averages. Rewrote the section on the normal approximation to the binomial distribution to reflect how technology has changed the significance of this topic.