Request for consultation
This new text provides a contemporary approach to college algebra, ideal for the many skeptical or apprehensive students who ask, "When am I ever going to use this?" The key phrase is "Make It Real" since the goal is to make the material relevant and understandable to today's college students. But many books make this claim--so how is COLLEGE ALGEBRA: MAKE IT REAL different? In other texts, which simply wrap real-world situations around problems, the context isn't needed to do the mathematics. Written by skilled and passionate teachers, this text uses real-world data sets and situations to draw out mathematical concepts. Students are immersed in familiar contexts--from golf course ratings to Egyptian pyramids--from which concepts emerge naturally, and then guided in using their understanding of those ideas to make sense of the mathematics. The real-world contexts are not only helpful for understanding procedures--they're necessary. The concept of a function, the use of modeling, and the thorough integration of real-world applications are integral to the text. If there's one new college algebra text crafted to stand up to a "reality check" comparison with your current book, this is it.
- Explanations and Examples: A conversational tone and detailed explanations make the math come alive for students. Intriguing, relevant photographs and carefully rendered graphics pique students' interest and capture their attention. Meaningful real world contexts inform students about the world and motivate them to investigate mathematical concepts. Familiarity with these contexts, from which ideas emerge intuitively, are not only helpful for comprehending procedures--they're necessary. One student commented, "It's like having the teacher standing over my shoulder explaining things to me."
- Variety of Homework Exercises: The overarching philosophy of developing students' mathematical reasoning and persistent problem solving is evident throughout the homework exercises, which are divided into four sections: Concepts and Skills (for practicing procedures and demonstrating a basic understanding of key concepts), Show You Know (requiring written explanations of big ideas), Make It Real (real world contexts that help students understand the world and make connections between mathematics and their lives), and Stretch Your Mind (requiring deep thought, creativity, and persistence).
- Study Sheets: The end-of-chapter Study Sheets present a series of questions focused on the big ideas of the chapter. As students reflect upon these questions, they solidify their understanding of the key mathematical concepts. The Study Sheets are an ideal chapter review activity to help students prepare for the end-of-chapter exam.
- Review Exercises: End-of-chapter review exercises allow students to refine their conceptual understanding and mathematical expertise. Grouped by section number, these exercises make it easy to focus on particular areas of study.
- Distinctive Treatment of Modeling and Graphs: In keeping with the book's approach, the authors promote student comprehension by presenting modeling and graphs in familiar contextual situations; that is, models and graphs describe the underlying behavior that is embedded into the context. Modeling and graphs are used extensively; for instance, Section 6.2 on Exponential Function Modeling and Graphs features nine examples, all of which include a real world context.
- Unique Make It Real Projects: These end-of-chapter projects allow students to apply the concepts learned in the chapter to data collected from an area of personal interest. By allowing students to focus on a real world context of their choosing, their motivation and interest in doing the mathematics increases. Additionally, the Make It Real Projects provide learners another avenue for developing mathematical reasoning and persistent problem solving as they make sense of the mathematical ideas.
Mathematical Modeling. Functions and Function Notation. Functions Represented by Tables and Formulas. Functions Represented by Graphs. Functions Represented by Words. Preview to Inverse Functions. Chapter 1 Review.
2. LINEAR FUNCTIONS.
Functions with Constant Rates of Change. Modeling with Linear Functions. Linear Regression. Systems of Linear Equations. Systems of Linear Inequalities. Chapter 2 Review.
3. TRANSFORMATIONS AND FUNCTIONS.
Horizontal and Vertical Shifts. Horizontal and Vertical Reflections. Vertical Stretches and Reflections. Horizontal Stretches and Compressions. Chapter 3 Review.
4. QUADRATIC FUNCTIONS.
Variable Rates of Change. Modeling with Quadratic Functions. Quadratic Functions, Graphs, and Forms. Chapter 4 Review.
5. POLYNOMIAL, POWER, AND RATIONAL FUNCTIONS.
Higher-Order Polynomial Function Modeling. Power Functions. Rational Functions. Chapter 5 Review.
6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Percentage Change. Exponential Function Modeling and Graphs. Compound Interest and Continuous Growth. Solving Logarithmic and Exponential Equations. Logarithmic Function Modeling. Chapter 6 Review.
7. MODELING WITH OTHER TYPES OF FUNCTIONS.
Combinations of Functions. Piecewise Functions. Composition of Functions. Logistic Functions. Choosing a Mathematical Model. Chapter 7 Review.
Using Matrices to Solve Linear Systems. Matrix Operations and Applications. Using Inverse Matrices to Solve Matrix Equations. Chapter 8 Review.
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.
Instructor's Resource Manual
The Instructor's Resource Manual, written by the text authors, includes valuable resources to guide both new and experienced instructors in using the authors' unique teaching methods.
PowerLecture with ExamView®
This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching, including Microsoft® PowerPoint® lecture slides and figures from the book. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. You can also easily build solution sets for homework or exams by linking to Solution Builder's online solutions manual.
Student Study Guide
Written by the text authors, this Study Guide includes review material for each section of the text. It includes section objectives, concepts, vocabulary, exercises, worked out examples, and practice chapter tests with solutions.
Student Solutions Manual
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
Student Study Guide
Student Solutions Manual