The fifth edition of Functions Modeling Change: A Preparation for Calculus, 5th Edition helps instructors motivate concepts, and students develop critical thinking skills. Functions Modeling Change, 5th edition, is designed to accomplish the main goals of the Precalculus course: to build a solid mathematical foundation and prepare students for Calculus. The authors achieve this by focusing on a small number of key topics, thereby emphasizing depth of understanding rather than breadth of coverage. Functions Modeling Change, 5th edition, presents each function symbolically, numerically, graphically and verbally (the Rule of Four). Additionally, a large number of real-world applications, examples, and problems enable students to create mathematical models that relate to the world around them.
1 Linear Functions and Change
3 Quadratic Functions
4 Exponential Functions
5 Logarithmic Functions
6 Transformations of Functions and Their Graphs
7 Trigonometry and Periodic Functions
8 Triangle Trigonometry and Polar Coordinates
9 Trigonometric Identities, Models, and Complex Numbers
10 Compositions, Inverses, and Combinations of Functions
11 Polynomial and Rational Functions
12 Vectors and Matrices
13 Sequences and Series
14 Parametric Equations and Conic Sections
Answers to Odd Problems
- The trigonometry chapters, 7, 8, and 9 have been revised to introduce radians and the trigonometry functions early to increase student familiarity with this way of looking at trigonometric functions, essential to calculus, and to make it easy for instructors to skip right triangle trig in cases where students have already covered it in prior courses
- The authors rewrote chapter 8.1 and 8.2 entirely in degrees so instructors who wish to start with right triangle trigonometry can now start with those chapters, before moving onto essential material in chapter 7.
“Additionally, a large number of real-world applications, examples, and problems enable students to create mathematical models that relate to the world around them.” (Zentralblatt MATH, 1 March 2015)
- Exceptional Problems: Examples and problems based on real data help students create mathematical models to help them understand their world. Drill problems assist students in learning algebra techniques. There are a variety of problems at different complexity levels, giving students the foundation they need to move from simpler to more complex problems. The text also allows for a broad range of teaching styles andis flexible enough for use in large lecture halls, small classes, or in group or lab settings.
- Focuses on fewer topics than is customary, but each topic is treated in greater depth. Only those topics essential to the study of calculus are included.
- Reflects the spirit of the standards established by the Mathematical Association of America (MAA) and the American Mathematical Association of Two-Year Colleges (AMATYC), and meets the recommendations of the National Council of Teachers of Mathematics (NCTM).
- Assumes technology has a place in modern mathematics. This text takes full advantage of technology when appropriate, although no specific technology is emphasized. It is important for students to learn how and when to use technology as a tool, as well as its limitations. However the focus of the text is on conceptual understanding not technology.
- The Rule of Four: Each function is represented symbolically, numerically, graphically, and verbally.