This innovative and highly unique approach responds to the current reform movement in mathematics and the need for effective solutions in the workplace. The many practical applications of math concepts are illustrated throughout each chapter. Through active participation in chapter projects, activities, labs and the use of the graphing calculator, the student learns how to intuitively and methodically develop an effective solution. Graphing calculators are introduced as tools to solve problems, explore quantitative relationships, and extend the students' understanding of math concepts. the classroom presentation of this material features a CD-ROM that provides simulations, data analysis techniques, graphical solutions and videos to further enhance delivery of this new and exciting approach to college mathematics. Other ancillaries include a computer test bank, instructor resource guide, diagnostic software & student solutions manual. This book is intended for precalculus & technical mathematics courses found in mathematics departments at four-year colleges and universities, community, technical, and junior colleges, as well as some career and proprietary schools.
1. LINEAR EQUATIONS: Chapter Project - The Mathematical Crystal Ball. 1.1 Take a Walk with the CBL. 1.2 Distance, Time and Two Kinds of Rate. 1.3 Equation of a Line: Slope and y-Intercept. 1.4 Three More Forms of the Linear Equations. 1.5A Linear Model That Uses All the Points. Summary and Review; Chapter Test. 2.QUADRATIC FUNCTIONS: Chapter Project - The Bouncing Ball. 2.1 Velocity That Varies. 2.2 Follow the Bouncing Ball. 2.3 Introduction to Functions. 2.4 Working with Parabolas. 2.5 Projectile Motion. 2.6 Velocity at an Instant. Summary and Review; Chapter Test. 3. MODELS OF PERIODIC DATA: Introducing Trigonometry. Chapter Project - Analyzing the Touchtone Phone. 3.1 Introduction to the Trigonometric Functions. 3.2 Graphs and Roots of Trigonometric Functions. 3.3 Period, Amplitude, Frequency, and Roots. 3.4 Vertical and Horizontal Translations. 3.5 Modeling Sound Waves. 3.6 Modeling Wave Combinations. Summary and Review; Chapter Test. 4. MATHEMATICAL MODELS IN GEOMETRY: IMAGES IN TWO AND THREE DIMENSIONS: Chapter Project - What's the Best Shape? 4.1 Volume and Surface Area. 4.2 Triangles Are Everywhere. 4.3 Pythagorean Theorem and Circles. 4.4 Definition and Use of Radians. 4.5 Prisms, Pyramids, and Other 3-D Figures. Summary and Review; Chapter Test. 5. MODELING MOTION IN TWO DIMENSIONS: Chapter Project - What's the Best Angle? 5.1 Flight Trajectories. 5.2 Parametric Equations. 5.3 Vectors. 5.4 Vectors and Complex Numbers. 5.5 Solving the Best-Angle Problem. Summary and Review; Chapter Test. 6. POLAR GRAPHING AND ELEMENTARY PROGRAMMING. Chapter Project - Programming a Robot Arm. 6.1 Review of Two-Dimensional Graphing. 6.2 Polar Coordinates. 6.3Applications of Polar Graphing: Ellipses. 6.4 Understanding TI-83 Programs. 6.5 Writing TI-83 Programs. 6.6 Solving the Chapter Project. Summary and Review; Chapter Test. 7. MODELING WITH SEQUENCES AND SERIES. Chapter Project - Estimating Cross Sectional Areas. 7.1 Sequences. 7.2 Limits of Sequences. 7.3 Looking More Closely at Limits. 7.4 Applications of Geometric Sequences. 7.5 Arithmetic and Geometric Series. 7.6 Estimating Areas under Curves. Summary and Review; Chapter Test. 8. MODELING WITH ALGEBRAIC FUNCTIONS: Chapter Project - Seismographs and Pendulums. 8.1 Power Functions: ((x) - kxn. 8.2 Variation and Power Functions. 8.3 Polynomial Functions. 8.4 Application of Polynomials. 8.5 Patterns in Slopes of Power Functions. 8.6 Analyzing Rational Functions. 8.7 Solving the Chapter Problem. Summary and Review; Chapter Test. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS: Chapter Project - Modeling Temperature Changes. 9.1 Exponential Functions. 9.2 Logarithms and Inverse Functions. 9.3 Natural Logarithms and the Number e. 9.4 Using Logarithmic Scales. 9.5 Analysis of the Cooling Data. Summary and Review; Chapter Test. 10. MAXIMIZING THE PROFIT: Chapter Project.10.1 Review: Equations in One Variable. 10.2 Solving Two Equations in Two Variables. 10.3 Inequalities in One Variable. 10.4 Inequalities in Two Variables. 10.5 Linear Programming. Summary and Review; Chapter Test. 11. MATRICES AND 3-D GRAPHING: Chapter Project - Scaling and Rotating Points. 11.1 Introduction to the Transformation of Points. 11.2 Introduction to Matrix Algebra. 11.3 Matrices and Equation Solving. 11.4 Graphing in 3 Dimensions. 11.5 Plotting Equations in 3-D. 11.6 Curves and Surfaces in 3-D. 11.7 Rotations and Translations in 3 Dimensions. Summary and Review; Chapter Test. 12. MODELING WITH PROBABILITY AND STATISTICS: .Chapter Project - Assessing Quality Control on the Manufacturing Line. 12.1 Looking at Data. 12.2 Modeling Uncertainty with Probability. 12.3 Probability of Binary Events. 12.4 Modeling Games of Chance. 12.5 Solving the Chapter Problems. Summary and Review; Chapter Test