functions and graphs Barnett, Raymond A. creator Ziegler, Michael R. Byleen, Karl E. text Boston McGraw Hill 2001 5th ed. / monographic xxiv, 837 p. : ill. ; 27 cm + 1 CD-ROM (4 3/4 in.) 1. Equations and inequalities -- Linear equations and applications -- Systems of linear equations and applications -- Linear inequalities -- Absolute value in equations and inequalities -- Complex numbers -- Quadratic equations and applications -- Equations reducible to quadratic form -- Polynomial and rational inequalities -- Chapter 1 group activity : rates of change -- 2. Graphs and functions -- Basic tools : circles -- Straight lines -- Functions -- Graphing functions -- Combining functions -- Inverse functions -- Chapter 2 Group activity : mathematical modeling in business -- 3. Polynomial and rational functions -- Polynomial functions and graphs -- Finding rational zeros of polynomials -- Rational functions -- Partial fractions -- Chapter 3 group activity : interpolating polynomials -- 4. Exponential and logarithmic functions -- Exponential functions -- The Exponential function with base e -- Logarithmic functions -- Common and natural logarithms -- Exponential and logarithmic equations -- Chapter 4 group activity: growth of increasing functions -- 5. Trigonometric functions -- The Wrapping function -- Circular functions -- Angles and their measure -- Trigonometric functions -- Solving right triangles -- Graphing basic trigonometric functions -- Graphing y = k + A sin (Bx + C) and y = k + A cos (Bx + C) -- Graphing more general tangent, cotangent, secant, and cosecant functions -- Inverse trigonometric functions -- Chapter 5 group activity : a predator-prey analysis involving mountain lions and deer -- 6. Trigonometric identities and conditional equations -- Basic identities and their use -- Sum, difference, and cofunction identities -- Double-angle and half-angle identities -- Product-sum and sum-product identities -- Trigonometric equations -- Chapter 6 group activity : from M sin Bt + N cos Bt to A sin (Bt + C) -- a harmonic analysis tool. 7. Additional topics in trigonometry -- Law of sines -- Law of cosines -- Geometric vectors -- Algebraic vectors -- Polar coordinates and graphs -- Complex numbers in rectangular and polar forms -- De Moivre's theorem -- Chapter 7 group activity : conic sections and planetary orbits -- 8. Systems of equations and inequalities -- Systems of linear equations and augmented matrices -- Gauss-Jordan elimination -- Systems involving second-degree equations -- Systems of linear inequalities in two variables -- Linear programming -- Chapter 8 group activity : modeling with systems of equations -- 9. Matrices and determinants -- Matrices : basic operations -- Inverse of a square matrix -- Matrix equations and systems of linear equations -- Determinants -- Properties of determinants -- Cramer's rule -- Chapter 9 group activity: using matrices to find cost, revenue and profit -- 10. Sequences and series -- Mathematical induction -- Arithmetic and geometric sequences -- Binomial formula -- Multiplication principle, permutations, and combinations -- Chapter 10 group activity : sequences specified by recursion formulas -- 11. Additional topics in analytic geometry -- Conic sections : parabola -- Ellipse -- Hyperbola -- Translation of axes -- Parametric equations -- Chapter 11 group activity : focal chords -- Appendix A : Basic algebraic operations -- Appendix B : Significant digits -- Appendix C : Geometric formulas. Includes indexes. Functions Algebra Graphic methods QA331.3 .B38 2001 0072368713 (acidfree paper)