College algebra with trigonometry
Barnett, Raymond A.
College algebra with trigonometry / Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen - Seventh edition - xxiv, 1 volume (various pagings) : illustrations - Barnett, Ziegler & Byleen's precalculus series .
Basic algebraic operations Algebra and real numbers Polynomials : basic operations Polynomials : factoring Rational expressions : basic operations Integer exponents Rational exponents Radicals Rational number representations 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 Rates of change Cumulative review exercise Graphs and functions Basic tools : circles Straight lines Functions Graphing functions Combining functions Inverse functions
Mathematical modeling in business Polynomial and rational functions Polynomial functions and graphs Finding rational zeros of polynomials Approximating real zeros of polynomials Rational functions Partial fractions Interpolating polynomials Exponential and logarithmic functions Exponential functions The exponential function with base e Logarithmic functions Common and natural logarithms Exponential and logarithmic equations Growth of increasing functions Trigonometric functions Angles and their measure Acute angle domains General angle and real number domains Exact values for special angles and real numbers Circular functions 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 A predator-prey analysis involving mountain lions and deer 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 From M sin Bt + N cos Bt to A sin (Bt + C)---a harmonic analysis tool 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 Conic sections and planetary orbits 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 Modeling with systems of linear equations 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 Using matrices to find cost, revenue and profit Sequences and series Sequences and series Mathematical induction Arithmetic and geometric sequences Binomial formula Multiplication principle, permutations, and combinations Sequences specified by recursion formulas Additional topics in analytic geometry Conic sections : parabola Ellipse Hyperbola Translation of axes Parametric equations
9780071226714
Algebra
Trigonometry
512.13
College algebra with trigonometry / Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen - Seventh edition - xxiv, 1 volume (various pagings) : illustrations - Barnett, Ziegler & Byleen's precalculus series .
Basic algebraic operations Algebra and real numbers Polynomials : basic operations Polynomials : factoring Rational expressions : basic operations Integer exponents Rational exponents Radicals Rational number representations 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 Rates of change Cumulative review exercise Graphs and functions Basic tools : circles Straight lines Functions Graphing functions Combining functions Inverse functions
Mathematical modeling in business Polynomial and rational functions Polynomial functions and graphs Finding rational zeros of polynomials Approximating real zeros of polynomials Rational functions Partial fractions Interpolating polynomials Exponential and logarithmic functions Exponential functions The exponential function with base e Logarithmic functions Common and natural logarithms Exponential and logarithmic equations Growth of increasing functions Trigonometric functions Angles and their measure Acute angle domains General angle and real number domains Exact values for special angles and real numbers Circular functions 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 A predator-prey analysis involving mountain lions and deer 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 From M sin Bt + N cos Bt to A sin (Bt + C)---a harmonic analysis tool 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 Conic sections and planetary orbits 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 Modeling with systems of linear equations 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 Using matrices to find cost, revenue and profit Sequences and series Sequences and series Mathematical induction Arithmetic and geometric sequences Binomial formula Multiplication principle, permutations, and combinations Sequences specified by recursion formulas Additional topics in analytic geometry Conic sections : parabola Ellipse Hyperbola Translation of axes Parametric equations
9780071226714
Algebra
Trigonometry
512.13