Investigating college algebra with technology /
College algebra
Kathy Burgis, Jeff Morford.
- xxxi, 697 p. : ill. ; 27 cm. + 1 student CD-ROM (4 3/4 in.)
Includes bibliographical references and index.
Problem solving. Pictures, graphs, and diagrams ; Symbolic representation ; Organizing information ; Measures of central tendency and box plots ; Measures of spread -- Patterns and recursion. Recursively defined sequences ; Modeling growth and decay ; A first look at limits ; Graphing and sequences ; Loans and investments -- Linear models and systems. Linear equations ; Revisiting slope ; Fitting a line to data ; Linear systems ; Substitution and elimination -- Functions, relations, and transformations. Interpreting graphs ; Function notation ; Lines in motion ; Translations and the quadratic family ; Reflections and the square root family ; Stretches and shrinks and the absolute value family ; Transformations and the circle family ; Compositions of functions -- Exponential, power, and logarithmic functions. The exponential function ; Properties of exponents ; Fractional exponents and roots ; Applications of power equations ; Building inverses of functions ; The logarithmic function ; Properties of logarithms ; Applications of logarithms -- Quadratic and other polynomial functions. Polynomial degree and finite differences ; Equivalent quadratic forms ; Completing the square ; The quadratic formula ; Complex numbers ; Factoring polynomials ; Higher-degree polynomials ; More about finding solutions -- Matrices and linear systems. Matrix representations ; Matrix operations ; The row reduction method ; Solving systems with inverse matrices ; Systems of linear inequalities ; Linear programming -- Parametric equations and trigonometry. Graphing parametric equations ; Converting parametric to nonparametric equations ; Right triangle trigonometry ; Using trigonometry to set a course ; Projectile motion ; The law of sines ; The law of cosines -- Conic sections and rational functions. Using the distance formula ; Circles and ellipses ; Parabolas ; The hyperbola ; Nonlinear systems of equations ; Introduction to rational functions ; Graphs of rational functions ; Operations with rational expressions -- Series. Arithmetic series ; Infinite geometric series ; Partial sums of geometric series -- Probability. Randomness and probability ; Counting outcomes and tree diagrams ; Mutually exclusive events and Venn diagrams ; Random variables and expected value ; Permutations and probability ; Combinations and probability ; The binomial theorem and Pascal's triangle.
System requirements for CD-ROM: Windows and Macintosh; some files on CD-ROM can be viewed only with Microsoft Excel or Adobe Reader.