| 000 | 03965cam a2200205 a 4500 | ||
|---|---|---|---|
| 999 |
_c7103 _d7103 |
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| 020 | _a0072368713 (acidfree paper) | ||
| 050 | 0 | 0 |
_aQA331.3 _b.B38 2001 |
| 100 | 1 | _aBarnett, Raymond A. | |
| 245 | 1 | 0 |
_aPrecalculus : _bfunctions and graphs. |
| 250 | _a5th ed. / | ||
| 260 |
_aBoston : _bMcGraw Hill, _c2001. |
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| 300 |
_axxiv, 837 p. : _bill. ; _c27 cm + _e1 CD-ROM (4 3/4 in.) |
||
| 500 | _aIncludes indexes. | ||
| 505 | _a1. 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. | ||
| 650 | 0 | _aFunctions. | |
| 650 | 0 |
_aAlgebra _xGraphic methods. |
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| 700 | 1 | _aZiegler, Michael R. | |
| 700 | 1 | _aByleen, Karl E. | |
| 942 | _cBK | ||