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Precalculus : functions and graphs.

By: Contributor(s): Material type: TextPublication details: Boston : McGraw Hill, 2001.Edition: 5th edDescription: xxiv, 837 p. : ill. ; 27 cm + 1 CD-ROM (4 3/4 in.)ISBN:
  • 0072368713 (acidfree paper)
Subject(s): LOC classification:
  • QA331.3 .B38 2001
Contents:
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.
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Books Methodist University Library Main General Stacks Reference QA331.3 .B38 2001 (Browse shelf(Opens below)) Available 14517
Books Methodist University Library Main General Stacks Reference QA331.3 .B38 2001 (Browse shelf(Opens below)) Available 18242

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Includes indexes.

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.

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