Precalculus :
Barnett, Raymond A.
Precalculus : functions and graphs. - 5th ed. / - Boston : McGraw Hill, 2001. - xxiv, 837 p. : ill. ; 27 cm + 1 CD-ROM (4 3/4 in.)
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.
0072368713 (acidfree paper)
Functions.
Algebra--Graphic methods.
QA331.3 / .B38 2001
Precalculus : functions and graphs. - 5th ed. / - Boston : McGraw Hill, 2001. - xxiv, 837 p. : ill. ; 27 cm + 1 CD-ROM (4 3/4 in.)
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.
0072368713 (acidfree paper)
Functions.
Algebra--Graphic methods.
QA331.3 / .B38 2001