College algebra /
This textbook introduces algebraic concepts such as the real-number system; arithmetic operations with polynomials, special products and factoring; linear, fractional and quadratic equations; inequalities, exponents, radicals and absolute values; functions and graphs; and complex numbers, logarithms...
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| Main Author: | |
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| Other Authors: | , , |
| Format: | Book |
| Language: | English |
| Published: |
Belmont, CA :
Brooks/Cole, Cengage Learning,
2013.
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| Edition: | 6th ed. |
| Subjects: | |
| Online Access: | Table of contents only Contributor biographical information Publisher description |
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Table of Contents:
- Prerequisites. Modeling the real world with algebra
- The real numbers
- Integer exponents and scientific notation
- Rational exponents and radicals
- Algebraic expressions
- Factoring
- Rational expressions
- Solving basic equations
- [1.] Equations and graphs. The coordinate plane
- Graphs of equations in two variables
- Lines
- Solving equations graphically
- Modeling with equations
- Solving quadratic equations
- Solving other types of equations
- Solving inequalities
- Solving absolute value equations and inequalities
- [2.] Functions. Functions
- Graphs of functions
- Getting information from the graph of a function
- Average rate of change of a function
- Transformations of functions
- Combining functions
- One-to-one functions and their inverses
- [3.] Polynomial and rational functions. Quadratic functions and models
- Polynomial functions and their graphs
- Dividing polynomials
- Real zeros of polynomials
- Complex numbers
- Complex zeros and the fundamental theorem of algebra
- Rational functions
- Modeling variation
- [4.] Exponential and logarithmic functions. Exponential functions
- The natural exponential function
- Logarithmic functions
- Laws of logarithms
- Exponential and logarithmic equations
- Modeling with exponential and logarithmic functions
- [5.] Systems of equations and inequalities. Systems of linear equations in two variables
- Systems of linear equations in several variables
- Partial fractions
- Systems of nonlinear equations
- Systems of inequalities
- [6.] Matrices and determinants. Matrices and systems of linear equations
- The algebra of matrices
- Inverses of matrices and matrix equations
- Determinants and Cramer's rule
- [7.] Conic sections. Parabolas
- Ellipses
- Hyperbolas
- Shifted conics
- [8.] Sequences and series. Sequences and summation notation
- Arithmetic sequences
- Geometric sequences
- Mathematics of finance
- Mathematical induction
- The binomial theorem
- [9.] Probability and statistics. Counting
- Probability
- Binomial probability
- Expected value
- Appendix A: Calculations and significant figures
- Appendix B: Graphing with a graphing calculator
- Appendix C: Using the TI-83/84 graphing calculator.