An edition of College algebra
(2011)
College algebra
concepts & contexts
by James Stewart
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This textbook presents graphic, numeric and analytic approaches to the study of precalculus concepts from college algebra. It includes application of appropriate technology including graphing calculators to model, analyze and interpret a collection of data or to solve real-world application problems from a variety of disciplines. Topics include: the real number system; algebraic, exponential and logarithmic functions and their inverses; graphing techniques for polynomial and rational functions; complex numbers; theory of equations; partial fractions; mathematical induction; sequences and series; matrices; and the binomial theorem.
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Previews available in: English
| Edition | Availability |
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1
College algebra: concepts & contexts
2011, Brooks/Cole Cengage Learning
in English
0495387894 9780495387893
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Book Details
Table of Contents
1. Data, functions, and models. Making sense of data
Visualizing relationships in data
Equations : describing relationships in data
Functions : describing change
Function notation : the concept of function as a rule
Working with functions : graphs and graphing calculators
Working with functions : getting information from the graph
Working with functions : modeling real-world relationships
Making and using formulas
Explorations: bias in presenting data; collecting and analyzing data; every graph tells a story
2. Linear functions and models. Working with functions : average rate of change
Linear functions : constant rate of change
Equations of lines : making linear models
Varying the coefficients : direct proportionality
Linear regression : fitting lines to data
Linear equations : getting information from a model
Explorations: when rates of change change; linear patterns; bridge science; correlation and causation; fair division of assets
3. Exponential functions and models. Exponential growth and decay
Exponential models : comparing rates
Comparing linear and exponential growth
Graphs of exponential functions
Fitting exponential curves to data
Explorations: extreme numbers-scientific notation; so you want to be a millionaire?; exponential patterns; modeling radioactivity with coins and dice
4. Logarithmic functions and exponential models. Logarithmic functions
Laws of logarithms
Logarithmic scales
The natural exponential and logarithmic functions
Exponential equations : getting information from a model
Working with functions : composition and inverse
Explorations: super origami; orders of magnitude; semi-log graphs; the even-tempered clavier
5. Quadratic functions and models. Working with functions : shifting and stretching
Quadratic functions and their graphs
Maxima and minima : getting information from a model
Quadratic equations : getting information from a model
Fitting quadratic curves to data
Explorations: transformation stories; Toricelli's law; quadratic patterns
6. Power, polynomial, and rational functions. Working with functions : algebraic operations
Power functions : positive powers
Polynomial functions : combining power functions
Fitting power and polynomial curves to data
Power functions : negative powers
Rational functions
Explorations: only in the movies?; proportionality-shape and size; managing traffic; alcohol and the surge function
7. Systems of equations and data in categories. Systems of linear equations in two variables
Systems of linear equations in several variables
Using matrices to solve systems of linear equations
Matrices and data in categories
Matrix operations : getting information from data
Matrix equations : solving a linear system
Explorations: collecting categorical data; will the species survive?
Algebra toolkit A : working with numbers: numbers and their properties; the number line and intervals; integer exponents; radicals and rational exponents
Algebra toolkit B : working with expressions: combining algebraic expressions; factoring algebraic expressions; rational expressions
Algebra toolkit C : working with equations: solving basic equations; solving quadratic equations; solving inequalities
Algebra toolkit D : working with graphs: the coordinate plane; graphs of two-variable equations; using a graphing calculator; solving equations and inequalities graphically.
Edition Notes
Includes index.
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| August 26, 2024 | Edited by Drini | merge authors |
| August 7, 2023 | Edited by bitnapper | merge authors |
| June 29, 2019 | Edited by MARC Bot | import existing book |
| February 14, 2012 | Edited by Dylan Cuffy | merge authors |
| July 29, 2011 | Created by LC Bot | import new book |