Beginning Algebra

Beginning Algebra

          
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About the Book

NOT SOLD SEPARATELY. This text presents a mid-level of mathematical rigor while supporting the student with careful pedagogy. The book effectively prepares students for their next mathematics course as it presents all the topics associated with a first course in algebra. Mathematical concepts are motivated by need and illustrated through discussion, examples, and real-world applications.

Table of Contents:
1. BASIC CONCEPTS. The real number system. Arithmetic and properties of real numbers. Exponents. Scientific notation. Solving equations. Using equations to solve problems. More applications of equations. Problems and projects. Chapter summary. Chapter 1 test. 2. GRAPHS, EQUATIONS OF LINES AND FUNCTIONS. The rectangular coordinate system. Graphing linear equations. Slope of a nonvertical line. Writing equations of lines. Introduction to functions. Graphs of other functions. Problems and projects. Chapter summary. Chapter 2 test. Cumulative review exercises. 3. SYSTEMS OF EQUATIONS. Solution by graphing. Solution by elimination. Solutions of three equations in three variables. Solution by matrices. Solution by determinants. Problems and projects. Chapter summary. Chapter 3 test. 4. INEQUALITIES. Linear inequalities. Equations and Inequalities with absolute values. Linear inequalities in two variables. Systems of inequalities. Linear programming. Problems and projects. Chapter summary. Chapter 4 test. Cumulative review exercises. 5. POLYNOMIALS AND POLYNOMIAL FUNCTIONS. Polynomials and polynomial functions. Adding and subtracting polynomials. Multiplying polynomials.. The greatest common factor and factoring by grouping. The difference of two squares; the sum and difference of two cubes. Factoring trinomials. Summary of factoring techniques. Solving equations by factoring. Problems and projects. Chapter summary. Chapter 5 test. 6. RATIONAL EXPRESSIONS. Rational functions and simplifying rational expressions. Proportions and variation. Multiplying and dividing rational expressions. Adding and subtracting rational expressions. Complex fractions. Equations containing rational expressions. Dividing polynomials. Synthetic division. Problems and projects . Chapter summary. Chapter 6 test. Cumulative review exercises. 7.RATIONAL EXPONENTS AND RADICALS. Radical expressions. Applications of radicals. Radical equations. Rational exponents. Simplifying and combining radical expressions. Multiplying and dividing radical expressions. Problems and projects. Chapter summary. Chapter 7 test. 8. QUADRATIC FUNCTIONS, INEQUALITIES AND ALGEBRA FUNCTIONS. Completing the square and the quadratic formula. Graphs of quadratic functions. Complex numbers. The discriminant and equations that can be written in quadratic form. Quadratic and other nonlinear inequalities. Algebra and composition of functions. Inverses of functions. Problems and projects. Chapter summary. Chapter 8 test. Cummulative review exercises. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential functions. Base-e exponential functions. Logarithmic functions. Base-e logarithms. Properties of logarithms. Exponential and logarithmic equations. Problems and projects. Chapter summary. Chapter 9 test. 10. MORE GRAPHING AND CONIC SECTIONS. The circle and the parabola. The ellipse. The hyperbola. Solving simultaneous second-degree equations.


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Product Details
  • ISBN-13: 9780534358327
  • Publisher: Cengage Learning, Inc
  • Publisher Imprint: Brooks/Cole
  • Edition: Revised edition
  • Language: English
  • Series Title: English
  • Weight: 1249 gr
  • ISBN-10: 0534358322
  • Publisher Date: 01 Aug 1998
  • Binding: Hardback
  • Height: 236 mm
  • Returnable: N
  • Spine Width: 30 mm
  • Width: 206 mm


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