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Beginning and Intermediate Algebra : THE LANGUAGE AND SYMBOLISM OF MATHEMATICS / James W. Hall, Brian A. Mercer.

Contributor(s): Material type: TextTextPublisher: Boston : McGraw-Hill, 2003Copyright date: ©2003Description: xxix, 877 pages : illustrations (some color) ; 27 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0072822015
Other title:
  • Algebra
Subject(s): DDC classification:
  • 22 512
Online resources:
Contents:
Preface -- Walk-through -- Index of features -- 1. Operations with real numbers -- 1.1. The real number line -- 1.2. Addition of real numbers -- 1.3. Subtraction of real numbers -- 1.4. Multiplication of real numbers -- 1.5. Division of real numbers -- 1.6. Exponents and order of operations -- Group project : risks and choices : shopping for interest rates on car and house loans -- 2. Linear equations and patterns -- 2.1. The rectangular coordinate system and arithmetic sequences -- 2.2. Function notation and linear functions -- 2.3. Graphs of linear equations in two variables -- 2.4. Solving linear equations in one variable using the addition-subtraction principle -- 2.5. Solving linear equations in one variable using the multiplication-division principle -- 2.6. Ratios, proportions, and direct variation -- 2.7. Solving for a specified variable -- Group project : risks and choices : comparing the cost of leasing versus purchasing an automobile -- 3. Lines and systems of linear equations in two variables -- 3.1. Slope of a line and applications of slope -- 3.2. Special forms of linear equations in two variables -- 3.3. Solving systems of linear equations in two variables graphically and numerically -- 3.4. Solving systems of linear equations in two variables by the substitution method -- 3.5. Solving systems of linear equations in two variables by the addition method -- 3.6. More applications of linear systems -- Group project : OSHA standards for stair-step rise and run. 4. Linear inequalities and systems of linear inequalities -- 4.1. Solving linear inequalities using the addition-subtraction principle -- 4.2. Solving linear inequalities using the multiplication-division principle -- 4.3. Solving compound inequalities -- 4.4. Solving absolute value equations and inequalities -- 4.5. Graphing systems of linear inequalities in two variables -- Group project : risks and choices : comparing the costs for two checking accounts -- 5. Exponents and operations with polynomials -- 5.1. Product and power rules for exponents -- 5.2. Quotient rule and zero exponents -- 5.3. Negative exponents and scientific notation -- 5.4. Adding and subtracting polynomials -- 5.5. Multiplying polynomials -- 5.6. Using division to factor polynomials -- 5.7. Special product sand factors -- Group project : a polynomial model for the construction of a box -- Diagnostic review of beginning algebra -- 6. Using common algebraic functions -- 6.1. Functions and representations of functions -- 6.2. Linear and absolute value functions -- 6.3. Quadratic, square root, cubic, and cube root functions -- 6.4. Horizontal and vertical translations of functions (optional) -- 6.5. Stretching, shrinking, and reflecting graphs of functions (optional) -- 6.6. Curve fitting--selecting a formula that best fits a set of data (optional) -- 6.7. Linear factors of a polynomial, zeros of a polynomial function, and x-intercepts of a graph -- Group project : an algebraic model for real data : recording the time to drain a cylindrical container -- 7. Another look at factoring polynomials -- 7.1. Factoring trinomials of the form x² + bxy + cy² -- 7.2. Factoring trinomials of the form ax² + bxy + cy² -- 7.3. Factoring special forms -- 7.4. Factoring by grouping and a general strategy for factoring polynomials -- 7.5. Solving equations by factoring -- Group project : risks and choices : creating a mathematical model and using this model to find an optimal solution. 8. Radical expressions, complex numbers, and quadratic equations -- 8.1. Rational exponents and radicals -- 8.2. Addition and simplification of radical expressions -- 8.3. Multiplication and division of radical expressions -- 8.4. Complex numbers -- 8.5. Quadratic equations and inequalities -- 8.6. Equations with radicals -- 8.7. More applications of quadratic equations -- Group project : an algebraic model for real data : recording the time for the period of a pendulum -- 9. Rational expressions -- 9.1. Rational functions and reducing rational expressions -- 9.2. Multiplication and division of rational expressions -- 9.3. Addition and subtraction of rational expressions -- 9.4. Combining operations and simplifying complex rational expressions -- 9.5. Solving equations containing rational expressions -- 9.6. Applications yielding equations with fractions -- Group project : exploring the asymptotic behavior of a rational function -- 10. Exponential and logarithmic functions -- 10.1. Geometric sequences and exponential functions -- 10.2. Inverse functions -- 10.3. Logarithmic functions -- 10.4. Evaluating logarithms -- 10.5. Properties of logarithms -- 10.6. Exponential and logarithmic equations -- 10.7. Applications of exponential and logarithmic equations -- Group project : an algebraic model for real data : recording the height of a bouncing golf ball -- 11. A preview of college algebra -- 11.1. Algebra of functions -- 11.2. Sequences, series, and summation notation -- 11.3. Solving systems of linear equations using augmented matrices -- 11.4. Systems of linear equations in three variables -- 11.5. Conic sections -- Appendix A. Answers to selected exercises -- Credits -- Index -- Appendix B. Instructor's edition only.
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Item type Current library Collection Call number Status Date due Barcode
Koleksi Umum (Rak Terbuka) Koleksi Umum (Rak Terbuka) PERPUSTAKAAN POLITEKNIK TUANKU SYED SIRAJUDDIN RAK 9 Koleksi Umum (Rak Terbuka) OS 512 HAL (Browse shelf(Opens below)) Available 0000001207
Koleksi Pinjaman Terhad (Buku bertanda Merah) Koleksi Pinjaman Terhad (Buku bertanda Merah) PERPUSTAKAAN POLITEKNIK TUANKU SYED SIRAJUDDIN RAK 21 Koleksi Pinjaman Terhad (Buku bertanda Merah) RED 512 HAL (Browse shelf(Opens below)) Available 0000001208

Includes index.

Preface -- Walk-through -- Index of features -- 1. Operations with real numbers -- 1.1. The real number line -- 1.2. Addition of real numbers -- 1.3. Subtraction of real numbers -- 1.4. Multiplication of real numbers -- 1.5. Division of real numbers -- 1.6. Exponents and order of operations -- Group project : risks and choices : shopping for interest rates on car and house loans -- 2. Linear equations and patterns -- 2.1. The rectangular coordinate system and arithmetic sequences -- 2.2. Function notation and linear functions -- 2.3. Graphs of linear equations in two variables -- 2.4. Solving linear equations in one variable using the addition-subtraction principle -- 2.5. Solving linear equations in one variable using the multiplication-division principle -- 2.6. Ratios, proportions, and direct variation -- 2.7. Solving for a specified variable -- Group project : risks and choices : comparing the cost of leasing versus purchasing an automobile -- 3. Lines and systems of linear equations in two variables -- 3.1. Slope of a line and applications of slope -- 3.2. Special forms of linear equations in two variables -- 3.3. Solving systems of linear equations in two variables graphically and numerically -- 3.4. Solving systems of linear equations in two variables by the substitution method -- 3.5. Solving systems of linear equations in two variables by the addition method -- 3.6. More applications of linear systems -- Group project : OSHA standards for stair-step rise and run.

4. Linear inequalities and systems of linear inequalities -- 4.1. Solving linear inequalities using the addition-subtraction principle -- 4.2. Solving linear inequalities using the multiplication-division principle -- 4.3. Solving compound inequalities -- 4.4. Solving absolute value equations and inequalities -- 4.5. Graphing systems of linear inequalities in two variables -- Group project : risks and choices : comparing the costs for two checking accounts -- 5. Exponents and operations with polynomials -- 5.1. Product and power rules for exponents -- 5.2. Quotient rule and zero exponents -- 5.3. Negative exponents and scientific notation -- 5.4. Adding and subtracting polynomials -- 5.5. Multiplying polynomials -- 5.6. Using division to factor polynomials -- 5.7. Special product sand factors -- Group project : a polynomial model for the construction of a box -- Diagnostic review of beginning algebra -- 6. Using common algebraic functions -- 6.1. Functions and representations of functions -- 6.2. Linear and absolute value functions -- 6.3. Quadratic, square root, cubic, and cube root functions -- 6.4. Horizontal and vertical translations of functions (optional) -- 6.5. Stretching, shrinking, and reflecting graphs of functions (optional) -- 6.6. Curve fitting--selecting a formula that best fits a set of data (optional) -- 6.7. Linear factors of a polynomial, zeros of a polynomial function, and x-intercepts of a graph -- Group project : an algebraic model for real data : recording the time to drain a cylindrical container -- 7. Another look at factoring polynomials -- 7.1. Factoring trinomials of the form x² + bxy + cy² -- 7.2. Factoring trinomials of the form ax² + bxy + cy² -- 7.3. Factoring special forms -- 7.4. Factoring by grouping and a general strategy for factoring polynomials -- 7.5. Solving equations by factoring -- Group project : risks and choices : creating a mathematical model and using this model to find an optimal solution.

8. Radical expressions, complex numbers, and quadratic equations -- 8.1. Rational exponents and radicals -- 8.2. Addition and simplification of radical expressions -- 8.3. Multiplication and division of radical expressions -- 8.4. Complex numbers -- 8.5. Quadratic equations and inequalities -- 8.6. Equations with radicals -- 8.7. More applications of quadratic equations -- Group project : an algebraic model for real data : recording the time for the period of a pendulum -- 9. Rational expressions -- 9.1. Rational functions and reducing rational expressions -- 9.2. Multiplication and division of rational expressions -- 9.3. Addition and subtraction of rational expressions -- 9.4. Combining operations and simplifying complex rational expressions -- 9.5. Solving equations containing rational expressions -- 9.6. Applications yielding equations with fractions -- Group project : exploring the asymptotic behavior of a rational function -- 10. Exponential and logarithmic functions -- 10.1. Geometric sequences and exponential functions -- 10.2. Inverse functions -- 10.3. Logarithmic functions -- 10.4. Evaluating logarithms -- 10.5. Properties of logarithms -- 10.6. Exponential and logarithmic equations -- 10.7. Applications of exponential and logarithmic equations -- Group project : an algebraic model for real data : recording the height of a bouncing golf ball -- 11. A preview of college algebra -- 11.1. Algebra of functions -- 11.2. Sequences, series, and summation notation -- 11.3. Solving systems of linear equations using augmented matrices -- 11.4. Systems of linear equations in three variables -- 11.5. Conic sections -- Appendix A. Answers to selected exercises -- Credits -- Index -- Appendix B. Instructor's edition only.

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