MP Beginning and Intermediate Algebra by Miller, Julie; O'Neill, Molly;

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A termék adatai:

Kiadó McGraw-Hill
Megjelenés dátuma 2006. november 1.

ISBN 9780073305417
Kötéstípus Keménykötés
Terjedelem oldal
Méret 254x203x44 mm
Súly 2341 g
Nyelv angol

Kategóriák

Algebra

Hosszú leírás:

Miller/O'Neill's Beginning and Intermediate Algebra is an insightful textbook written by instructors who have first-hand experience with students of developmental mathematics. Through specially designed exercise sets, student-friendly writing, carefully organized page-layout, and helpful hints and tips, Beginning and Intermediate Algebra engages students in their study of mathematics and paves the pathway for success.

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Tartalomjegyzék:

R Reference: Fractions, Geometry, and Study Skills

R.1 Fractions

R.2 Introduction to Geometry

R.3 Study Tips

1 The Set of Real Numbers

1.1 Sets of Numbers and the Real Number Line

1.2 Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

1.5 Multiplication and Division of Real Numbers

1.6 Properties of Real Numbers and Simplifying Expressions

2 Linear Equations and Inequalities

2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2 Solving Linear Equations

2.3 Linear Equations: Clearing Fractions and Decimals

2.4 Applications of Linear Equations: Introduction to Problem Solving

2.5 Solving Applications with Percent

2.6 Formulas and Applications of Geometry

2.7 More Applications of Linear Equations

2.8 Linear Inequalities

3 Graphing Linear Equations in Two Variables

3.1 Rectangular Coordinate System

3.2 Linear Equations in Two Variables

3.3 x- and y-Intercepts, Horizontal and Vertical Lines

3.4 Slope of a Line

3.5 Equations of a Line: Slope-Intercept Form

4 Polynomials and Properties of Exponents

4.1 Exponents: Multiplying and Dividing Common Bases

4.2 More Properties of Exponents

4.3 Definitions of b^0 and b^-n

4.4 Scientific Notation

4.5 Addition and Subtraction of Polynomials

4.6 Multiplication of Polynomials

4.7 Division of Polynomials

5 Factoring Polynomials

5.1 Greatest Common Factor and Factoring by Grouping

5.2 Factoring Trinomials: Grouping Method

5.3 Factoring Trinomials: Trial-and-Error Method

5.4 Factoring Perfect Square Trinomials and the Difference of Squares

5.5 Factoring the Sum and Difference of Cubes

5.6 General Factoring Summary

5.7 Solving Quadratic Equations using the Zero Product Rule

6 Rational Expressions

6.1 Introduction to Rational Expressions

6.2 Multiplication and Division of Rational Expressions

6.3 Least Common Denominator

6.4 Addition and Subtraction of Rational Expressions

6.5 Complex Fractions

6.6 Rational Equations

6.7 Applications of Rational Equations and Proportions

7 Introduction to Relations and Functions

7.1 Point-Slope Formula and Review of Graphing

7.2 Applications of Linear Equations

7.3 Introduction to Relations

7.4 Introduction to Functions

7.5 Graphs of Basic Functions

7.6 Variation

8 Systems of Linear Equations in Two Variables

8.1 Introduction to Systems of Linear Equations

8.2 Substitution Method

8.3 Addition Method

8.4 Applications of Linear Equations in Two Variables

8.5 Systems of Linear Equations in Three Variables and Applications

8.6 Solving Systems of Linear Equations Using Matrices

8.7 Determinants and Cramer's Rule

9 More Equations and Inequalities

9.1 Compound Inequalities

9.2 Polynomial and Rational Inequalities

9.3 Absolute Value Equations

9.4 Absolute Value Inequalities

9.5 Linear Inequalities in Two Variables

10 Radicals and Complex Numbers

10.1 Definition of an n-th root

10.2 Rational Exponents

10.3 Properties of Radicals

10.4 Addition and Subtraction of Radicals

10.5 Multiplication of Radicals

10.6 Rationalization

10.7 Radical Equations

10.8 Complex Numbers

11 Quadratic Functions

11.1 Square Root Property and Completing the Square

11.2 Quadratic Formula

11.3 Equations in Quadratic Form

11.4 Graphs of Quadratic Functions

11.5 Applications of Quadratic Functions

12 Exponential and Logarithmic Functions

12.1 Algebra and Composition of Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Logarithmic Functions

12.5 Properties of Logarithms

12.6 The Irrational Number e

12.7 Exponential and Logarithmic Equations

13 Conic Sections and Nonlinear Systems

13.1 Distance Formulas and Circles

13.2 More on the Parabola

13.3 Ellipse and Hyperbola

13.4 Nonlinear Systems of Equations in Two Variables

13.5 Nonlinear Inequalities and Systems of Inequalities

14 Sequences, Series, Counting, and Probability

14.1 Sequences and Series

14.2 Arithmetic and Geometric Sequences and Series

14.3 Binomial Expansions

14.4 Fundamentals of Counting

14.5 Introduction to Probability

Beginning Algebra Review

Review A Set of Real Numbers

Review B Linear Equations in One Variable

Review C Linear Equations in Two Variables

Review D Polynomials and Properties of Exponents

Review E Factoring Polynomials and Solving Quadratic Equations

Review F Rational Expressions

Appendix

A.1 Synthetic Division

A.2 Mean, Median, and Mode
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