Schaum's outline of college algebra / Murrary R. Spiegel, Robert E. Moyer.

Format:

Book

Author/Creator:

Spiegel, Murray R., author.

Moyer, Robert E., author.

Series:

Schaum's outlines series.

Schaum's outlines series

Language:

English

Subjects (All):

Algebra.

Algebra--Problems, exercises, etc.

Physical Description:

1 online resource (xii, 388 pages) : illustrations, figs., tables.

Edition:

4th ed.

Other Title:

College algebra

Place of Publication:

New York, N.Y. : McGraw-Hill Education LLC., c2014, 2006, 1998, 1956.

Summary:

Includes more than 1,900 solved problems, examples, and practice exercises to sharpen your problem-solving skills of algebra.

Contents:

A. Preface

1. Fundamental operations with numbers

Four operations

System of real numbers

Graphical representation of real numbers

Properties of addition and multiplication of real numbers

Rules of signs

Exponents and powers

Operations with fractions

Solved problems

Supplementary problems

Answers to supplementary problems

2. Fundamental operations with algebraic expressions

Algebraic expressions

Terms

Degree

Grouping

Computation with algebraic expressions

3. Properties of numbers

Sets of numbers

Properties

Additional properties

4. Special products

Special products

Products yielding answers of the form a^n ? b^n

5. Factoring

Factoring

Factorization procedures

Greatest common factor

Least common multiple

6. Fractions

Rational algebraic fractions

Operations with algebraic fractions

Complex fractions

7. Exponents

Positive integral exponent

Negative integral exponent

Roots

Rational exponents

General laws of exponents

Scientific notation

8. Radicals

Radical expressions

Laws for radicals

Simplifying radicals

Operations with radicals

Rationalizing binomial denominators

9. Simple operations with complex numbers

Complex numbers

Graphical representation of complex numbers

Algebraic operations with complex numbers

10. Equations in general

Equations

Operations used in transforming equations

Equivalent equations

Formulas

Polynomial equations

11. Ratio, proportion, and variation

Ratio

Proportion

Variation

Unit price

Best buy

12. Functions and graphs

Variables

Relations

Functions

Function notation

Rectangular coordinate system

Function of two variables

Symmetry

Shifts

Scaling

Using a graphing calculator

13. Linear equations in one variable

Linear equations

Literal equations

Word problems

14. Equations of lines

Slope of a line

Parallel and perpendicular lines

Slope?intercept form of equation of a line

Slope?point form of equation of a line

Two-point form of equation of a line

Intercept form of equation of a line

15. Simultaneous linear equations

Systems of two linear equations

Systems of three linear equations

16. Quadratic equations in one variable

Quadratic equations

Methods of solving quadratic equations

Sum and product of the roots

Nature of the roots

Radical equations

Quadratic-type equations

17. Conic sections

General quadratic equations

Conic sections

Circles

Parabolas

Ellipses

Hyperbolas

Graphing conic sections with a calculator

18. Systems of equations involving quadratics

Graphical solution

Algebraic solution

19. Inequalities

Definitions

Principles of inequalities

Absolute value inequalities

Higher degree inequalities

Linear inequalities in two variables

Systems of linear inequalities

Linear programming

20. Polynomial functions

Zeros of polynomial equations

Solving polynomial equations

Approximating real zeros

21. Rational functions

Rational functions

Vertical asymptotes

Horizontal asymptotes

Graphing rational functions

Graphing rational functions using a graphing calculator

22. Sequences and series

Sequences

Arithmetic sequences

Geometric sequences

Infinite geometric series

Harmonic sequences

Means

23. Logarithms

Definition of a logarithm

Laws of logarithms

Common logarithms

Using a common logarithm table

Natural logarithms

Using a natural logarithm table

Finding logarithms using a calculator

24. Applications of logarithms and exponents

Introduction

Simple interest

Compound interest

Applications of logarithms

Applications of exponents

25. Permutations and combinations

Fundamental counting principle

Permutations

Combinations

Using a calculator

26. The binomial theorem

Combinatorial notation

Expansion of (a + x)^n

27. Probability

Simple probability

Compound probability

Mathematical expectation

Binomial probability

Conditional probability

28. Determinants

Determinants of second order

Cramer's rule

Determinants of third order

Determinants of order n

Properties of determinants

Minors

Value of a determinant of order n

Cramer's rule for determinants of order n

Homogeneous linear equations

29. Matrices

Definition of a matrix

Operations with matrices

Elementary row operations

Inverse of a matrix

Matrix equations

Matrix solution of a system of equations

30. Mathematical induction

Principle of mathematical induction

Proof by mathematical induction

31. Partial fractions

Rational fractions

Proper fractions

Partial fractions

Identically equal polynomials

Fundamental theorem

Finding the partial fraction decomposition

A. Table of common logarithms

B. Table of natural logarithms.

Notes:

"1,940 fully solved problems; 30 problem-solving videos online"-- Cover

"Use with these courses."-- Cover

"College Algebra - Precalculus Algebra I - Algebra II - Linear Algebra - Arithmetic and Topics in Algebra - Intermediate Algebra - Functions and Graphs."-- Cover

Includes bibliographical references and indexes.

Description based on cover image and table of contents, viewed on Aug. 21, 2014.

ISBN:

9780071821810

0071821813

9780071825856

0071825851

9780071824262

007182426X

Access Restriction:

Restricted for use by site license.