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College algebra

Author: Murray R Spiegel; Robert E Moyer
Publisher: New York : McGraw-Hill Education, [2014] ©2014
Series: Schaum's outline series.
Edition/Format:   Print book : English : Fourth editionView all editions and formats
Database:WorldCat
Summary:
Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 1,900 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor!  Read more...
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Genre/Form: Problems and exercises
Study guides
Problems, exercises, etc
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Murray R Spiegel; Robert E Moyer
ISBN: 9780071821810 0071821813
OCLC Number: 871305347
Notes: Previous edition: 2006.
Includes index.
Description: xii, 388 pages : illustrations ; 28 cm.
Contents: 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 --
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 --
5. Factoring --
Factorization procedures --
Greatest common factor --
Least common factor --
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 --
Equations in general --
Operations used in transforming equations --
Equivalent equations --
Formulas --
Polynomial equations --
11. Ratio, proportion, and 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 --
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 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 --
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 --
Principles of inequalities --
Absolute value inequalities --
Higher degree inequalities --
Linear inequalities in two variables --
Systems of linear inequalities --
Linear programming --
20. Polynomial functions --
Polynomial equations --
Zeros of polynomial equations --
Solving polynomial equations --
Approximating real zeros --
21. Rational functions --
Vertical asymptotes --
Horizontal asymptotes --
Graphing rational functions --
Graphing rational functions using a graphing calculator --
22. Sequences and series --
Arithmetic sequences --
Geometric sequences --
Infinite geometric series --
Harmonic sequences --
Means --
23. Logarithms --
Laws of logarithms --
Common logarithms --
Using a common logarithm table --
Finding logarithms using a calculator --
24. Applications of logarithms and exponents --
Simple interest --
Compound interest --
Applications of logarithms --
Applications of exponents --
25. Permutations and combinations --
Fundamental counting principle --
Using a calculator --
26. The binomial theorem --
Combinatorial notation --
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 --
Properties of determinants --
Minors --
Homogeneous linear equations --
29. Matrices --
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 --
Appendix A. Table of common logarithms --
Appendix B. Table of natural logarithms.
Series Title: Schaum's outline series.
Other Titles: Schaum's outlines
Responsibility: Murray R. Speigel, PhD, former Professor and Chairman, Mathematics Department, Rensselaer Polytechnic Institute, Hartford Graduate Center, Robert E. Moyer, PhD, Associate Professor of Mathematics, Southwest Minnesota State University.
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Abstract:

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

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