Schaum's outline of college algebra / Robert Moyer and Murray Spiegel

By:

Moyer, Robert [author]

Contributor(s):

Spiegel, Murray [co-author]

Material type: Text

TextSeries: Schaum's outline seriesPublication details: New York : McGraw-Hill Education, c2019.Description: 451 pages ; 28 cmISBN:

9781260120769

Subject(s):

ALGEBRA

LOC classification:

QA 157 .M69 2019

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 -- Products yielding answers of the form a"+b" -- 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 -- 10. 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 -- 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 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 -- 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 -- 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 -- Using a natural logarithms 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 -- 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 -- 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 -- 32. Solving higher degree equations -- The iteration method -- The bisection method -- The approximation method -- 33. Algebra for calculus -- Introduction -- Limit of a sequence -- Limit of a series -- Convergence and divergence -- Limit of a function -- Appendix A. Table of common logarithms -- Appendix B. Table of natural logarithms.

Summary: More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

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Holdings
Item type	Current library	Home library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	National University - Manila	LRC - Architecture General Circulation	Environmental Planning	GC QA 157 .M69 2019 (Browse shelf(Opens below))	c.1	Available		NULIB000020619

Browsing LRC - Architecture shelves, Shelving location: General Circulation, Collection: Environmental Planning Close shelf browser (Hides shelf browser)

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Previous	GC Q 180.55.M4 .C73 2016 The Craft of research /	GC QA 37.2 .F74 2019 Intro to college math : basic arithmetic, geometry, algebra, probability and stats /	GC QA 276.19 .S65 2018 Schaum's outline of statistics /	GC QA 157 .M69 2019 Schaum's outline of college algebra /	GC QA 157 .S74 2019 Algebra II /	GC QA 157 .S74 2022 Algebra II all-in-one for dummies /	GC QA 276 .R86 2022 Statistics II /	Next

Includes index.

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 --
Products yielding answers of the form a"+b" --
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 --
10. 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 --
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 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 --
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 --
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 --
Using a natural logarithms 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 --
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 --
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 --
32. Solving higher degree equations --
The iteration method --
The bisection method --
The approximation method --
33. Algebra for calculus --
Introduction --
Limit of a sequence --
Limit of a series --
Convergence and divergence --
Limit of a function --
Appendix A. Table of common logarithms --
Appendix B. Table of natural logarithms.

More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

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