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| Steege R., Bailey K., Hademenos G.J. — Intermediate Algebra: Based on Schaum's Outline of Theory and Problems of Intermediate Algebra |
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Íàçâàíèå: Intermediate Algebra: Based on Schaum's Outline of Theory and Problems of Intermediate Algebra
Àâòîðû: Steege R., Bailey K., Hademenos G.J.
ßçûê: 
Ðóáðèêà: Ìàòåìàòèêà/
Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö
ed2k:
Êîëè÷åñòâî ñòðàíèö: 120
Äîáàâëåíà â êàòàëîã: 14.05.2008
Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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| Ïðåäìåòíûé óêàçàòåëü |
Abscissas 34
Absolute value 10
Absolute-value equations 43—45
Absolute-value functions 93
Absolute-value inequalities 43—45
Addition 10—11 27 70—71 80—81
Addition property of equality 32
Algebra, binomial theorem 109—113
Algebra, exponential and logarithmic functions 95—104
Algebra, exponents 46—48
Algebra, first-degree equations 30—40
Algebra, functions 85
Algebra, fundamental concepts 1—12
Algebra, inequalities 40—45 64—66
Algebra, polynomials 13—22
Algebra, radicals 49—53
Algebra, rational expressions 23 —29
Algebra, relations and functions 83—94
Algebra, roots 48—49
Algebra, second-degree equations 54—66
Algebra, sequences 105—107
Algebra, series 107—109
Algebra, systems of equations and inequalities 67—82
Algebraic expressions 13—15
Arithmetic progressions 106
Arithmetic sequences 106
Associative properties 9
Augmented matrix 78
Axioms 5
Axis of symmetry 63
Binomial coefficients 112
Binomial theorem 109—113
Binomials 14
Cartesian product 83—85
Closed interval 8
Closure properties 8—9
Coefficient matrix 78
Coefficients 14
Combining like terms 16
Common logarithims 99—100
Common ratio 107
Commutative properties 9
Completing the square 57—58
Complex fractions 29
components 34
Composition of functions 85
Compound interest 102—103
Conditional equations 31
Consistent systems 68
Constants 4
Contradictions 31
coordinates 6
Counting numbers 2
Cramer’s Rule 76—77
Critical values 65
Cube roots 49
definitions 13—15
Definitions, absolute value functions 93
Definitions, addition 27
Definitions, Cartesian Product 83
Definitions, conditional equations 31
Definitions, contradictions 31
Definitions, cube roots 49
Definitions, determinants 75—76
Definitions, division 26
Definitions, domain 84
Definitions, equations 31
Definitions, equivalent equations 32—33
Definitions, equivalent inequalities 40
Definitions, explicit solutions 37
Definitions, exponential functions 95—96
Definitions, formulas 37
Definitions, functions 84
Definitions, General Form 90
Definitions, identities 31
Definitions, inequalities 40
Definitions, integer exponents 48
Definitions, Intercept Form 90
Definitions, inverse functions 93—94
Definitions, inverse relations 93—94
Definitions, less than 6
Definitions, linear functions 91
Definitions, literal equations 37
Definitions, logarithmic functions 97—98
Definitions, multiplication 25
Definitions, notation 85
Definitions, Point-Slope Form 89
Definitions, principal fourth roots 49
Definitions, principal nth roots 49
Definitions, principal square roots 49
Definitions, proportions 38
Definitions, quadratic functions 92—93
Definitions, range 84
Definitions, ratios 38
Definitions, relations 84
Definitions, roots 31
Definitions, sets 2—4
Definitions, Slope-Intercept Form 89
Definitions, solution sets 31 40
Definitions, solutions 31 40
Definitions, square root functions 93
Definitions, Standard Form 90
Definitions, subtraction 27
Definitions, x-intercepts 36
Definitions, y-intercepts 36
Definitions, zero exponents 46
Dependent systems 70
dependent variables 84
Determinants 74—76
Differences 15—16 26—29
Distance 86—87
Distance formula 86—87
Distributive properties 10
Division 11 20—21 26
Domain of a variable 4
domains 84
Elements of a set 1—3
Empty sets 2
Equations, absolute-value 43—45
Equations, conditional 31
Equations, definition 31
Equations, equivalent 32—33
Equations, exponential 100—101
Equations, first-degree 30—40
Equations, linear 36 88—91
Equations, literal 37—38
Equations, logarithmic 100—101
Equations, non-linear 80—81
Equations, quadratic 54—55 61
Equations, radicals 60—61
Equations, second-degree 54—66
Equations, systems 67—82
Equivalent equations 31
equivalent expressions 16
Equivalent inequalities 40
Expansion by minors 75
Exponential decay 103—104
Exponential equations 100—101
Exponential growth 103—104
Exponential properties 97
Exponents 46—48
Expressions 13—15
Factoring 18—19
Factors, solving quadratic equations 55—56
Finite sequences 105
First components 34
First-degree equations 30—40
First-degree equations, graphs 34—37
First-degree inequalities, applications 43—45
First-degree inequalities, graphs 42—43
| First-degree inequalities, solutions 40—42
formulas 37—38
Formulas, distance 86—87
Formulas, quadratic 58—60
Formulas, slope 87—88
Fractions 24 29
Functions 83—94 95—104
Fundamental principle of fractions 24
Geometric progressions 106—107
Geometric sequences 106—107
graphs 6 84
Graphs, first-degree equations 34—37
Graphs, inequalities 42—43
GROUPING 18—19
Half-open interval 8
Half-planes 42
identities 31
Identities, properties 9
Implicit domains 84—85
Improper subsets 2
Inconsistent systems 69
Independent systems 68
Independent variables 84
Index of the summation 108
Indexes 49
Inequalities 40—45 64—66
Inequalities, systems 67—82
Infinite geometric series 109
Infinite sequences 105
Infinite series 109
infinity symbol 8
Integers 4
Interest 102—103
Intersection of sets 3
Interval notation 7—8
Inverse functions 93—94
Inverse properties 9—10
Inverse relations 93—94
Irrational numbers 4
laws 5
Laws, exponents 17—18 21—22
Laws, integer exponents 48
LCD see “Least common denominator”
Least common denominator 28—29
Like radicals 53
Like terms 16
Linear equations 36
Linear equations, forms 88—91
Linear functions 91
Linear systems, three variables 72—74
Linear systems, two variables 67—72
Literal equations 37—38
Logarithmic equations 100—101
Logarithmic functions 95—104 97—100
Logrithms 99—100
Lower limit of the summation 108
Matrix 77—79
Maximum point 63
Members of a set 1—3
Minimum point 63
Minors of an element 75
Mixed operations 29
Monomials 14
Multiplication 11 25—26
Multiplication property of equality 32
Natural exponential functions 96
Natural logarithims 99—100
Natural numbers 2
Negative infinity symbol 8
negative numbers 6
Negative-integer exponents 47—48
Nonlinear equations 80—81
Nonlinear systems 80—81
Nonnegative numbers 7
Nonpositive numbers 7
Notation 85 108
Null sets 2
Number lines 5—6
Open interval 8
Operations 10—11
order of operations 11
Ordered pairs 34
Ordinates 34
origins 6
Parabolas 61—63
Parallel lines 90
Pascal, Blaise 110
Pascal’s triangle 110—111
Perpendicular lines 91
Polynomial functions 92—93
Polynomials 13—22
Positive numbers 6
PRIMES 18
Principal nth roots 49
Principal square roots 49
Principles 5
Principles, fundamental of fractions 24
Products 16—18
Proper subsets 2
Properties 5
Properties, absolute-value equations 44—45
Properties, addition of equality 32
Properties, closure 8—9
Properties, commutative 9
Properties, distributive 10
Properties, equations involving radicals 60—61
Properties, exponential 97
Properties, inequalities 40—41
Properties, logarithmic 100
Properties, multiplication of equality 32
Properties, radicals 50
Properties, rational expressions 23—24
Properties, real numbers 8—10
Properties, zero factor 55
proportions 38
Pythagorean Theorem 86
Quadratic equations 54—64
Quadratic formula 58—60
Quadratic functions 91—93
Quadratic inequalities 65—66
Radical signs 49
Radicals 49—53
Radicals, equations 60—61
Radicands 49
Rational exponents 48—49
Rational expressions 23—29
Rational inqualities 64—66
Rational numbers 4
Rationalizing the denominator 51—52
Ratios 38
Real numbers 4 30
Real numbers, operations 10—11
Real numbers, properties 8—10
Reflexive properties 5
Relations 83—94
Roots 31 48—49
Row-equivalent matrices 78—79
SCALE 6
Second components 34
Second-degree equations 54—66
Second-degree equations, graphs 61—64
Second-degree equations, solving 54—57
Second-degree inequalities 54—57
Second-order determinants 75
Sequences 105—107
Series 107—109
Sets 1—4 31
Sign diagrams 65
Slope of a line 87—88
Solution sets 31
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