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United States NAVY Ч Mathematics, pre-calculus and introduction to probability (Navy course)
United States NAVY Ч Mathematics, pre-calculus and introduction to probability (Navy course)

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Ќазвание: Mathematics, pre-calculus and introduction to probability (Navy course)

јвтор: United States NAVY

јннотаци€:

The objective of this course is to enable the student to identify and perform calculations involving the equations to the various conic sections; recognize and work with concepts in calculus (limits, differentiation, and integration); and recognize the elements of introductory probability theory.


язык: en

–убрика: ћатематика/јнализ/”чебники по элементарному анализу/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1988

 оличество страниц: 384

ƒобавлена в каталог: 15.04.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Abscissas      1-2
Acute angle between two lines      1-10Ч1-12 1-25
Angle between two lines      1-10Ч1-12 1-25
Angle of inclination      1-6 1-24
Area under a curve      6-2Ч6-7 6-15Ч6-19 6-25
Areas above and below a curve      6-20Ч6-23 6-26
Arrangements      8-20 8-25
Asymptotes      2-39 2-57
Center of a circle      2-6 2-54
Chain rule      5-19Ч5-21 5-35
circle      2-6Ч2-17 2-54
Circle defined by three points      2-10 2-54Ч2-55
Combinations      8-1 8-5Ч8-8 8-24
Combinations and permutations      8-1Ч8-27
Combinations and permutations, combinations      8-5Ч8-8 8-24
Combinations and permutations, definitions      8-1Ч8-4 8-24
Combinations and permutations, introduction      8-1
Combinations and permutations, permutations      8-12Ч8-23 8-24
Combinations and permutations, principle of choice      8-10Ч8-12 8-24
Combinations and permutations, summary      8-24Ч8-25
Completing the square      2-7Ч2-8 2-34Ч2-35
Compound probabilities      9-12Ч9-19 9-25Ч9-26
Compound probabilities, dependent events      9-14Ч9-16 9-25
Compound probabilities, independent events      9-12Ч9-13 9-25
Compound probabilities, mutually exclusive events      9-17Ч9-19 9-26
Conic sections      2-1Ч2-60
Conic sections, circle      2-6Ч2-17 2-54
Conic sections, ellipse      2-25Ч2-36 2-56Ч2-57
Conic sections, hyperbola      2-37Ч2-48 2-57Ч2-58
Conic sections, introduction      2-1Ч2-2
Conic sections, locus of an equation      2-2Ч2-5 2-54
Conic sections, parabola      2-18Ч2-25 2-55
Conic sections, polar coordinates      2-48Ч2-52 2-58
Conic sections, polar coordinates, transformation from CartesianЧpolar coordinates      2-49Ч2-50 2-58
Conic sections, polar coordinates, transformation from polarЧCartesian coordinates      2-51Ч2-52 2-58
Conic sections, summary      2-54Ч2-58
Conjugate axis      2-40 2-57
Constant of integration      6-8 6-25
Constant, derivative of      5-2Ч5-4 5-34
Constants, integral of      7-2Ч7-3 7-34
ConstantsЧvariable powers, derivative of      5-30Ч5-32 5-36
ConstantЧa variable power, integral of      7-17Ч7-23 7-35
Continuity      4-16 4-30
coordinates      1-2
Definite integrals      6-15Ч6-23 6-26
Dependent events      9-14Ч9-16 9-25
Derivative, general formula of any expression in x      4-21Ч4-22 4-31
Derivative, ways of expressing y with respectЧx      4-20 4-30
derivatives      5-1Ч5-38
Derivatives, derivative of a constant      5-2Ч5-4 5-34
Derivatives, derivative of constantsЧvariable powers      5-30Ч5-32 5-36
Derivatives, derivatives of variables      5-4Ч5-30 5-34Ч5-36
Derivatives, derivatives of variables, chain rule      5-19Ч5-21 5-35
Derivatives, derivatives of variables, implicit functions      5-24Ч5-25 5-36
Derivatives, derivatives of variables, inverse functions      5-22Ч5-23 5-35
Derivatives, derivatives of variables, natural logarithmic functions      5-29Ч5-30 5-36
Derivatives, derivatives of variables, power form      5-4Ч5-7 5-34
Derivatives, derivatives of variables, powers of functions      5-14Ч5-15 5-35
Derivatives, derivatives of variables, products      5-10Ч5-12 5-34
Derivatives, derivatives of variables, quotients      5-12Ч5-13 5-35
Derivatives, derivatives of variables, radicals      5-16Ч5-18 5-35
Derivatives, derivatives of variables, sums      5-8Ч5-10 5-34
Derivatives, derivatives of variables, trigonometric functions      5-26Ч5-29 5-36
Derivatives, introduction      5-1Ч5-2
Derivatives, summary      5-34Ч5-36
Differential      4-16 6-2 6-7 6-25
Differentiation, examples of      4-22Ч4-27
Directrices      2-56 2-57
Directrix      2-1 2-18 2-54 2-55
Discontinuities      4-16Ч4-18 4-30
Distance between two points      1-2Ч1-3 1-24
Distance from a pointЧa line      1-20Ч1-23 1-26
Division of a line segment      1-3Ч1-5 1-24
Eccentricity      2-2 2-54
ellipse      2-25Ч2-36 2-56Ч2-57
Empirical probabilities      9-20Ч9-23 9-26
Equation of a straight line      1-13Ч1-19 1-25Ч1-26
Equation of a straight line, normal form      1-16Ч1-17 1-25
Equation of a straight line, parallel and perpendicular lines      1-18Ч1-19 1-26
Equation of a straight line, point-slope form      1-13Ч1-14 1-25
Equation of a straight line, slope-intercept form      1-14Ч1-15 1-25
Equations and lengths of tangents and normals      3-13Ч3-17 3-30Ч3-31
Expectation      9-8Ч9-11 9-25
Expectation, mathematical expectation      9-10Ч9-11 9-25
Expectation, numerical expectation      9-9Ч9-10 9-25
Factorial      8-2 8-24
Focal chord      2-20 2-40 2-55 2-57
foci      2-40 2-56 2-57
Focus      2-1 2-18 2-54 2-55
Hyperbola      2-37Ч2-48 2-57Ч2-58
Implicit functions, derivative of      5-24Ч5-25 5-36
Inclination and slope      1-6Ч1-8 1-24
Increments and differentiation      4-19Ч4-27 4-31
Increments and differentiation, examples of differentiation      4-22Ч4-27
Increments and differentiation, general formula      4-21Ч4-22 4-31
Indefinite integrals      6-7Ч6-8 6-25
Independent events      9-12Ч9-13 9-25
Indeterminate forms      4-7Ч4-9 4-29
Infinitesimals      4-13Ч4-16
Infinitesimals, conclusions      4-16
Infinitesimals, definition      4-13Ч4-15 4-30
Infinitesimals, products      4-15 4-30
Infinitesimals, sums      4-15 4-30
Integral sign      6-2 6-25
Integral, area under a curve      6-2Ч6-7 6-25
Integral, indefinite integrals      6-7Ч6-8 6-25
Integral, interpretation of      6-2Ч6-8
integrand      6-2 6-25
Integration      6-1Ч6-28
Integration formulas      7-1Ч7-37
Integration formulas, constants      7-2Ч7-3 7-34
Integration formulas, constantЧa variable power      7-17Ч7-23 7-35
Integration formulas, introduction      7-1
Integration formulas, power of a function      7-6Ч7-8 7-34
Integration formulas, power of a variable      7-1Ч7-2 7-34
Integration formulas, powers of trigonometric functions      7-31Ч7-32 7-35
Integration formulas, quotient      7-9Ч7-16 7-34Ч7-35
Integration formulas, quotient, method 1      7-10Ч7-11 7-34
Integration formulas, quotient, method 2      7-12Ч7-14 7-34
Integration formulas, quotient, method 3      7-15Ч7-16 7-35
Integration formulas, summary      7-34Ч7-35
Integration formulas, sums      7-3Ч7-4 7-34
Integration formulas, trigonometric functions      7-24Ч7-30 7-35
Integration, definite integrals      6-15Ч6-23 6-26
Integration, definitions      6-1Ч6-2 6-25
Integration, interpretation of an integral      6-2Ч6-8
Integration, interpretation of an integral, area under a curve      6-2Ч6-7 6-25
Integration, interpretation of an integral, indefinite integrals      6-7Ч6-8 6-25
Integration, introduction      6-1
Integration, rules for integration      6-9Ч6-14 6-26
Integration, summary      6-25Ч6-26
Intermediate Value Theorem      6-4 6-25
Inverse functions, derivative of      5-22Ч5-23 5-35
Length of the normal      3-15 3-31
Length of the tangent      3-15 3-31
Limit concept      4-1Ч4-12
Limit concept, definition of limit      4-1Ч4-6 4-29
Limit concept, indeterminate forms      4-7Ч4-9 4-29
Limit concept, limit theorems      4-10Ч4-12 4-29Ч4-30
Limit theorems      4-10Ч4-12 4-29Ч4-30
Limit, definition of      4-1Ч4-6 4-29
Limits and differentiation      4-1Ч4-34
Limits and differentiation, discontinuities      4-16Ч4-18 4-30
Limits and differentiation, increments and differentiation      4-19Ч4-27 4-31
Limits and differentiation, increments and differentiation, examples of differentiation      4-22Ч4-27
Limits and differentiation, increments and differentiation, general formula      4-21Ч4-22 4-31
Limits and differentiation, infinitesimals      4-13Ч4-16
Limits and differentiation, infinitesimals, conclusions      4-16
Limits and differentiation, infinitesimals, definition      4-13Ч4-15 4-30
Limits and differentiation, infinitesimals, products      4-15 4-30
Limits and differentiation, infinitesimals, sums      4-15 4-30
Limits and differentiation, introduction      4-1
Limits and differentiation, limit concept      4-1Ч4-12
Limits and differentiation, limit concept, definition of limit      4-1Ч4-6 4-29
Limits and differentiation, limit concept, indeterminate forms      4-7Ч4-9 4-29
Limits and differentiation, limit concept, limit theorems      4-10Ч4-12 4-29Ч4-30
Limits and differentiation, summary      4-29Ч4-31
Locus of an equation      2-2Ч2-5 2-54
Mathematical expectation      9-10Ч9-11 9-25
Maximum or minimum points on a curve      3-3 4-25Ч4-26 4-31
Midpoint of a line segment      1-5 1-24
Motion in a circle      3-20Ч3-21
Motion in a straight line      3-19
Mutually exclusive events      9-17Ч9-19 9-26
Natural logarithmic functions, derivative of      5-29Ч5-30 5-36
Natural tangents and cotangents      AI-1ЧAI-10
Normal form of a line      1-16Ч1-17 1-25
Normal line, equation of      3-14 3-30
Normal, length of      3-15 3-31
Numerical expectation      9-9Ч9-10 9-25
Obtuse angle between two lines      1-11Ч1-12 1-25
Ordinates      1-2
parabola      2-18Ч2-25 2-55
Parallel and perpendicular lines      1-18Ч1-19 1-26
Parallel lines      1-18 1-26
Parallel lines, slopes of      1-8 1-24
PARAMETER      3-19 3-31
Parametric equations      3-18Ч3-27 3-31
Parametric equations, motion in a circle      3-20Ч3-21
Parametric equations, motion in a straight line      3-19
Parametric equations, other parametric equations      3-21Ч3-27
permutations      8-2 8-12Ч8-23 8-24
Perpendicular lines      1-19 1-26
Perpendicular lines, slopes of      1-9 1-25
Point-slope form of a line      1-13Ч1-14 1-25
Polar angle      2-49 2-58
Polar coordinates      2-48Ч2-52 2-58
Polar coordinates, transformation from CartesianЧpolar coordinates      2-49Ч2-50 2-58
Polar coordinates, transformation from polarЧCartesian coordinates      2-51Ч2-52 2-58
Pole      2-49 2-58
Power form, derivative of      5-4Ч5-7 5-34
Power of a function, integral of      7-6Ч7-8 7-34
Power of a variable, integral of      7-1Ч7-2 7-34
Powers of functions, derivative of      5-14Ч5-15 5-35
Powers of trigonometric functions, integral of      7-31Ч7-32 7-35
Principle of choice      8-10Ч8-12 8-24
probability      9-1Ч9-29
Probability of failure      9-6Ч9-7 9-25
Probability of success      9-2Ч9-4 9-25
Probability, basic concepts      9-1Ч9-11
Probability, basic concepts, expectation      9-8Ч9-11 9-25
Probability, basic concepts, mathematical expectation      9-10Ч9-11 9-25
Probability, basic concepts, numerical expectation      9-9Ч9-10 9-25
Probability, basic concepts, probability of failure      9-6Ч9-7 9-25
Probability, basic concepts, probability of success      9-2Ч9-4 9-25
Probability, compound probabilities      9-12Ч9-19 9-25Ч9-26
Probability, compound probabilities, dependent events      9-14Ч9-16 9-25
Probability, compound probabilities, independent events      9-12Ч9-13 9-25
Probability, compound probabilities, mutually exclusive events      9-17Ч9-19 9-26
Probability, definition of      9-2 9-25
Probability, empirical probabilities      9-20Ч9-23 9-26
Probability, introduction      9-1
Probability, summary      9-25Ч9-26
Product of two or more functions, derivative of      5-10Ч5-12 5-34
Pythagorean Theorem      1-2Ч1-3
Quotient of two functions, derivative of      5-12Ч5-13 5-35
Quotient, integral of      7-9Ч7-16 7-34Ч7-35
Quotient, method 1      7-10Ч7-11 7-34
Quotient, method 2      7-12Ч7-14 7-34
Quotient, method 3      7-15Ч7-16 7-35
Radicals, derivative of      5-16Ч5-18 5-35
radius of a circle      2-6 2-54
Radius vector      2-49 2-58
Relative frequency of success      9-21 9-26
Repetition      8-21Ч8-23 8-25
Rules for integration      6-9Ч6-14 6-26
Semimajor axis      2-28 2-56
Semiminor axis      2-39 2-57
Slope of a curve at a point      3-2Ч3-11 3-30
Slope of a curve at a point, tangent at a given point on other curves      3-8Ч3-11 3-30
Slope of a curve at a point, tangent at a given point on the standard parabola      3-3Ч3-7 3-30
Slope of a line      1-6Ч1-8 1-24
Slope-intercept form of a line      1-14Ч1-15 1-25
Slopes of parallel and perpendicular lines      1-8Ч1-9 1-24Ч1-25
straight lines      1-1Ч1-28
Straight lines, angle between two lines      1-10Ч1-12 1-25
Straight lines, distance between two points      1-2Ч1-3 1-24
Straight lines, distance from a pointЧa line      1-20Ч1-23 1-26
Straight lines, division of a line segment      1-3Ч1-5 1-24
Straight lines, equation of a straight line      1-13Ч1-19 1-25Ч1-26
Straight lines, equation of a straight line, normal form      1-16Ч1-17 1-25
Straight lines, equation of a straight line, parallel and perpendicular lines      1-18Ч1-19 1-26
Straight lines, equation of a straight line, point-slope form      1-13Ч1-14 1-25
Straight lines, equation of a straight line, slope-intercept form      1-14Ч1-15 1-25
Straight lines, inclination and slope      1-6Ч1-8 1-24
Straight lines, introduction      1-1Ч1-2
Straight lines, slopes of parallel and perpendicular lines      1-8Ч1-9 1-24Ч1-25
Straight lines, summary      1-24Ч1-26
Sum of two or more functions, derivative of      5-8Ч5-10 5-34
Sums, integral of      7-3Ч7-4 7-34
Tangent at a given point on other curves      3-8Ч3-11 3-30
Tangent at a given point on the standard parabola      3-3Ч3-7 3-30
Tangent line, equation of      3-13 3-30
Tangent, length of      3-15 3-31
Tangents, equations and lengths of tangents and normals      3-13Ч3-17 3-30Ч3-31
Tangents, introduction      3-1
Tangents, normals, and slopes of curves      3-1Ч3-33
Tangents, parametric equations      3-18Ч3-27 3-31
Tangents, parametric equations, motion in a circle      3-20Ч3-21
Tangents, parametric equations, motion in a straight line      3-19
Tangents, parametric equations, other parametric equations      3-21Ч3-27
Tangents, slope of a curve at a point      3-2Ч3-11 3-30
Tangents, slope of a curve at a point, summary      3-30Ч3-31
Tangents, slope of a curve at a point, tangent at a given point on other curves      3-8Ч3-11 3-30
Tangents, slope of a curve at a point, tangent at a given point on the standard parabola      3-3Ч3-7 3-30
Transformation from CartesianЧpolar coordinates      2-49Ч2-50 2-58
Transformation from polarЧCartesian coordinates      2-51Ч2-52 2-58
Transverse axis      2-40 2-57
Trial      9-1
Trigonometric functions, derivative of      5-26Ч5-29 5-36
Trigonometric functions, integral of      7-24Ч7-30 7-35
Variable raisedЧa power, derivative of      5-4Ч5-7 5-34
Variables, derivatives of      5-4Ч5-30 5-34Ч5-36
Variables, derivatives of, chain rule      5-19Ч5-21 5-35
Variables, derivatives of, implicit functions      5-24Ч5-25 5-36
Variables, derivatives of, inverse functions      5-22Ч5-23 5-35
Variables, derivatives of, natural logarithmic functions      5-29Ч5-30 5-36
Variables, derivatives of, power form      5-4Ч5-7 5-34
Variables, derivatives of, powers of functions      5-14Ч5-15 5-35
Variables, derivatives of, products      5-10Ч5-12 5-34
Variables, derivatives of, quotients      5-12Ч5-13 5-35
Variables, derivatives of, radicals      5-16Ч5-18 5-35
Variables, derivatives of, sums      5-8Ч5-10 5-34
Variables, derivatives of, trigonometric functions      5-26Ч5-29 5-36
Vertex      2-18 2-55
Vertices      2-56 2-57
y intercept      1-15 1-25
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