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Methods Flash Cards

Hannah Williams Englisch 99 Karten

Methods Flash Cards

Karten in diesem Stapel (99)

  1. 1Quadratic formulaQuadratic formula
  2. 2—
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  16. 16—
  17. 17Closed intervalClosed interval
  18. 18Open intervalOpen interval
  19. 19InfiniteInfinite
  20. 20Equation of a straight lineEquation of a straight line
  21. 21—
  22. 22—
  23. 23—
  24. 24General equation of a conicGeneral equation of a conic
  25. 25Ellipse equation in standard formEllipse equation in standard form
  26. 26Ellipse equation in parametric formEllipse equation in parametric form
  27. 27Hyperbola equation in standard formHyperbola equation in standard form
  28. 28Hyperbola equation in parametric formHyperbola equation in parametric form
  29. 29Parabola in standard formParabola in standard form
  30. 30Parabola in hyperbolic formParabola in hyperbolic form
  31. 31Definition of the domainWhat goes into the function, the x values
  32. 32Definition of the codomainWhat may possibly come out of the function
  33. 33Definition of the rangeWhat actually comes out of a function, the y values
  34. 34Definition of a one-to-one functionEvery element of the range corresponds to one element of the domain
  35. 35Definition of an even functionSymmetrical about the y-axisDefinition of an even function
  36. 36Definition of an odd functionRotational symmetry about the originDefinition of an odd function
  37. 37Definition of a periodic functionGraph repeats itself every TDefinition of a periodic function
  38. 38Monotonically increasingMonotonically increasing
  39. 39Monotonically decreasingMonotonically decreasing
  40. 40—
  41. 41—
  42. 42—
  43. 43Composite functionComposite function
  44. 44Inverse functionwhere f(x) is one-to-oneInverse function
  45. 45Conditions for a function f(x) to be continuous at cConditions for a function f(x) to be continuous at c
  46. 46—
  47. 47—
  48. 48—
  49. 49nth term of an arithmetic sequencenth term of an arithmetic sequence
  50. 50nth term of a geometric sequencenth term of a geometric sequence
  51. 51Sum/difference ruleSum/difference rule
  52. 52Product ruleProduct rule
  53. 53Quotient ruleQuotient rule
  54. 54Sandwich theoremSandwich theorem
  55. 55Sum of n terms of an arithmetic seriesSum of n terms of an arithmetic series
  56. 56Sum to n terms of a geometric seriesSum to n terms of a geometric series
  57. 57Sum to infinity of a geometric seriesSum to infinity of a geometric series
  58. 58Properties of convergent seriesProperties of convergent series
  59. 59Divergence testDivergence test
  60. 60Comparison testComparison test
  61. 61Ratio testRatio test
  62. 62Leibniz' theoremLeibniz' theorem
  63. 63Absolute convergenceand it is said to converge absolutely.Absolute convergence
  64. 64Formal definition of a derivativeFormal definition of a derivative
  65. 65—
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  77. 77Product ruleProduct rule
  78. 78Quotient ruleQuotient rule
  79. 79Chain ruleChain rule
  80. 80Second derivative chain ruleSecond derivative chain rule
  81. 81Leibniz rule for repeated differentiation of productsLeibniz rule for repeated differentiation of products
  82. 82The linearization of f(x) at x=aThe linearization of f(x) at x=a
  83. 83Extreme value theorem of continuous functionsIf f(x) is continuous at every point on [a,b] then f takes both its maximum and minimum values on this interval.
  84. 84Concave function ff is concave if any chord joining two points lies above the graph
  85. 85Convex function ff is convex is any chord joining two points lies below the graph
  86. 86Point of inflexionthen x is a point of inflexionPoint of inflexion
  87. 87L'Hôpital's rule (for functions)If f(a)=g(a)=0 (or f(a)=g(a)=∞), and we can evaluate f'(a) and g'(a), thenL'Hôpital's rule (for functions)
  88. 88Intermediate Value TheoremA function f(x) that is continuous at all
    x∈[a,b] takes on every value between f(a) and f(b)
  89. 89Rolle's TheoremSuppose that f(x) is continuous at all x∈[a,b] and it is differentiable at all x∈(a,b), and f(a)=f(b), then there is at least one value c∈(a,b) such that f'(c)=0
  90. 90The Mean Value TheoremSuppose that f(x) is continuous at all x∈[a,b], it is differentiable at all x∈(a,b) then there is at least one c∈(a,b) such thatThe Mean Value Theorem
  91. 91Constant Difference TheoremConstant Difference Theorem
  92. 92Maclaurin seriesMaclaurin series
  93. 93Taylor seriesTaylor series
  94. 94Remainder term, Taylor's theoremRemainder term, Taylor's theorem
  95. 95Remainder estimationwhere M and R are positive constantsRemainder estimation
  96. 96Scalar productScalar product
  97. 97Vector productVector product
  98. 98Equation of a line (vectors)Equation of a line (vectors)
  99. 99Equation of a plane (vectors)Equation of a plane (vectors)

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Karteikarten am Methods Flash Cards, erstellt von Hannah Williams am 13/11/2017.
Erstellt von
Hannah Williams
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