?????????????%20(Computation%20Skill)

1
???????????????? 1?????????????

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• ???????????????????????????????????????
• ?????????????????? ???????????????????????????

2
????????????? (Computation Skill)

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  ???????????????????????? ?????????????????????????
  ?????????????????? ?????????????????? 5 ????????
  ??????
• ??????? (Algebra) ???????? (Geometry)
  ????????????? (Trigonometry)
• ???????? (Calculus)
• ????? (Statistics)
• ????????????????????? (Numerical Methods)
• ????????????????? (Computers)

3
??????? ???????? ?????????????

• ???????????????????????????
• ab ac a(b c)
• x2 y2 (x y)(x y)
• x3 y3 (x y)(x2 xy y2)
• (x y)2 x2 2xy y2
• (x y)3 x3 3x2y 3xy2 y3

4
??????? ???????? ?????????????

• ???????????????????????
• ap ? aq apq
• ap / aq ap-q
• (ap)q apq
• loga(MN) logaM logaN
• loga(M/N) logaM logaN
• loga(MP) P?logaM
• logaN logbN / logba

5
??????? ???????? ?????????????

• ?????????????????
• ?????
• ??????? A pr2
• ????????? P 2pr
• ???????
• ??????? V 1/3 (pr2h)
• ?????????? S pr2 prL
• pr2 pr?(r2h2)

6
??????? ???????? ?????????????

• ???????????????

7
??????? ???????? ?????????????

• ?????????????????
• sin2q cos2q 1
• sin 2q 2sinqcosq
• cos 2q cos2q sin2q
• sin(AB) sin(A)cos(B) cos(A)sin(B)
• sin(A-B) sin(A)cos(B) cos(A)sin(B)
• cos(AB) cos(A)cos(B) sin(A)sin(B)
• cos(A-B) cos(A)cos(B) sin(A)sin(B)

8
?????

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• ?????????????? ???????????????????
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• ????? ???????
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• ???????????????? ?????????? ??????????
• ?????????????????????????????????????
• ???????????????????? ????????????????????????

9
????????

• ???????? (Derivative)
• ???????????????????
• ?????????????????????? y ??????????? x
• ????????????????????????????
• ??????? ? ??? (x, y) ??? ??????????? y f(x)
  ??? f(x)
• ??????????????????????????????????????
• ?????????????????????????????????? y f(x) ???
  ??? x ??????????????? ????? f(x) 0 ???
• ??? f(x) lt 0 ????????????????????????????
• ??? f(x) gt 0 ????????????????????????????

10
????????

• ????????? (Integral)
• ??????????????
• ???????????????????????????????????? ????????
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• ????????????????????????????????????????????????
  ????????? ???????????

11
?????????????????????

• ???????????????? (Roots of Equations)
• Bisection Method
• False-Position Method
• Fixed-Point Iteration
• Newton-Raphson Method
• Secant Method

12
?????????????????????

• ??????????????????????? (Systems of Linear
  Equations)
• Gauss Elimination Method
• Gauss-Jordan Method
• Matrix Inverse Method
• LU-Decomposition Method
• Gauss-Seidel Method

13
?????????????????????

• ????????????????????????????? (Curve Fitting)
• Linear Regression
• Polynomial Regression
• Multiple Linear Regression
• Newtons Divided-Difference Interpolating
  Polynomials
• Lagrange Interpolating Polynomials
• Spline Interpolation

14
?????????????????????

• ??????????????????? (Integration)
• Trapezoidal Rule
• Simpsons Rules
• Romberg Integration
• Gauss-Legendre Formulas
• ???????????????? (Differentiation)
• High-Accuracy Finite-Divided-Difference Formulas
• Richardson Extrapolation

15
?????????????????????

• ???????????????????????????? (Ordinary
  Differential Equations)
• Eulers Method
• Heuns Method
• Modified Eulers Method
• Runge-Kutta Methods

16
?????????????????

• ???????????????????????????????????????????
• C
• Visual Basic
• Fortran
• ??????????????????????
• Microsoft Office Tools
• AutoCAD
• DOE-2 ???? EnergyPlus ??????????????????????????
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• Fluent - ????????????????????????????