課程名稱︰ 中等數值方法
課程性質︰ 選修
課程教師︰ 李克強
開課學院： 工學院
開課系所︰ 化工系
考試日期（年月日）︰ 2015.04.20
考試時限（分鐘）： 120
試題 :
Intermediate Numerical methods Midterm
1. Find the solution of the following nonlinear algebraic equation with
Newton-Raphson iteration method: (25%)
3
x = sinx
2. Find the Lagrange interpolating polynomial passing through the following
data points: (25%)
x │ 0 │ 1.0│ 2.0│ 3.0
───┼──┼──┼──┼───
y(x) │ 2.7│ 1.2│-1.3│ 0.8
What is the value of y(1.5) according to the interpolating polynomial?
3. Redo problem (2) by using Newton's forward difference interpolating
polynomial and evaluate y(1.5) accordingly. (25%)
4. Redo problem (3) by using Newton's backward difference interpolating
polynomial. (25%)