Courses   <-  Sean Forman   <-  You Are Here Numerical Analysis

October 21, 2002

Due: October 30, 2002

Assignment#5: (50 points) All work should be your own.

1. (5 pt) 6.2.4

2. (5 pt) 6.2.6

3. (10 pt) 6.3.2, find the quadratic rather than linear nodes and near-minimax approximation.

4. (10 pt) Find the quadratic near-minimax interpolant for $g(t) = sin(t)$, $0 \leq t \leq \frac{\pi}{2}$.

5. (10 pt) 7.1.2ac. Do not write a program. Evaluate $T_n (f)$ and $S_n(f)$ only for $n=2, 4, 8$. Find the errors and ratios by which the errors decrease.

6. (10 pt) 7.1.6. Maple can be of great help in this for simplifying the polynomial and computing the interpolant.