Math 441, Introduction to Numerical Analysis
Fall 2006
Preparation for Test 1
We will have the first test on Tuesday, Sept. 26. The test will be on the material
studied in class so far. No calculators or textbooks allowed.
Material:
- Taylor polynomial of a function; remainder in Lagrange form; convergence of
the Taylor series; using the Taylor series for computing approximations to function values.
- Machine numbers on MARC-32; absolute and relative round-off error.
- Elementary matrices; Gaussian elimination and LU-factorization.
- Nonlinear equations: bisection method; Newton's method; q-linear convergence
and q-quadratic convergence.
Suggestions for studying:
- Understand the basics first, worry later about sophisticated details.
- Know well the statements of the basic theorems.
- Read the solved problems in the textbook. Study the homework problems
and the provided solutions.