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

December 9, 2002

Final Exam Review. The Final exam is Wednesday, December 11, 4:30-6:30 in our normal room at the normal time.

You will be allowed any notes or books that you wish to bring. Seating will be assigned as before and you will need to bring your own materials and calculator and will not be able to share or use my book. In addition to the materials from the first five chapters, there will be some of the following material from the last three chapters.

The exam will contain many questions and you will choose a subset of the questions to do. Read the instructions carefully before beginning the exam. I'm guessing the final will be 40% old stuff and 60% new stuff. I will set it up, so you will have to do some problems from each part.

1. Chapter 6 Near mini-max approximation. I might ask to you find the near-minimax interpolant on some random interval. You should know what Chebyshev polynomials are and how to use them.

2. Chapter 7 Trapezoidal rule, Simpson's rule, error bounds and asymptotic error estimates. Gaussian Quadrature and Numerical differentiation. Issues with periodic integrals. Richardson extrapolants.

3. Chapter 8 Solutions to systems of linear equations. Operation counts, matrix operations, norms. Residual corrector methods, iterative methods. LU factorization, error estimation, condition numbers. Setting up least squares systems of equations.

4. Chapter 9 Basic DiffEQ methods. Euler's and Runge-Kutta methods.

You are also responsible for any other topics we covered in class, on homework, or on exams.