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Numerical Analysis

October 2, 2002

First Exam Review. The first exam is Wednesday, October 9, 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. Here is a summary of materials you might find from the five chapters we covered. You will not have to do anything with Maple on the exam.

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.

  1. Chapter 1 Taylor polynomials, errors in Taylor polynomials and polynomial evaluation.

  2. Chapter 2 Computer representation of numbers, floating point numbers, binary numbers, maximum accuracy, etc. IEEE standard.

  3. Chapter 3 Error, computation, sources, propogations, relative error, summation errors.

  4. Chapter 4 Rootfinding, bisection, Newton's method, secant method, fixed point theory, problems with rootfinding.

  5. Chapter 5 Interpolation, polynomial interpolation, splines, divided differences, errors in interpolation, ways to calculate interpolants. For splines, you will only need to know how to identify if an equation is a natural cubic spline.

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





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