Numerical Analysis and Approximation I

Math 701: Numerical Analaysis and Approximation I

Days & Times       Room    Instructor      Meeting Dates
TR noon-1:15pm     AB108   Eric Olson      08/27/2018 - 12/11/2018


[16-Dec-2018] Note on Secant Method

Here are typed lecture notes of the heuristic derivation of the order of convergence of the secant method discussed in class along with a rigorous proof of the same. You need know only the heuristic derivation for the final exam.

[12-Dec-2018] Quiz 2 Answers

My solution key to Quiz 2 is available to help you study for the final exam.

[11-Dec-2018] Programming Project 1 Answers

Here are my solutions for Programming Project 1. Please let me know if you find any errors.

[04-Dec-2018] Quiz 2 Study Guide

There will be a quiz in preparation for the final on Tuesday December 11. This quiz will cover material from the previous quiz as well as the following additional topics:

[02-Dec-2018] Programming Project 2

Programming Project 2 is now available. Please turn in your finished report at the beginning of the final exam.

[01-Dec-2018] Quiz 1 Answers

My solution key to Quiz 1 is available to help you study for the final exam. It is also available in DjVu format if you have trouble downloading the PDF file.

[20-Nov-2018] Quiz 1 Study Guide

There will be a quiz Tuesday before Thanksgiving which covering the following topics:

[09-Oct-2018] Programming Project 1

Programming Project 1 is now available. We shall work on the code in class but you should make your own individual report.

[25-Sep-2018] Files for Writing a Report

I have put a few example files that we will modify to make a report on loss of precision and rounding error.

[12-Sep-2018] Handouts and Lecture Notes

A new section below has been created for handouts and lecture notes. Note that some of the files are for use only by UNR students and have been password protected. Please see me if you forgot the password.

[04-Sep-2018] Video Homework 1

Please watch the video Beating Floats at Their Own Game and answer the following questions. You may wish to consult this preprint which further describes posits.

Course Information

Eric Olson
ejolson at unr edu
Monday, Wednesday and Thursday 1pm DMS 238 and by appointment.

Required Texts:
David Kincaid, Ward Cheney, Numerical Analysis: Mathematics of Scientific Computing, 3rd Edition, American Mathematical Society, 2002.

Kendall Atkinson and Weimin Han, Theoretical Numerical Analysis: A Functional Analysis Framework, 3rd Edition, Spring, 2009.

Additional Resources

The following books contain useful information about computer programming:
Brian Kernighan, Dennis Ritchie, C Programming Language, 2nd Edition, Prentice Hall, 1988.

Brian Kernighan, Rob Pike, The Unix Programming Environment, 1st Edition, 1984.

Robert Glassey, Numerical Computation Using C, Academic Press, 1993

Class Handouts and Lecture Notes

  1. Introduction
  2. Chapter 1
  3. Chapter 2
  4. Chapter 3
  5. Chapter 1

Internet Resources

Extra Credit

Read section 1.4 on roundoff error in Chapter 1 and answer questions 11abc and 14abcdef.


    2 Exams                   20 points each
    2 Homework Assignments    30 points each
    2 Programming Projects    30 points each
    1 Final Exam              40 points
                             200 points total

This is an upper-division mathematics class class.  Exams and quizzes
will be interpreted according to the following grading scale:

    Grade        Minimum Percentage
      A                 85 %
      B                 70 %
      C                 60 %
      D                 50 %

The instructor reserves the right to give +/- grades and higher grades
than shown on the scale if he believes they are warranted.

Quizzes, Exams and Homework

Final Exam

The final exam will be held on Monday, December 17 from 12:10-2:10pm in AB106.

Equal Opportunity Statement

The Mathematics Department is committed to equal opportunity in education for all students, including those with documented physical disabilities or documented learning disabilities. University policy states that it is the responsibility of students with documented disabilities to contact instructors during the first week of each semester to discuss appropriate accommodations to ensure equity in grading, classroom experiences and outside assignments.

Academic Conduct

Bring your student identification to all exams. Work independently on all exams and quizzes. Behaviors inappropriate to test taking may disturb other students and will be considered cheating. Don't talk or pass notes with other students during an exam. Don't read notes or books while taking exams given in the classroom. We will work on the programming assignments as a team--please turn in individually prepared reports. Homework may be discussed freely. If you are unclear as to what constitutes cheating, please consult with me.
Last updated: Sat Aug 11 14:18:59 PDT 2018