Math 701: Numerical Analaysis and Approximation I
Days & Times Room Instructor Meeting Dates

TR noon1:15pm AB108 Eric Olson 08/27/2018  12/11/2018
Announcements
[16Dec2018] 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.
[12Dec2018] Quiz 2 Answers
My solution key to Quiz 2 is available to
help you study for the final exam.
[11Dec2018] Programming Project 1 Answers
Here are my solutions for
Programming Project 1. Please let me
know if you find any errors.
[04Dec2018] 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:
 Hand computation of A_{1} and
A_{∞} matrix norms for a given matrix.
 Proof that B_{2}= ρ(B^{T}B)^{1/2}
where ρ(A)=max{ λ : λ is an eigenvalue of A }.
 The rest of the problems in Homework 2.
[02Dec2018] Programming Project 2
Programming Project 2 is now available.
Please turn in your finished report at the beginning of the
final exam.
[01Dec2018] 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.
[20Nov2018] Quiz 1 Study Guide
There will be a quiz Tuesday before Thanksgiving which covering
the following topics:
 Statement of Taylor's theorem.
 Proof of Taylor's theorem.
 Description of Newton's method.
 Proof of quadratic convergence of Newton's method.
 Homework on roudning error.
 Description of power method for finding the largest
eigenvalue in magnitude and corresponding eigenvector.
 Proof that the power method converges in the case
where A is a positive semindefinite matrix.
 Homework on matrix norms Section 4.4 problems 1,2,3,4,5.
 Programming project on Newton's method, the secant
method, Steffenson's method and secantlike approximation
of Steffenson's method.
[09Oct2018] 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.
[25Sep2018] 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.
[12Sep2018] 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.
[04Sep2018] Video Homework 1
Please watch the video
Beating Floats
at Their Own Game
and answer the following questions.
 In what country does John Gustafson currently live?
 Show that the dot product of (3.2e8,1,1,8.0e7) with
(4.0e7,1,1,1.6e8) is exactly 2.
 What are the advantages of posits compared to floating point numbers?
 Predict when, if ever, hardware that implements posit arithemtic
will be available for student use in the UNR computing labs.
Explain your reasoning.
You may wish to consult this preprint
which further describes posits.
Course Information
 Instructor:
 Eric Olson
 email:
 ejolson at unr edu
 Office:
 Monday, Wednesday and Thursday 1pm DMS 238 and by appointment.
 Homepage:
 http://fractal.math.unr.edu/~ejolson/701
 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
 Introduction
 Chapter 1
 Chapter 2
 Chapter 3
 Chapter 1
Internet Resources
Extra Credit
Read section 1.4 on roundoff error in Chapter 1
and answer questions 11abc and 14abcdef.
Grading
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 upperdivision 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
 Homework #1 Section 2.2 Problems 1,2,3,4,5,11,16,20,22
 Quiz 1 (answers)
 Homework #2 Section 4.4 Problems 1,2,3,4,5,17,18,19,33,39
Final Exam
The final exam will be held on
Monday, December 17 from 12:102:10pm 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 teamplease 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