Math 467/667
Spring 2021 University of Nevada Reno
467/667 NUMERICAL METHODS II (3+0) 3 credits
Instructor Course Time Room
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Eric Olson Math 467/667 Numerical Methods II TR 3:00-4:15pm Remote
Course Information
- Instructor:
- Eric Olson
- email:
- ejolson at unr dot edu
- Office:
- Through Zoom by appointment.
- Homepage:
- http://fractal.math.unr.edu/~ejolson/467/
Required Texts and Equipment
- Arieh Iserles,
A
First Course in the Numerical Analysis of Differential Equations,
Second Edition, 2008. Note that an online copy of this book is
available from the UNR library.
- Home computer running Windows, Linux or MacOS and a suitable
web camera. Note that it is possible to
provision
certain mobile phones as web cameras for use on a computer.
Supplemental Texts on Numerical Methods
- Anthony Ralston and Philip Rabinowitz,
A First Course in Numerical Analysis, Second Edition, Dover, 1978.
- Justin Solomon,
Numerical
Algorithms: Methods for Computer
Vision, Machine Learning and Graphics, CRC Press, 2015.
- David Kincaid and Ward Cheney,
Numerical Analysis: Mathematics of Scientific Computing,
3rd Revised Edition,
Pure and Applied Undergraduate Texts,
American Mathematical Society, 2002.
- R.J. Hosking, S. Joe, D.C. Joyce, J.C. Turner,
First Steps in Numerical Analysis, 2nd Edition, Hodder
Education Publishers, 1998.
- R.W. Hamming,
Numerical Methods for Scientists and Engineers, Second Edition.
- Kendall Atkinson, An Introduction to Numerical Analysis,
Second Edition, Wiley, 1989.
- Eugene Isaacson, Analysis of Numerical Methods, Revised Edition,
Dover Books on Mathematics, 1993.
Information about Software
Student Learning Outcomes
Upon completion of this course students will be able to
- Use Taylor and Runge-Kutta methods to solve IVP's for ODE's.
- Use the shooting and finite difference methods to solve BVP's for ODE's.
- Use Numerical techniques to solve elliptic, parabolic and hyperbolic PDE's.
Lecture Notes
Here are lecture notes from the distance learning classes to help
people catch up who may have experienced technical difficulties during
the lecture.
Attendance is mandatory and will be taken starting
with the second week of class.
Don't forget to check
WebCampus for
graded discussions, pending homework assignments, quizzes and the
schedule of Zoom lectures.
Announcements
[12-Mar-2021] Programming Project 1 Due
The final report in pdf format for
Programming Project 1 is due on
WebCampus by March 12, 2021.
Please upload your report sooner if possible.
It may be updated multiple times up until the final deadline.
[12-Mar-2021] Homework 1
Homework 1 is due on March 12 and consists of the following problems
from Chapter 1 and Chapter 2.
- Iserles 1.1 with the following modifications: Skip everything
to do with the theta method and consider only the implicit midpoint
rule. Prove that the implicit midpoint rule is second order
and then apply the method of proof of Theorems 1.1 and 1.2 to
prove it is convergent.
- Iserles 1.4, 1.5 and 1.8.
- Iserles 2.3abcd, 2.4
Please scan and upload your work to WebCampus.
Try to upload your assignment ahead of time and let me
know if you have any difficulties.
[05-Mar-2021] Video Participation 3 Due
Please watch the video
The Citadel Campus
and answer the following questions.
- Where is the Citadel Campus located?
- What three energy sources are used to generate the electricity used
at the Citadel Campus?
- A Tier 4 datacenter guarantees 99.995% availability.
How many minutes could a datacenter be unavailable per year
and still meet these requirements?
- What is the advertised network latency from Reno to Las Vegas? How
does this compare to the theoretical limits based on the speed of light
found in Video Participation 2?
Your answers are due on WebCampus by March 5, 2021 and
will be counted as part of your participation grade.
Note that many of these questions are open ended.
[19-Feb-2021] Video Participation 2 Due
Please watch the video
Grace Hopper on Letterman
and answer the following questions.
- Who is Grace Hopper?
- How many nanoseconds does it take to travel at the speed of light
from Reno to Las Vegas?
- How many picoseconds does each clock cycle of a CPU running
at 2.8 Ghz take?
- Research other sources of information about Grace Hopper and
relate something you found interesting which doesn't appear
in the video.
Your answers are due on WebCampus by February 19, 2021 and
will be counted as part of your participation grade.
Note that many of these questions are open ended.
[05-Feb-2021] Video Participation 1 Due
Please watch the video
Introducing Aurora, Argonne's Intel-Cray Exascale Supercomputer
and answer the following questions.
- Where is Argonne National Laboratory?
- List some planned applications for the Aurora Supercomputer.
- What is an exascale computer and what does exascale mean?
- What are the possible benefits of mixing numeric simulation
with artifical intelligence?
Your answers are due on WebCampus by February 5, 2021 and
will be counted as part of your participation grade.
Note that many of these questions are open ended.
[04-Feb-2021] Mathematica
We will occasionally use the computer algebra system Mathematica
to derive numeric schemes and analyze their convergence properties.
It is available to all students at
https://remote.unr.edu/
the UNR DataWorks Remote Desktop. Mathematica also comes free with
a
Raspberry Pi, the $35 credit-card sized computer developed in
the United Kingdom for teaching computer science.
[26-Jan-2021] First Day of Class
We will meet over Zoom at 3:00pm. Please see
WebCampus
for the meeting link.
[21-Jan-2021] Mathematics and Statistics Book Club
You are invited to join the Department of Mathematics and Statistics
Book Club!
This club will create opportunities for everyone
to meet, discuss and learn from one another in a positive,
supportive environment.
Faculty and students are all welcome!
The first book we will read and discuss is "Mathematics for
Human Flourishing" by Francis Su.
The e-book
is available for free at the UNR Knowledge Center.
Here is a brief introduction where the author explains his view of
human flourishing.
We will meet via Zoom on
Tuesdays from 1:30 to 2:30pm starting in Spring 2021. The schedule is
- Feb. 2 (Chapters 1 - 3)
- March 2 (Chapters 4 - 7)
- April 6 (Chapters 8 - 11)
- May 4 (Chapters 12 - 13, Epilogue)
Please email Diana Moss or Amit Saini in the Department of Mathematics
and Statistics for the Zoom link if you plan to attend or have questions.
I'll also put a link on our WebCampus page for your convenience.
Note that this is not a mandatory assignment but just an announcement of
an activity you might find fun while sheltering at home to
escape the epidemic.
[20-Jan-2021] Zoom for Students
Information on Zoom for Students is
available here.
If you sign into Zoom ahead of time using your UNR student
account at the UNR Zoom website, you
can enter the online class lectures directly and bypass
the waiting room.
[20-Jan-2021] Zoom
I will be giving online interactive lectures through the
Zoom Video Conferencing system
integrated into WebCampus. If possible, please install and
test this software before the first day of class. Note that
the university has sponsored Zoom accounts for every student.
Accounts may be activated by visiting
https://unr.zoom.us.
You do not need to pay Zoom any money
to use this software on your home computer.
My understanding
is that study rooms may be reserved in Mathewson-IGT Knowledge
Center and equipment
checked
out from the @One Digital Media
and Technology Center by students who need a suitable location
to attend lectures delivered over Zoom.
[20-Jan-2021] WebCampus
This course will be delivered through the
UNR WebCampus a customized version of the
Canvas
learning managment platform. According to
the
documentation Canvas supports access from Windows, MacOS
and Linux using current and first previous major releases of
the Chrome, Firefox, Edge and Safari browsers. If you
are having trouble accessing WebCampus from home or
on campus, please contact
the UNR OIT Helpdesk.
[20-Jan-2021] Julia
Julia is a free open-source software designed at MIT for performing
matrix and vector computations similar to Matlab. This language is
quickly becoming popular in science, technology, engineering and
mathematics because it is easy to use and generally performs faster
than Matlab. Click and install versions can be downloaded for Windows,
macOS and Linux from the
official Julia language website.
If you try to
download it over summer and encounter difficulties, please let me know.
[20-Jan-2021] Alternative Remote
This course was originally scheduled to be delivered in-person, but
has moved to entirely online due to social distancing and capacity
limitations. We will be using a combination of Zoom, WebCampus and other
Internet resources which will be announced later. Luckly, this course
will not include the additional $34 per credit online fee; however,
please make sure you have a computer, suitable web camera and the Internet
connection needed for online learning.
More information is available at
the UNR
Coronavirus Information for Students webpage.
Grading
Midterm (written part) 50 points
Midterm (computer part) 50 points
2 Homework Assignments 40 points each
2 Programming Projects 50 points each
Attendence/Participation 20 points
Final Exam 100 points
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400 points total
Exams and quizzes will be interpreted according to the following
grading scale:
Grade Minimum Percentage
A 90 %
B 80 %
C 70 %
D 60 %
The instructor reserves the right to give plus or minus grades and
higher grades
than shown on the scale if he believes they are warranted.
Course Schedule
The University will be implementing four reading days and an additional
no-instruction Day during the Spring 2021 semester. These five days
will replace Spring Break. Classes (including this one) will not be in
session on these days, although depending on course goals, some
laboratory and studio classes will still be scheduled.
Jan 25-Jan 29 Week 1: 1.1-1.2 Euler's Method
Feb 01-Feb 05 Week 2: 1.3-1.4 Theta Method
Feb 08-Feb 12 Week 3: 2.1-2.2 Adams Bashforth
*** President's Day Monday Feb 15
Feb 16-Feb 19 Week 4: 2.3 Backwards Difference Formulas
Feb 22-Feb 24 Week 5: 3.1 Gaussian Quadrature
*** Reading Day Thursday Feb 25
Mar 01-Mar 05 Week 6: 3.2-3.3 Runge Kutta
Mar 11-Mar 12 Week 7: Review, Midterm
*** Reading Day Tuesday Mar 9
*** Reading Day Wednesday Mar 10
Mar 15-Mar 19 Week 8: 3.4-4.1 Implicit RK and Stability
*** No-Instruction Day Wednesday Mar 24
Mar 22-Mar 26 Week 9: 4.2-4.3 Linear and A Stability
*** Spring Break Cancelled
Mar 29-Apr 02 Week 10: Chapter 5 or 6 or other
Apr 05-Apr 09 Week 11: optional topics
Apr 12-Apr 16 Week 12: 8.1-8.2
Apr 19-Apr 23 Week 13: 8.3
*** Reading Day Wednesday Apr 21
Apr 26-Apr 30 Week 14: 9.1-9.2
May 03-May 04 Week 15: Review
*** Prep Day May 5
*** Final exam Wednesday, May 12 from 2:30 to 4:30am
Course Policies
Communications Policy
Lectures and classroom activities will be held online through Zoom at the
scheduled meeting time listed in MyNevada for this course. Please check
the canvas page for the Meeting ID and Join URL under the Zoom tab. To
promote an open communication through this interactive environment,
video attendance will be mandatory and count as participation in your
final grade. If you wish to set up an appointment for office hours
please send me a message through WebCampus and ask through chat after
one of the online lectures.
Late Policy
Students must have an approved university excuse to be eligible for a
make-up exam. If you know that you will miss a scheduled exam please
let me know as soon as possible. Homework may be turned in late--with a
possible deduction of points depending on the circumstances--as long as
I have not already graded the assignment. When attending a Zoom lecture
for the course, it's always better to be late than never.
Plagiarism
Students are encouraged to work in groups and consult resources outside
of the required textbook when doing the homework for this class. Please
cite any sources you used to complete your work including Wikipedia, other
books, online discussion groups as well as personal communications. Exams
and quizzes, unless otherwise noted, will be closed book, closed notes
and must reflect your own independent work. Please consult the section
on academic conduct below for additional information.
Netiquette
A web camera will be required for this course in order to comply with
university requirements for identity verification. Bring your student
ID to all online quizzes and Zoom lectures as if attending class on
campus. At the beginning of each class please send a quick hello through
chat and a quick goodbye at the end. This will indicate to me that you
are ready and also count towards your attendance and participation score.
Diversity
This course is designed to comply with but not satisfy the UNR Core
Objective 10 requirement on diversity and equity. More information about
the core curriculum may be found in the UNR Catalog
here.
COVID-19 Policies
Statement on COVID-19 Training Policies
Students must complete and follow all guidelines as stated in the Student
COVID-19 Training modules, or any other trainings or directives provided
by the University.
Statement on COVID-19 Face Coverings
In response to COVID-19, and in alignment with State of Nevada Governor
Executive Orders, Roadmap to Recovery for Nevada plans, Nevada System
of Higher Education directives, the University of Nevada President
directives, and local, state, and national health official guidelines
face coverings are required at all times while on campus, except when
alone in a private office. This includes the classroom, laboratory,
studio, creative space, or any type of in-person instructional activity,
and public spaces.
A "face covering" is defined as a covering that fully covers a person's
nose and mouth, including without limitation, cloth face mask, surgical
mask, towels, scarves, and bandanas (State of Nevada Emergency Directive 024).
Students that cannot wear a face covering due to a medical condition or
disability, or who are unable to remove a mask without assistance may seek
an accommodation through the Disability Resource Center.
Statement on COVID-19 Social Distancing
Face coverings are not a substitute for social distancing. Students shall
observe current social distancing guidelines where possible in accordance
with the Phase we are in while in the classroom, laboratory, studio,
creative space (hereafter referred to as instructional space) setting and
in public spaces. Students should avoid congregating around instructional
space entrances before or after class sessions. If the instructional
space has designated entrance and exit doors students are required to
use them. Students should exit the instructional space immediately after
the end of instruction to help ensure social distancing and allow for
the persons attending the next scheduled class session to enter.
Statement on COVID-19 Disinfecting Your Learning Space
Disinfecting supplies are provided for you to disinfect your learning
space. You may also use your own disinfecting supplies.
Contact with Someone Testing Positive for COVID-19
Students must conduct daily health checks in accordance with CDC
guidelines. Students testing positive for COVID-19, exhibiting
COVID-19 symptoms or who have been in direct contact with someone
testing positive for COVID-19 will not be allowed to attend in-person
instructional activities and must leave the venue immediately. Students
should contact the Student Health Center or their health care provider to
receive care and who can provide the latest direction on quarantine and
self-isolation. Contact your instructor immediately to make instructional
and learning arrangements.
Local, State and Federal COVID-19 Information
Statement on Academic Success Services
Your student fees cover usage of the University Math Center, University
Tutoring Center, and University Writing and Speaking Center. These
centers support your classroom learning; it is your responsibility to
take advantage of their services. Keep in mind that seeking help outside
of class is the sign of a responsible and successful student.
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 speak
with the Disability Resource
Center during the first week of each semester to discuss appropriate
accommodations to ensure equity in grading, classroom experiences and
outside assignments.
For assistance with accessibility, or to report an issue,
please use the
Accessibility
Help Form. The form is set up to automatically route your request
to the appropriate office that can best assist you.
Statement on Audio and Video Recording
Surreptitious or covert video-taping of class or unauthorized audio
recording of class is prohibited by law and by Board of Regents
policy. This class may be videotaped or audio recorded only with the
written permission of the instructor. In order to accommodate students
with disabilities, some students may be given permission to record class
lectures and discussions. Therefore, students should understand that
their comments during class may be recorded.
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 send
electronic messages, talk or pass notes with other students during a
quiz or exam. Homework may be discussed freely. When taking a quiz
or exam over Zoom or in the classroom don't read notes or books unless
explicitly permitted. Sanctions for violations are specified in the
University Academic Standards Policy. If you are unclear as to what
constitutes cheating, please consult with me.
Final Exam
The final exam is scheduled for
Wednesday, May 12 from 2:30-4:30pm through alternative remote.
Please make sure you have a web camera available for the final exam.
Last Updated:
Mon Jan 18 14:41:57 PST 2021