Math 467/667

Spring 2023 University of Nevada Reno

467/667 NUMERICAL METHODS II (3+0) 3 credits

Numerical differentiation and integration; numerical solution of ordinary differential equations, two point boundary value problems; difference methods for partial differential equations. CS 467 and MATH 467 are cross-listed; credit may be earned in one of the two. Prerequisite(s): MATH 285.

Instructor  Course                             Time            Room
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Eric Olson  Math 467/667 Numerical Methods II  TR 9-10:15am    DSMC106

Course Information

Instructor:
Eric Olson
email:
Please contact me through WebCampus
Office:
DMS 238 and through Zoom by appointment
Homepage:
http://fractal.math.unr.edu/~ejolson/467/
Live Stream:
If you can't come to class due to sickness, quarantine or other reasons, please join via the Zoom link in WebCampus.

Required Texts

  1. 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.

Information about Software

Student Learning Outcomes

Upon completion of this course students will be able to
  1. Use Gaussian quadrature to approximate integrals.
  2. Use Runge-Kutta and Multistep methods to solve IVP's for ODE's.
  3. Use finite-difference techniques to solve elliptic PDE's.

Computer Labs

Homework

Lecture Notes

Announcements

[20-May-2023] HW5 Solutions

I have posted my solutions for homework five. If you find any errors please let me know.

[16-May-2023] Final Exam

The final exam is scheduled for Tuesday, May 16 from 7:30-9:30am in DSMC106. This is a closed-book closed-computer theoretical exam. There is no lab part to this exam. Please be prepared to

[1-May-2023] HW4 Solutions

I have posted my solutions for homework four. If you find any errors please let me know.

[27-Apr-2023] In-class Computer Lab 5

Today will be in-class computer lab 5. Your finished work should be uploaded to WebCampus at the end of class.

[13-Apr-2023] Computational Exam

The computational exam will be given in class on April 13. The format will be similar to the computer labs but with less detail and a choice of which problems to work. Please review computer labs 1 through 4 and in particular know how to

[8-Apr-2023] HW3 Solutions

I have posted my solutions for homework three. If you find any errors please let me know.

[6-Apr-2023] In-class Computer Lab 4

Today will be in-class computer lab 4. Your finished work should be uploaded to WebCampus at the end of class.

[16-Mar-2023] Theoretical Exam

The theoretical exam will be given in class on March 16. Please be prepared to

[13-Mar-2023] HW2 Solutions

I have posted my solutions for homework two. If you find any errors please let me know.

[2-Mar-2023] In-class Computer Lab 3

Today will be in-class computer lab 3. Your finished work should be uploaded to WebCampus at the end of class.

[26-Feb-2023] HW1 Solutions

I have posted my solutions for homework one. If you find any errors please let me know.

[16-Feb-2023] In-class Computer Lab 2

Today will be in-class computer lab 2. Your finished work should be uploaded to WebCampus at the end of class.

[2-Feb-2023] In-class Computer Lab 1

Today will be in-class computer lab 1. Your finished work should be uploaded to WebCampus at the end of class.

[21-Jan-2023] Welcome Spring 2023

I am looking forward to seeing you starting the first week of class.

Do not come to class if you are sick--even if it's something other than COVID-19. If you are subject to quarantine because of exposure to a person who is sick, please stay home.

This section of Math 467/667 is in person. However, I will live-stream our class meetings each day at a link available in WebCampus for those who are sick or unable to attend on a particular day. I will also maintain an online archive of course materials including lecture notes, assignments and other announcements.

Tentative Course Schedule

Jan 23-Jan 20   Week 1: 1.1-1.2 Euler's Method
Jan 30-Feb 03   Week 2: 1.3-1.4 Theta Method (Lab 1)
Feb 06-Feb 10   Week 3: 2.1-2.2 Adams Bashforth
Feb 13-Feb 17   Week 4: 2.3 Backwards Differences (Lab 2)

*** President's Day Monday Feb 20

Feb 21-Feb 24   Week 5: 3.1 Gaussian Quadrature 
Feb 27-Mar 03   Week 6: 3.2-3.3 Runge Kutta (Lab 3)
Mar 06-Mar 10   Week 7: 3.4-4.1 Implicit RK and Stiffness

Mar 13-Mar 17   Week 8: Theoretical Exam

*** Spring Break Saturday Mar 18 to Sunday March 26

Mar 27-Mar 31   Week 9: 4.2 Linear and A Stability 
Apr 03-Apr 07   Week 10: 4.3 Stability of RK Methods (Lab 4)

Apr 10-Apr 14   Week 11: Computational Exam

Apr 17-Apr 21   Week 12: 8.1 Finite Differences
Apr 24-Apr 28   Week 13: 8.2 Two-point boundary problems (Lab 5)
May 01-May 05   Week 14: 8.3 Higher order methods
May 08          Week 15: Review

*** Prep Day May 10
*** Final exam Tuesday, May 16 from 7:30-9:30am in DSMC106

Grading

     Theoretical Exam          30 points
     Computer Exam             30 points
     5 Computer Labs            6 points each
     5 Homework Assignments     6 points each
     Final Exam                80 points
    ------------------------------------------
                              200 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.

Quiz and Exam Schedule

There will be five computer labs, two midterm exams and a final exam. In person attendance is mandatory for all exams.

Course Policies

Communications Policy

Lectures and classroom activities will held in person and live streamed through 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 if you are unable to make it to class. If you wish to set up an appointment for office hours please send me a message through WebCampus. I am available to meet in my office or through Zoom.

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.

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.

Diversity

This course is designed to comply with the UNR Core Objective 10 requirement on diversity and equity. More information about the core curriculum may be found in the UNR Catalog here.

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 University of Nevada Department of Mathematics and Statistics 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, midterm or exam 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 Tuesday, May 16 from 7:30-9:30am in DSMC106.
Last Updated: Sat Jan 21 02:28:21 PM PST 2023