Partial Differential Equations

MATH 480 - Fall 2020

Section MATH 480-10: Engineering Outreach 


Instructor:

Lyudmyla Barannyk
317 Brink Hall
tel:  (208) 885-6719
fax: (208) 885-5843
barannyk@uidaho.edu

   Software

 Lecture Notes
Exam Proctoring

Course Description

This course is devoted to the use of Fourier series and other orthogonal expansions in the solution of initial-value and boundary-value problems for second-order linear partial differential equations. Emphasis is on concepts and calculation.

Classical representation and convergence theorems for Fourier series; method of separation of variables for the solution of the one-dimensional heat and wave equation; the heat and wave equations in higher dimensions; eigenfunction expansions; spherical and cylindrical Bessel functions; Legendre polynomials; methods for evaluating asymptotic integrals (Laplace's method, steepest descent); Laplace's equation and harmonic functions, including the maximum principle. As time permits, additional topics will be selected from: Fourier and Laplace transforms; applications to linear input-output systems, analysis of data smoothing and filtering, signal processing, time-series analysis, and spectral analysis; dispersive wave equations; the method of stationary phase; the method of characteristics.

Textbook

R. Haberman. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th Ed. Pearson Prentice Hall.

Syllabus

Download syllabus: .pdf

Homework

Follow links in the table below to obtain a copy of the homework in Adobe Acrobat (PDF) format.


Homework # 1

Introduction to plotting with Matlab
 due September 4
Homework # 2 due September 23
Homework # 3 due October 12
Homework # 4 due October 30
Homework # 5 due November 18
Homework # 6 due December 11
 


Engineering Outreach students should submit their homework assignments by email barannyk@uidaho.edu  by the end of the due day. There is 3 business day grace period. Late homework after the grace period will not be accepted.

Software

In this course, an introduction to Matlab will be made, a technical computing environment for numerical computation and visualization produced by The MathWorks, Inc.  We will study basic commands, how to visualize functions and symbolic computation.

Matlab software is installed in all Student Computing Labs on UI campus. Matlab is also available through VLAB. Students are encouraged to contact IT help desk  if help is needed to find where to store files and how to access Matlab as soon as possible. Some Matlab tutorials and solved sample problems are available below.

ITS HELP DESK

Phone: 208-885-4357 (HELP)
Email: helpdesk@uidaho.edu 

Physical Address: Teaching Learning Center Room 128

IT help desk website: http://www.uidaho.edu/its/

A Matlab manual is available here: .pdf

Also available is a MATLAB tutorial written by Peter Blossey and James A. Rossmanith
Tutorial Introduction to plotting with Matlab
Here is another link to Plotting with Matlab by Gerald Recktenwald, Portland State University

Another standard one is Kermit Sigmon's Matlab Primer: .html

Here are other Matlab resources available on the net:
Handouts:

        Notes in Matlab that includes commands about 3d plotting
        Symbolic operations using Matlab by W.R. Wilcox, Clarkson University
       
 
In addition, there are many textbooks about Matlab. One of them is

MATLAB guide
By: Desmond J. Higham & Nicholas J. Higham. QA297 .H5217 2000



Video lectures are available through Engineering Outreach at https://eo.uidaho.edu/portal.

Lectures Notes 2019

Lecture 1 - 01/09/2019            Lecture 11 - 02/04/2019             Lecture 21 - 03/01/2019              Lecture 31 - 04/03/2019                Lecture 41 - 04/26/2019     
Lecture 2 - 01/11/2019            Lecture 12 - 02/06/2019             Lecture 22 - 03/04/2019              Lecture 32 - 04/05/2019                Lecture 42 - 04/29/2019
Lecture 3 - 01/14/2019            Lecture 13 - 02/08/2019             Lecture 23 - 03/06/2019              Lecture 33 - 04/08/2019                Lecture 43 - 05/01/2019
Lecture 4 - 01/16/2019            Lecture 14 - 02/11/2019             Lecture 24 - 03/08/2019              Lecture 34 - 04/10/2019                Lecture 44 - 05/03/2019
Lecture 5 - 01/18/2019            Lecture 15 - 02/13/2019             Lecture 25 - 03/18/2019              Lecture 35 - 04/12/2019
Lecture 6 - 01/23/2019            Lecture 16 - 02/15/2019             Lecture 26 - 03/20/2019              Lecture 36 - 04/15/2019
Lecture 7 - 01/25/2019            Lecture 17 - 02/20/2019             Lecture 27 - 03/25/2019              Lecture 37 - 04/17/2019
Lecture 8 - 01/28/2019            Lecture 18 - 02/22/2019             Lecture 28 - 03/27/2019              Lecture 38 - 04/19/2019
Lecture 9 - 01/30/2019            Lecture 19 - 02/25/2019             Lecture 29 - 03/29/2019              Lecture 39 - 04/22/2019
Lecture 10 - 02/01/2019          Lecture 20 - 02/27/2019             Lecture 30 - 04/01/2019              Lecture 40 - 04/24/2019

Lectures Notes 2017

Lecture 1 - 01/11/2017            Lecture 11 - 02/06/2017            Lecture 21 - 03/03/2017                             Lecture 31 - 04/03/2017            Lecture 41 - 04/26/2017
Lecture 2 - 01/13/2017            Lecture 12 - 02/08/2017            Lecture 22 - 03/06/2017                             Lecture 32 - 04/05/2017            Lecture 42 - 04/28/2017
Lecture 3 - 01/20/2017            Lecture 13 - 02/10/2017            Lecture 23 - 03/08/2017                             Lecture 33 - 04/07/2017            Lecture 43 - 05/01/2017
Lecture 4 - 01/23/2017            Lecture 14 - 02/13/2017            Lecture 24 - 03/10/2017                             Lecture 34 - 04/10/2017            Lecture 44 - 05/03/2017
Lecture 5 - 01/25/2017            Lecture 15 - 02/15/2017            Lecture 25 - 03/20/2017                             Lecture 35 - 04/12/2017            Lecture 45 - 05/05/2017
Lecture 6 - 01/26/2017            Lecture 16 - 02/17/2017            Lecture 26 - 03/21/2017 midterm review   Lecture 36 - 04/14/2017
Lecture 7 - 01/27/2017            Lecture 17 - 02/22/2017            Lecture 27 - 03/22/2017                              Lecture 37 - 04/17/2017
Lecture 8 - 01/30/2017            Lecture 18 - 02/24/2017            Lecture 28 - 03/27/2017                              Lecture 38 - 04/19/2017
Lecture 9 - 02/01/2017            Lecture 19 - 02/27/2017            Lecture 29 - 03/29/2017                              Lecture 39 - 04/21/2017
Lecture 10 - 02/03/2017          Lecture 20 - 03/01/2017            Lecture 30 - 03/31/2017                              Lecture 40 - 04/24/2017

Handouts

Rectangular membrane example:

membrane.m

memb1.jpg

memb2.jpg

memb3.jpg

memb4.jpg

memb5.jpg

memb6.jpg

Exams

There will be two midterm exams and a final.

Midterm 1:  October 2, 2020 - covers Chapters 1 and 2 (heat equation, method of separation of variables) with an exception of the very last subsection 2.5.4 on qualitative properties of Laplace's equation.

Midterm 2: November 6, 2020 - covers Section 2.5.4, Chapters 3 and 4 (Fourier Series including convergence of Fourier series, term-by-term differentiation and integration, graphing Fourier series, even and odd extensions, even and odd parts of a function, wave equation, standing waves, traveling waves).

              Midterm Review notes     (do not include wave equation material)

Final Exam: due by Thursday, December 17. The final exam is comprehensive and covers material from Chapters 1-5, 7 and 8, which was covered in class.     

Grading

Midterm Exam 1:     15%
Midterm Exam 2:     20%
Final Exam:              25%
Homework:               40%

Midsemester Questionnaire


Exam Proctoring

Please visit the proctor/exam information page on the website. https://eo.uidaho.edu/proctor

 

Students living outside of the United States will be required to use approved testing centers as their proctors. A testing center is a university, business, or military department with the primary purpose of proctoring tests and exams under direct observation. Students are required to provide a name of a person who will be the primary contact at the testing center. EO reserves the right to require students to take exams at specific pre-approved testing centers in locations outside of the United States.

 

You can view our proctor approved map to see if there is an approved testing center at the location you will be this summer.https://eo.uidaho.edu/map-international-proctors

 

If you know of a University Testing Center in the area you will be visiting that is not on our map you can submit that proctor to our office and we can begin the approval process before the semester starts: https://eo.uidaho.edu/proctorform

 

If you have any further questions please contact theg office at eo-support@uidaho.edu.