Advanced Boundary Value Problems

Fall 2007

MWF 1300 -1350

CME 345

Dr. Thomas Hillen

Professor

phone: 492-3395

e-mail: thillen@ualberta.ca

University of Alberta

Department of Mathematical and Statistical Sciences

Problem Sets:

• Problem set #1, Solutions1(corrected)

• Problem set #2: Solutions 2

• Problem Set #3: Solutions 3

• Problem set #4:  Solutions 4    

• Damped Wave Equation

• Problem set #5    Solutions 5 

• Problem set #6:    Solutions 6

• Formula Sheet


• Practice Problems    Solutions

in class, Wednesday October 3, 2007 . . 20%

in class, Wednesday November 7, 2007,  . . 30%

New Room: HC (Humanities Centre) L1, 1:00-1:50

Midterm solutions

2:00 - 4:00 Monday December 17, 2007 . . 50%

Course Notes: 
All slides and course notes will be made available here as the course progresses 

Note: I will do chapter 3 earlier. Chapter 3 starts with Sep2407.pdf

Link to Math 300 form 2005  

Link to Math 300 from 2006

• (2.3) Example 1
• (2.4) Example 2
• (3.2) Fourier series
  Example1, Example2, Example3
  
• (4.4) Example 1
• (7.7) See the oscillating membrane on Dan Russell's homepage: http://www.kettering.edu/~drussell/Demos.html
  

Course Outline:

Lecture A1: M W F 1:00 - 1:50 CME 345

Instructor: Thomas Hillen, 575 CAB

telephone: 492-3395

e-mail: thillen@ualberta.ca

web: http://www.math.ualberta.ca/~thillen/fall07/math300.html

oce hours: T R 4:00 - 5:00, or by appointment

Lecture A2: M W F 1:00 - 1:50 room will be changed from MEC 4 - 3 to TBA

Instructor: Ed Leonard, 679 CAB

telephone: 492-2388

e-mail: isaac@math.ualberta.ca

web: http://www.math.ualberta.ca/~isaac/

oce hours: M W F 3:00 - 4:00 in CAB 679, or by appointment

Learn about the three most important classes of partial differential equations of applied mathematics,

that is, the heat equation, the wave equation, and Laplace's equation. Apply elementary solution techniques and be able to interpret the results.

I reserve the right to make minor adjustments to the above distribution in order to obtain an overall fair grading.

Quiz: 20 minute written quiz. No calculators or course materials are allowed.

Midterm Exam: 50 minute written examination. No calculators or course materials are allowed.

Final Exam: 2 hour written examination. No calculators or course materials are allowed.

A student who cannot write the quiz or the midterm examination because of an incapacitating illness,

severe domestic affliction or other compelling reasons can apply for deferral of the weight of the missed

quiz or examination to the final examination.

Applications for deferral of term work worth less than or equal to 20% of the final grade must be made

in writing to the instructor, with supporting documentation, within 48 hours of the missed quiz or

instructor within 48 hours of the missed quiz or examination and must be supported by a completed

University of Alberta Medical Statement Form or other appropriate documentation (Calendar section

23.5.6).

Deferral of term work is a privilege and not a right; there is no guarantee that a deferral will be granted.

Misrepresentation of facts to gain a deferral is a serious breach of the Code of Student Behaviour.

A student who cannot write the final examination because of an incapacitating illness, severe domestic

affliction or other compelling reasons can apply for a deferred final examination.

Such an application must be made to the student's Faculty Office within 48 hours of the missed

examination and must be supported by a completed University of Alberta Medical Statement or other

appropriate documentation (Calendar section 23.5.6).

Deferred examinations are a privilege and not a right; there is no guarantee that a deferred examination

will be granted. Misrepresentation of facts to gain a deferral is a serious breach of the Code of Student

Behaviour.

A student who writes the final examination and fails the course may apply for a reexamination. It

should be noted that reexaminations are rarely granted in the Faculty of Science. These exams are

governed by University (Calendar section 23.5.5) and Faculty of Science Regulations (Calendar Section

182.5.9). Misrepresentation of facts to gain a reexamination is a serious breach of the Code of Student

Behaviour.

The University of Alberta is committed to the highest standards of academic integrity and

honesty. Students are expected to be familiar with these standards regarding academic honesty

and to uphold the policies of the University in this respect. Students are particularly

urged to familiarize themselves with the provisions of the Code of Student Behavior (online at

Cell Phones: Cell phones are to be turned o
during lectures, labs, and seminars. Cell phones are

Instructor:             Thomas Hillen (Professor)

Office:             CAB 575

Phone:             492-3395

E-mail:            thillen@ualberta.ca 

Web Page:            www.math.ualberta.ca/~thillen/fall06/math300.html

Office Hours:  Wed 4-5, Thu 4-5 or by appointment.
 If these office hours are inconvenient for the majority of this class, I will announce other times.

Lecture Room & Time:             CME 345, MWF 13:00-13:50

Course Objectives:            Learn about the three most important classes of partial differential equations, i.e. the heat equation, the wave equation, and the Laplace equation. Apply elementary solution techniques and be able to interpret the results.

Course Description:            Derivation of the classical partial differential equations of applied mathematics, solutions using separation of variables. Fourier expansions and their applications to boundary value problems. Introduction to Fourier Transform. Emphasis on building an appropriate mathematical model from a physical problem, solving the mathematical problem, and carefully interpreting the mathematical results in the context of the original physical problem

Course Prerequisites.  MATH 201 and 209 or equivalents. Notes: (1) Open only to students in Engineering, Specialization Computing Science, Specialization Physics, and Specialization Geophysics. (2) This course may not be taken for credit if credit has already been obtained in MATH 337.

It is important to prepare yourself for this course through a review of the prerequisite material.  Students who do not have the required prerequisites at the time of taking this course should not expect supplementary professorial tutoring.

Required Textbook:            R, Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, Pearson Education, New Jersey, Fourth edition 2004.

Recommended or Optional Learning Resources:            Webpage: www.math.ualberta.ca/~thillen/fall06/math300.html

Grading: There are 5 assignments with a total weight of 25%. Each assignment is due on a Friday at 12:00 noon. Late assignments will not be accepted. I will not wave an assignment at the end of term. If you miss a due date, please plan ahead and submit your assignment earlier.

* ‘WARNING:  Students must verify this date on BearTracks when the Final Exam Schedule is posted’

 Tentative Lecture Schedule and Assignment Due Dates:

 Grade Evaluation:            Grading is done according to the University of Alberta Marking and Grading Guidelines (http://www.registrar.ualberta.ca/calendar/Regulations-and-Information/Academic-Regulation/23.4.html#23.4)

I reserve the right to make minor adjustments to the above distribution in order to obtain an overall fair grading.

FYI: The last day to withdraw from the course is (Fall = Nov 10) and  (Winter = Mar 16).  If you are uncertain about your performance, please come and talk to me.

Format of Exams:  Midterm: 50 minutes written exam. No calculators or course material is allowed. Final exam: 2 h written exam. No calculators or course material is allowed.

Missed Term Exams and Assignments:  A student who cannot write the midterm exam or complete a term assignment because of an incapacitating illness, severe domestic affliction or other compelling reasons can apply for  deferral of the midterm weight  to the final exam, or deferral of the missed assignment weight to the other assignments. Applications for deferral of term work worth less than 20% of the final grade can be made in writing to the professor with supporting documentation, within 48 h of the missed exam or assignment due date.  Applications for a deferral of term work worth greater than 20% of the final grade must be made to the professor within 48 h of the missed exam or assignment due date and must be supported by a completed University of Alberta Medical Statement Form or other appropriate documentation (Calendar section 23.4[3]).  Deferred of term work is a priveledge and not a right; there is no guarantee that a deferral will be granted.  Misrepresentation of Facts to gain a deferral is a serious breach of the Code of Student Behaviour

Deferred Final Examination: A student who cannot write the final examination because of an incapacitating illness or is suffering from severe domestic affliction or other compelling reasons can apply for a deferred final examination.  Such an application must be made to the student’s Faculty office within 48 hours of the missed examination and must be supported by a completed University of Alberta Medical Statement Form or other appropriate documentation (Calendar section 23.5.6).  Deferred examinations are a priveledge and not a right; there is no guarantee that a deferred examination will be granted.  Misrepresentation of Facts to gain a deferred examination is a serious breach of the Code of Student Behaviour. The deferred final exam is scheduled for Jan 13, 07 at 9:00,  location TBA.  

Reexamination:  A student who writes the final examination and fails the course may apply for a reexamination.  Reexaminations are rarely granted in the Faculty of Science.  These exams are governed by University (Calendar section 23.5.5) and Faculty of Science Regulations (Calendar section 182.5.9). Misrepresentation of Facts to gain a reexamination is a serious breach of the Code of Student Behaviour.

Student Responsibilities:

Academic Integrity: ‘The University of Alberta is committed to the highest standards of academic integrity and honesty.  Students are expected to be familiar with these standards regarding academic honesty and to uphold the policies of the University in this respect.  Students are particularly urged to familiarize themselves with the provisions of the Code of Student Behaviour (online at www.ualberta.ca/secretariat/appeals.htm) and avoid any behaviour which could potentially result in suspicions of cheating, plagiarism, misrepresentation of facts and/or participation in an offence.  Academic dishonesty is a serious offence and can result in suspension or expulsion from the University.’

All forms of dishonesty are unacceptable at the University.  Cheating, plagiarism and misrepresentation of facts are serious offenses.  Anyone who engages in these practices will receive at minimum a grade of zero for the exam or paper in question and no opportunity will be given to replace the grade or redistribute the weights.  Any offense will be reported to the Senior Associate Dean of Science who will determine the disciplinary action to be taken. 

Exams:  Your student photo I.D. is required at exams to verify your identity.  Students will not be allowed to begin an examination after it has been in progress for 30 minutes.  Students must remain in the exam room for at least 30 minutes from the time the exam commenced. Electronic equipment is not to be brought to exam.

Cell Phones: Cell phones are to be turned off during lectures, labs and seminars.  Cell phones are not to be brought to exams.

Students with disabilities:  Students who require accommodation in this course due to a disability are advised to discuss their needs with Specialized Support & Disability Services (2-800 Students’ Union Building). 

Academic Support Centre:  Students who require additional help in developing strategies for better time management, study skills or examination skills should contact the Academic Support Centre (2-703 Students’ Union Building).  Additional tutorial services are available through the Math & Applied Sciences Centre www.uofaweb.ualberta.ca/MASC/

Policy about course outlines can be found in section 23.4(2) of the University Calendar. 

Disclaimer: Any typographical errors in this Course Outline are subject to change and will be announced in class.  The date of the final examination is set by the Registrar and takes precedence over the final examination date reported in this syllabus.