Math
300 A1
Advanced Boundary Value Problems Fall 2007 MWF 1300 1350 CME 345 
Dr. Thomas Hillen Professor phone: 4923395 email: thillen@ualberta.ca University of Alberta Department of Mathematical and Statistical Sciences 

Problem Sets: 
Quiz:
in class, Wednesday October 3, 2007 . . 20% 

Midterm:
in class, Wednesday November 7, 2007, . . 30% New Room: HC (Humanities Centre) L1, 1:001:50 

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


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

Examples in Maple:


Course Outline:Lecture A1: M W F 1:00  1:50 CME 345 Instructor: Thomas Hillen, 575 CAB telephone: 4923395 email: thillen@ualberta.ca web: http://www.math.ualberta.ca/~thillen/fall07/math300.html (class notes, handouts, solutions, etc. will be available here) 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: 4922388 email: isaac@math.ualberta.ca web: http://www.math.ualberta.ca/~isaac/ (class notes, handouts, solutions, etc. will be available here) oce hours: M W F 3:00  4:00 in CAB 679, or by appointment Course Objectives: 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. Course Description: Derivation of the classical partial differential equations of applied mathematics, solutions using separation of variables. Fourier expansions and their application to boundary value problems. Introduction to the 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. Required Textbook: Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 4th Edition by Richard Haberman Assignments: There will be between 7 and 8 problem sets given during the term. Each problem set will consist of 10 problems taken from the text. Sections A1 and A2 have the same problem sets. Problem sets will not be collected for marking. Solutions to the problem sets will be posted on the course webpages. The quiz problems and examination problems will be similar to problems from these problem sets. Grading Scheme: Quiz . . . . . . . . . . . . . . . (in class, Wednesday October 3, 2007) . . 20% Midterm Exam . . . (in class, Wednesday November 7, 2007) . . 30% Final Exam . . . . . . (2:00  4:00 Monday December 17, 2007) . . 50% Grade Evaluation: Grading is done according to the University of Alberta Marking and Grading Guidelines: http://www.registrar.ualberta.ca/calendar/RegulationsandInformation/AcademicRegulation/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.
Withdrawal Date: The last day for withdrawal from Fall Term courses course is November 9, 2007. If you are unsure of your performance in this course, please go and talk to your instructor. Format of Examinations: 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. Missed Term Examinations: 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 examination date. Applications for a deferral of term work greater than 20% of the final grade must be made to the 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. Deferred Final Examination: 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. The deferred final examination for this course will be held on Saturday, January 12 2008, from 9:00 until 12:00, in CAB 243. Reexamination: 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.
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 Behavior (online at http://www.ualberta.ca/secretariat/appeals.htm) and avoid any behavior which could potentially result in suspicion of cheating, plagiarism, misrepresentation of facts and/or participation in an o the University. All forms of dishonesty are unacceptable at the University. Cheating, plagiarism, and misrepresentation of facts are
serious o a grade of zero for the examination or paper in question and no opportunity will be given to replace the grade or
redistribute the weights. Any o Dean of Science, who will determine the disciplinary action to be taken. Examinations: You student photo I.D. is required at examinations 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 examination room for at least 30 minutes from the time the examination commenced. Electronic equipment is not to be brought to the examination. Cell Phones: Cell
phones are to be turned o not to be brought to examinations. Students with Disabilities: Students who require accommodation in this course due to a disability are advised to discuss their needs with Specialized Support and Disability Services (2800 Student 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 (2703 Student Union Building). Additional tutorial services are available through the Mathematics and Applied Sciences Centre http://www.uofaweb.ualberta.ca/MASC/
Instructor:
Thomas Hillen (Professor) Office:
CAB
575 Phone:
4923395 Email:
thillen@ualberta.ca
Web Page:
www.math.ualberta.ca/~thillen/fall06/math300.html Office Hours:
Wed 45, Thu 45 or by appointment. Lecture Room &
Time:
CME 345, MWF 13:0013:50
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/RegulationsandInformation/AcademicRegulation/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 (2800 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 (2703 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.


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