ADVANCED BOUNDARY VALUE PROBLEMS I (MATH 300 - A1)

Fall Term 2014

Instructor: Professor Hao Wang, Department of Mathematical & Statistical Sciences, CAB 539,

Phone: 780-492-5764, Email: hao8@ualberta.ca

LECTURE TIME & LOCATION: 1:00-1:50pm on Monday, Wednesday & Friday in TL B 1.

OFFICE HOURS: 2:00-3:00pm on Monday, Wednesday; 4:00-5:00pm on Friday (or else by appointment).

TEXTBOOK: Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (5th Edition) by Richard Haberman.

SECTION URL: http://www.math.ualberta.ca/~hwang/Math300Fall2014

EXAMINATION POLICY: The midterm exam will be in class on Monday October 20th. If a student has an acceptable excuse for missing the midterm exam, the weight of the midterm exam will be transferred to the final exam. There will be no deferred midterm exam.

The final exam will be in Pavilion Rows 23, 25, 27 at 2:00-4:00pm on Monday December 15th. For those eligible, the deferred final exam is arranged through the Faculty of Engineering. The deferred final exam will be written on Saturday January 10th 2015 from 9:00am. Please go to CAB 357 to register for your exam at 8:30am. Warning: It is your responsibility to confirm all the details associated with the time and location of the deferred final exam. I play no role in determining any aspect of these particular details. It is official University policy that failure to know where and when a deferred exam is to be held is not an acceptable excuse for missing it (i.e., a non-appealable final-exam grade of zero will be assigned).

THE USE OF CALCULATORS & COMPUTERS IS NOT PERMITTED IN THE EXAMS. In the midterm exam, please use pens or ballpens to write your solutions and box your final answers if you want to argue the grading after I send it back to you. You can use pencils, then you cannot argue after I grade.

COURSE DESCRIPTION: The principal purpose of this course is to provide an introduction to linear partial differential equations (PDEs) and their solutions including Fourier Series and Transforms. The course covers most of the material from the first 5 chapters and parts of chapters 7, 8, 10 and 12 in the textbook.

HOMEWORK ASSIGNMENTS: The assignment problems will be posted in class and on my MATH 300 website. The completed assignments must be placed in the "assignment box" on the 3rd floor in CAB with my name on it by 2pm on the due date. Late assignments will not be marked and a grade of zero will be assigned. While I mark the Exams and assign your final grade, I do not mark the Assignments. These are done by a teaching assistant. However, should you have any issue to discuss about the assignments, please come to see me.

GRADING: Assignments (25%), Midterm (25%) and Final Examination (50%).

An overall course mark of 60% or more guarantees a passing grade of at least D. An overall course mark of 90% or more guarantees a grade of at least A.

 

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.governance.ualberta.ca) 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.  Any offence will be reported to the Associate Dean of Science who will determine the disciplinary action to be taken. Cheating, plagiarism and misrepresentation of facts are serious offences.  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.  As well, in the Faculty of Science the sanction for cheating on any examination will include a disciplinary failing grade (NO EXCEPTIONS) and senior students should expect a period of suspension or expulsion from the University of Alberta.

 Tentative Lecture Schedule

 

 

 

 

 

 

 

 

 

 

Announcements

Sample Midterm Exam and Solution

 

Assignments

Assignment #1: 1.4.1; 12.2.2, 12.2.5; 12.3.4, 12.3.5; 12.6.7 ((d) is excluded), 12.6.8, 12.6.9 ((d) is excluded). (Due: September 18, Thursday) Solutions

Assignment #2: 2.3.2(a)-(e), 2.3.3 ((e) is excluded); 2.4.1;

2.5.1(a),

2.5.7(a) [with f(θ) = θ(π/3 - θ)],

2.5.8(a) [with f(θ) = sin(θ) and g(θ) = 2sin(θ)cos(θ)];

3.2.1(b), 3.2.2(a)&(d);

3.3.1(c)&(d), 3.3.2(a)&(c), 3.3.5(c), 3.3.10.

(Due: October 9, Thursday) Solutions  (  in the solution of Ex 2.5.7(a) is  or n in textbook or my notes;

The integration for An in Ex 2.4.1(c) can be easily calculated using a trigonometric identity

sin(u)cos(v)=[sin(u+v)+sin(u-v)]/2 )

Assignment #3: 4.4.3(b); 5.3.5, 5.3.6, 5.3.7; 5.4.1, 5.4.2(b); 5.8.1.

(Due: November 6, Thursday) Solutions  (the solution of Ex 5.4.2 is for Ex 5.4.2(b))

Assignment #4: 7.3.1(a), 7.3.4(a); Derive formulas for Amn, Bmn, Cmn, Dmn in Section 7.7 of my notes; Derive formulas for Emn, Fmn in Section 7.9 of my notes; 8.2.1(a)(b)(f), 8.2.2(a)

(Due: November 25, Tuesday) Solutions

Assignment #5: 8.3.1(a), 8.3.6, 8.3.7; 8.4.1(b); 10.3.1, 10.3.2, 10.3.5, 10.3.6, 10.3.7; 10.4.10

(Due: December 5, Friday) Solutions