INSTRUCTOR:
Dr. Angelo B. Mingarelli,
Herzberg Physics Office #4250
Tel/Fax: (613) 520 3534
Electronic mail : angelo@math.carleton.ca
Photograph
: Just in case you don't want to come to class...
Office Hours: Wednesdays, after class for at least one hour.
TEXTBOOK(S): Compulsory:
Differential Equations Schaum's Outline Series, McGrawHill, (2nd Edition)
+ additional material in the form of notes along with the following ...
Textbook References (in no specific
order):
1. E. L. Ince Ordinary Differential Equations,
Dover, New York, 1956.
2. M. Braun, Differential Equations and Their
Applications, 2nd Edition, Springer Verlag, New York, 1978
3. G. M. Murphy, Ordinary Differential Equations
and Their Solutions, Van Nostrand, New York, 1960
4. D. L. Kreider, R.G. Kuller and D. R. Ostberg,
Elementary Differential Equations, AddisonWesley, ReadingMass., 1968.
5. W. Leighton, A First Course in Ordinary Differential
Equations, 5th Edition, Wadsworth Publishing, 1981.
6. Burkhill, Ordinary Differential Equations,
1930's (tiny book)
7. Edwards and Penny, Differential Equations
and Boundary Value Problems, Prentice Hall, NY, 1996
8. Boyce and DiPrima, Elementary Differential
Equations (Any edition), John Wiley & Sons.
Optional: In case you forgot your Methods of Integration, or
Inverse functions, see my Calculus book currently used in 69.104 (also
available in the Bookstore $59.95 + GST).
PREREQUISITES:
The prerequisites for this course are:
Math 2000, 2454 or 2600
Students who have not passed the prerequisite courses may be automatically
deregistered during the term Do get advice from the instructor or from
the Mathematics Undergraduate Advisor Ken Small, in 4380 Herzberg Building.
EVALUATION
Your grade will be calculated either as:
(i) Term Mark 40%;
(ii) Final Examination 60%
OR,
(iii) Final Examination 100%, whichever is better.
In any event, your final course grade is the larger of the two numbers:
A and B where A=(i)+(ii) and B=(iii).
The term mark (40%) will be derived from:
CALCULATORS
You may use any nonprogrammable calculator for the examinations
and tests in this course, although it is not necessary.
The Sharp 531L is available at the Bookstore for around $19.95
+ Tax.
WITHDRAWAL
If you decide to leave the course before the end of term, it is much
better, in terms of your academic career, to formally withdraw from the
course than to simply ignore it and get an F.
CLASSES BEGIN:
Monday, January 5, 2004
Mondays, 516 Southam Hall, 2:30 p.m.
Wednesdays, 515 Southam Hall, 2:30 p.m.
All tutorials are held on Fridays and will begin January 16 . Your TA is Mr. Bevan Ferreira. He can be reached at bcferrei@math.carleton.ca; bcferrei@yahoo.ca; or bcferrei@hotmail.com (I think). His office is Room 230 in Azrieli Pavillion and his office telephone number is: 5202600 Ext 1889.
WINTER BREAK: February 1620  classes suspended.
CLASSES END: April 2
Please note that the mathematics TUTORIAL CENTRE , in Herzberg Physics Building, Room 4385, will be opening around Jan. 15th, 2002
Hours for the Centre:
Monday to Thursday: 10 am to 4pm
Evening hours to be announced.
Tutors advertise frequently on the Notice Boards
around the Centre.
WEEK  DATES  TESTS  SECTIONS  TOPICS 
1  Jan. 57  None  Existence and uniqueness of solutions of second order ode's (1.5 hours)  
2  Jan.1214  None  Analytic ode's: Series solutions of differential equations about an ordinary point (4.5 hours)  
3  Jan. 1921  None  Series solutions of differential equations about a regular singular point (Frobenius method)  
4  Jan. 2628  TEST 1, Jan.
Tutorial room 
Orindary Points
Chapter 23 Homework # 28, 32, 34, 39, 42, 45, 49 
Series solutions of differential equations about a regular singular point (cont'd) 
5  Feb 24  None  Homework:
Chapter 24 # 26, 28, 29, 30 
Series solutions of differential equations about a regular singular point : Bessel functions and the Gamma function 
6  Feb.911  TEST 2
Feb. 13 Tutorial Room 
Singular Points
Chapter 24 
SturmLiouville Theory and Asymptotics of solutions (3 hours) 
7  Feb. 1620  TERM BREAK  
8  Feb 2325  None  SturmLiouville Theory and Eigenfunction expansions  
9  Mar.13  TEST 3
Mar. 5 Tutorial Room 
Fourier Series  
10  Mar. 810  None  Fourier Series (and Transforms)  
11  Mar.1517  TEST 4
Mar. 19 Tutorial Room 
Fourier
SeriesMotivation
Fourier
Series Notes


12  Mar.2324.  None  Applications and more on special functions...
More on Fourier Series and Transforms  The Heisenberg Uncertainty Principle (if time permits) 

13  Mar. 2931  None  Review 
HTML
3.2 Checked!
