Differential Equations and Infinite Series for Engineering Students

Mathematics 69.105, Section A, Winter, 2000.

Updated January 18, 2000

Website URL: http://www.carleton.ca/~angelo/calculus/cal105.html

Detailed Class Outline

These pages are best viewed with Netscape 2.0 or higher, and not from a Chat prompt.

Students with disabilities
You will be assigned a special room in Herzberg Building for test-writing purposes. Please refer to this web site for details.

Detailed class schedule

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: Fridays, 09:30 - 11:30 a.m.

TEXTBOOK(S): Calculus of Several Variables, Fourth Edition, by Robert A. Adams, Addison Wesley Publishers, 1999-2000.

TOPICS COVERED:Basic concepts (Section 9.1)
Separable equations, first-order homogeneous equations (Section 9.2)
First-order linear equations (Section 9.4)
Functions of two variables, partial derivatives, the chain rule (Sections 3.1, 3.3, 3.5)
Exact equations, integrating factors (Section 9.3)
Second-order equations reducible to the first order, reduction of order, linear equations (Section 9.6)
Second-order linear equations with constant coefficients, Cauchy-Euler equations (Section 9.7)
Nonhomogeneous linear equations, undetermined coefficients, variation of parameters (Section 9.8)

Infinite Series
Sequences (Section 8.1)
Series (Section 8.2)
The integral test and estimates of sums (Section 8.3)
The comparison tests (Section 8.3)
Alternating series, absolute and conditional convergence (Section 8.4)
The ratio test, the root test (Section 8.3)
Power series (Section 8.5)
Representation of functions as power series, Taylor and MacLaurin series (Section 8.6)
Applications of Taylor series, Taylor polynomials (Sections 8.7, 8.8)
The binomial series (Section 8.9)
Series solutions of differential equations (Section 9.9)

PREREQUISITES:
The prerequisites for this course are:
Math 69.104, or 69.107 with a grade of C- or better. Students who have not passed the prerequisite course may be automatically de-registered during the term. Those that have done poorly in the prerequisites are strongly urged to take 69.104 or 69.107 before attempting 69.105. Do get advice from the instructor orfrom 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).

TERM MARK:
The term mark will be derived from: 4 term tests (40/40): best 3 chosen

Note:The "best x of y" rules allow you to miss some of the term events for any reason (medical or otherwise).
Only under highly exceptional circumstances will a test be postponed to a later date.

SUPPLEMENTAL EXAMINATION
No Supplemental examinations

 
CALCULATORS
You may use a non-programmable calculator for the examinations and tests in this course:
Sharp 531-L, available at the Bookstore for $19.95 + Tax
 

WITHDRAWAL
The last date for withdrawal from the course is ...? . 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:

Wednesday, January 5, 2000
 

LECTURE SCHEDULE:

Mondays, Minto Case Auditorium, 10:30 a.m.
Wednesdays, Minto Case Auditorium, 09:30 a.m.
Fridays, Minto Case Auditorium, 08:30 a.m

TUTORIALS:

All tutorials are held on Tuesdays at 10:30 a.m. and will begin on Jan. 18th in various locations depending on your section and the first letter of your family name (surname, cognome(n)):

• Tutorial 1: ... Liu ............., Ej - His .............. Room 505, Southam Building
• Tutorial 2: ... Ji ................, Ho- Lut ............... Room 404, Southam Building
• Tutorial 3: ... Idris............, Ly - Sch ............... Room 312 Steacie Chemistry Building
• Tutorial 4: ... Du.............., Se - Z ................... Room 311 Steacie Chemistry Building
• Tutorial 5: ... Thomas......, A - Bour .............. Room B149 Loeb Building
• Tutorial 6: ... Almasri......, Bov - Ei .............. Room 516, Southam Building

During the tutorial sessions, a TA will be present to work out selected problems, to answer questions and to administer the tests.

FAQ on Tutorials

Where do I go? This depends on your section letter and/or on the first letter of your family name; see the preceding paragraph for details about which room you'll go to.

Do I HAVE to go? Well, if you want to have some term work to count on your behalf, then, YES, do go. If all you want to do is write the final exam, then that's OK, too; see the EVALUATION item above.

Who is my T.A.? Go the required class and ask him/her

WINTER BREAK: Feb. 21-25, 2000

TUTORIAL CENTRE:

Please note that the mathematics TUTORIAL CENTRE, in Herzberg Physics Building, Room 4385, will be opening around Jan. 12th., 2000
Tutors advertise frequently on the Notice Boards around the Centre.
Hours for the center are as follows:
MONDAYS TO THURSDAYS: 10 AM TO 4 PM
FRIDAYS: CLOSED

Detailed Class Outline

Winter, 1998

Using CHAT:

For information about CHAT accounts, click here
To access the Internet from CAMPUS click here
To access the Internet from RESIDENCE click here
To access the Internet from ANOTHER INTERNET SITE click here

Some Undergraduate Computer Labs

The following locations have PC's which, upon login with theword "student" will give you access to Netscape in its manyversions...
Herzberg 3393, ....Our Math. Lab: Only 5 PC 486's carry thisoption (those nearest the hall window)
Herzberg 4115, 4125, 4155, 4175.....Computer Science Labs.

More Undergraduate Computer Labs

Please be brief in order to leave others the chance to accessthese machines.

websurfers served since Winter, 2000.