Differential Equations and Infinite Series for Engineering Students

Mathematics 69.105, Section D, Winter, 1998.

Final Grades for this course ...
A - Sn, (90 KB)
So - Z, (25 KB)

Detailed Class Outline

Using CHAT	Who's the Prof?	Do I know enough?	What must I know?
Classes Begin	Where are the lectures?	Textbook(s)	Can I use a Calculator?
Will I pass?	When's the Supplemental Exam?	I wanna drop this!	Prof's Office Hours
Tutorials	FAQ on Tutorials	Where's a tutor?	When's the next Holiday?

Week 1	No Tutorials	Homework	Notes for week 1
Week 2	Tutorial 1	Homework	Notes for week 2
Week 3	Tutorial 2	Homework	Notes for week 3

Students with disabilities
Please go to Herzberg Room 4325, Wednesday, February 18, at 3:30 p.m.
for Test-writing purposes.

Week 4	Test this week!	Homework	Notes for week 4
Week 5	Test 1, Solutions Tutorial 3	Homework	Notes for week 5
Week 6	Test 2 next week Tutorial 4	Homework	Notes for week 6
Week 7	Test 2, Solutions No Tutorial	Homework	Notes for week 7
Week 8	No Tutorial	Homework	Reading Week
Week 9	Test 3 next week!	Homework	Notes for week 9
Week 10	Test 3, Solutions	Homework	Notes for week 10
Week 11	Tutorial 6	Homework Extra HMWK here	Notes for week 11
Week 12	1997 Final Exam Test 4 Solutions	Homework Extra HMWK here	Notes for week 12
Week 13	Tutorial 7	Homework	Notes for week 13

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: Wednesdays, 1:30 - 4:30 p.m.

TEXTBOOK(S):
Calculus Multivariable or Calculus, by J. Stewart Third Edition (Brookes/Cole Publishers); available at the Bookstore... and, in case you forgot your inverse functions, my...
The ABC's of Calculus by Angelo B. Mingarelli; Module on Inverse Functions, 80 pp., from the Instructor;cost $12.00 net, may come in handy.

TOPICS COVERED:
Third Edition: Sections 15.1,2,3,5,6,8 & 12.1,3,5 & 10.1,2,3,4,5,6,8,10,11,12

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:

Monday, January 5, 1998

LECTURE SCHEDULE:

Mondays, 360 Tory Building, 12:30 p.m.
Wednesdays, 360 Tory Building, 11:30 a.m.
Thursdays, 360 Tory Building, 1:30 p.m.

TUTORIALS:

All tutorials are held on Wednesdays at 3:30 p.m. and will begin on Jan. 14th (hopefully) in various locations depending on your section and the first letter of your family name (surname, cognome(n)):

• Tutorial 1: A - Dan: Ms. Lartigue, Room 2150, Herzberg Building.
• Tutorial 2: Day - Le: Mr. Z. Hu, Room 4494, Mackenzie Building
• Tutorial 3: Labelle - Rose: Mr. Gai, 417 Southam Building
• Tutorial 4: Rowat - Z: Mr. J.H. Hu, 310 Steacie Chemistry Building

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

STATUTORY HOLIDAY: ... ? University closed

WINTER BREAK: Feb. 23-27, 1998

CLASSES END: ... 1998

TUTORIAL CENTRE:

Please note that the mathematics TUTORIAL CENTRE, in Herzberg Physics Building, Room 4385, will be opening around Jan. 15th., 1998
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

WEEK	DATES	TESTS	SECTIONS	TOPICS
1	Jan. 5, 7, 8	None	15.1-2	Basic concepts, Separable equations, Homogeneous and Linear first-order equations
2	Jan. 12, 14, 15	None	15.2, 12.1-3	Bernoulli's equation, Functions of two variables, Partial derivatives
3	Jan. 19, 21, 22	None	12.5, 15.3,	The Chain Rule, Exact equations, Integrating Factors
4	Jan. 26, 28, 29	TEST 1, Jan. 28 Tutorial room	15.5	Second order linear equations, Reduction of order, Constant coefficients equations
5	Feb. 2, 4, 5	None	15.6	Non-homogeneous equations, Variation of Parameters
6	Feb. 9, 11, 12	None	15	Cauchy-Euler and other special equations, systems of equations
7	Feb. 16, 18, 19	TEST 2, Feb. 18 Tutorial Room	10.1-2	Sequences and series
8	Feb. 23 - 27	WINTER BREAK	None	No classes this week
9	Mar. 2, 4, 5	None	10.3-4-5	Integral Test and Estimation of sums, Comparison Test, Alternating series
10	Mar. 9, 11, 12	TEST 3, Mar. 11 Tutorial Room	10.6, 8, 9	Absolute convergence, Ratio Test, Root test, Power series
11	Mar. 16, 18, 19	None	10.10, 11, 12	Taylor and Maclaurin series, Binomial series, Applications of Taylor polynomials
12	Mar. 23, 25, 26	TEST 4, Mar. 25 Tutorial Rom	15.8	Series solutions of differential equations
13	Mar. 30; Apr. 1, 2	None	15	Series solutions of differential equations R E V I E W or enrich

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

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.

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