Math 1100 Course Outline

Math 1100: Calculus of One Variable. 2008-2009

Contact Information

Section A
Instructor Section B
Instructor Department
Secretary

Instructor: Bing Zhou Marcus Pivato Carolyn Johns

Email: bzhou@trentu.ca marcuspivato@trentu.ca math@trentu.ca

Phone: 748-1011 x7926 748-1011 x7293 748-1011 x 7531

Fax: 748-1155 748-1155 748-1155

Office: Gzowski #341 Gzowski #335 Gzowski #341

Office hours: To be announced. To be announced. Monday-Friday
9:00 AM-1:00 PM only

Course Literature:

Required: Calculus: Early Transcendentals (6E edition), James Stewart (2008) Thompson Brooks/Cole.
Recommended: Formulas for Success, Trent University Academic Skills Centre.

Course websites: We will maintain two websites. The WebCT website (accessible through MyTrent) will be used to post your grades for quizzes and assignments, and to announce important events (via the WebCT `Calendar'). Our departmental website (http://euclid.trentu.ca/1100) will be used to post `course content', such as supplementary material and solutions to quizzes and exams.

Course Format: Three hours of lecture per week; one hour of `Classroom' seminar per week, and one hour of `Maple' seminar every two weeks (see section `Seminars' below).

Course Syllabus & Required Readings:

The syllabus below gives `required readings' for each lecture of the 24 weeks of the academic year (every required reading is one or more sections from the textbook by Stewart). Each lecture will closely follow the required reading for that day, and you should read this material before the relevant lecture. You are responsible for knowing all material in the required readings, unless otherwise indicated. There is not enough time to exhaustively cover all this material during lectures. Furthermore, the purpose of the lectures is not to simply regurgitate the textbook verbatim; it is summarize, explain, clarify and motivate the material in the text, and to answer questions.
Notes: Unless I explicitly state otherwise, everything I discuss in class is covered in the text, in more or less exactly the same format. Thus, if you prefer, you don't need to take detailed notes in class. Instead, you can focus your mental energy on understanding the lecture.
Questions: If you read the text ahead of time, you'll know what is confusing; you are invited to ask questions during the lecture. If you are too embarrassed, then send me your questions in email, or even in anonymous written notes. It is my responsibility to help you understand the material, but it is your responsibility to tell me what you don't understand.
The lecture schedule below is tentative, and subject to change as the semester unfolds. Check the Math 1100 website regularly for updates.

Week	Readings	Topic	Events
1	1.1-1.6	Functions and Models
2	2.1-2.2	Tangents, limits	Quiz #1
3	2.3-2.5	Limits: precise definition & calculation	Quiz #2
4	2.5-2.6	Continuity, Asymptotes	Quiz #3
5	2.7-3.1	Derivatives: introduction	Quiz #4
6	3.2-3.3	Derivatives: Products, quotients, and trig functions	Quiz #5
Reading Week (October 18-26)
7	3.4-3.6	Chain rule; Implicit Differentiation; Logarithms	Quiz #6, HW#1 due
8	3.8-3.9	Exponential Growth; Related Rates	Term Test #1
9	3.10, 4.1-4.2	Linear Approximation; Max & Min; Mean Value Thm.	Quiz #7
10	4.3-4.5	Graphs and curve sketching; L'Hospital's rule	Quiz #8, MAPLE HW #1 Due
11	4.7-4.8	Optimization; Newton's Method	Quiz #9
12	4.8-4.9	Antiderivatives	HW#2 Due
Exam period (December 5-20); Winter break (December 21 -January 4)			(no exam in Math 1100)
13	5.1-5.3	Integrals. Fundamental Theorem of Calculus	Quiz #10
14	5.4-6.1	Indefinite integrals; substitution; between curves.	Quiz #11
15	6.2-6.3	Volumes; Cylindrical Shells	Quiz #12, MAPLE HW #2 Due
16	7.1-7.2	Integration by parts; Trigonometric integrals	Quiz #13
17	7.3-7.4	Trigonometric Substitution; Partial Fractions	Term Test #2
18	7.5-7.6	Strategies of integration; Computer algebra systems	Quiz #14
Reading Week (February 14-22)
19	7.7-7.8	Approximate integration; Improper integrals	Quiz #15, HW #3 Due
20	8.1-8.2	Arc Length; Area of surface of revolution	Quiz #16
21	10.1-10.3	Paremetric curves; polar coordinates	Quiz #17
22	10.4,11.1-11.2	Area/length in polar coords; Sequences & Series	MAPLE HW#3 Due
23	11.3-11.6	Convergence tests; Alternating series	Quiz #18
24	11.7-11.10	Power series and Taylor Series	HW #4 Due
April Exam Period (April 8-25)			Final Exam

Grading Scheme

Best 16 out of 18 Quizzes	16x (2.5% each) =	40%	(weekly)
4 Homework assignments	4 x (2.5% each) =	10%	(semi monthly)
Best 2 of 3 MAPLE assignments	2 x (2.5% each) =	5%
Two term tests	2 x (10% each) =	20 %	(November & February)
Final Exam		25%	April, 3 hours,

Solutions: Solutions to all quizzes will be posted on the course webpage immediately after the quiz is written. Likewise, solutions to assignments will appear immediately after the submission deadline. You are invited to check the solution to get immediate feedback on your work. The solutions may also contain remarks addressing `common mistakes' (these are labelled by circled numbers).

Grades: Grades for all term work will be available on WebCT under My Grades, as soon as the work is marked.

Form and Style: Neatness, legibility, and good mathematical communication style are very important. If a quiz, exam, or assignment is illegible, messy, or very poorly written, it will not be graded.

Late assignments: We generally post the assignment solution immediately after the assignment submission deadline. This gives you the opportunity to immediately study the solution, while the assignment is still fresh in your minds, which maximizes its pedagogical effectiveness. However, once the solution has been posted, late assignments cannot be accepted under any circumstances. Assignments submitted after the deadline will thus automatically receive a grade of 0.

If you anticipate in advance that you will have difficulty finishing the assignment before the due date, then please contact us, and we will generally be happy to extend the homework deadline, as long as we are given at least 48 hours notice, so that the deadline can be extended for everyone (not just you).

Seminars: Math 1100 has two kinds of seminars: Classroom seminars and Maple seminars.

Classroom seminars are to help you understand the concepts and computational techniques taught during the lectures, and to develop computational skills through practice. They will also help you prepare for the weekly quizzes. You are expected to attend one hour of Classroom seminar every week. Section A and Section B share three Classroom seminar sections between them; you can register for any one of these three sections.
Maple seminars are to help you learn to use the computer algebra system MAPLE to perform computations and solve calculus problems. They also provide you with regular access to MAPLE-equipped computers, to help you complete the MAPLE-based homework assignments. You are expected to attend one hour of Maple seminar every two weeks. Section A and Section B together have access to the computer lab for two hours per week; thus, there are effectively four seminar `sections' to choose from (i.e. either of the two hours in either of the two alternating weeks). You can register for any one of these four sections.

Recommended problems to prepare for Quizzes and Exams:

(We may add more recommended problems to this list as the semester progresses; check the course webpage regularly)

Section 1.1	1, 23, 25, 27, 31, 37, 39, 43, 45, 47, 55, 65, 67, 69.
Section 1.2	9, 15.
Section 1.3	31, 35, 41, 45, 63, 65.
Section 1.5	15, 25.
Section 1.6	21, 23, 25, 33, 36, 47, 49, 51, 53.
Section 2.2	5, 9, 25, 27, 29.
Section 2.3	10, 15, 19, 20, 21, 25, 29.
Section 2.4	13, 15, 19, 21, 29, 31.
Section 2.5	11, 15, 17, 18, 19, 29, 35, 39, 41, 45, 47, 53.
Section 2.6	5, 7, 15, 19, 25, 29, 35, 39, 41.
Section 2.7	5, 7, 13, 17, 21, 25, 27, 31, 33, 41, 45.
Section 2.8	3, 21, 25, 27, 33, 35, 38, 41.
Section 3.1	3, 7, 11, 17, 23, 25, 27, 31, 33, 45, 49, 51, 53, 55, 67.
Section 3.2	2, 3, 5, 9, 11, 15, 19, 25, 27, 29, 41, 43, 45, 50, 51, 55.
Section 3.3	1, 5, 7, 9, 11, 15, 23, 29, 31, 33, 37, 39, 41, 45.
Section 3.4	9, 11, 15, 19, 23, 25, 29, 31, 37, 41, 47, 53, 59, 61, 67, 77.
Section 3.5	3, 7, 11, 15, 19, 21, 27, 29, 33, 35, 39, 43, 47, 61, 69.
Section 3.6	2, 3, 7, 11, 13, 19, 25, 27, 33, 37, 41, 43, 47, 50.
Section 3.9	3, 5, 9, 11, 12, 13, 15, 17, 21, 25, 27, 31, 37, 43.
Section 3.10	11, 13, 15, 17, 21, 23, 25, 35, 39.
Section 4.1	9, 11, 13, 15, 19, 21, 25, 29, 33, 35, 39, 41, 49, 55, 61.
Section 4.2	3, 5, 11, 17, 19, 23, 25, 27, 35.
Section 4.3	5, 7, 9, 11, 17, 21, 23, 25, 35, 39, 41, 45, 51, 53, 63, 64, 67.
Section 4.4	11, 15, 21, 25, 29, 33, 43, 49, 53, 55, 59.
Section 4.5	5, 9, 11, 19, 25, 33, 41, 49, 57, 65.
Section 4.7	3, 9, 11, 17, 19, 21, 27, 31, 33, 37, 49, 53, 65, 69, 73.
Section 4.8	5, 7, 13, 15, 23, 35.
Section 4.9	3, 5, 7, 13, 19, 23, 29, 31, 37, 39, 45, 53, 67, 75.
Section 5.1	17, 19, 21.
Section 5.2	1, 7, 9, 17, 19, 21, 23, 29, 33, 35, 37, 39, 47, 49, 53, 55.
Section 5.3	9, 11, 13, 17, 25, 29, 35, 39, 46, 51, 55, 69.
Section 5.4	5, 9, 11, 17, 21, 23, 29, 31, 37, 43, 48, 57, 67.
Section 5.5	3, 9, 13, 19, 21, 25, 29, 33, 39, 43, 51, 55, 59, 67, 69, 75.
Section 6.1	1, 3, 9, 13, 21, 29, 49,
Section 6.2	1, 7, 9, 11, 17, 23, 29, 33, 35, 50, 51, 59, 63.
Section 6.3	3, 5, 9, 13, 17, 21, 23, 25, 37, 41.
Section 7.1	5, 9, 13, 15, 17, 23, 27, 35, 43, 47.
Section 7.2	3, 7, 11, 13, 19, 23, 29, 35, 43, 57, 63.
Section 7.3	7, 9, 13, 17, 23, 25, 27, 29.
Section 7.4	1, 3, 5, 9, 11, 17, 21, 25, 29, 31, 35, 39, 43, 45, 47, 57.
Section 7.5	3, 7, 15, 17, 23, 25, 31, 35, 41, 45, 49, 57, 61, 69, 73, 77.
Section 7.7	5, 7, 15, 21.
Section 7.8	5, 7, 13, 21, 27, 29, 31, 49, 51, 57.
Section 8.1	5, 7, 11, 13, 17, 37, 39.
Section 10.1	3, 5, 9, 13, 15.
Section 10.2	3, 5, 7, 11, 15, 17, 29, 30, 33, 41.
Section 10.3	3, 5, 9, 11, 13, 17, 21, 25, 35, 39, 43, 59, 63, 67.
Section 11.1	5, 7, 13, 19, 35, 39, 61, 65, 67.
Section 11.2	9, 13, 17, 23, 25, 27, 43, 47, 49.
Section 11.3	5, 7, 11, 17, 21, 27.
Section 11.4	5, 8, 17, 19, 21, 27, 31, 40, 41.
Section 11.5	3, 5, 7, 11, 13, 17, 23, 27.
Section 11.6	3, 4, 7, 13, 19, 21, 29, 31.
Section 11.7	1, 3, 7, 13, 17, 25, 31, 37.
Section 11.8	3, 7, 15, 19, 23, 29.
Section 11.9	5, 9, 11, 13, 15, 23.
Section 11.10	5, 9, 15, 27, 35, 43, 63.

Plagiarism and Special Needs: By order of the Senate, the following notices appears on this outline:

Academic Dishonesty:
Academic dishonesty, which includes plagiarism and cheating, is an extremely serious academic offense and carries penalties varying from failure in an assignment to suspension from the University. Definitions, penalties, and procedures for dealing with plagiarism and cheating are set out in Trent University's Academic Dishonesty Policy which is printed in the University Calendar.

Access to Instruction
It is Trent University's intent to create an inclusive learning environment. If a student has a disability and/or health consideration and feels that he/she may need accommodations to succeed in this course, the student should contact the Disability Services Office (BL Suite 109, 748-1281, disabilityservices@trentu.ca) as soon as possible. Complete text can be found under Access to Instruction in the Academic Calendar.

Please show respect for other students by not making distracting noise during the lectures.