Department of Mathematics

136.151 Section L01

Applied Calculus I, Sept. - Dec. 2003

INSTRUCTOR Sasho Kalajdzievski

Office: 357 Machray Hall (474-6929)

Office hours: Mondays 9:50-10:20, Tuesdays 10-11 or by appointment

e-mail: sasho@cc.umaitoba.ca

web pages:

http://server.maths.umanitoba.ca/homepages/sasho/

(courses; new and old)

http://server.maths.umanitoba.ca/homepages/sasho/courses/136.151/136.151.html

(this course)

Discussion Page (a link can be found in the above pages; a place to ask questions and get answers; check it out)

WebMathematica Page (a link can be found in the above pages or through the main webMathematica page at http://home.cc.umanitoba.ca:8080/webMathematica/MY.html; the page will be equipped with interactive mathematical scripts related to this course; check it out.)

ASSESSMENT IN COURSE

The final grade is a combination of results on four quizzes, one midterm test, and a final examination.

Quizzes of 20 minutes duration will be conducted during the tutorials in the weeks of September 22, October 6, November 3, and November 17. The best 3 out of 4 will count for a total of 10% of the course grade.

The 60-minute midterm will take place on Thursday, October 23 from 5:30 to 6:30 in rooms to be announced in class. It counts 30% of the course grade.

The remaining 60% of the course grade is based on a 2-hour final examination to be scheduled by the Student Records Office.

One page of information, 21.6x28.0 centimeters (8.5x11 inches), handwritten on both sides (not mechanically reproduced), is allowed for all quizzes, the midterm, and the final examination. Electronic calculators are also permitted.

TEXTBOOK

Calculus for Engineers, 2nd edition, by D. W. Trim

Optionally, the Student Solutions Manual

COURSE OUTLINE

With reference to the above book, the following topics will be covered:

Review (Sections 1.1-1.3)

A brief review of analytic geometry

Self-review (Sections 1.6,1.7)

Students are expected to review trigonometry, exponentials, and logarithms on their own

Limits and Continuity (Sections 2.1-2.4)

Differentiation (Sections 3.1-3.12)

The derivative, rules for differentiation, higher-order derivatives, velocity and acceleration, chain rule, extended power rule, implicit differentiation, derivatives of trigonometric, exponential, and logarithm functions, logarithmic differentiation, mean value theorem

Applications of Differentiation (Sections 1.8,4.1-4.8,4.11)

Newton's method, increasing and decreasing functions, relative extrema, concavity and points of inflection, absolute extrema and applied extrema problems, velocity and acceleration, related rates, differentials

Indefinite Integrals (Sections 5.1-5.3)

The indefinite integral, velocity and acceleration, change of variable

Definite Integrals (Sections 6.1-6.4,6.7)

The definite integral, sigma notation, Riemann sums, fundamental theorem of integral calculus, change of variable

ACADEMIC HONESTY

Students are advised to familiarize themselves with the General Academic

Regulations of the university contained in the Undergraduate calendar, pages 24-30. In particular, students should read carefully sections 4.2.8 and 7.1. All forms of academic dishonesty are treated very seriously by the

Department of Mathematics, the Faculty of Science, and the Faculty of Engineering. Submitting another person’s work as your own, copying from another person at an exam, or bringing unauthorized information into a test or examination stored in calculator memory or otherwise is a serious offense. For further information, refer to the University Student Discipline By-Law, available from the Senate Secretariat Office.

ADDITIONAL NOTES

1. Voluntary withdrawal deadline is November 12.

2. If you miss a quiz or the midterm, you will be assigned a mark of zero unless reasons and acceptable supporting evidence are provided. There will be no make-up quizzes or midterm.

3. Students with a grade of less than 40% on the final examination will be assigned a final grade of F irrespective of term work.