Last edited: December 22, 2010

MATH 1009* Sections A and B (Winter 2011)

 Calculus with Applications to Business and Economics

Instructor: Dr. Elena Devdariani

Contact: Office: 4350 HP(Herzberg Physics), Phone: (613) 520 -2600, ext. 2114, Email: elenad@math.carleton.ca

Students may see the instructor in her office during these hours: Wednesday 11:30 - 12:30, Thursday 1:00-2:00.  If the hours are inconvenient,  email the instructor to schedule an appointment.

Website: http://mathstat.carleton.ca/~elenad/; http://math.carleton.ca/~elenad/

Textbook: Elementary Calculus with Applications (Lecture Notes), by E. Devdariani
The textbook shall be available at the Campus Bookstore (probably after the Christmas Break)  and at  Haven Books , 43 Seneca Street, (613) 730-9888.  ( 5-minute walk from campus, two blocks from Bronson along Sunnyside.)

Prerequisites:
Ontario Grade 12 Mathematics: Advanced Functions, or
an OAC in Calculus; or MATH 0007; or equivalent.

Lectures for Section A begin on Tuesday, January 4, 2011, and then every Tuesday and Thursday 2:35 - 3:55 pm,  in 302 Azrieli Theatre.
Lectures for Section B begin on Wednesday, January 5, 2011, and then every Wednesday and Friday 1:05 - 2:25 pm,  in 102 Azrieli Theatre.

Winter break:  February 21-25, classes are suspended.

Tutorials: begin on the second week of classes. On the tutorial sessions the students are expected to work in small groups or individually on specific problems.  A Teaching Assistant (TA) will be present, to answer questions and to administer the tests. The TAs for this course are TBA.
 
(1) Term Mark 40% (4 tests);

(2) Final Examination 60%.

Term Mark
There will be four 50-minute tests hold in the regular tutorial hours.
 
For Section A, the dates of the tests are :  January 21, February 11, March 4, March 18.

For Section B, the dates of the tests are :  January 24, February 14, March 7, March 21.


 Students are expected to take all 4 tests. The best 3 of the 4 will be counted. There are no make-up tests. In case when a student misses a test
due to illness (supported by a doctor             note), jury duty or extreme personal misfortune, the term mark may be pro-rated. Please see the instructor should such a case arise. It is each student's responsibility to collect the             marked test from the TA. The test papers are distributed in the tutorial session following the date of the test .

Final Examination

This is a 3-hour exam scheduled by the University during the period of April 7 - 21 (including Saturdays), 2011. It is each student’s responsibility to be available at the time of the examination. In particular, no travel plans should be made until the examination schedule is published.
 It is each student's responsibility to find out the correct date and time of the exam and the room where it takes place. After the exam is written, the students are allowed to see their exam papers. Students who wish to review their final examination paper must do so within three weeks of the examination period.This examination review  is for the educational purpose only and NOT for negotiation of the grade with the instructor. Please remember that we do not change grades on the basis of your needs (such as scholarships, etc.).  

Note: to pass a course, a student must obtain at least 50%  of the total mark. Students who do not present any term work and are absent on the final examination will be assigned the grade of FND – “Fail No Deferral”. Such students are not eligible to write a deferred examination.

Students who missed the examination may be eligible for a deferred exam, provided that they present a doctor note or another supporting document to the Registrar's Office.  It is the Registrars Office (not the course Instructor!) that makes the decision of granting a deferred examination.  Students who are granted a deferred examination for the Fall term write the same examination as the Winter term sections of this course. After the deferred exam is written, all questions should be directed  to the School of Mathematics and Statistics and not to the Instructor.

Calculators
ONLY non- programmable calculators are allowed for tests and for the final exam.  Any programmable calculator will be confiscated for the duration of a test or the exam. I reserve the right to disallow any calculator.

Homework
Students are expected to do every exersice from the textbook.  These exercises are not to be handed in and will not be graded.  However, to succeed in the course it is absolutely essential to do the exercises on a regular basis.

The Tutorial Centre (1160 HP, in the tunnel)
This is a drop-in centre providing a one-to-one tutorial service for Q-year and first year students on a "first come first serve" basis. It is open on TBA, at the following hours:
TBA

Students with disabilities requiring academic accommodations in this course are encouraged to contact the Paul Menton Centre (500 University Centre, phone 520-6608) to complete the necessary forms. After registering with the Centre, make an appointment to meet with the instructor in order to discuss your needs at least two weeks before the first in-class test. This will allow for sufficient time to process your request. Please note the following deadline for submitting completed forms to the Centre for formally scheduled exam accommodations: March 11, 2011.

Academic Accommodation: You may need special arrangements to meet your academic obligations during the term because of disability, pregnancy or religious obligations. Please review the course outline promptly and write to me with any requests for academic accommodation during the first two weeks of class, or as soon as possible after the need for accommodation is known to exist. It takes time to review and consider each request individually, and to arrange for accommodations where appropriate. Please make sure you respect these timelines particularly for in-class tests, mid-terms and final exams. You can visit the Equity Services website to view the policies and to obtain more detailed information on academic accommodation at http://carleton.ca/equity/accommodation

List of topics:

Elementary Functions (Ch 1)
Definition, domain range. Algebra of functions. Transformation of graphs.
Polynomial, rational, power functions. Exponential and logarithmic functions.

Limits (Ch 2)
The limit of a function at a point. Properties of limits. Limits at infinity.
Continuous functions. The Intermediate Value Theorem.

The Derivative and Rules of Differentiations (Ch.3)
The derivative as the rate of change and as the slope of the graph of a function.
Power Rule. Product and Quotient Rules. Chain Rule.
Implicit differentiation. Higher order derivatives.

Applications of the Derivative (Ch.4)
Determining the intervals where a function is increasing/decreasing.
Marginal concepts in economics. Elasticity of demand.
Maximum and minimum values. Second derivative.
Curve sketching. Optimization problems.
Exponential models (continuously compounded interest,
exponential growth and decay, learning curves).

Functions of  Several Variables (Ch.5)
Partial derivatives.
Maxima and minima of functions of two variables.
Lagrange multipliers and constrained optimization.

Integration (Ch.6)
Antiderivative. Basic rules of integration.
Integration by substitution.
The definite integral.
The Fundamental Theorem of Calculus.
Evaluation of definite integrals.