Mathematics 1000     (Calculus   I)

Winter 2003        Section 005

Slot F04 Room: SN-2067      Time: MTWF 11:00-11:50 am
Instructor Dr.   Sergey Sadov     Office: HH-3009     Phone: 737-4358
email: sergey@math.mun.ca
Office Hours MTF 11:55 am-12:55 pm;   W 4:00pm-5:00 pm,  or by appointment
Course webpage   www.math.mun.ca/~sergey/m1000
 
Prerequisite: Mathematics 1090 or a combination of placement test and high school Mathematics scores acceptable to the Department
 
Textbook: Calculus of a Single Variable, Early Transcendental Functions,  by   R. Larson, R. Hostetler, B. Edwards   (3rd Edition). Houghton Mifflin Company, Boston - N.-Y. 2003.  ISBN 0-618-22308-8.  (2nd Edition is also suitable.)
 
Course Evaluation:   Total grade (out of maximum 100) consists of

Assignments will be given usually once a week, and will be due on the specified date, before the lecture starts. Late assignments will not be marked. Assignments can be handed in before class or can be put in the designated box located in the corridor near the Math & Stats General Office in the Henrietta Harvey Building.

Assignments are to be submitted on loose leaf, 8.5 x 11'' paper, stapled in the upper left corner, written on one side only, with problems done in order. Your work should be neat and legible. Assignments should include a cover page with the student's name, the course and the assignment number.
All assignment problems should be attempted alone until you pass the point of diminishing returns. At that time, you should talk about the problem(s) with your fellow students, with the instructor during the office hours, or seek help in the Help Center or anywhere else.

Help Centre is in HH-3015. Its main purpose is to provide help to students who experience difficulties with Math 1000, Math 1050/1051 and Math 1090. The Centre will begin operations on the 2nd week of classes. It will be open M-Th 10:00 am - 4:00 pm, and Friday 9:00 am- 1:00 pm.

Attendance can be taken into account in determining the final course mark in borderline cases.

Supplementary Examinations. Students who scored at least 50% of term mark and have final grades from 45 to 49 are eligible to write a supplementary exam. Please note: There is no deferred semester exams. Those absent from a class test with acceptable reasons submitted in writing within one week of the event, will have an appropriate higher weighting on their final examination.

Calculators. Use of ordinary scientific calculators will be permitted on exams. However, graphing and symbolic calculators will not be permitted. If in doubt about your brand or model, check with your instructor. If your calculator has the capability to store formulas and/or notes, you must delete any such material before using the calculator during a test or the final examination. Taking unauthorized formulas or notes into tests or examinations electronically, or receiving data electronically during the exam, will be regarded as a serious academic offence (see page 66 of the 2002/2003 University calendar).

Video Cassettes. A number of VHS cassettes which deal with topics in Math-1000 are available from the Mathematics and Statistics General Office, MA-3003, for overnight viewing by registered students. A $5.00 refundable deposit is required.

Important dates - Winter Semester 2003
January 9, Thursday     Lectures begin
January 23, Thursday   Last day to add courses. Last day to drop courses and receive 100% refund
January 30, Thursday   Last day to drop courses and receive 50% refund
February 6, Thursday   Last day to drop courses and receive 25% refund
February 17, Monday   Midterm Test - 1
February 24, Monday   Winter break begins
February 27, Thursday   Lectures resume. Last day to drop courses without academic prejudice
March 24, Monday   Midterm Test - 2
April 9, Wednesday   Last day of lectures
April 14-24   Final Examination Period

Course Outline

UNIT 1: LIMITS AND THEIR PROPERTIES (2.5-3 weeks)

1.1 A Preview to Calculus (Sect. 1.1)
1.2 Finding Limits Graphically and Numerically (Sect. 1.2, Ex.: pp.72-74, #1-20, 49-52.)
1.3 Evaluating Limits Analytically (Sect. 1.3, Ex.: pp.83-85, #5-64, 69-94, 101-104, 107-110.)
1.4 Continuity and One-Sided Limits (Sect. 1.4, Ex.: pp.94-97, #1-60, 63-70, 83-103, 108-111.)
1.5 Infinite Limits (Sect.1.6, Ex.: pp.103-105, #1-54, 59-70, 74-77.)

UNIT 2: DIFFERENTIATION (4-4.5 weeks)

2.1 The Derivative and the Tangent Line Problem (Sect. 2.1, Ex. pp.119-122, #1-49, 61-86.)
2.2 Basic Differentiation Rules and Rates of Change (Sect. 2.2, Ex. pp.132-135, #1-76, 81-98, 100-113.)
2.3 The Product and Quotient Rules and Higher Order Derivatives (Sect. 2.3, Ex. pp.143-145, #1-54, 63-81, 82-108,111-116.)
2.4 The Chain Rule (Sect. 2.4, Ex. pp.156-160, #1-36, 47-144, 149-153, 155-156, 161-168, 175-178.)
2.5 Implicit Differentiation (Sect. 2.5, Ex. pp.166-168, #1-76.)
2.6 Related Rates (Sect. 2.7, Ex. pp.180-183, #1-54.)

UNIT 3: APPLICATIONS OF DIFFERENTIATION (2.5-3 weeks)

3.1 Extrema on an Interval (Sect. 3.1, Ex. pp.203-205, #1-38, 55-72)
3.2 Rolle's Theorem and Mean Value Theorem (Sect. 3.2)
3.3 Increasing and Decreasing Functions and the First Derivative Test (Sect. 3.3, Ex. pp.219-221, #1-44, 53-66, 79-84.)
3.4 Concavity and the Second Derivative Test (Sect. 3.4, Ex. pp.227-229, #1-50, 55-66, 68-71,73,75-77,87-92.)
3.5 Limits at Infinity (Sect. 3.5, Ex. pp.237-239, #1-70, 83-86, 89-94.)
3.6 A Summary of Curve Sketching (Sect. 3.6, Ex. pp.246-249, #1-44, 65-76.)
3.7 Optimization Problems (Sect. 3.7, Ex. pp.256-261, #2-45.)

UNIT 4: INTEGRATION (2-2.5 weeks)

4.1 Antiderivatives and Indefinite Integration (Sect. 4.1, Ex. pp.283-286, #1-56, 59-91, 93-98.)
4.2 The Definite Integral and Area (Sect. 4.4, pp.309-311 (Ex.1), Sect. 4.3 pp.302 (Th.4.5)-306, Sect. 4.4, p.311 (Ex.2,3). Ex. p.318 #5-50; pp.306-308, #15-46, 53-56, 63-68. #1-56, 59-91, 93-98.)
4.3 Area of a Region Between Two Curves (Sect.6.1) Ex. pp.418-420, #1-30, 41-46, 47-54, 57-68.