MATHEMATICS 201-103-77
CALCULUS I FOR AIRCRAFT MAINTENANCE
WINTER 2007
Ponderation:
Monday 1130 – 1 in H219 Wednesday 1130 – 1 in H219 Friday 1030-1230
in P211
Instructor: Bob DeJean Phone 457-6610 ext 5839 Office H209 inside H203. Office Hours: Monday 10-1130 and 230-4,
Tuesday 230-4, Wednesday 10 – 1130 and 230-4, Friday 10 – 1030 and 230 - 4. Wednesday 9 - 10 I am in the Math Lab for
SASS. Bug me !!
I am paid to work for you.
e-mail: [email protected] web-page: www2.johnabbott.qc.ca/~bdj
This course is the second of
three required mathematics courses in Aircraft Maintenance.
COURSE OBJECTIVES The successful
student should be able to:
1.
Evaluate a limit and use it to determine the
continuity of a function at a point.
2.
State and use the limit definition of the derivative
of a function.
3.
Find the derivatives of algebraic, trig, exponential
and logarithmic functions.
4.
Use the techniques of implicit and logarithmic
differentiation.
5.
Interpret the derivative as a rate of change.
6.
Use Calculus to sketch the graphs of polynomial and
rational functions
7.
Solve optimization problems.
8.
Evaluate indefinite and definite integrals by the
methods of algebraic substitution and the use 
of basic trig forms.
9.
Calculate the area between two curves.
CONTENT see over
BIBLIOGRAPHY Allyn J.
Washington, BASIC TECHNICAL MATHEMATICS WITH CALCULUS,
8th edition
approximately $115
TEACHING METHODS Classes are primarily lectures, with
some discussion and problem-solving. All
classes are integral parts of this course.
At least three hours of homework a week is normal. Generally, each class session will introduce a
new topic followed by worked examples and suggested problems to be done in
class. Ask your instructor for help as soon as you encounter difficulties in
the course. Always review your notes on a regular basis. Work on the homework
as soon as possible following the lecture, as the material will be fresher in
your mind. This will also give you a
chance to get help before real problems develop. Use the Math Lab H-203 and the Math Help Centre H-222.
Attendance Regulation: “Six missed classes
constitute a failure.” I will not
enforce this regulation.
EVALUATION Class
Mark: 10 Homework Assignments 20 %
+ 4 class tests 80 %
A student must write the
Final Exam if the student’s class mark is > 50%.
Final Grade is the better
of: 50% Class Mark, 50% Final Exam OR
25% Class Mark, 75% Final Exam
A student whose class mark is < 50% may choose whether or not to
write the Final Exam. If the student
writes the Final Exam, then the Final Grade is obtained as above. If the
student does not write the Final Exam, then the class mark (< 50%) is the
student’s Final Grade.
COURSE COSTS Text $115 & Scientific calculator equipped with
trig and log functions $20 Most students have these from last semester.
COLLEGE POLICY ON CHEATING
AND PLAGARISM Cheating and
plagiarism are unacceptable at
Section Topic Exercises
Unit I Limits and
Derivatives
23-1 Limits
(use numerical method when requested) 5-52
23-2 Tangent
Lines 7-22
23-3 Limit
Definition of the Derivative
(using h) 3-20
23-4 Instantaneous
Rate of Change 11-30
23-5 Derivatives
of Polynomials 5-36
23-6 Product
& Quotient Rules 3-26,
43-48
23-7 Derivative
of a Power of a function 5-34
23-8 Implicit
Differentiation 3-28
23-9 Higher
Derivatives 3-40
Unit II Derivatives of Transcendental
Functions
27-1 Derivatives
of Sine & Cosine Functions 3-34
27-2 Derivatives
of other Trig Functions 3-34
27-5 Derivatives
of Log Functions 3-34
27-6 Derivatives
of Exponential Functions 3-30
Unit III Applications of the
Derivative
24-1 Tangents
and Normals 3-10
24-3 Curvilinear
Motion 3-20
24-4 Related
Rates 3-25
24-5 Sketch
the graphs of Polynomial Functions 5-32
24-6 Sketch
the graphs of Rational Functions 2-18
24-7 Applied
Max & Min Problems 3-22
24-8 Differential (notation
only)
Unit IV Integrals and Area
25-1 Antiderivatives 5-23
25-2 Indefinite
Integration 5-36
25-3 The
Area Under a Curve 15-23
25-4 Definite
Integration 3-28
26-1 Applications
of the Indefinite Integral 3-12
26-2 Areas
by Integration 3-28
Unit V Techniques of
Integration
28-1 Integration
- General Power Formula 3-10,
15-26
28-2 Integration
- Basic Log Forms 3-30
28-3 Integration
- Exponential Form 3-24
28-4 Integration
- Basic Trig Forms 3-28