MATHEMATICS 201-103-77

**
CALCULUS I FOR AIRCRAFT** **MAINTENANCE**

**WINTER 2007
**Ponderation: ** **Pre-requisite: 201- 602

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: bdj@johnabbott.qc.ca 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,

8^{th} edition
approximately $115

**Attendance Regulation:** “Six missed classes
constitute a failure.” I will not
enforce this regulation.

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 ****John**** ****Abbott**** ****College****. **For information on student rights and responsibilities see the Institutional
Policy on the Evaluation of Student Achievement (IPESA) in your agenda. In the
event you wish a grade review, you must keep the test at least one month past
the grade review deadline.

**Section Topic Exercises**

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

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

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)

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

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