MATHEMATICS
DEPARTMENT CALCULUS for ELECTROTECH (SCIENCE) 201-NYA-DW |
Ponderation: (3-2-3)
These numbers refer to
the minimum amount of time that you
are expected to invest in this course, per week. The first number refers to
lectures; the second, to “labs”, which in the math department generally mean
another lecture. The third number refers to study time and homework
assignments.
Prerequisite:
Registration in the
Electrotechnology program; Math 201-171-92 or Math 201-943-DW
Objectives &
Standards:
This course is designed,
in consultation with the Electronics Engineering Technology Department. The
course consists of an introduction to single-variable calculus.
Text:
The required text is Basic
Technical Mathematics with Calculus, 9th Edition by A.J.
Washington.
(Note that the 8th
edition is also acceptable however references to textbook pages might vary.)
Methodology: Lectures and problem sessions.
Term work:
The term grade is based
on a minimum of 4˝ hours of tests/quizzes.
A minimum of 3 class tests will be given. See the teacher’s supplement
to the outline for the precise description of term work (this term work can
vary from course section to course section)
Final Examination:
The Final Examination will be a supervised, comprehensive
examination held during the formal examination period.
Grading Policy:
A student’s grade shall
consist of:
Term work for 50%
Final Exam for 50%
Calculators:
A scientific calculator,
which has no text storage or graphing capabilities, is allowed for class tests
and the final exam. It is strongly
recommended that your calculator has complex number and calculus capabilities.
Policy on Cheating and
Plagiarism
Cheating in Examinations,
Tests, and Quizzes
Cheating
includes any dishonest or deceptive practice relative to formal final
examinations, in-class tests, or quizzes. Such cheating is discoverable during
or after the exercise in the evaluation process by the instructor. Such
cheating includes, but is not limited to:
a. copying or attempting to
copy another’s work.
b. obtaining or attempting to
obtain unauthorized assistance of any kind.
c. providing or attempting to
provide unauthorized assistance of any kind.
d. using or possessing any
unauthorized material or instruments which can be used as information storage
and retrieval devices.
e. taking an examination,
test, or quiz for someone else.
f. having someone take an
examination, test, or quiz in one’s place.
Unauthorized Communication
Unauthorized
communication of any kind during an examination, test, or quiz is forbidden and
subject to the same penalties as cheating.
Cheating and Plagiarism in Course
Work
Obligation of the Teacher
Every
instance of cheating or plagiarism leading to a resolution that impacts on a student’s
grade must be reported by the teacher, with explanation, in writing to the
Chair of Mathematics and to the Dean of Pre-University Studies. A copy of this
report must also be given to the student.
Penalties
Cheating
and plagiarism are considered extremely serious academic offences. Action in response
to an incident of cheating and plagiarism is within the authority of the
teacher.
Penalties may range from
zero on a test, to failure of the course, to suspension or expulsion from the
college.
Math Tutorial Room
(7B.1):
Volunteer math teachers
are available for help in room 7B.1 from 10:00 am to 4:00 pm, Monday through
Friday, and also from 5:00 pm to 6:00 pm, Monday through Thursday.
Religious Holidays:
Students who wish to observe religious holidays
must inform each of their teachers in writing within the first two weeks of
each semester of their intent to observe the holiday so that alternative
arrangements convenient to both the student and the teacher can be made at the
earliest opportunity. The written notice must be given even when the exact date
of the holiday is not known until later. Students who make such arrangements
will not be required to attend classes or take examinations on the designated
days, nor be penalized for their absence. It must be emphasized, however, that
this College policy should not be interpreted to mean that a student can
receive credit for work not performed. It is the student’s responsibility to
fulfill the requirements of the alternative arrangement.
Literacy Policy:
Problem solving is an
essential component of this course.
Students will be expected to analyze problems stated in words, to
present their solutions logically and coherently, and to display their answers
in a form corresponding to the statement of the problem, including appropriate
units of measurement. Marks will be
deducted for work which is inadequate in these respects, even though the
answers may be numerically correct.
Formulas:
No formula sheet will be
provided on the final examination.
Students’ Obligations:
a. Students have an obligation to arrive on time and
remain for the duration of scheduled classes and activities.
b. Students have an obligation to write tests and final
examinations at the times scheduled by the teacher or the College. Students
have an obligation to inform themselves of, and respect, College examination
procedures.
c. Students have an obligation to show respectful
behavior and appropriate classroom deportment.
Should a student be disruptive and/or disrespectful, the teacher has the
right to exclude the disruptive student from learning activities (classes) and
may refer the case to the Director of Student Services under the Student Code
of Conduct.
d. Cellular phones, pagers and musical listening
devices have the effect of disturbing the teacher and other students. All these devices should be turned off.
Students who do not observe these rules will be asked to leave the classroom.
e.
Cell phones must also be put away. Text messaging is not allowed in class.
COURSE CONTENT
*(Time listed for each
section is approximate)
Limits & Their Properties
– Chapter 23 (1
week)
23.1 Limits (Finding
limits graphically and numerically, Calculating Limits, Continuity and
One-sided Limits, Limits Involving Infinity)
The Slope & the
Derivative – Chapter 23
(1 week)
23.2 The Slope of a
Tangent to a Curve
23.3 The Derivative
23.4 The Derivative as an Instantaneous Rate of
Change
Rules of Differentiation – Chapter 23 (1.5 weeks)
23.5 Derivatives of
Polynomials
23.6 Derivatives of
Products and Quotients of Functions
23.7 The Derivative of a Power of a Function (chain
rule)
23.8 Differentiation of Implicit Functions
23.9 Higher Derivatives
Applications of the Derivative – Chapter 24 (2 weeks)
24.1 Tangents and
Normals
24.2
24.4 – 24.6 Curve Sketching
24.7
Applied Maximum and Minimum Problems (Optimization)
Differentiation of Transcendental Functions –
Chapter 27 (2.5
weeks)
27.1 - 27.2 Derivatives
of Trigonometric Functions
27.3 Derivatives of Inverse Trigonometric Functions
27.4 Applications
27.5 – 27.6 Logarithmic and Exponential Functions
27.7 L’Hospital’s Rule
Anti-differentiation – Chapter 25 (1 week)
25.1 Anti-derivatives
25.2 The indefinite Integral
Area & Numerical Integration – Chapter 25 (2.5 weeks)
25.3 The Area Under a
Curve
25.4 The Definite Integral
25.5 Trapezoidal Rule
25.6 Simpson’s Rule
Applications of Integration – Chapter 26 (2 weeks)
26.1 Applications of the
Indefinite Integral (mechanics, charging and discharging capacitors &
inductors)
26.2 Areas by Integration
26.6 Other Applications (Work, Force, Average Value
of a Function) *Time permitting
More Integration – Chapter 28 (1.5 weeks)
28.1 – 28.3 The General
Power Formula, Basic Logarithmic Form, Exponential Form
28.4 The basic Trigonometric Forms *Time permitting