MacEwan University
Calculus I
Math 100 (BE 03)
Fall 2013
Instructor:
Office:
Phone:
E-mail:
Website:
Office Hours:
Sunil Barran
5-107B
780 497 5212
barrans@macewan.ca
Blackboard Learn
MWR: 11-12, T: 1-2, in 5-107B
T: 11-12 in 5-206 (Help Centre)
Lecture Time:
TR: 2-3:30
Lecture Room:
6-136
Course Hours:
Lecture 45
Lab 26
Course Description:
This course provides an introduction to the
fundamentals of calculus. The students learn about rectangular coordinates,
analytic geometry, transcendental functions, inverse functions, limits, continuity,
derivatives and applications, Taylor polynomials, integration and applications.
Note: This course is restricted to Engineering students. Credit can only be
obtained in one of MATH 100 or MATH 113 or MATH 114.
Course Objectives:
The objective of this course is to familiarize students
with the fundamentals of calculus. Topics covered include: rectangular
coordinates, analytic geometry, transcendental functions, limits, continuity,
derivatives and applications, Taylor polynomials, integration and applications.
Course Prerequisite:
Math 30-1 and Math 31
The Faculty of Arts and Science strictly adheres to the notion of prerequisites, and University
staff conduct prerequisite checks throughout the term. If it is discovered that you do not have the
appropriate prerequisite for this course, you will be withdrawn by the Registrar’s Office.
Deciding to remain in the course without the prerequisite may result in a significant financial
penalty because you will be responsible for any tuition costs associated with the course up to the
date of the withdrawal. Courses transferred to MacEwan University from another postsecondary institution will not be applied to your student record until a transfer credit
assessment has been completed. If you believe you have the proper external prerequisite please
consult with an advisor in the program office (6-211).
Required Learning Materials:
Calculus Early Transcendentals, Brooks/Cole 7th ed. (20011), by James Stewart
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Other Learning Resources: The Math Help Centre in 5-206 is available to
students in all Mathematics courses.
Evaluation:
Term Examination(s)
Final Examination*
Assignments
Lab(s)
40%
35%
15%
10%
100%
Examination Dates:
Term examination 1
Term examination 2
Final Examination*
Monday October 7th, 6pm – 7:30pm in 9-201
Monday November 4th, 6pm-7:30pm in 9-201
TBA, 2 hours exam
*Students are responsible for verifying the date of the final exam.
Format of Examinations:
written, closed book, no calculators
Grading:
MacEwan University adheres to the Alberta Common Grading Scheme, which is a
12 point letter grade system. While instructors may use percentages to aid in their
grade development, only the letter grade will appear on transcripts.
A+
A
AB+
B
BC+
C
CD+
D
F
95-100
90-94
85-89
80-84
75-79
70-74
65-69
60-64
55-59
50-54
45-49
0-44
Official grades will be provided by the Registrar’s Office through
myStudentSystem. A minimum grade of C– is required to receive transfer credit
or to satisfy a prerequisite for a higher level course. A minimum grade of 40%
on the final exam is required to obtain a grade of C- or better in the
course.
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Student Responsibilities:
Students are expected to be aware of their academic responsibilities as outlined in
MacEwan University Policy E3101: Student Rights and Responsibilities
(http://www.macewan.ca/contribute/groups/public/documents/document/pfw_0
03660.pdf).
1.
Academic Integrity: All forms of student dishonesty are considered unacceptable.
MacEwan University Policy C1000: Academic Integrity
(http://www.macewan.ca/contribute/groups/public/documents/admreq/pfw_014869.pdf)
promotes honesty, fairness, respect, trust, and responsibility in all academic work. According
to the policy, “Academic dishonesty involves participating in acts by which a person
fraudulently gains or intentionally attempts to gain an unfair academic advantage thereby
compromising the integrity of the academic process”. All incidents of academic dishonesty are
reported and recorded by the Academic Integrity Office. The penalties and sanctions for
academic dishonesty can include the following: a mark reduction up to zero on a piece of
academic work, a grade reduction up to an F in the course, and suspension or expulsion (with
transcript notation) from the University. Please see the academic integrity policy for more
details. You are responsible for understanding what constitutes academic dishonesty.
2. Registration Status: You are responsible for your registration status at the University.
Program advisors (Rm 6-211) may assist you with the process of registration, including
adding or dropping of courses, but it is your responsibility to verify that these changes have
been officially completed. This verification can be done at any time using myStudentSystem.
You should check your official registration status before the last date to officially withdraw
from the course.
3. Withdrawing From The Course: If you stop attending class you must complete a Course
Drop Form, have it signed by a Program Advisor (Rm 6-211), and submit it to the Registrar’s
Office by the last day to withdraw as provided in the Academic Schedule in the Academic
Calendar. Failure to officially withdraw will result in a grade being assigned based on course
work completed. Late withdrawals are only allowed in exceptional circumstances.
4. Exams: Your student photo I.D. is required at exams. It is at the discretion of the instructor
whether you will be allowed to write the exam if you arrive over 15 minutes after the exam has
begun. You must remain in the exam room for at least 20 minutes from the time it
commenced. Only calculators approved for use by the instructor may be used during
examinations, which include any laboratory and lecture quizzes. Any devices capable of
external communication, such as cell phones, iPods and blue tooth enabled devices, cannot be
used for exams of any type. Permission to use the washroom during exams is at the discretion
of the instructor and may require accompaniment.
5.
Missed Term Exams: If you miss a term examination you must provide the instructor with
an explanation within 24 hours or a mark of zero may be given. Notification may be provided
through email, voice mail, or direct contact with the instructor. Official documentation as to
why the examination was missed will be needed to assess whether your absence will be
excused or not. If your absence is excused the weight of this examination will be added to the
weight of the final examination in the course. Medical excuses must include the date you were
examined, the specific dates for the period of the illness, a clear statement indicating that the
severity of the illness prevented you from attending school or work, and the signature of the
examining physician (a signature by office staff on behalf of the physician is not acceptable).
Medical notes obtained subsequent to the date of the examination are generally not accepted.
A mark of zero will be given if the instructor considers the excuse inappropriate or
inadequately substantiated.
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6. Deferred Final Exam: A deferred examination will be granted if a student misses the final
lecture examination for reasons considered by the Bachelor of Science Program to be
unavoidable (deferred examinations do not apply to term or laboratory examinations). An
application for a deferred examination must be provided to the Bachelor of Science Program
no later than two business days after the date of the missed final examination. Application
forms are available from the individual departments within the Bachelor of Science Program
(see Cristina Vocaturo, 497-5786, VocaturoC@macewan.ca) and must be submitted with
appropriate documentation. Students should advise the instructor prior to the examination if
they know beforehand that they will be unable to attend the scheduled examination time.
Deferred examinations are granted by the Chair, Bachelor of Science Program, not by the
course instructor. If you have any questions about the process please contact Program
Services (780 497 4520 or science@macewan.ca) or Cristina Vocaturo, 497-5786,
VocaturoC@macewan.ca. For further information please refer to MacEwan University Policy
C2005: Final Assessment
(http://www.macewan.ca/contribute/groups/public/documents/document/pfw_003525.pdf
) and Policy C2020: Grading
(http://www.macewan.ca/contribute/groups/public/documents/document/pfw_003528.pdf
). Note that C2005 states: only a compelling situation such as serious illness, hospitalization,
domestic affliction or religious observance will be considered a valid reason for a student to
receive approval for deferral of a final assessment activity and personal vacations are not a
sufficient reason.
7.
Late Assignments (including laboratory assignments): As due dates for assignments
are known well in advance, medical and other excuses are generally not accepted as a reason
for submitting late assignments.
8. Cell Phones: All cell phones are to be turned off during class and exam periods (except
under exceptional circumstances in which approval has been given by the instructor).
9. Students With Disabilities: Students with disabilities who may have special requirements
in this course are advised to discuss their needs with Services to Students with Disabilities
located in the Student Resource Centre. You should advise the course instructor(s) of any
special needs that are identified. See Policy E3400 Students with Disabilities
(http://www.macewan.ca/contribute/groups/public/documents/document/pfw_003664.pdf
).
10. Student Appeals: The University has a policy regarding Student Appeals (E3103,
http://www.macewan.ca/contribute/groups/public/documents/document/pfw_003662.pdf)
. You should access this policy to become aware of the deadlines and guidelines that need to
be followed if you are appealing a grade or other University assessment.
11. MyMacEwan.ca Email: All students are given a <name>@mymacewan.ca email address.
This email address is available to the course instructor who may distribute relevant course
information or announcements via email. The Bachelor of Science Program regularly
communicates with students via email. Check your mymacewan.ca email regularly or forward
it to an email address you check regularly. If you use email to communicate with your
instructor, you must use your mymacewan.ca account. This is to protect your privacy; if a
non-mymacewan.ca account is used, there is no way for an instructor to verify the identity of
the sender.
12. Other: Calculators are not allowed during examinations.
Disclaimer: The information in this course outline is subject to change. Any
changes will be announced in class or, if applicable, in the laboratory.
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Syllabus and Tentative Schedule of Topics (subject to change)
Week 1 Sep 3 – Sep 6 (Monday is a holiday)
1.3 New Functions from Old Functions
1.5 Exponential Functions
1.6 Inverse Functions and Logarithms
Week 2 Sep 9 - Sep 13
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
Week 3 Sep 16 - Sep 20
2.7 Derivatives and Rates of Change
2.8 The Derivative of a Function
3.1 Derivatives of Polynomials and Exponential Functions
3.2 The Product and Quotient Rules
Week 4 Sep 23 - 27
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
Week 5 Sep 30 – Oct 4
3.6 Derivatives of Logarithmic Functions
3.11 Hyperbolic Functions
3.9 Related Rates
Week 6 Oct 7 – Oct 11
3.10 Linear Approximations and Differentials
4.1 Maximum and Minimum Values
MIDTERM #1 Monday October 7 (Covering Sections 1.3 – 3.6)
Week 7 Oct 14 – Oct 18 (Monday is a holiday)
4.2 The Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
Week 8 Oct 21 – Oct 25
4.4 Indeterminate Forms and L’Hospital’s Rule
4.5 Summary of Curve Sketching
Week 9 Oct 28 – Nov 1
4.7 Optimization Problems
4.9 Antiderivatives
5.1 Area and Distances
Week 10 Nov 4– Nov 8
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
MIDTERM # 2 Monday November 4 (Covering Sections 3.9 – 4.7)
Week 11 Nov 11 – Nov 15 (Monday is a holiday)
5.4 Indefinite Integrals and the Net Change Theorem
5.5 The Substitution Rule
Week 12 Nov 18 – Nov 22
7.1 Integration by Parts
6.1 Areas between Curves
Week 13 Nov 25 – Dec 29
6.2 Volumes
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6.3 Volumes by Cylindrical Shells
Week 14 Dec 2 – Dec 3
Review
Math 100 Assignment Schedule
Assignment #
1
2
3
4
5
6
7
8
9
10
(Practice
Problems)

Sections Assignment Problems
1.3
1.5
1.6
2.2
2.3
2.5
2.6
2.7
2.8
3.1
3.2
3.3
3.4
3.5
3.6
3.11
3.9
3.10
4.1
4.2
4.3
4.4
4.5
4.7
4.9
5.1
5.2
5.3
5.4
5.5
7.1
6.1
6.2
6.3
18, 28, 36
2, 22
18, 26, 52, 70
6, 12, 32
20, 26, 30
46, 56(a)
22, 26
14, 32
6, 28
16, 30, 54
24, 44, 48
16, 30, 48
36, 46
18, 28, 54
24, 50
16, 32
28, 30
16, 30, 36
6, 40, 56
6, 18, 20
28, 34, 48
26, 32, 48, 62
14, 16, 22, 42, 48
8, 14, 28, 46, 62
12, 42, 62
18, 20, 22
8, 24, 34, 36
4, 30, 40, 58
16, 32, 38
18, 40, 68
6, 12, 22, 40
12, 14, 28
12, 14, 16
6, 10, 14, 18, 20
Due Date
(due by 2pm)
Sep 13
Sep 20
Sep 27
Oct 4
Oct 18
Oct 25
Nov 1
Nov 15
Nov 22
Do not submit this
assignment. It will
not be marked.
Procedure for submission of assignments:
1.
All assignments will be posted on Blackboard Learn. Assignments are due at
2PM on the posted date.
2. Please use clean edged standard leter-size paper.
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3. Make a habit of doing neat and presentable work: if the grader has difficulties when
deciphering what you have written, the problem will not be graded, and the respective
credit will be 0.
4. Show all your work and explain the steps of your solution; explain them in words if
necessary: the grader is not supposed to guess what you mean, - it must be written.
5. If you have more than one sheet, please staple them together properly. Do not use
paper clips or other devices.
6. The assignment drop boxes are located by the entry doors on the east side of the 105
street building, next to the Math department (5-107). You must submit your assignment
in the slot labelled Sunil Barran no later than 2pm on the due date.
7. If an assignment is not completed and delivered according to the above
procedure, it will be immediately recycled and the grade 0 will be assigned.
8. When you receive the marked assignments, make sure that the marks are totalled
correctly. Try to do your best to understand your mistakes. In order to do this you may
try to solve the problem again and /or compare your solution/answer with the solution
posted on Blackboard. Make a habit of checking your marked solutions with those posted
even if the marker assigned you a perfect score. This will serve not only as a review, but it
may possibly also bring to your attention an alternate approach to solving problems and
may even identify, to your advantage, the situation where the marker may have given you
credit for an incorrect solution! This is very rare, but this knowledge will spare you from
losing valuable marks in examinations, and also serve as your personal quality control
device.
9. If you disagree with the grade assigned by your grader for a certain problem or if
some grades are missing or they are not totalled correctly, write a clear message on a
separate page for your grader, staple it to your assignment and put it in the filing
cabinet when you deliver your next assignment. If after reading the answer from
your grader, the conflict has not been resolved and you think you are right and your
grader is wrong, bring your assignment and the correspondence to the instructor.
Math 100 Lab Schedule
Week 1: Introduction. Maple demonstration.
Week 2: Tutorial on 1.3, 1.5, 1.6.
Week 3: Quiz on 1.3, 1.5, 1.6. Tutorial on Limits and Continuity
Week 4: Tutorial on Derivatives.
Week 5: Quiz on Derivatives. Midterm 1 Review.
Week 6: Tutorial on Logarithmic Functions, Tutorial on Related Rates.
Week 7: Tutorial on Newton’s Method.
Week 8: Quiz on Related Rates.Newton’s Method. Tutorial on L’Hospital’s rule.
Week 9: Quiz on L’Hospital’s rule. Midterm 2 review
Week 10: Tutorial on Antiderivatives & Area and Distance.
Week 11: Tutorial on the Definite Integral and the Fundamental Theorem of Calculus.
Week 12: Quiz on antiderivatives & area and distance. Tutorial on Approximate
integration.
Week 13: Tutorial on Substitution Rule and Integration by Parts.
Monday labs will not meet in weeks 1, 7, or 11 due to holidays.
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