Math 101 (BE03)
Winter 2015
This course provides a continuation of the study of Calculus.
Students learn about techniques of integration, arc length, area of a surface of revolution, applications to physics and engineering, first order ordinairy differential equations (separable and linear), infinite series, power series, taylor expansions, polar coordinates, rectangular coordinates in R 3 , parametric curves in the plane and space (graphing, arc length, curvature), normal, binormal, tangent in R 3. Note: This course is restricted to Engineering program students. Credit can only be obtained in one of MATH 101 or MATH 115.
Upon completion of this course, the student will be able to…
 Integrate various types of functions and use integratin to compute areas, volumes and lengths.
 Solve first-order linear and separable differential equations.
 Understand the concepts of series and power series, decided whether they converge or diverge, and use them in applications.
 Understand polar coordinates and find areas and lenghts for curves given in parametric form.
 Work with vector functions and master the beginning of vector calculus.
Minimum grade of C- in Math 100.
Calculus Early Transcendentals , Brooks/Cole 7 th ed.
(2011), by James Stewart
Template last updated: July 07, 2014

Two Term Examination(s)
Final Examination
Assignments
Laboratory
20% each
35%
15%
10%
100%
: Thursday February 12, 18:30-20:00, in room 9--323
: Tuesday March 17, 18:30-20:00, in room 9-323
Final Exam* : TBA , 2 hours exam
here
A+
A
A-
B
B+
95-100
90-94
85-89
80-84
75-79
B-
C+
70-74
65-69
C
C-
60-64
55-59
D+
D
50-54
45-49
F 0-44
Template last updated: July 07, 2014

Students are expected to be aware of their academic responsibilities as outlined in
MacEwan University Policy E3101: Student Rights and Responsibilities (found here ).
1.
Academic Integrity: All forms of student dishonesty are considered unacceptable.
MacEwan University Policy C1000: Academic Integrity (found here ) 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.
Course prerequisites: Students are responsible for having all prerequisites required for a given course. Prerequisite checks are periodically carried out and any students who do not have the appropriate prerequisite may be removed from the course. If you are removed from the course, you may be responsible for any tuition costs up to the date of removal. Any courses from another post-secondary institute cannot be used as a prerequisite until assessed and approved for transfer credit.
4.
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 Office of the
University Registrar 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.
5.
Attendance and Punctuality: While attendance is not graded, you are expected to attend every class. Note that important information regarding assignments and tests may be announced in class at any time throughout the semester. If you miss a class, it is your responsibility to find out what you have missed – the instructor is not responsible for any consequences arising from a student missing any information due to nonattendance. Please note that most students find it very difficult to catch up after a missed class, and that lecture
notes will NOT be posted on Blackboard. Punctuality is expected every class. If you absolutely must be late due to an unforeseen circumstance, please enter quietly and discreetly
6.
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
Template last updated: July 07, 2014

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.
7.
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.
8.
Final Exams: You are responsible for accessing and confirming the official date, time, duration and location of the final exam. The Office of the University Registrar releases the official schedule no later than half-way through the term. This schedule is available here and is posted in specific locations on each campus (usually by the bookstore). Students are required to be available for the entire exam period. For further information, see MacEwan
University Policy C2005: Final Assessment (found here ).
9.
Deferred Final Exam: University policy allows for the deferral of exams for extenuating circumstances, such as illness or catastrophic events. To apply for a deferral, see Program
Services (Rm 6-211). Applications must be received by Program Services within two business days of the missed exam. Note that a vacation, even if paid for and/or documented, is not grounds for an exam deferral. Application forms are available from the Program Services office, and must be submitted with appropriate documentation. Students should advise their instructor prior to the examination if they know beforehand that they will be unable to attend the scheduled examination time. If you have any questions about the process please contact
Program Services (780 497 4520 or science@macewan.ca). For further information please refer to MacEwan University Policy C2005: Final Assessment (found here ) and Policy C2020:
Grading (found here ).
10.
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.
11.
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).
12.
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 (found here ).
13.
Student Appeals: The University has a policy regarding Student Appeals (E3103, found here ). 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. Assistance with the appeals process is available through counsellors in the Student Resource Centre.
Please call 780 497 5063 or 780 497 5064 to make an appointment.
14.
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 Faculty of Arts and Science regularly communicates with students via email. Check your mymacewan.ca email regularly or forward
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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.
15.
Other: a) Calculators are not allowed during examinations. b) Internet use is not permitted during class. c) Texting is not permitted in class
Disclaimer: The information in this course outline is subject to change. Any changes will be announced in class or, if applicable, in the laboratory.
Syllabus and Tentative Schedule of Lecture Topics (subject to change)
Week 1 Jan 5-9
7.2
Trigonometric Integrals
7.3
Trigonometric Substitution
Week 2 Jan 12-16
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
Week 3 Jan 19-23
7.7 Approximate Integration (covered in the lab)
7.8 Improper Integrals
8.1 Arc Length
8.2 Area of a Surface of Revolution
Week 4 Jan 26-30
9.1 Modeling with Differential Equations
9.2 Direction Fields and Euler’s Method (covered in the lab)
9.3
9.5
Separable Equation
Linear Equations
Week 5 Feb 2-Feb 6
11.1 Sequences
11.2 Series
Week 6 Feb 9-13
11.3
The Integral Test
11.4
The Comparison Tests
MIDTERM 1 on Thursday February 12 (covering sections 7.2 to 9.5)
Week 7 Feb 16-20
Reading Week – no classes
Week 8 Feb 23-27
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
Week 9 Mar 2-6
11.8 Power Series
11.9
Representation of Functions as Power Series
11.10
Taylor and MacLaurin Series
Week 10 Mar 9-13
11.10 Taylor and MacLaurin series (continued)
11.11 Applictions of Taylor Polynomials
Week 11 Mar 16-20
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves
Template last updated: July 07, 2014

MIDTERM 2 on Tuesday, March 17 (covering sections 11.1 to 11.9)
Week 12 Mar 23-27
10.3
10.4
Polar Coordinates
Areas and Lengths in Polar Coordinates
Week 13 Mar 30-Apr 2
12.1 Three-Dimensional Coordinate Systems
13.1 Vector Functions and Space Curves
Week 14 Apr 7-10
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
Review.
Final Examination period begins Wednesday April 15.
Math 101 Assignment Schedule Winter 2015
Assignment # Sections From Text Assignment Problems Due Date by noon
1
2
3
4
5
6
7
8
9
7.2
7.3
7.4
7.5
7.8
8.1
8.2
9.1
9.3
9.5
11.7
11.1
11.2
11.3
11.4
11.5
11.6
11.8
11.9
11.10
11.11
10.1
10.2
10.3
10.4
12, 22, 32,40, 64
10, 12,26, 38
16,24,26,32,52
10,38,42, 66
20,28,54
10,14,36
10,16, 28
10, 12
8,14,22,46
8,12, 30
32, 46,76
32,38,,60
18, 32, 38
14,26, 42
8, 16, 28
4,12,36
14, 20, 32
20, 26,54
18 a.b.
16,22
20(no graph),32,66
20,24,46,64
8,10,18,26,46
Friday, Jan 16
Friday, Jan 23
Friday, Jan 30
Friday, Feb 6
Friday, Feb 27
Friday, Mar 6
Friday, March 13
Friday, March 27
10
Thursday, April 3
12.1
13.1
13.2
13.3
14, 34
12,42
6, 50
4,14,22
Friday, April 10
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
1.
Assignments are due by 12pm on the posted date.
2.
Please use clean edged standard leter-size paper.
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. You must submit your assignment in the slot labelled
”Sunil Barran” no later than 12pm 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.
Lab Schedule (tentative, subject to change)
Week 1:
Week 2:
Week 3:
Section 6.3; Review of Substitution Rule and Integration by Parts
Trigonometric Integrals. Trigonometric Substitution.
Integration of Rational Functions by Partial Fractions. Approximate Integration
(Section 7.7 in the text).
Week 4: Improper Integrals.Arc Length and Surface Area .Quiz 1 on topics covered in weeks 2-3
Week 5: Differential Equations– Euler’s Method and Direction Fields (Section 9.2 in text)
Week 6:
Week 7:
Sequences; Series
Reading Week – no lab
Week 8:
Week 9:
The integral and the comparison tests. Quiz 2 on topics covered in weeks 4-6
Alternating series. Absolute Convergence and the Ratio and Root Tests.
Week 10: Power Series. Representation of Functions as Power Series.
Quiz 3 on topics covered in weeks 8-9
Week 11: Taylor and MacLaurin Series.
Week 12: Parametric Curves. Calculus with Parametric Curves.
Week 13: Polar Curves. Areas and Lengths in Polar Coordinates.
Quiz 4 on topics covered in weeks 11-12
Week 14: Vector Functions and Space Curves.
Template last updated: July 07, 2014