MacEwan University

Calculus I

Math 100 (BE 03)

Fall 2013

Instructor: Sunil Barran

Office:5-107B

Phone:780 497 5212

E-mail:

Website:Blackboard Learn

Office Hours: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 If it is discovered that you do not have the appropriate prerequisite for this course, you will be withdrawn by the Registrar’s Office.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 post-secondary 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

Other Learning Resources:The Math Help Centre in 5-206 is available to students in all Mathematics courses.

Evaluation:

Term Examination(s) / 40%
Final Examination* / 35%
Assignments / 15%
Lab(s) / 10%
100%

Examination Dates:

Term examination 1 Monday October 7th, 6pm – 7:30pm in 9-201

Term examination 2Monday November 4th, 6pm-7:30pm in 9-201

Final Examination*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+

/ 95-100

A

/ 90-94
A- / 85-89
B+ / 80-84
B / 75-79
B- / 70-74
C+ / 65-69
C / 60-64
C- / 55-59
D+ / 50-54
D / 45-49
F / 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.

Student Responsibilities:

Students are expected to be aware of their academic responsibilities as outlined in MacEwan University Policy E3101: Student Rights and Responsibilities (

  1. Academic Integrity: All forms of student dishonesty are considered unacceptable. MacEwan University Policy C1000: Academic Integrity ( 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.
  1. 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.
  1. 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.
  1. 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.
  1. 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.
  1. 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, ) 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 ) or Cristina Vocaturo, 497-5786, . For further information please refer to MacEwanUniversity Policy C2005: Final Assessment ( and Policy C2020: Grading ( 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.
  1. 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.
  1. 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).
  1. 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 (
  1. Student Appeals: The University has a policy regarding Student Appeals (E3103, 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.
  1. 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.
  1. 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.

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

6.3 Volumes by Cylindrical Shells

Week 14 Dec 2 – Dec 3

Review

Math 100 Assignment Schedule

Assignment # / Sections / Assignment Problems / Due Date
(due by 2pm)
1 / 1.3
1.5
1.6 / 18, 28, 36
2, 22
18, 26, 52, 70 / Sep 13
2 / 2.2
2.3
2.5
2.6 / 6, 12, 32
20, 26, 30
46, 56(a)
22, 26 / Sep 20
3 / 2.7
2.8
3.1
3.2 / 14, 32
6, 28
16, 30, 54
24, 44, 48 / Sep 27
4 / 3.3
3.4
3.5
3.6 / 16, 30, 48
36, 46
18, 28, 54
24, 50 / Oct 4
5 / 3.11
3.9
3.10
4.1 / 16, 32
28, 30
16, 30, 36
6, 40, 56 / Oct 18
6 / 4.2
4.3
4.4 / 6, 18, 20
28, 34, 48
26, 32, 48, 62 / Oct 25
7 / 4.5
4.7 / 14, 16, 22, 42, 48
8, 14, 28, 46, 62 / Nov 1
8 / 4.9
5.1
5.2 / 12, 42, 62
18, 20, 22
8, 24, 34, 36 / Nov 15
9 / 5.3
5.4
5.5 / 4, 30, 40, 58
16, 32, 38
18, 40, 68 / Nov 22
10
(Practice
Problems) / 7.1
6.1
6.2
6.3 / 6, 12, 22, 40
12, 14, 28
12, 14, 16
6, 10, 14, 18, 20 / 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.
  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 Barranno later than 2pm on the due date.
  7. If an assignment is not completed and delivered according to the aboveprocedure,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 onNewton’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 onApproximate 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.

1 / Template last updated: December 4, 2012