MATH 1000

Differential & Integral Calc I

Dalhousie University

This course offers a self-contained introduction to differential and integral calculus. The topics include functions, limits, differentiation of polynomial, trigonometric, exponential and logarithmic functions, product, quotient and chain rules, applications of differentiation, antiderivatives and definite integrals, integration by substitution. A sequel to this course is MATH 1010.03. The XY version of this course covers the same material, but the course duration is spread over the Fall and Winter term. The format of the XY course (1.5 hour workshops twice a week, and the smaller class size) allows for a more interactive learning environment than in a regular lecture format.
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Robert Noble

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Mathematics
MATH 1000
Robert Noble

MATH 1000 Syllabus for Robert Noble — Fall 2018

Faculty of Science Course Syllabus
Department of Mathematics and Statistics
Math 1000
Differential & Integral Calculus I
Fall 2018
Instructors
Lecture Section Instructor E-mail Address Office Location
1 Rob Noble [email protected] CHASE 205
2 Keith Johnson [email protected] CHASE 313
3 Keith Johnson [email protected] CHASE 313
4 Rob Noble [email protected] CHASE 205
5 Keith Johnson [email protected] CHASE 313
Lectures
Lecture Section Days Time Location
1 MWF 1:35 PM – 2:25 PM CHEMISTRY 125
2 MWF 8:35 AM – 9:25 AM LSC-COMMON AREA C242
3 MWF 9:35 AM – 10:25 AM CHEMISTRY 125
4 MWF 12:35 PM – 1:25 PM SIR JAMES DUNN 117
5 TR 8:35 AM – 9:55 AM LSC-COMMON AREA C236
Tutorials
1 hour per week, commencing the week of September 17, 2018.
Course Description
This course offers a self-contained introduction to differential and integral calculus. The topics include functions, limits,
differentiation of polynomial, trigonometric, exponential and logarithmic functions, product, quotient and chain rules,
applications of differentiation, antiderivatives and definite integrals, integration by substitution. A sequel to this course
is MATH 1010.03.
Course Prerequisites
Nova Scotia Mathematics advanced 11 and 12 or pre-calculus. Pre-calculus is highly recommended.
Course Objectives/Learning Outcomes
Understand the significance of limits, continuity, differentiability and integrability of functions.
Understand the connection between differentiation and integration given by the Fundamental Theorem of Calculus.
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Understand the significance of the Intermediate Value Theorem as well as the Mean Value Theorem / Rolle’s
Theorem.
Be able to sketch a reasonably accurate graph of a given function by hand, using calculus.
Be able to use calculus to solve optimization and related rates problems.
Be able to compute derivatives as well as basic integrals.
Course Materials
Textbook: Single Variable Calculus – Early Transcendentals, Eighth Edition, by James Stewart. This textbook will
also be used in Math 1010.
Brightspace: This course has a major presence on Brightspace. To access your Math 1000 course on Brightspace
you may login to: https://dal.brightspace.com/d2l/login. Alternatively, you can select the OWL link that
appears on the Dalhousie homepage (http://www.dal.ca). It is important that you familiarize yourself with the
systems requirement for proper access to Brightspace.
You will need at various times to gain information from different areas of Brightspace. Most importantly:
1. The course outline as well as links to the online assignments can be found under Content.
2. Your grades can be found under Assessments.
Webwork: Your online assignments will appear in webwork, accessed through links appearing under Content in
BrightSpace.
Resources
Dr. Noble’s course notes will be available under Content on BrightSpace.
Math & Stats Student Resource Centre (Room 119, first floor of the Chase Building). A calculus tutor will be
available on weekdays and evenings on a first come, first served basis, free of charge. There are large tables where
you can work together (on Math or Stats only, please). To see the current schedule, please visit the Resource Centre’s
webpage http://www.dal.ca/faculty/science/math-stats/about/learning-centre.html.
Course Assessment
The Final Grade will be computed as the maximum of the grades obtained from the following two schemes:
Scheme I:
Component Weight (% of final grade) Date
Tutorial Quizzes 15% Weekly
Midterm Exam 25% November 2, 2018 (7:00 PM – 9:00 PM)
Final Exam 50% (Scheduled by Registrar)
Online Assignments 10% 3 per week
Scheme II:
Component Weight (% of final grade) Date
Tutorial Quizzes 15% Weekly
Final Exam 75% (Scheduled by Registrar)
Online Assignments 10% 3 per week
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Note: It is strongly recommended that you prepare yourself to be graded on the first scheme; the sec-
ond scheme is included in order to accommodate students who fail to perform up to their ability on the
midterm due to circumstances beyond their control.
Conversion of numerical grades to Final Letter Grades follows the Dalhousie Common Grade Scale
A+: (90–100) A: (85–89) A-: (80–84)
B+: (77–79) B: (73–76) B-: (70–72)
C+: (65–69) C: (60–64) C-: (55–59)
D: (50–54) F: (<50)
Course Policies
Missed quizzes, midterms or final exams can be made up for documented illness or upon receipt of equivalent proof
of inability to write at the scheduled time.
If the university is closed on a particular day of a given week, due to a holiday, then all tutorials for that week will
be cancelled.
On exams, we recommend that answers be left in unsimplified form.
Calculators will NOT be allowed during tutorial quizzes, the midterm or the final examination. In fact, only writing
utensils (pencils, lead, erasers, pens, white-out) will be allowed.
Information about the course may be given during class. It is the responsibility of the students to ensure that they
are made aware of what occurs during classes.
Course Content
The material to be covered consists of the contents of Chapters 2 – 5 of the text book. Specifically, we will try to stick to
the following lecture schedule:
Date Topic
September 5, 7 Tangents, Velocity, Limits (§2.1, 2.2)
September 10 – 14 Limit Laws, Continuity, Limits at Infinity (§2.3, 2.5, 2.6)
September 17 – 21 The Derivative, Differentiation Rules (§2.7, 2.8, 3.1)
September 24 – 28 Differentiation Rules (cont’d) (§3.2, 3.3, 3.4)
October 1 Last day to drop without a “W”
October 1 – 5 Implicit Differentiation, Derivatives of Logarithmic Functions,
Logarithmic Differentiation (§3.5, 3.6)
October 8 Thanksgiving (No class)
October 10, 12 Rates of Change in Science, Exponential Growth and Decay (§3.7, 3.8)
October 15 – 19 Related Rates, Linear Approximations, Max/Min Problems (§3.9, 3.10, 4.1)
October 22 – 26 Mean Value Theorem, Graphing (§4.2, 4.3)
October 29 L’Hospital’s Rule (§4.4)
October 31 Last day to drop with a “W”
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Date Topic
October 31 Graphing (cont’d) (§4.5)
November 2 Midterm Review / “Catch-up” Time
November 2 Midterm 7:00 PM – 9:00 PM (Up to and including §4.1)
November 4 Midterm Make-up Exam 1:30 PM – 3:30 PM
November 5 – 9 Optimization Problems, Antiderivatives, Area Under a Curve (§4.7, 4.9, 5.1)
November 12 – 16 Fall Study Break (No class)
November 19 – 23 Definite Integrals, Fundamental Theorem of Calculus (§5.2, 5.3)
November 26 – 30 Indefinite Integrals, The Substitution Rule (§5.4, 5.5)
December 3, 4* Final Exam Review / “Catch-up” Time
*Note that classes on Tuesday, December 4 will follow a Monday schedule.
University Policies and Statements
This course is governed by the academic rules and regulations set forth in the University Calendar and
by Senate.
Academic Integrity
At Dalhousie University, we are guided in all of our work by the values of academic integrity: honesty, trust, fairness,
responsibility and respect (The Center for Academic Integrity, Duke University, 1999). As a student, you are required
to demonstrate these values in all of the work you do. The University provides policies and procedures that every
member of the university community is required to follow to ensure academic integrity.
Information:
https://www.dal.ca/dept/university_secretariat/academic-integrity.html
Accessibility
The Advising and Access Services Centre is Dalhousie’s centre of expertise for student accessibility and accommo-
dation. The advising team works with students who request accommodation as a result of a disability, religious
obligation, or any barrier related to any other characteristic protected under Human Rights legislation (Canada and
Nova Scotia).
Information:
https://www.dal.ca/campus_life/academic-support/accessibility.html
Student Code Of Conduct
Everyone at Dalhousie is expected to treat others with dignity and respect. The Code of Student Conduct allows
Dalhousie to take disciplinary action if students don’t follow this community expectation. When appropriate,
violations of the code can be resolved in a reasonable and informal manner-perhaps through a restorative justice
process. If an informal resolution can’t be reached, or would be inappropriate, procedures exist for formal dispute
resolution.
Code:
https://www.dal.ca/dept/university_secretariat/policies/student-life/code-of-student-conduct.html
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Diversity and Inclusion - Culture of Respect
Every person at Dalhousie has a right to be respected and safe. We believe inclusiveness is fundamental to education.
We stand for equality. Dalhousie is strengthened in our diversity. We are a respectful and inclusive community. We
are committed to being a place where everyone feels welcome and supported, which is why our Strategic Direction
prioritizes fostering a culture of diversity and inclusiveness.
Statement:
http://www.dal.ca/cultureofrespect.html
Recognition of Mi’kmaq Territory
Dalhousie University would like to acknowledge that the University is on Traditional Mi’kmaq Territory. The Elders
in Residence program provides students with access to First Nations elders for guidance, counsel and support. Visit
or e-mail the Indigenous Student Centre (1321 Edward St) ([email protected]).
Information:
https://www.dal.ca/campus_life/communities/indigenous.html
Important Dates in the Academic Year (including add/drop dates)
https://www.dal.ca/academics/important_dates.html
University Grading Practices
https://www.dal.ca/dept/university_secretariat/policies/academic/grading-practices-policy.html
Missed or Late Academic Requirements due to Student Absence (policy)
https://www.dal.ca/dept/university_secretariat/policies/academic/missed-or-late-academic-requirements-
due-to-student-absence.html
Student Resources and Support
Advising
General Advising: https://www.dal.ca/campus_life/academic-support/advising.html
Science Program Advisors: https://www.dal.ca/faculty/science/current-students/academic-advising.
html
Indigenous Student Centre: https://www.dal.ca/campus_life/communities/indigenous.html
Black Advising Centre: https://www.dal.ca/campus_life/communities/black-student-advising.html
International Centre: https://www.dal.ca/campus_life/international-centre/current-students.html
Academic supports
Library: https://libraries.dal.ca/
Writing Centre: https://www.dal.ca/campus_life/academic-support/writing-and-study-skills.html
Studying for Success: https://www.dal.ca/campus_life/academic-support/study-skills-and-tutoring.html
Copyright Office: https://libraries.dal.ca/services/copyright-office.html
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Fair Dealing Guidelines https://libraries.dal.ca/services/copyright-office/fair-dealing.html
Other supports and services
Student Health & Wellness Centre: https://www.dal.ca/campus_life/health-and-wellness/services-support/
student-health-and-wellness.html
Student Advocacy: https://dsu.ca/dsas
Ombudsperson: https://www.dal.ca/campus_life/safety-respect/student-rights-and-responsibilities/
where-to-get-help/ombudsperson.html
Safety
Biosafety: https://www.dal.ca/dept/safety/programs-services/biosafety.html
Chemical Safety: https://www.dal.ca/dept/safety/programs-services/chemical-safety.html
Radiation Safety: https://www.dal.ca/dept/safety/programs-services/radiation-safety.html
Scent-Free Program
https://www.dal.ca/dept/safety/programs-services/occupational-safety/scent-free.html
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