MATH 127 : Calculus 1 for the Sciences Winter 2014 (Online Section)

Winter 2014
MATH 127 Online
University of Waterloo
MATH 127 : Calculus 1 for the Sciences
Winter 2014 (Online Section)
Instructor:
Email:
Online Office Hours:
Barbara Forrest
[email protected]
Monday – Friday via email; on-campus office hours are not available
Course Description:
This section of the Math 127 course (Calculus I for the Sciences) is the online version of the core first course in
calculus offered to students at the University of Waterloo. It is intended to prepare students to use calculus in a
variety of applications in physics, chemistry and the life sciences. The course is conceptual in nature with an
emphasis on the role of approximation.
The course content consists primarily of 5 components:
The Course Web Site on Waterloo LEARN contains resources including the course outline, lectures,
lecture notes, instructions to complete each module (daily/weekly tasks), assignments, solutions,
sample exams, self-tests, and messages from the instructor. It is important that you check this site
regularly. You must know your UW userid and Quest password in order to access this site. See
learn.uwaterloo.ca for access.
The Course Lectures contain lecture material (Flash format) that would normally be presented in a
regular classroom. The course lectures are available for online viewing or FREE download from the
course web site.
The Lecture Notes are designed to augment the lectures. They are available for FREE on the course
web site. (You can download the notes each Monday under the Weekly Tasks link.)
Maple Student Edition (version 17 or older versions 16,15, 14, 13, 12, or 11 will also work) is a
mathematical software program that must be ordered from the UW Bookstore or, for on-campus
students, can be purchased through IST (located in the CHIP office in the basement of the Math
Building). This software is required in order to complete the assignments.
Course Textbook: Calculus: Early Transcendentals 7th Edition by James Stewart [Custom Text +
SV solutions manual]. Visit the UW Bookstore website for more information.
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Textbook Note:
If you can find a copy of an old textbook for the course, either Calculus: Early Transcendentals 5th Edition
or 6th Edition, or Calculus: Concepts and Contexts (Metric International Version), 3rd Edition by
James Stewart, you are welcome to use it since the weekly tasks also lists reference pages for both of these
texts. Usually these older versions of the texts can usually be found at the UW Campus Used Book Store in
the Student Life Center at a substantial discount.
Recommended Optional Text Materials (available through the UW Bookstore):
•
Student SOLUTIONS MANUAL for Early Transcendentals (Single Variable) by James Stewart
NOTE: Most students find the solutions manual VERY helpful as an aid to completing their assignments and
recommended problems.
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Created 24/01/2014
Winter 2014
MATH 127 Online
University of Waterloo
Topics:
A detailed summary of the course content is available in the Weekly Tasks section on the course web site. The
general list of topics is:
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Introductions and High School Review
Functions and Sequences
Limits of Functions
More on Limits of Functions and Continuity
Basic Properties of the Derivative
More on Derivatives and Midterm Review
Higher Derivatives
The Mean Value Theorem; Antiderivatives
Applications of Differentiation; Areas Under Curves
Integrals and the Fundamental Theorem of Calculus
Change of Variables; Approximating Definite Integrals
Applications of Integration; Final Exam Review
Final Grade Determination:
Assignments
35%
Final Exam
65%
Assignments
Assignments are weighted at 35% of your final grade. There are three types of assignments that you must complete: self
check (ungraded), weekly online (weight 25%) and one individual project (weight 10%). There are 12 online
assignments and 1 individual project that are included in your final grade calculation. Specific details about the
assignments are available on the Math 127 course website under the “Content” tab and then by clicking on the
“Assignments” link.
No group work is permitted on assignments. All assignments must be completed individually. Late assignments are
not accepted. If you are unable to complete your assignment by the due date, you should submit whatever portion you
have completed.
Online assignments must be completed each week (usually due Wednesdays) and sent to your instructor for grading
(see the submission instructions on the online assignments for more information). The online assignments are shorter in
length and consist of multiple choice, short answer, true and false, etc., and are meant to keep each student current with
the course content.
The Individual Project is longer in length and hand-written. The questions on the project are more challenging that those
found on the weekly online assignments and it is a good indicator of how well students have mastered the course
material. It must be received at the Centre for Extended Learning office by the due date near the end of the term (see
your course website or the assignment instructions for due dates and details about where to mail/courier/drop-off/fax the
project).
Self check assignments are not graded and should be completed every two weeks. Solutions to the self check
assignments are provided on the course web site. The final exam questions will be similar to the questions found on
these assignments.
Generated by Centre for Extended Learning
Created 24/01/2014
Winter 2014
MATH 127 Online
University of Waterloo
Final Exam
The final exam is worth 65% of the final grade in this course and it is tentatively scheduled to be
written on April 11th or April 12th, 2014. (The Centre for Extended Learning will confirm your
date and location during the term.) It is your responsibility to make yourself available on these
dates.
To receive a passing grade in the course, the student must achieve a grade of at least 50% on
the final examination AND receive enough credit on the assignments to achieve a final grade
average of 50%. *Any student who achieves 50% or lower on their final exam will receive their
final exam grade as their final grade for the course. Since there is only one exam in the course,
the content that the final exam covers will be cumulative. Further information concerning specific
details of the final exam will be posted on the course website in approximately the 10th week of the
course.
Communicating with your Instructor
This section of the Math 127 course is offered entirely online. All interactions in the course are
intended to be online and as such communication with your instructor is usually accomplished by
email.
No on-campus office hours are available. If there is an emergency, please contact the UW Centre
for Extended Learning office (phone: 519-888-4050).
Using the Course Website (via Waterloo LEARN Course Management System):
The course website and your email account should be checked daily. The course website includes
information such as lecture notes, a list of weekly tasks for course completion, announcements from
the instructor, and assignments. Information about access to the course website is located at:
learn.uwaterloo.ca
HOW TO BEGIN THIS COURSE:
Logon to the Waterloo LEARN Course Management System (learn.uwaterloo.ca). Click on the
Math 127 Online course link and read the posted announcements. To begin the course, click on the
COURSE MATERIALS tab, the CONTENT link, and then choose the link for WEEKLY TASKS. The
instructions detailing how to complete the tasks for the first and subsequent weeks are available
there...
Please see the Course at a Glance on the next page for specific assignment due dates.
Generated by Centre for Extended Learning
Created 24/01/2014
Winter 2014
MATH 127 Online
University of Waterloo
WELCOME TO THE ONLINE SECTION OF MATH 127!
Course at a Glance
Math 127 (Online Section)
Course begins Monday, January 6, 2014
Week
Modules
Course Requirements and Due Dates
Assignments and Online Assessments (35%)
Week 1
Module 1.1-2.2: Introductions and Review
What is Calculus?, Algebra and Geometry Review,
Trigonometry, Exponents, Logarithms, Relations and
Functions, Elementary Functions and their Graphs
Electronic Assignment #1
(weight 1%)
January 10, 2014
[Friday]
Week 2
Module 2.3-2.6: Functions and Sequences
Composition of Functions, Transformation of
Functions, Inverse Functions, Sequences, Limits of
Sequences
Electronic Assignment #2
(weight 2%)
January 15, 2014
[Wednesday]
Self Check #1 (not graded)
January 18, 2014
Week 3
Module 2.7-2.10: Limits of Functions
Limits for Functions, Definition of a Limit, Arithmetic
for Limits, One-Sided Limits
Electronic Assignment #3
(weight 2%)
January 22, 2014
Week 4
Module 2.11-2.14: More on Limits of Functions and
Continuity
Squeeze Theorem, Fundamental Trig Limit, Limits at
Infinity and Asymptotes, Continuity
Electronic Assignment #4
(weight 2%)
January 29, 2014
Self Check #2 (not graded)
February 1, 2014
Week 5
Module 2.15-3.3: Basic Properties of the Derivative
Intermediate Value Theorem, Curve Sketching,
Definition of a Derivative, Derivatives of Elementary
Functions, Rules of Differentiation
Electronic Assignment #5
(weight 2%)
February 5, 2014
Week 6
Module 3.4-3.7: Derivatives continued… and
Midterm Review
Derivatives of Inverse Functions, Implicit
Differentiation, Linear Approximation, Newton's
Method, Sample Midterm Exam
Electronic Assignment #6
(weight 2%)
February 12, 2014
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Created 24/01/2014
Winter 2014
Week 7
MATH 127 Online
Module 3.8-3.11: Derivatives continued…
Second Derivative and Concavity, Extreme Values,
Local Maxima and Minima, 1st and 2nd Derivative
Tests
University of Waterloo
Electronic Assignment #7
(weight 2%)
February 26, 2014
Self Check #3 (not graded)
March 1, 2014
Week 8
Module 3.12-3.15: The Mean Value Theorem and
Antiderivatives
Mean Value Theorem, Applications of the MVT, Curve
Sketching, Antiderivatives
Electronic Assignment #8
(weight 2%)
March 5, 2014
Week 9
Module 4.1-5.1: Applications of Differentiation and
Areas under Curves
L'Hôpital's Rule, Related Rates/Exponential Growth
and Decay, Areas under Curves, Distance vs. Velocity
Electronic Assignment #9
(weight 2%)
March 12, 2014
Self Check #4 (not graded)
March 15, 2014
Week 10
Module 5.2-5.6: Integrals and the Fundamental
Theorem of Calculus
Riemann Sums and the Definite Integral, Properties of
the Definite Integral, Average Value, The
Fundamental Theorem of Calculus
Electronic Assignment
#10 (weight 2%)
March 19, 2014
Week 11
Module 5.7-6.1: Change of Variables and
Approximating Definite Integrals
Change of Variables, Approximating Definite Integrals,
Areas Between Curves
Electronic Assignment
#11 (weight 2%)
March 26, 2014
Self Check #5 (not graded)
March 29, 2014
Electronic Assignment
#12 (weight 5%)
April 2, 2014
Project (weight 10%)
April 3, 2014
Week 12
Module 6.2: Applications of Integration and Final
Exam Review
Density and Rate Functions, Final Exam Review
Final Exam (65%)
Students writing outside of Waterloo - Saturday, April 12th, 2014 [tentative]
Students writing on campus at UW will write at one of three sessions running on
April 11, 2014 or April 12, 2014 [tentative]; students do not choose which session.
**All students taking ONLINE courses through the Centre For Extended Learning, including on-campus students,
must select an exam centre by the 3rd week of the term.**
Examination schedule details will be available on Quest approximately three weeks before the exam date.
Generated by Centre for Extended Learning
Created 24/01/2014