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DE MATH 127 : Calculus 1 for the SciencesFall 2011

Instructor: Barbara Forrest

Email: baforrest@math.uwaterloo.caOnline Office Hours:  Monday – Friday via email; on-campus office hours are not available

Course Description:

The Distance Education Math 127 course (Calculus I for the Sciences) is the online version of thecore first course in calculus offered to students at the University of Waterloo. It is intended to preparestudents to use calculus in a variety of applications in physics, chemistry and the life sciences. Thecourse is conceptual in nature with an emphasis on the role of approximation.

The course content consists primarily of 5 components:

1. The Course CD-ROM contains lecture material and administrative information. It is distributedby UW Center for Extended Learning/Distance Education.

2. The Lecture Notes are designed to augment the lectures. They are available for FREE on theCourse Web Site (You can download the notes each Monday under the Weekly Tasks link).

3. Maple Student Edition (version 15 or older versions 14, 13,12, or 11 will also work) is amathematical 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 ofthe Math Building). This software is required in order to complete the assignments.

4. The Course Web Site contains other resources including the course outline, online lecture notes,instructions to complete each module (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. Seewww.student.math.uwaterloo.ca/~math127.t/  

5. Course Textbook: Calculus: Early Transcendentals 7th Edition by James Stewart [Custom

Text + SV solutions manual]. Visit the UW Bookstore website for more information.

Textbook Note : If you can find a copy of an old textbook for the course, either  Calculus: Early Transcendentals5th 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 referencepages for both of these texts. Usually these older versions of the texts can usually be found at theUW Campus Used Book Store in the Student Life Center at a substantial discount.

Recommended Optional Text Materials: 

•  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 andrecommended problems.

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Topics:

 A detailed summary of the course contents is available on the course CD and in the WeeklyTasks section on the course web site. The general list of topics is:

Week 1 Introductions and High School Review

Week 2 Functions and SequencesWeek 3 Limits of FunctionsWeek 4 More on Limits of Functions and ContinuityWeek 5 Basic Properties of the DerivativeWeek 6 More on Derivatives and Midterm ReviewWeek 7 Higher DerivativesWeek 8 The Mean Value Theorem; AntiderivativesWeek 9 Applications of Differentiation; Areas Under CurvesWeek 10 Integrals and the Fundamental Theorem of CalculusWeek 11 Change of Variables; Approximating Definite IntegralsWeek 12  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 youmust complete: self check (ungraded), electronic (weight 20%) and projects (weight 15%).There are 12 electronic assignments and 2 projects 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.

In particular, no group work is permitted. Late assignments are not accepted. If you are unable tocomplete your assignment by the due date, you should submit whatever portion you have completed.

Electronic assignments must be completed each week (due Wednesdays) and sent to your instructor for grading (see the submission instructions on the electronic assignments for moreinformation). The electronic assignments are shorter in length and consist of multiple choice, shortanswer, true and false, etc.

Projects are longer in length and include Maple labs. They must be received at the DistanceEducation office by the due date (see your course website or the assignment instructions for duedates and details about where to mail/courier/drop-off these assignments).

Self check assignments are ungraded and should be completed every two weeks. The final exam questions will be similar to the questions found on these assignments.

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Final Exam 

The final exam is worth 65% of the final grade in this course and it is tentatively scheduled to bewritten on December 9 or December 10, 2011 (Distance Education will confirm your date andlocation 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% onthe final examination AND receive enough credit on the assignments to achieve a final gradeaverage of 50%. *Any student who achieves 50% or lower on their final exam will receive theirfinal 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 specificdetails of the final exam will be posted on the course website in approximately the 10th week of thecourse.

Communicating with your Instructor

DE Math 127 is offered as an online course. All interactions in the course are intended to beonline 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 UWDistance Education office (phone: 519-888-4050).

Using the Course Website (via the UW Course Management System):

The course website and your email account should be checked daily. The course website includesinformation such as lecture notes, a list of weekly tasks for course completion, announcements fromthe instructor, and assignments. Information about access to the course website is located at:

www.student.math.uwaterloo.ca/~math127.t/ 

HOW TO BEGIN THIS COURSE:

Logon to the UW Course Management System. Click on the DE Math 127 course link and read theposted announcements. To begin the course, click on the CONTENT tab, and then choose the link forWEEKLY TASKS. The instructions detailing how to complete the tasks for the first and subsequentweeks are available there...

Please see the Course at a Glance on the next page for specific assignment due dates.

WELCOME TO DE MATH 127! 

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Course at a Glance

DE Math 127

Course begins Monday, September 12, 2011 

Course Requirements and Due DatesWeek CD Modules

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 andFunctions, Elementary Functions and their Graphs

Electronic Assignment #1(weight 1%)

September 14,2011 

Electronic Assignment #2(weight 1%)

September 21,2011 

Week 2 Module 2.3-2.6: Functions and SequencesComposition of Functions, Transformation of Functions,

Inverse Functions, Sequences, Limits of Sequences Self Check #1 (ungraded) September 24,2011 

Week 3 Module 2.7-2.10: Limits of FunctionsLimits for Functions, Definition of a Limit, Arithmetic for Limits, One-Sided Limits

Electronic Assignment #3(weight 1%)

September 28,2011 

Electronic Assignment #4(weight 2%)

October 5, 2011 Week 4 Module 2.11-2.14: More on Limits of Functions andContinuitySqueeze Theorem, Fundamental Trig Limit, Limits atInfinity and Asymptotes, Continuity Self Check #2 (ungraded) October 8, 2011 

Week 5 Module 2.15-3.3: Basic Properties of the Derivative

Intermediate Value Theorem, Curve Sketching,Definition of a Derivative, Derivatives of ElementaryFunctions, Rules of Differentiation

Electronic Assignment #5

(weight 2%)

October 12, 2011 

Week 6 Module 3.4-3.7: Derivatives continued… andMidterm ReviewDerivatives of Inverse Functions, Implicit Differentiation,Linear Approximation, Newton's Method, SampleMidterm Exam

Electronic Assignment #6(weight 1%)

October 19, 2011 

Electronic Assignment #7(weight 2%)

October 26, 2011 Week 7 Module 3.8-3.11: Derivatives continued…Second Derivative and Concavity, Extreme Values,Local Maxima and Minima, 1st and 2nd Derivative Tests

Self Check #3 (ungraded) October 29, 2011 

Electronic Assignment #8(weight 2%)

November 2, 2011 Week 8 Module 3.12-3.15: The Mean Value Theorem andAntiderivativesMean Value Theorem, Applications of the MVT, CurveSketching, Antiderivatives

Project 1 (weight 6%) November 3, 2011

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Electronic Assignment #9(weight 2%)

November 9, 2011 Week 9 Module 4.1-5.1: Applications of Differentiation andAreas under CurvesL'Hôpital's Rule, Related Rates/Exponential Growth andDecay, Areas under Curves, Distance vs. Velocity Self Check #4 (ungraded) November 12, 2011

Week 10 Module 5.2-5.6: Integrals and the FundamentalTheorem of CalculusRiemann Sums and the Definite Integral, Properties of the Definite Integral, Average Value, The FundamentalTheorem of Calculus

Electronic Assignment#10 (weight 2%)

November 16,2011 

Electronic Assignment#11 (weight 2%)

November 23,2011 

Week 11 Module 5.7-6.1: Change of Variables andApproximating Definite IntegralsChange of Variables, Approximating Definite Integrals, Areas Between Curves Self Check #5 (ungraded) November 26, 2011

Electronic Assignment#12 (weight 2%)

November 30,2011

Week 12 Module 6.2: Applications of Integration and FinalExam ReviewDensity and Rate Functions, Final Exam Review

Project 2 (weight 9%)  December 1, 2011

Final Exam (65%)

Students writing outside of Waterloo - Saturday, December 10, 2011 [tentative]

Students writing on campus at UW will write at one of three sessions running on

December 9, 2011 or December 10, 2011 [tentative]; students do not choose which session.

**All students taking Distance Education courses, 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 four weeks before the exam date.