Winter 2015 MATH 128 Online University of Waterloo MATH 128 : Calculus 2 for the Sciences Winter 2015 (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 Math 128 (Calculus 2 for the Sciences) is the online version of the core second course in calculus offered to students at the University of Waterloo. It is intended as a continuation of the study of 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: 1. The Course Web Site on Waterloo LEARN contains resources including the course syllabus, online lecture notes, instructions to complete each module (daily/weekly tasks), assignments, solutions, sample exams, and NEWS 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 information. 2. 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 download from the course web site. 3. 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.) 4. Maple version 18 Student Edition (version 17, 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 students located oncampus, can be purchased through IST. Maple is also available for FREE use in some computer labs oncampus (see your faculty computing office). This software is required to complete the assignments. 5. Course Textbook: Calculus: Early Transcendentals 7th Edition by James Stewart. Visit the UW Bookstore web site for more information. 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): 1. Student Solutions Manual (Single Variable) 2. Student Solutions Manual (Multi-Variable)***[strongly recommended] NOTE: Most students find the solution manuals VERY helpful as an aid to completing their assignments and recommended problems. Generated by Centre for Extended Learning Created 22/01/2015 Winter 2015 MATH 128 Online University of Waterloo Topics: A detailed summary of the course contents 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 Differentiation/Integration Review Integration continued… Applications of Integration and Introduction to Differential Equations More on Differential Equations and Review of Sequences Sequences continued… and Introduction to Series Series continued… Power Series Taylor Series Curves Curves continued… Polar Coordinates and Polar Curves Areas and Lengths of Polar Curves and 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 20%) and projects (weight 15%). There are 12 weekly online assignments and 2 projects that are included in your final grade calculation. Specific details about the assignments are available under the "Assignments" link of the course web site. In particular, no group work is permitted. 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 Wednesdays) and sent to your instructor for grading through LEARN (see the submission instructions on the first page of each online assignment for more information). The online assignments are shorter in length and consist of multiple choice, short answer, true and false, etc. Projects are longer in length and include Maple labs. They must be received at the Centre for Extended Learning office by the due date (see your course website or the project instructions for due dates 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. Generated by Centre for Extended Learning Created 22/01/2015 Winter 2015 MATH 128 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 10 or April 11, 2015. (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/projects to achieve a final grade average of 50%. *Any student who achieves 50% or lower on their final exam will receive the 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 web site in approximately the 10th week of the course. Communicating with your Instructor This section of Math 128 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 the UW LEARN Course Management System): The course web site 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, NEWS announcements from the instructor, and assignments. Information about access to the course website is located at: learn.uwaterloo.ca HOW TO BEGIN THIS COURSE: Login to the UW LEARN Course Management System (learn.uwaterloo.ca) using your Quest ID and password. Click on the Math 128 Online course link and read the posted NEWS announcements. To begin the course, click the COURSE MATERIALS tab, click on 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. WELCOME TO THE ONLINE SECTION OF MATH 128! Generated by Centre for Extended Learning Created 22/01/2015 Winter 2015 MATH 128 Online University of Waterloo Course at a Glance Math 128 (CEL - Online Section) Course begins Monday, January 5, 2015 Week Modules Course Requirements and Due Dates Assignments and Online Assessments (35%) Week 1 Module 1.1-2.8: Introductions and Review Review: Trigonometry, Exponents, Logarithms, Functions and their Graphs; Differentiation and Integration Review Online Assignment #1 (weight 1%) January 9, 2015 [FRIDAY] Week 2 Module 2.9-2.12: Integration continued.... Inverse Trig Substitutions, Integration by Parts, partial fractions, Improper Integrals Online Assignment #2 (weight 1%) January 14, 2015 [WEDNESDAY] Self Check #1 (not graded) January 17, 2015 Week 3 Module 2.13-3.2: Applications of Integration and Introduction to Differential Equations Volumes of Revolution, Arc Length, Introduction to DEs, Separable DEs Online Assignment #3 (weight 1%) January 21, 2015 Week 4 Module 3.3-4.1: Differential Equations continued...and Review of Sequences First Order Linear DEs, Initial Value Problems, Qualitative Solutions for DEs, Exponential Growth and Decay, Review of Sequences and their Limits Online Assignment #4 (weight 2%) January 28, 2015 Self Check #2 (not graded) January 31, 2015 Week 5 Module 4.2-4.3: Sequences continued... and Introduction to Series Monotone Convergence Theorem, Introduction to Series, Positive Series, Integral Test Online Assignment #5 (weight 2%) February 4, 2015 Week 6 Module 4.3: Series continued... Alternating Series, Absolute vs. Conditional Convergence, Ratio Test, Sample Midterm Exam Online Assignment #6 (weight 2%) February 11, 2015 FAMILY DAY / UNIVERSITY CLOSED MONDAY FEBRUARY 16, 2015 READING WEEK TUESDAY FEBRUARY 17 – 20TH Week 7 Module 4.4: Power Series Introduction to Power Series, Finding the Radius of Convergence, Functions Represented by Power Series, Differentiation of Power Series, Integration of Power Series Project 1 (weight 7%) February 24, 2015 [TUESDAY by NOON] Online Assignment #7 (weight 2%) February 25, 2015 Self Check #3 (not graded) February 28, 2015 Generated by Centre for Extended Learning Created 22/01/2015 Winter 2015 MATH 128 Online University of Waterloo Week 8 Module 4.5: Taylor Series Introduction to Taylor Polynomials and Approximation, Taylor's Theorem and Errors in Approximations, Convergence of Taylor Series, Applications of Taylor Series Online Assignment #8 (weight 2%) March 4, 2015 Week 9 Module 5.1-5.2: Curves Review of Vectors; Parametric Representations of Curves; Introduction to Vector Valued Functions; Limits and Continuity of Vector Valued Functions Online Assignment #9 (weight 2%) March 11, 2015 Self Check #4 (not graded) March 14, 2015 Week 10 Module 5.3-5.6: Curves continued Derivatives of Vector Valued Functions; Linear Approximation for Vector Valued Functions; Arc Length of a Curve Online Assignment #10 (weight 1%) March 18, 2015 Week 11 Module 5.7-5.9: Polar Coordinates and Polar Curves Introduction to Polar Coordinates and Polar Curves Online Assignment #11 (weight 2%) March 25, 2015 Self Check #5 (not graded) March 28, 2015 Project 2 (weight 8%) March 31, 2015 [TUESDAY by NOON] Online Assignment #12 (weight 2%) April 6, 2015 [MONDAY Last Day Term] Week 12 Module 5.10: Areas and Lengths of Polar Curves...and Final Exam Review Areas between Polar Curves; Lengths of Polar Curves; Final Exam Review. (OPTIONAL) Chapter 6 “Functions of Two Variables” is no longer in the Math 128 curriculum. The lectures and course notes for this module are optional and will not be covered on the final exam. Final Exam (65%) Students writing outside of Waterloo - Saturday, April 11, 2015 [tentative] Students writing on campus at UW will write at one of three sessions running on April 10, 2015 or April 11, 2015 [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 four weeks before the exam date. Generated by Centre for Extended Learning Created 22/01/2015
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