MTH211Section 7101, Analytical Geometry and Calculus III Online, Summer 2022
                          Instructor:   Biyong Luo
                          Phone & email:    508 910 6615   bluo@umassd.edu
                          Office:  Liberal Arts Building, Group I, # 396B
                          Sunday       Monday       Tuesday     Wednesday     Thursday      Friday       Saturday
                          Online        Online       Online       Online       Online       Online        Online
                        Coursework   Coursework    Coursework   Coursework   Coursework   Coursework    Coursework
                                      Office hours Office hours              Office hours Office hours
                                          by          TBA                       TBA           by
                                     Appointment                                         Appointment
                       Required Textbook & Webassign Account: Calculus — Early Transcendental Func-
                       tions, James Stewart, Cengage Learning, 8E edition, 2015,ISBN 9780357700013.
                       Except for the book, there is no additional material for this class. Since all the assignments will
                       be administered through WebAssign, It is important for the students to buy the textbook with the
                       WebAssign Access Code included and start online Quiz/HWs from Day 1 of the class.
                          Since some of the students enrolled in this class, may take other courses not only in Mathematics
                       but also in Physics and Chemistry adopting Cengage books, some of you may choose to buy the
                       CengageUnlimited subscription which allows students to pay once and get access to ALL of Cengage
                       Material and therefore the materials for all of their courses covered by Cengage. Here are the options:
                          • Cengage Unlimited one semester subscription ISBN: 9780357700006
                          • Cengage Unlimited one-year subscription ISBN: 9780357700013
                          • Cengage Unlimited two years subscription ISBN: 9780357700020
                          Go to http://www.umassd.edu/, select myUMassD at the top right corner, sign in using your
                       UMD email login information (you may need to contact CITS to have your umassd account for
                       email/coin/myCourses via IT Help, After login, select myCourses at the left under Quick Launch.
                       At myCourses dashboard, find and click MTH211-7101 course link. You would find resources and
                       materials about this course at myCourses site.
                       For the first time user of Webassign: You need to register via myCourses, then click any HWs
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           or the HW site, the system will lead to the register page, where you purchase and use the Access
           code to enroll in the Webassign course site (see Stu-quick-guide-ebassign for user name as UMD
           email account, institution as ”umassd”) .
           Course Description & Covering Topics: The third and the final semester of Calculus sequence.
           Anintroduction to multivariable and vector calculus. Topics cover 3-D analytical geometry, partial
           derivative, directional derivative, gradient and their applications, multiple integrals, parametric
           curves and surfaces, vector fields, line and surface integrals, Green’s theorem, flux and divergence,
           Stokes’ and the divergence theorems.
           Prerequisite & Credits:Calculus II (MTH 152 or MTH154, 4 credits).
           Course Credits: 4
           Course Objectives:
             • Use vector notation, find dot and cross product, recognize equations of lines and planes in two
              and three spaces, perform calculations of vector functions.
             • Understand limits, continuity and differentiability of functions of several variables, find the
              limits and partial derivatives by chain rule, interpret partial derivatives.
             • Introduce directional derivatives, gradients and leveled surface, solve problems of optimization
              problems of multi-variable functions.
             • Evaluate double and triple integrals, develop the ability to draw 3-D curves, set up the integrals
              and do the computations of iterated integrals by hand.
             • Apply multiple integrals to calculate areas, volumes, masses and centers of mass for standard
              regions and solids.
             • ChangefromCartesiancoordinatestopolar, cylindrical or spherical coordinates and vice versa,
              solve problems of changing variables in differentiation and multiple integrals.
             • Understand the concepts of vector calculus: gradient, curl, divergence, line and surface inte-
              grals, Green’s, Stokes’ and the divergence theorems.
           CommunicationPlanExpectationsforElectronicCommunicationPleaseuseemail*ONLY*when
           the subject is of a personal and confidential matter. If the question you ask is of a nature that is
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                        related to the course or even one other person in the course could benefit from the answer, post the
                        question in the appropriate discussion board forum at myCourses.
                        .
                           I check my email daily Monday through Sunday during normal business hours only. You can
                        expect a reply from me via email within 24 hours during the week.
                        I will also check the discussion forums daily during the week. I will post often during the first weeks
                        of the course and then drop off in Activity while expecting participants to fill any void. Rest assured,
                        however, I *will* be participating in what I hope will be lively discussions and will *always* reply
                        to any discussion comment directed specifically at me.
                        Time Considerations
                        Students should be prepared to spend a minimum of 4 hours a week on reading and on course
                        assignments. While you may feel that I’m displaying a lot of information to you on a weekly basis
                        remember that in a traditional “live” course you would be coming to class for 3 hours and then
                        spending an additional 4-8 hours (at least) outside of class on assignments and reading. In our
                        online course environment, my expectation is that you will be spending those 3 “class hours” on
                        your own, working on the concepts Substantive Participation in Online Discussion
                           • Ask insightful questions.
                           • Answer other people’s questions politely and positively.
                           • Make comments that are relevant to the course content and objectives.
                        Methods of Instruction
                        Final Grade Breakdown:
                                           Tests 1-4 each 10%              Quizzes 30%
                                            Final Exam 20%      Class Participation/Attendance 10%
                           ALL the required quizzes and exams given online must be completed based on pre-
                        requisites (mandatory): that is in order to be able to take Quiz 12.2, students have to achieve at least
                        a 60% or a higher score in Quiz 12.1, students have to take at least 60% or a higher score in Quiz
                        12.2 in order to take Quiz 12.3 and so on; similarly in order to take the Exam 1 at the end of Unit
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                         1, students have to score at least 60%in Quiz 13.3, and in order to take Quiz 14.2, they have to take
                         at least 60% in Exam 1. Students will have WKSheet practice problems for each subunit/section
                         they will cover.
                         1)   WKSheet Practice Problems:They will NOT be graded ALWAYS be open and available
                         to students to practice not only for the subunit quizzes and unit exams but also for the cumulative
                         final exam.
                         2)   Quizzes:Students have to take a quiz at the end of each subunit. Please read the following
                         directions that apply to each quiz: ach quiz will cover the topics students did learn in the sub-
                         unit,students will have two to three attempts to complete the quiz with 5 questions in 60 to 90
                         minutes.The quiz’s questions are similar to the WKSheet problems. Please solve all quiz problems
                         with high accuracy.
                         3)   UnitExamsandFinalExam:Studentswillhavetotakefourunitexamsandonefinalexam,
                         each at the end of each unit. Each exam will cover the topics students did learn in the unit. In
                         order to be able to take this exam, students have to take at least 60% in the last subunit quiz; Once
                         students start the exam, they must complete it in 120 minutes with 15 questions. Each problem
                         with two submissions, and students need to upload their work on Webassign before their second
                         submissions. Instruction for how to upload paper work will be posted in each exam’s description
                         in Webassign. Students are expected to finish all problems then submit it. All exam questions are
                         similar to quiz and homework practice problems.
                         4)   Final Exam: The final exam will cover the topics students did learn in Units 1, 2, 3 and
                         4;Students have to take at least 6% on exam unit 4 in order to take the final exam. Once students
                         start the exam, they must complete it in 180-230 minutes with 20-25 questions. Each problem
                         with two submissions, and students need to upload their work before their second submissions.on
                         Webassign. Final exam are similar to exam 1-4 and the homework practice problems in each unit.
                         Please answer all questions and then submit the final exam.
                         5)   Discussion Forum Assignment: At the of each unit, students will have a discussion forum
                         assignment - In order to have full credits in the category ”Class Participation/Attendance ” stu-
                         dents are expected to participate in the discussion forum by solving all the exercises proposed by
                         instructor. Everyone has to answer or post at least one question in the discussion forum for each
                         subunit.
                         Please submit the discussion forum assignments and ALL the other assignments on-
                         time! Late assignments will be deducted by a 10% score daily within one week from the due date.
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