Potocki-Dul, M.

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Digital Commons @ New Jersey Institute of Technology (NJIT)

New Jersey Institute of TechnologyDigital Commons @ NJITMathematical Sciences Syllabi NJIT SyllabiFall 2019MATH 211-101: Calculus III AM. Potocki-DulFollow this and additional works at: https://digitalcommons.njit.edu/math-syllabiThis Syllabus is brought to you for free and open access by the NJIT Syllabi at Digital Commons @ NJIT. It has been accepted for inclusion inMathematical Sciences Syllabi by an authorized administrator of Digital Commons @ NJIT. For more information, please contactdigitalcommons@njit.edu.Recommended CitationPotocki-Dul, M., "MATH 211-101: Calculus III A" (2019). Mathematical Sciences Syllabi. 75.https://digitalcommons.njit.edu/math-syllabi/75MATH 211: Calculus III AFall 2019 Course SyllabusNJIT Academic Integrity Code: All Students should be aware that the Department of Mathematical Sciencestakes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means thatthere must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or anyform of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligatedto report any such activities to the Instructor.COURSE INFORMATIONCourse Description: Topics include vectors, curvature, partial derivatives, multiple integrals, line integrals, andGreen's theorem. Students who are considering a major in Mathematical Sciences or who are undecided abouttheir major should take MATH 213.Number of Credits: 3Prerequisites: MATH 112 with a grade of C or better or MATH 133 with a grade of C or better.Course-Section and InstructorsCourse-Section InstructorMath 211-001 TBAMath 211-003 Professor J. ZaleskiMath 211-005 TBAMath 211-007 Professor M. BootyMath 211-009 Professor R. KellyMath 211-013 Professor M. BootyMath 211-017 Professor J. H. Ro  Math 211-027 Professor M. Potocki-DulMath 211-029 Professor S. JiangMath 211-101 Professor M. Potocki-DulMath 211-103 Professor S. Jiang Office Hours for All Math Instructors: Fall 2019 Office Hours and EmailsRequired Textbook:Title Thomas' Calculus: Early TranscendentalsAuthor Hass, Heil, and WeirEdition 14thPublisher PearsonISBN # 978-0134768496Notes w/ MyMathLabUniversity-wide Withdrawal Date:The last day to withdraw with a W is Monday, November 11, 2019. It will bestrictly enforced.COURSE GOALSCourse ObjectivesApply previously developed skills learned in calculus of a single variable to the learning of multivariable calculusand vectors.Topics include: vectors, partial derivatives, multiple integrals and vector fields.An understanding of vector calculus prepares students for further study in technological disciplines and moreadvanced mathematics courses.Cover relevant applications in science and engineering to illustrate the utility of learning these topics.Use mathematical software in problem solving to allow the solution of more complex problems and to providevisualization of mathematical concepts in three dimensions.Course OutcomesPrepare students for further study in technological disciplines and more advanced mathematics courses.Illustrate the utility of learning multivariable calculus to solve problems in engineering and the sciences.Demonstrate mastery of the topics covered by testing with common exams and common grading.POLICIESDMS Course Policies: All DMS students must familiarize themselves with, and adhere to, the Department ofMathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policiesvery seriously and enforces them strictly.Grading Policy: The final grade in this course will be determined as follows:Homework and Quizzes 20%Common Midterm Exam I 25%Common Midterm Exam II 25%Final Exam 30%Your final letter grade will be based on the following tentative curve.A 90 - 100 C 60 - 66B+ 81 - 89 D 57 - 59B 74 - 80 F 0 - 56C+ 67 - 73Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read andfully understand the Math Department’s Attendance Policy. This policy will be strictly enforced.Homework and Quiz Policy: The homework assignments are in the syllabus and online. In order to do theassignments you need to have a student access code for MyMathLab. You can get an access code with a newbook purchase that is bundled with MyMathLab or by buying the access code separately at the campusbookstore. If you buy a new book from another source make sure it is bundled with MyMathLab. In addition, onthe first day of class your course instructor will give you a further code that is needed to access the homeworkassignments.Each week a short quiz will be given online or in class based on the homework problems and material coveredduring the previous week. All of the quizzes will be graded. The homework and quizzes are intended to developyour problem-solving skills and to prepare you for the exams. The quiz and homework grades will be asignificant component of your course grade.How to Get Started with MyMathLab:http://m.njit.edu/Undergraduate/UG-Files/MML_Getting_Started.pdfhttp://m.njit.edu/Undergraduate/UG-Files/Technology_Tips.pdfExams: There will be two common midterm exams held during the semester and one comprehensive commonfinal exam. Exams are held on the following days:Common Midterm Exam I October 2, 2019Common Midterm Exam II November 13, 2019Final Exam Period December 14 - 20, 2019The time of the midterm exams is 4:15-5:40 PM for daytime students and 5:45-7:10 PM for evening students.The final exam will test your knowledge of all the course material taught in the entire course. Make sure youread and fully understand the Math Department's Examination Policy. This policy will be strictly enforced.Makeup Exam Policy: To properly report your absence from a midterm or final exam, please review and followthe required steps under the DMS Examination Policy found here:http://math.njit.edu/students/policies_exam.phpCellular Phones: All cellular phones and other electronic devices must be switched off and put away during allclass times.ADDITIONAL RESOURCESMath Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Fall 2019 Hours)Accommodation of Disabilities: Disability Support Services (DSS) offers long term and temporaryaccommodations for undergraduate, graduate and visiting students at NJIT.If you are in need of accommodations due to a disability please contact Chantonette Lyles, Associate Director ofDisability Support Services at 973-596-5417 or via email at lyles@njit.edu. The office is located in Fenster HallRoom 260. A Letter of Accommodation Eligibility from the Disability Support Services office authorizing youraccommodations will be required.For further information regarding self identification, the submission of medical documentation and additionalsupport services provided please visit the Disability Support Services (DSS) website at:https://www.njit.edu/studentsuccess/accessibility/Important Dates (See: Fall 2019 Academic Calendar, Registrar)Date Day EventSeptember 3, 2019 T First Day of ClassesSeptember 13, 2019 M Last Day to Add/Drop ClassesNovember 11, 2019 M Last Day to WithdrawNovember 26, 2019 T Thursday Classes MeetNovember 27, 2019 W Friday Classes MeetNovember 28 - December 1, 2019 R - Su Thanksgiving RecessDecember 11, 2019 W Last Day of ClassesDecember 12 & 13, 2019 R & F Reading DaysDecember 14 - 20, 2019 Sa - F Final Exam PeriodCourse OutlineLecture Section Topic HW Assignment1 12.1- 3-Dimensional Coordinate Systems and p. 717: 13, 21, 26, 37, 55, 6112.2 Vectors p. 726: 7, 13, 15, 17, 25, 29, 33, 39, 45, 492 12.3 Dot Product p. 734: 3, 7, 11, 13, 16, 26, 29, 30, 43, 453 12.4 Cross Product p. 741: 7, 15, 18, 21, 23, 25, 39, 43, 46, 484 12.5 Lines and Planes in Space p. 749: 3, 9, 17, 23, 27, 29, 35, 41, 55, 57, 63,65, 695 12.6 Cylinders and Quadric Surfaces p. 755: 7, 9, 11, 14, 19, 23, 33, 416 13.1 Curves and Tangents in Space p. 770: 5, 11, 13, 15, 19, 25, 26, 387 13.2 Integrals of Vector Functions: ProjectileMotionp. 777: 1, 7, 11, 17, 21, 23, 25, 29, 318 13.3 Arc Length of Space Curves p. 784: 1, 6, 7, 11, 13, 14, 189 * REVIEW FOR EXAM 1 ***** COMMON EXAM 1: WEDNESDAY, OCTOBER 2,201910 14.1 Functions of Several Variables p. 812: 5, 11, 13, 14, 19, 23, 25, 27, 39, 49, 53,59, 6111 14.3 Partial Derivatives p. 832: 5, 13, 17, 23, 25, 31, 37, 43, 48, 57, 68,75, 77, 85, 89, 9312 14.4 The Chain Rule p. 842: 3, 5, 7, 9, 27, 31, 33, 37, 39, 41, 5213 14.5 Directional Derivatives and Gradients p. 852: 5, 9, 11, 15, 17, 19, 23, 27, 31, 33, 37,3814 14.6 Tangent Planes and Differentials p. 860: 1, 5, 11, 17, 21, 23, 31, 43, 45, 51, 54,5515 14.7 Extrema and Saddle Points p. 870: 3, 7, 19, 21, 27, 31, 35, 41, 51, 53, 5916 14.8 Lagrange Multipliers p. 879: 3, 7, 13, 17, 21, 23, 25, 30, 3117 15.1 Double and Iterated Integrals over Rectangles p. 901: 3, 9, 10, 11, 19, 21, 23, 29, 3118 15.2- Double Integrals over General Regions and p. 909: 7, 13, 15, 35, 39, 43, 49, 51, 53, 5715.3  Area by Double Integration p. 914: 3, 9, 11, 2119 15.4 Double Integrals in Polar Form p. 919: 7, 11, 13, 17, 23, 25, 29, 3720 15.5- Triple Integrals in Rectangular Coordinatesandp. 929: 7, 11, 15, 23, 25, 27, 31, 3315.6 Moments and Center of Mass p. 939: 3, 4, 1321 * REVIEW FOR EXAM 2 ***** COMMON EXAM 2: WEDNESDAY, NOVEMBER 13,201922 15.7 Triple Integrals in Cylindrical Coordinates p. 949: 25, 29, 31, 33, 39, 41, 65, 77, 79, 8123 16.1 Line Integrals p. 974: 7, 9, 11, 15, 19, 21, 23, 29, 3324 16.2 Vector Fields and Line Integrals: Work,Circulation and Fluxp. 986: 9, 11, 15, 19, 21, 23, 25, 27, 29, 3325 16.3 Path Independence, Conservative Fields andPotential Functionsp. 998: 3, 7, 9, 15, 19, 21, 23, 27, 29 26, 27 16.4  Green's Theorem in the Plane p. 1010:  3, 11, 13, 15, 17, 19, 21, 23, 25, 27,29, 31, 32, 34, 3928 ** REVIEW FOR FINAL EXAM ******** FINAL EXAMS: DECEMBER 14-20, 2019 *******Updated by Professor M. Booty - 8/21/2019Department of Mathematical Sciences Course Syllabus, Fall 2019

MATH 211-101: Calculus III A

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MATH 211-101: Calculus III A

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