Barreto-Aranda, V.

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New Jersey Institute of TechnologyDigital Commons @ NJITMathematical Sciences Syllabi NJIT SyllabiFall 2019MATH 112-003: Calculus IIV. Barreto-ArandaFollow 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 CitationBarreto-Aranda, V., "MATH 112-003: Calculus II" (2019). Mathematical Sciences Syllabi. 48.https://digitalcommons.njit.edu/math-syllabi/48MATH 112: Calculus IIFall 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, orany form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students areobligated to report any such activities to the Instructor.COURSE INFORMATIONCourse Description: Topics include integration, applications of integration, series, exponential andlogarithmic functions, transcendental functions, polar coordinates, and conic sections.Number of Credits: 4Prerequisites: MATH 111 with a grade of C or better or MATH 132 with a grade of C or better.Course-Section and InstructorsCourse-Section InstructorMath 112-001 Professor V. Barreto-ArandaMath 112-003 Professor V. Barreto-ArandaMath 112-005 Professor R. KellyMath 112-009 Professor R. KellyMath 112-011 Professor P. PetropoulosMath 112-013 Professor J. ZaleskiMath 112-015 Professor J. ZaleskiMath 112-017 Professor J. RatnaswamyMath 112-019 Professor R. BouayadMath 112-023 Professor N. TsipenyukMath 112-029 Professor J. PorusMath 112-101 Professor A. NoorMath 112-103 Professor H. BehzadpourOffice Hours for All Math Instructors: Fall 2019 Office Hours and EmailsRequired Textbook:Title Thomas' Calculus: Early TranscendentalsAuthor Hass, Heil, and WeirEdition 14thPublisher PearsonISBN # 978-0134768496University-wide Withdrawal Date:The last day to withdraw with a W is Monday, November 11, 2019. It willbe strictly enforced.COURSE GOALSCourse ObjectivesStudents should (a) develop greater depth of understanding of integration and its importance in scientific andengineering applications, (b) learn about series, including their convergence properties and their use inrepresenting functions, (c) gain experience in the use of approximation in studying mathematical and scientificproblems and the importance of mathematically understanding and evaluating the accuracy of approximations,(d) learn new ways of mathematically representing curves and how to use calculus in these settings, and (e)learn alternative coordinate systems which are natural for many problems and learn how calculus can beapplied in these systems.Students should gain an appreciation for the importance of calculus in scientific, engineering, computer, andother applications.Students should gain experience in the use of technology to facilitate visualization and problem solving.Course OutcomesStudents have improved logical thinking and problem-solving skills.Students have a greater understanding of the importance of calculus in science and technology.Students are prepared for further study in mathematics as well as science, engineering, computing, and otherareas.Course Assessment: The assessment of objectives is achieved through homeworks, quizzes, and commonexaminations with 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:Quizzes and HW 17%Common Midterm Exam I 17%Common Midterm Exam II 17%Common Midterm Exam III 17%Final Exam 32%Your final letter grade will be based on the following tentative curve.A 88 - 100 C 66 - 71B+ 83 - 87 D 60 - 65B 77 - 82 F 0 - 59C+ 72 - 76Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you readand fully understand the Math Department’s Attendance Policy. This policy will be strictly enforced. Studentsare expected to attend class. Each class is a learning experience that cannot be replicated through simply“getting the notes.”Homework Policy: Homework is a requirement for this class.  Online homework will be completed withMyMathLab, which comes with a new copy of the textbook.  Access to it can also be purchased directly fromthe website.Quiz Policy: Quizzes will be given approximately once a week throughout the semester. They will be based onthe lecture, homework and the in-class discussions. There will be 8-12 assessments given throughout thesemester.Exams: There will be three common midterm exams held during the semester and one comprehensivecommon final exam. Exams are held on the following days:Common Midterm Exam I September 25, 2019Common Midterm Exam II October 23, 2019Common Midterm Exam III November 20, 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.Missed Exam Policy: If one common exam is missed with an excused absence from the Dean of Students, thenthe final exam score will count in the place of the missed exam.Makeup Exam Policy: To properly report your absence from a midterm or final exam, please review andfollow the required steps under the DMS Examination Policy found here:http://math.njit.edu/students/policies_exam.phpMandatory Tutoring Policy: Based upon academic performance indicating a significant gap in understanding ofthe course material, students may receive a notice of being assigned to mandatory tutoring to assist in fillingthe gap. A student will have 2 points deducted from the course average for each instance in which therequired tutoring is not completed by the stated deadline.Cellular Phones: All cellular phones and other electronic devices must be switched off and put away duringall class 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 Directorof Disability Support Services at 973-596-5417 or via email at lyles@njit.edu. The office is located in FensterHall Room 260. A Letter of Accommodation Eligibility from the Disability Support Services office authorizingyour accommodations 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 Assignment in MyMathLab Assignment to Hand-in1 5.6 Review of Integration, u/dusubstitutionSection 5.4 #s:  1,23,31Section 5.5 #s: 18,19,21,25,33,43,47,59Section 5.6 #s: 27,29,39,532 6.1 Volumes Using CrossSections5,9,17,19,23,30,33,37 Section 6.1 #s: 8,10,17,21,25(for 17,21 & 25 clearlyshow a sketch of therevolved figure)3 6.1 Continue Volumes UsingCross Sections41,42,43,45,47,49,51,53,55,59 Section 6.1 #:  64ab4 6.2 Volumes Using CylindricalShells3,5,9,11,17,19,21,25,29,33,485 6.3 Arc Length 1,2,3,4,5,7,15,276 6.4 Areas of Surfaces ofRevolution9,13,15,17,19,21,247 6.5 Work 3,5,6,7,8,9,118 6.5 Work 16,17,18,19,20 Section 6.5 #s:  4,10,219 7.3, 8.1 Basic Integration Formulas(derive derivatives andintegrals for sinh(x), cosh(x)from 7.3)Section 8.1 #s: 5,9,10,15,27,33,37Section 7.3 #s: 6,7,9,13,17,4310 REVIEW FOR EXAM #111 8.2 Integration by Parts 1,3,6,8,13,15,22,23,35,37,39,45,5512 8.3 Trigonometric Integrals 7,9,11,13,17,19,27,31,35,37,39,45,64,65,6713 8.4 Trigonometric Substitution 5,7,11,17,19,23,29,35, 41,43,57 Section 8.4 #s:1,12,20,44,49,5714 8.4/8.5 Continue Trig Substitution& Start Integration byPartial FractionsSection 8.4:  Continue aboveassignmentSection 8.5: 3,7,11,14,16,17,2015 8.5 Integration of RationalFunctions by PartialFractions25,29,33,35,37,41 Section 8.5 #s:  9,18,30,3916 8.7 Numerical Integration 3,7,13,17,21,2817 8.8 Improper Integrals 1,4,6,7,9,11,13,17,21,23,25,3118 8.8 Improper Integrals 39,43,45,51,57,59,63,65,67,71,7319 10.1 Sequences 3,7,9,17,21,23,25,35,39,41,45,49,53,55,57,65,69,71,79,89,91,97,99,10920 10.2 Infinite Series 5,7,13,33,35,41,45,47,57,59,61,63, 67,71,77,79,94,95,98,9921 10.2/10.3 Continue Infinite Series &Start Integral TestContinue above assignment22 REVIEW FOR EXAM #223 10.3/10.4 Finish Integral Test & startComparison TestsNo online homework Section 10.3 #s: 3,6,9,11,13,14,15,19,20,23,25,27,35,36,4824 10.4 Comparison Tests No online homework Section 10.4 #s: 1,4,5,12,18,19,21,23,28,31,33,34,36,37, 38,41,45,47,56MATLAB #1 is DUE25 10.5 Root and Ratio Tests No online homework Section 10.5 #s:2,7,9,18,19,20,34,37,43,4526 10.6 Alternating Series, Absolutevs. Conditional ConvergenceNo online homework Section 10.6 #s: 5,7,9,10,11,12,13,15,19,20,21,23,24,2527 10.6 Alternating Series, Absolutevs. Conditional ConvergenceNo online homework Section 10.6 #s: 27,31,33,34,35,37,39,41,44,50,51,53,57,6428 FLEX DAY:  USE ON SERIES CONVERGENCE, POWER SERIES OR TAYLOR SERIES AS NEEDED29 10.7 Power Series 3,5,9,11,15,19,21,23,2730 10.7 Power Series Continue above assignment Section 10.7 #s:22,24,31,32,3931 10.8 Taylor and McLaurin Series 3,5,8,9,11,15,18,23,29,31,3532 10.9 Convergence of TaylorSeries1,9,10,13,17,19,22,2533 10.9 Convergence of TaylorSeries31,33,39,41,43,45,47,52,5334 10.1 Applications of TaylorSeries23,25,29,31,35,39,45,49,55,6135 11.1/11.2 Parametrization of PlaneCurves & Start Calculuswith Parametric CurvesSection 11.1 #s:  1,3,5,7,9,16,19,39,31,33,35,37,41,4936 REVIEW EXAM #337 11.2 Calculus with ParametricCurves7,9,12,13,15,21,26,28,29,35  38 11.3 Polar Coordinates 1,5,7,13,17,23,27,32,37,47,51,59,61,6339 11.4 Graphing in PolarCoordinatesNo online homework 1,2,3,4,5,6,19 (graph only),20 (graph only), 21,23,2540 11.5 Areas and Lengths in PolarCoordinates1,5,7,11,12,13,15,1741 11.5 Areas and Lengths in PolarCoordinates21,23,25,27,2842 CATCH UP AND REVIEWFINAL EXAMUpdated by Professor J. Bechtold - 9/10/2019Department of Mathematical Sciences Course Syllabus, Fall 2019

MATH 112-003: Calculus II

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MATH 112-003: Calculus II

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