Ro, J. H.

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New Jersey Institute of TechnologyDigital Commons @ NJITMathematical Sciences Syllabi NJIT SyllabiFall 2019MATH 111-005: Calculus IJ. H. RoFollow 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 CitationRo, J. H., "MATH 111-005: Calculus I" (2019). Mathematical Sciences Syllabi. 31.https://digitalcommons.njit.edu/math-syllabi/31MATH 111: Calculus IFall 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 limits, differentiation, applications of differentiation, and integration.Number of Credits: 4Prerequisites: MATH 110 or placement by performance on standardized entrance examinations.Course-Section and InstructorsCourse-Section InstructorMath 111-001 Professor J. H. RoMath 111-003 Professor S. Alptekin Math 111-005 Professor J. H. RoMath 111-007 Professor J. DavisMath 111-009 Professor D. SchmidtMath 111-011 Professor S.Alptekin Math 111-013  Professor J. DavisMath 111-015 Professor R. DandanMath 111-017 Professor E. GulistanMath 111-019 Professor K. MinkyunMath 111-021 Professor E. Dupay Math 111-023 Professor E. DupayMath 111-025 Professor I. PeltekovMath 111-027 Professor B. Patiak Math 111-029  Professor R. AllaireMath 111-031 Professor D. SchmidtMath 111-103 Professor M. AytasOffice 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 will bestrictly enforced.COURSE GOALSCourse ObjectivesStudents should (a) learn about limits and their central role in calculus, (b) learn about derivatives and theirrelationship to instantaneous rates of change, (c) understand many practical applications of derivatives, (d) gainexperience in the use of approximation in studying mathematical and scientific problems, (e) learn aboutintegrals: their origin in the area problem and their relationship to derivatives.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 read andfully understand the Math Department’s Attendance Policy. This policy will be strictly enforced. Students areexpected to attend class. Each class is a learning experience that cannot be replicated through simply “gettingthe 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 from thewebsite.MATLAB Assignments: MATLAB is a mathematical software program that is used throughout the science andengineering curricula. Tutors are available to help students having difficulties in accordance with a postedschedule.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 comprehensive commonfinal 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 and followthe required steps under the DMS Examination Policy found here:http://math.njit.edu/students/policies_exam.phpDiagnostic Assessment: Having a solid background in pre-calculus is a prerequisite for success in calculus.Accordingly, during the first week of the semester, every student will complete a diagnostic assessment of pre-calculus. Students whose outcomes indicate gaps in this material will be assigned additional activities in orderto assist in filling these gaps. Students who do not complete the diagnostic assessment and all assigned follow-up activities will have two points deducted from their course average.Mandatory 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 the requiredtutoring is not completed by the stated deadline.Cellular 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 Assignment inMyMathLab Assignment to Hand-in1 2.1 Rates pf Change andtangents to Curves1, 3, 5, 9, 13, 212 2.2 Limit of a Function andLimit Laws1, 2, 13, 19, 22, 25, 31,33, 35, 41, 47, 49,  53,57, 63, 79, 81Section 2.2 #s:  3 (also write the functionf(x) that is graphed here), 32, 803 2.4 One Sided Limits 1, 3, 5, 9, 13, 15, 17,27, 29, 39, 414 2.5 Continuity 3, 5, 7, 15, 17, 19, 21,25, 27, 295 2.5/2.6 Continue Continuity;Start Infinite limitsSection 2.5:  35, 37, 39,45, 47, 49, 55, 57, 616 2.6 Limits Involving Infinity; 9, 11, 23, 25, 27, 31, Section 2.6:  #s 63, 67, 76, 80, 81, 109, 110Asymptotes 33, 43, 45, 49, 53, 87 Practice Exercises (Page 116):  #s 1, 27 3.1 Tangents and Derivativesat a Point11, 13, 15, 17, 21, 358 3.2 The Derivative as aFunctionNo online homework Section 3.2 #s (you must find derivativesusing the definition of the derivative):     1, 3, 5, 13, 27, 28, 29, 30, 32, 33, 41, 48,589 3.3 Differentiation Rules 3, 5, 7, 17, 19, 25, 31,33, 35, 39, 43, 45, 71,7310 REVIEW FOR EXAM #111 3.3 Differentiation Rules 53, 55, 57, 59, 61, 63 Section 3.3 #s:  47, 72, 7412 3.4 Derivatives as a Rate ofChange1, 5, 7, 10, 13, 17, 18,23, 25, 3113 3.5 Derivatives of TrigFunctions2, 12, 15, 16, 19, 26,29, 33, 51, 61, 63Section 3.5 #s: 35, 4614 3.6 The Chain Rule 17, 23, 25, 29, 35, 39,43, 47, 49, 51, 6515 3.6/3.7 Continue Chain Rule andstart ImplicitDifferentiationSection 3.6: 71, 77, 81,83, 89, 97, 10116 3.7/3.8 Continue ImplicitDifferentiation and startDerivatives of Inversesand LogsSection 3.7: 1, 7, 11,15, 17, 19, 23, 33, 39,41, 4917 3.8 Continue Derivatives ofInverse and LogFunctions7, 9, 13, 19, 21, 24, 29,31, 35, 39, 43, 57, 61,63, 65, 69, 83, 89, 93,9518 3.9 Inverse Trig Functions 3, 5, 11, 21, 23, 25, 33,34, 35, 41, 5119 3.1 Related Rates 7, 11, 15, 17, 20, 21,23, 2520 3.1 Related Rates 27, 31, 32, 33, 37, 40,4121 3.11 Linearization andDifferentials5, 11, 13, 19, 31, 35,41, 51, 53, 59Section 3.11 #s: 18, 54, 65ab22 REVIEW FOR EXAM #223 4.1 Extreme Values ofFunctions23, 25, 29, 33, 39, 47,49, 51, 78Section 4.1 #s:  15,17,18,20,57,5924 4.2 The Mean ValueTheorem3, 4, 6, 11, 13, 16, 21,31, 35, 37, 41, 5125 4.3 Monotone Functions andthe First Derivative Test1, 11, 21, 29, 37, 43,49, 75, 7726 4.4 Concavity and CurveSketchingNo online homework Section 4.4 #s:  9,13,19,25,28,31,35,39,43,52,58,90,94,99,12727 4.4/4.5Continue CurveSketchingNo online homework Continue above assignment28 4.5 Indeterminate Forms &L’Hopitals Rule7, 9, 11, 15, 19, 21, 23,29, 33, 37, 41, 44, 46,4929 4.5/4.6 Finish L’Hopitals; StartApplied OptimizationSection 4.5: 51, 55, 57,58, 63, 65, 67, 71, 7930 4.6 Applied Optimization 4, 7, 9, 11, 12, 14, 23,24, 29, 31, 44, 45, 57, 6231 4.7 Newton’s Method 1, 2, 4, 5, 2332 4.8 Antiderivatives 5, 11, 19, 35, 37, 39,41, 45, 47, 59,  61, 69, 97, 101, 104, 107,113, 12733 5.1 Area and Estimating withFinite SumsNo online homework Section 5.1 #s: 1-7 odd (for each of theseproblems, sketch the curve and therectangles).  Also #1134 5.2 Sigma Notation andLimits of Finite Sums7, 9, 17, 25, 29 Section 5.2 #s: 37,43,44,47,4935 5.3 Definite Integral 9, 13, 19, 23, 33, 42,45, 47, 4936 REVIEW FOR EXAM #337 5.3/5.4 Continue DefiniteIntegrals & StartFundamental Thm ofCalculusSection 5.3:  57, 59, 61,71, 79, 88 38 5.4 Fundamental Theoremof Calculus7, 9, 13, 15, 21, 23, 27,30, 41, 47, 53, 55,  57, 60, 61, 63, 77,7939 5.5 Indefinite Integrals andSubstitution Method11, 15, 18, 20, 21, 23,25, 27, 29, 3340 5.5 Indefinite Integrals andSubstitution MethodNo online homework Section 5.5 #s:35,37,43,46,47,55,56,59,61,65,7941 5.6 Area Between Curves 3, 11, 17, 19, 27, 29,33, 39, 53, 66, 77, 83, 87, 93, 97, 99,102, 11542 CATCH UP AND REVIEWFINAL EXAMUpdated by Professor J. Bechtold - 9/5/2019Department of Mathematical Sciences Course Syllabus, Fall 2019

MATH 111-005: Calculus I

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MATH 111-005: Calculus I

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