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New Jersey Institute of Technology Digital Commons @ NJIT Mathematical Sciences Syllabi NJIT Syllabi Summer 2023 MATH 112-031, 032, 131, Summer 2023: Calculus II Mathematical Sciences Department Follow this and additional works at: https://digitalcommons.njit.edu/math-syllabi Recommended Citation Mathematical Sciences Department, "MATH 112-031, 032, 131, Summer 2023: Calculus II" (2023). Mathematical Sciences Syllabi. 253. https://digitalcommons.njit.edu/math-syllabi/253 This Syllabus is brought to you for free and open access by the NJIT Syllabi at Digital Commons @ NJIT. It has been accepted for inclusion in Mathematical Sciences Syllabi by an authorized administrator of Digital Commons @ NJIT. For more information, please contact digitalcommons@njit.edu. MATH 112: Calculus IISummer 2023 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 Instructors:Course-Section InstructorMath 112-031 Professor M. Potocki-DulMath 112-032 Professor R. BouayadMath 112-131 Professor M. Potocki-DulOffice Hours for All Math Instructors: Office Hours and EmailsRequired Textbook:Title Thomas' Calculus: Early TranscendentalsAuthor Hass, Heil, and WeirEdition 15thPublisher PearsonISBN # 97801375598939780137560042University-wide Withdrawal Date: Please see the Summer 2023 Academic Calendar for the last day towithdraw based on the summer session you are registered for.1COURSE GOALSCourse Objectives● Students should (a) learn about limits and their central role in calculus, (b) learn about derivatives andtheir relationship to instantaneous rates of change, (c) understand many practical applications ofderivatives, (d) gain experience in the use of approximation in studying mathematical and scientificproblems, (e) learn about integrals: 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,and other applications.● Students should gain experience in the use of technology to facilitate visualization and problem solving.Course Outcomes● Students 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, andother areas.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:Homework and Quizzes 20%Midterm Exam I 25%Midterm Exam II 25%Final Exam 30%Your final letter grade will be based on the following tentative curve.A 88 - 100 C 65 - 71B+ 83 - 87 D 60 - 64B 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.2Homework: Homework is a requirement for this class. Online homework will be completed with MyMathLab,which comes with a new copy of the textbook. Access to it can also be purchased directly from the website.Quizzes: Quizzes will be given approximately once a week throughout the semester. They will be based on thelecture, homework and the in-class discussions.Exams: There will be two common midterm exams held during the semester and one comprehensive commonfinal exam. Exams are held on the following days:Midterm Exam 1 June 14, 2023Midterm Exam 2 July 19, 2023Final Exam August 7, 2023The final exam will test your knowledge of all the course material taught in the entire course. Make sureyou read and fully understand the Math Department's Examination Policy. This policy will be strictlyenforced.Makeup Exam Policy: There will be NO MAKE-UP QUIZZES OR EXAMS during the semester. In the event anexam is not taken under rare circumstances where the student has a legitimate reason for missing the exam,the student should contact the Dean of Students office and present written verifiable proof of the reason formissing the exam, e.g., a doctor’s note, police report, court notice, etc. clearly stating the date AND time ofthe mitigating problem. 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.phpCellular Phones: All cellular phones and other electronic devices must be switched off during all class times.ADDITIONAL RESOURCESMath Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Summer 2023 Hours)Accommodation of Disabilities: The Office of Accessibility Resources and Services (OARS) offers long term andtemporary accommodations for undergraduate, graduate and visiting students at NJIT.If you are in need of accommodations due to a disability please contact Scott Janz, Associate Director ofDisability Support Services at 973-596-5417 or via email at scott.p.janz@njit.edu. The office is located inKupfrian Hall, Room 201. A Letter of Accommodation Eligibility from the Office of Accessibility Resources andServices office authorizing your accommodations will be required.For further information regarding self identification, the submission of medical documentation andadditional support services provided please visit the Office of Accessibility Resources and Services (OARS)website at:https://www.njit.edu/accessibility/Important Dates (See: Summer 2023 Academic Calendar, Registrar)Date Day Event3May 22, 2023 Monday Full, First, and Middle SummerSession BeginsMay 24, 2023 Wednesday Last Day to Add/Drop for FirstSummer SessionMay 26, 2023 Friday Last Day to Add/Drop for MiddleSummer SessionMay 29, 2023 Monday Last Day to Add/Drop for FullSummer SessionMay 29, 2023 Monday Memorial Day - UniversityClosed/No Classes ScheduledJune 10, 2023 Saturday Last Day to Withdraw from FirstSummer SessionJune 16, 2023 Friday Last Day to Withdraw from MiddleSummer SessionJune 16, 2023 Friday Juneteenth - University Closed/NoClasses ScheduledJune 26, 2023 Monday Last Day of Classes for FirstSummer SessionJune 30, 2023 Friday Last Day to Withdraw from FullSummer SessionJuly 4, 2023 Tuesday Independence Day - UniversityClosed/No Classes ScheduledJuly 5, 2023 Wednesday Second Summer Session BeginsJuly 6, 2023 Thursday Last Day to Add/Drop for SecondSummer SessionJuly 17, 2023 Monday Last Day of Classes for MiddleSummer SessionJuly 20, 2023 Thursday Last Day to Withdraw for SecondSummer SessionAugust 8, 2023 Tuesday Last Day of Classes for Full andSecond Summer SessionCourse OutlineDay # Sect# Subject Topic Homework1 5.6 Review of Integration, u/dusubstitutionSection 5.4 #s: 1, 23, 31Section 5.5 #s: 18, 20, 21, 25, 33, 43, 47, 59Section 5.6 #s: 27, 29, 37, 53, 57, 592 6.1 Volumes Using Cross Sections 1,5,9,17,19,23,30,33,37, 41,45,47,49,51,53,55,5943 6.2 Volumes Using Cylindrical Shells 3,5,9,11,17,19,21,25,29,336.3 Arc Length 1,2,3,4,5,7,15,274 6.4 Areas of Surfaces of Revolution 9,13,15,17,19,21,244 6.5 Work 1,5,7,8,9,11,12,17,18,19,205 7.3 Hyperbolic Functions 2,7,9,15,17,21,23,43,45,47,49,53, 55, 57,816 8.1 Using Basic Integration Formulas Section 8.1: 1,3,5,9,10,11,15,21,27,387 8.2 Integration by Parts Section 8.2: 3,5,11,13,23,27,29,33,35,39,45,47, 598 8.3 Trigonometric Integrals Section 8.3: 11,17,19,21,27,31,35,37,38,39,45, 65,719-10 REVIEW FOR EXAM IEXAM I: 6/14/202311 8.4 Trigonometric Substitution 1,5,7,11,17,19,23,29,35,37,43,5712 8.5 Integration of Rational Functions byPartial Fractions3,7,9,13,14,16,17,19, 23,25,27,29,33,35,39,41,45,7113 8.7 Numerical Integration 3,7,13,17,21,2814 8.8 Improper Integrals 1,4,6,7,9,11,13,17,21,23,31,3315 8.8 Improper Integrals 39,43,45,51,55,57,59,63,65,67,71,7316 10.1 Sequences 3,7,9,15,17,21,23,25,35,39,41,45,49,53,55,57,65,69,71,79,89,91,97,99,10917 10.2 Infinite Series 3,5,7,13,29,33,35,41,45,47,57,59,63,65,69,77,79,9818 10.3 Integral Test 3,6,9,13,15,21,27,29,31,33,35,3719 10.4 Comparison Tests 1,5,18,19,21,23,25, 28,31,32,34,37,39,41,43,47,51,5820 10.5 Root and Ratio Tests 5,7,9,18,19,21,29,31,35,42,57,59,61,7021 10.6 Alternating Series, Absolute vs.Conditional Convergence5,7,9,10,11,13,15,19,21,23,25,27,34,35,37,39,41,44,47,51,53,63,71,7322 10.7 Power Series 3,5,9,11,15,19,21,23,27,31,37,39,43,45,53,5423 10.8 Taylor and McLaurin Series 3,5,8,9,11,15,18,25,31,33,3724 REVIEW FOR EXAM IIEXAM II: 7/19/202325 10.9 Convergence of Taylor Series 1,9,10,13,15,21,22,27,31,39,41,43,45,47,5326 10.10 Applications of Taylor Series 1,3,5,13,23,25,29,31,35,39,45,49,55,6127 11.1 Parametrizations of Plane Curves 1,3,5,7,9,16, 29,31,35,37,41,43,4928 11.2 Calculus with Parametric Curves 7,9,12,13,15,21,26,28,29,31,33,35529 11.3 Polar Coordinates 1,5,7,13,17,23,27,32,37,47,51,59,60,6130 11.4 Graphing in Polar Coordinates 1,7,9,13,17,19,29,3131 11.5 Areas and Lengths in Polar Coordinates 1,7,11,13,15,17, 21,23,27,2832 CATCH UP AND REVIEW33 FINAL EXAMUpdated by Professor M. Potocki-Dul - 04/21/2023Department of Mathematical Sciences Course Syllabus, Summer 20236

MATH 112-031, 032, 131, Summer 2023: Calculus II

https://digitalcommons.njit.edu/cgi/viewcontent.cgi?article=1252&context=math-syllabi

MATH 112-031, 032, 131, Summer 2023: Calculus II

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