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UMass Amherst MATH 131 - Calculus 131 Syllabus

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Math 131 2019 Fall Course Web PrerequisitesHigh school algebra I and II, Trigonometry, Plan geometry and Pre-calculus (Analyticgeometry).DescriptionMath131 is the first in a three course Calculus sequence Math131–132–233 which covers basic concepts, methods, and applications suitable for majors inengineering, natural sciences, computer science, mathematics, etc. The emphasis is onproblem-solving instead of on proving theorems. Math 131 mainly studies derivativesof single-variable functions, covering these topics: limits, continuity, derivatives,implicit differentiation, related rates, maxima and minima, and an introduction todefinite integrals with applications to area. Textbook1.You may purchase James Stewart, Calculus: Early Transcendentals , Loose-leaf, 8thLoose-leaf, 8thEditionEdition, Cengage Learning, 2016. Paperback printed book + eBook + WebAssign multi-term from Cengage ($134.15). See https://www.cengage.com/webapp/wcs/stores/servlet/en/micrositesus/UMASSCALCULUS1 2.You may purchase WebAssign Instant Access (Webassign access code+ebook) forStewart’s Calculus: Early Transcendentals; Multi-Term; 8th Edition, multi-term($114.40). See https://www.cengage.com/webapp/wcs/stores/servlet/en/micrositesus/UMASSCALCULUS1 (Recommended)3.You may purchase WebAssign Instant Access (Webassign access code+ebook) forStewart’s Calculus: Early Transcendentals; single-Term; 8th Edition, single-term($78.00). See https://www.cengage.com/webapp/wcs/stores/servlet/en/micrositesus/UMASSCALCULUS1 4. You purchase Enhanced WebAssign directly from the WebAssign website as opposedto the above linked microsite, you will get the same stand-alone Instant Access Code toEnhanced WebAssign (with ebook) but at a higher price.Please note that you do *not* need to buy any other materials for the course.TopicsIntroduction – What is calculus?Chapter 2 – Limits and derivatives2.1 The tangent and velocity problems2.2 The limit of a function2.3 Calculating limits using the limit laws2.4 The precise definition of a limit2.5 Continuity2.6 Limits at infinity; horizontal asymptotes2.7 Derivatives and rates of change2.8 The derivative as a functionChapter 3 – Differentiation Rules3.1 Derivatives of polynomials and exponential functions3.2 The Product and Quotient Rules3.3 Derivatives of trigonometric functions3.4 The Chain Rule3.5 Implicit differentiation3.6 Derivatives of logarithmic functions3.7 Rates of change in the natural and social sciences3.8 Exponential growth and decay3.9 Related rates **3.10 Linear approximations and differentialsChapter 4 – Applications of Differentiation4.1 Maximum and minimum values4.2 The Mean Value Theorem4.3 How derivatives affect the shape of a graph4.4 Indeterminate forms and L’Hospital’s Rule4.7 Optimization problems4.8 Newton’s Method **4.9 AntiderivativesChapter 5 – Integrals (introduction)5.1 Areas and distances5.2 The definite integral and Riemann sumsNote** Topics will be omitted if time is lost from emergency campus closing.Weekly ScheduleWeek Lecture EventsSept 2 Intro, 2.1, 2.2 Start of firstlecture on Tuesday, Sept3Sept 9 2.3-2.5 Sept 16 2.6-2.8 Last day to drop: MonSep 16Sept 23 3.1-3.3 Sep. 30 review, 3.4(start) Exam 1 Wednesday Oct2,7-9pm; Make-upExam 1 Tuesday Oct 1,7-9pm; Exam 1 coverssection 2.1-2.8Oct 7 3.4(end)-3.6 Oct 14 3.7-3.9(start) Holiday Mon; Tues =MonOct 21 3.9(end)-4.1 Oct 28 4.2 -4.3(start) Last day for W: TuesdayOct 29Nov 4 review-4.3(end) Nov 11 4.4 MondayHoliday, Wed=Mon, Exam2 Wednesday Nov 13, 7-9pm; Make-up exam 2Tuesday Nov 12, 7-9pm;Exam 2 covers section 3.1-4.2Nov 18 4,7, 4.9, 5.1 Nov 25 Thanksgiving RecessDec 2 5.1, 5.2 Dec 9 review Last classWednesday12/11; FinalExam covers entiresemester's workDec 13-19 Final exam period Final exam is onMonday, 12/16, 1-3pm.Final grade is due noon,Jan 2 Requirements1.Take three 2-hours Exams (Exam1, Exam2 and Final Exam)2. Do assigned reading and complete online homework on time.3. Attend classes regularly including discussion sections, take in-class quizzes,and complete written assignment if there are any in your section.ExamsAll three exams are closed book; there is no calculator allowed in any exams; Examdates and materials covered are listed in the weekly schedule, which are the same for alllecture sections of the course. Your instructor will notify you the exam location of yoursection at least one week before the exam. For all of Exams, you should justifyyour answer with clear steps, answers without supporting work may receive 0 credit. Besure to bring your Umass student ID card and any other exam allowed supplies (likepens, penciles and erasers) when you attend the Exam. All of students must take theregular exam unless you are qualified to take an official make-up exam which has beenpermitted by your instructor, which follows procedure of make-up request. As long as anexam has been taken, it can NOT be retaken.Make-up request: All of students should check your travel plan and exam schedules ofyour courses carefully. If you have any schedule conflicts, you should hand in awritten request with your name, student ID, section number, brief reason and an officialsupport document to your instructor at least two weeks before the exam, then yourinstructor will collect all make-up requests and report a whole list to course chair, thencourse chair will reserve a make-up location based on the total number of requests, soany late requests will be refused by course chair. The course chair assistant will notifyyou when and where to take the make-up exam in a few days before the exam.Which case and where is the official support document for the make-up request?(1) if you have an exam (or a class) schedule conflicts with the regular exam, you shouldgo to Office of University Registrar (213 Whitmore Administration Building, Universityof Massachusetts, 181 Presidents Drive Amherst, MA 01003-9313) 8:00am - 5:00pmMonday through Friday to get an "evening exam conflicts form" as the officialdocument.(2) if you have a university travel for univerisity business during the regular exam date,like an athletic competition or academic conference etc., you should ask your supervisoror your coach to write an explanation letter including his/her phone number to yourinstructor as the official written document. Your instructor may verify the eventby phone call.(3) if you have a religious observance on regular exam date and can NOT take the exam,you


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