Math 231, Section 1, Fall 2016

Transcription

1 Lecture times: TuTh 9:30 am 10:45 am Lecture location: Phillips 215 Instructor: Linda Green Office: Phillips 338 Office Hours: M - Th 2:00 3:00, F 8:30 9:30, and by appointment linda.green@unc.edu Course website: see Sakai wiki Math 231, Section 1, Fall 2016 Recitation times: Mondays Recitation locations: Phillips 224, 228, or 367 Homework help times: Wednesdays 3:30 5:30 Homework help location: Phillips 402 (Chad s office) TAs: Gonzalo Cazes-Nasitiqui, Robert Hunt, Samuel Jeralds, Chad Kelterborn TAs gonzalo@live.unc.edu, huntrl@live.unc.edu, sjj280@live.unc.edu, ckelter@live.unc.edu Materials: Textbook: Calculus: Early Transcendentals, (or Single Variable Calculus: Early Transcendentals) by Stewart, 8th Edition. Access to an e-book comes with access to WebAssign. WebAssign: You will need access to WebAssign for homework. If WebAssign did not come with your textbook, you need to purchase it separately. See the information on homework below. Poll Everywhere: You will need to register for the class s Poll Everywhere site to answer questions in class using your cell phone or laptop. See the instructions below. Piazza: Please use Piazza instead of to ask questions about homework problems and logistics. Other students and the instructors can answer them there for the benefit of all students. See details below. ALEKS: This class will use the ALEKS Prep for Calculus online module to review algebra, logarithms, and trigonometry. See instructions below. Calculator: You will need a basic scientific calculator. I recommend a graphing calculator (e.g. TI-84 or TI-89). A graphing calculator app is fine for class and homework but cannot be used on in-class quizzes. Calculators are not permitted on tests or on the common final exam. Other: Supplementary materials including course notes will be posted on the Sakai course wiki. Videos are on the instructor s YouTube channel and links to the videos are posted on Sakai. Placement: Only students who scored 600 or better on the SAT 2 Math Level 2 test, scored 29 or higher on the ACT math subject test, scored a 2 on the AP Calculus AB or BC exam, or passed Math 130 with a C- or higher may register for 231. Course Description: Math 231 is designed to provide a detailed introduction to the fundamental ideas of calculus. It does not assume any prior calculus knowledge, but the student is expected to be proficient working with functions and their graphs as well as manipulating variable expressions and solving equations using algebra. The course is divided into four units: Unit I: Functions and Limits Unit II: Derivatives Unit III: Applications of Calculus Unit IV: Integration Course Objectives: Calculate limits of functions; explain the relationship between a function and its graph and its limit at a point. Define a derivative using limits and explain the geometric significance; evaluate derivatives of a given function. Apply the concepts of limits and derivatives to real world problems and sketching curves. Evaluate basic integrals using anti-derivatives and u-substitution; recognize the geometric significance of an integral. Use the Fundamental Theorem of Calculus to relate derivatives and integrals. 1

2 Class Structure: Students are expected to prepare for each Tuesday/Thursday class by reading the text and / or watching assigned videos, and then completing a short pre-class assignment on WebAssign. The pre-class assignments are due before the start of class. Classes on Tuesdays and Thursdays will be lectures. The instructor will post a skeleton version of the notes on Sakai before each class and a filled in copy of the notes a few days after class. During the Monday recitations led by the TAs, students will solve problems on topics related to the current lectures and homework. Homework: Please refer to the schedule on WebAssign for homework due dates. The lowest two homework scores will be dropped. Please refer to the instructions below to set up your WebAssign account. Pre-class assignments: There will be pre-class WebAssign assignments for most classes, due by the start of class. Your scores on the pre-class assignments will be included in your homework grade. The lowest two scores on preclass assignments will be dropped. Website: Class Key: unc Users New to WebAssign at UNC Previous Users of WebAssign at UNC Click on I have a Class Key. Enter the appropriate class key from above and submit. Click on I have a Class Key. Enter the appropriate Course Key from Verify that you have the correct class and choose Need to Create above and submit. Complete all boxes with an * beside them with your personal information. Click on Create my account. Click on Log in. From this point on you will sign in as a returning user with your User Name, Institution (unc), and Password. You have a 14 day grace period before you need to enter your access Verify that you have the correct class and choose Already Have You can log in with your User Name, Institution (unc), and Password. You have a 14 day grace period before you need to enter your access code or purchase one from WebAssign. code or purchase one from WebAssign. Poll Everywhere Questions: During lecture, the instructor will ask questions for all students to answer using Poll Everywhere on their phones or laptops. Poll Everywhere questions will be graded by giving one point for participation, and the lowest 20% of the scores will be dropped. In order to get credit for answers, students need to register for Poll Everywhere through UNC s service at Be sure to go through UNC s website listed above and do NOT sign up directly at polleverywhere.com. There is no charge for students to use Poll Everywhere, but students will need to bring a phone or a laptop to class. Some students like using the Poll Everywhere app on their phone, but it is also possible to answer using text messages. Students who have registered for Poll Everywhere previously for another course do not need to register again for this course. Piazza: Instead of ing the instructor or the TAs with questions about homework problems or logistics, please post your questions on Piazza. Other students and the instructor and TAs can answer them there for the benefit of all students. If you were not already automatically added to Piazza, you can also register yourself here: piazza.com/unc/fall2016/math231. ALEKS: This class will use ALEKS online Prep for Calculus course to review algebra, logarithms, trig. You can register (for free) starting Aug 2. All work in ALEKS is due by Sept 13, with some portions due earlier. Check ALEKS for specific due dates. Sign up at using the class code H9NXD-AWXUU. The ALEKS program will give you a diagnostic test and then give you problems and explanations that adapt to your needs. In this way, you 2

3 will only work on topics that you personally need to review, and you won t waste much time on problems that you already know how to do. Please budget at least 90 minutes for the diagnostic test and give it your best effort, since an accurate diagnostic test will save you time in the long run. Tests and Quizzes: There will be a quiz given almost every week. Some weeks, the quiz will be given during recitation. Other weeks, the quiz will be online through WebAssign. Quiz topics and format will be announced in advance during the lecture or posted on Sakai. Your lowest two quiz grades will be dropped. There will be three tests during the semester. Their tentative dates are as follows: Test 1 9/22 Test 2 10/25 Test 3 11/22 No make-up tests or quizzes will be given. However, the grade on the final will be used to replace the lowest test grade, or one missed test, if the final exam score is higher. The comprehensive final exam will be on Friday, Dec 9 from 8:00 11:00 am. The final exam is given in compliance with UNC s final exam regulations and calendar, and will not be given prior to this exam date. In order to take the make-up exam after this date, you must have an official examination excuse, signed by a Dean or authorized agent of the Dean (in Steele Building). You must bring this excuse, along with a picture ID, to the make-up exam. Attendance: Participation in lecture is graded via PollEverywhere, which counts for 2% of the course grade. Attendance will be taken in recitation and will count for an additional 2% of the course grade. If the test average is higher than the recitation attendance grade, then the test average will be used in place of the recitation attendance grade. Grading: All grades will be assigned according to a 10-point scale. That is, is A, is A-, is B+, is B, is B-, etc. Your course grade will be determined as follows: Poll Everywhere Questions 2 pts. Attendance in Recitation 2 pts. ALEKS Prep for Calculus 3 pts. WebAssign: 10 pts. Quizzes: 10 pts. Tests: 40 pts. Final Exam: 33 pts. Total : 100 points There will be minimum final exam grade required in order to receive a C- for the course. At the end of the semester, a cut-off grade for automatic failure will be determined. It will be below 60%. This will supersede any other grading policies. In this way, appropriate placement into Math 232 will be assured. Late work: You may request a 2-day extension directly from WebAssign on online homework with a 25% penalty on unanswered questions. No make-up tests or quizzes will be given. Honor Code: It is expected that each student in this class will conduct him or herself within the guidelines of the UNC Honor System, described at In this class, all tests and exams must be done individually and are closed book and closed notes. It is an instance of cheating to give or receive help on a test or exam, except from the instructor. Quizzes must also be done individually. In class quizzes are closed book and closed notes, and online quizzes taken outside of class are open book and open notes unless otherwise specified. On homework assignments and pre-class assignments, students are encouraged to work together in pairs or small groups, provided that all participants are contributing and the 3

4 collaboration benefits the learning of all involved. Simply copying or trading answers is an instance of cheating. On in-class problem solving assignments and Poll Everywhere questions, students are encouraged to work together. If you are not sure if collaboration is permitted, please ask! In addition to avoiding actual academic dishonesty, please avoid appearances of academic dishonesty. In particular, please silence and put away cell phones before any exams are handed out and please avoid the appearance of looking at other students papers. In order to maintain a proper testing atmosphere, the instructor may ask students to switch seats before or during an exam. Students who observe a violation of the honor code should report it to the instructor. The instructor will report any suspected honor code violations to the Student Attorney General. Additional Resources: The Math Department sponsors free tutoring in the Math Help Center in 365 Phillips Hall, Monday through Friday. Hours for Fall 2016 will probably be M Th 10:00 6:00 and F 1:00 3:00. Exact hours are posted at and on the door of the room. Free tutoring is available on the second floor of Dey Hall on Tues. and Wed. evenings from 6 9 pm. The Learning Center facilitates a study group for Math 231 called Math Plus that meets on Mondays from 4:00 5:00 in 0118 SASB North starting Aug. 29. For details, contact Jackie Stone at jacsto@ .unc.edu. Chad Kelterborn (class TA) will offer a homework help session on Wednesdays from 3:30 5:30 in his office in Phillips 402 or in a classroom (TBD). ckelter@live.unc.edu if you are not sure of the location; otherwise just drop in any Wednesday. The Math Department keeps a list of paid tutors in the main office in Phillips 329. Copies of final exams from previous years are available at Disclaimer: The instructor reserves the right to make changes to the syllabus, including due dates and test dates. Changes to WebAssign due dates can be found on the WebAssign site. Other changes will be announced in class or via Piazza or . 4

5 SCHEDULE OF INSTRUCTION WEEK START DATE SECTION TOPIC WA DUE DATE 1 8/23 Syllabus 2.2 The Limit of a Function Mon: 8/ / / / / /22 TEST 1 6 9/ / /11 10/ /18 10/ /25 TEST / / Calculating Limits Using the Limit Laws Continuity Limits at Infinity; Horizontal Asymptotes Derivatives and Rates of Change The Derivative as a Function Derivatives of Polynomials and Exponential Functions The Product and Quotient Rules Derivatives of the Trigonometric Functions The Chain Rule Sections 2.2, 2.3, 2.5, 2.6, 2.7, 2.8, 3.1, 3.2, 3.3 Implicit Differentiation Derivatives of Logarithmic Functions Rates of Change in the Natural and Social Sciences Related Rates University Day Mon: 8/29 Wed: 9/1 Tues: 9/6 Wed: 9/7 Mon: 9/12 Wed: 9/14 Mon: 9/19 Mon: 9/26 Wed: 9/28 Mon: 10/3 Wed: 10/5 Mon: 10/10 Linear Approximation and Differentials Mon: 10/ Maximum and Minimum Values Wed: 10/26 Fall Break Sections 3.4, 3.5, 3.6, 3.7, 3.9, How Derivatives Affect the Shape of a Curve Mon: 10/31 Indeterminate Forms and l Hospital s Rule Wed: 11/2 Summary of Curve Sketching Mon: 11/7 Optimization Problems The Mean Value Theorem Antiderivatives Area and Distance 13 11/ The Definite Integral The Fundamental Theorem of Calculus 14 11/22 TEST 3 Sections 4.2, 4.3, 4.4, 4.5, 4.7, 4.9, 5.1, /24 Thanksgiving 15 11/ Indefinite Integrals and the Net Change Theorem 5.5 The Substitution Rule 16 12/6 Wrap up and review FINAL Friday, Dec 9 from 8:00 11:00 am All WebAssign homework assignments are due by 11:59 PM on the indicated date. Before class assignments are due at the start of class. This schedule may be changed. The instructor will notify students of any changes. Because class is cancelled on 10/11 due to University Day, Section 4.2 is rescheduled to later in the semester and Section 4.8 is omitted. Wed: 11/9 Mon: 11/14 Wed: 11/16 Mon: 11/28 Wed: 11/30 Mon: 12/5 5