Math 231, Section 2, Spring 2016
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1 Lecture times: TuTh 2:00 pm 3:15 pm Lecture location: Phillips 215 Instructor: Linda Green Office: Phillips 338 Office Hours: TuTh 3:30 4:30, MW 2:00 3:00, F 8:30 9:30, and by appointment linda.green@unc.edu Course website: see Sakai wiki Problem session times: Fridays Problem session locations: Phillips 206 or 208 TAs: Paul Kruse, Evan Brummet, Ahmed Jaraki TAs paulmk@live.unc.edu, ebrummet@live.unc.edu, ajaraki@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) for visualizing functions and checking answers. 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 pre-class 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 above and submit. Create 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. 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. You have a 14 day grace period before you need to enter your access 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 10% 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 with texting ability or a laptop to class. 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/spring2016/math231. ALEKS: This class will use ALEKS online Prep for Calculus course to review algebra, logarithms, trig. You can register (for free) anytime after Dec. 15th, and you have 6 weeks to complete this prep course after you register. Sign up at using the class code VU39D-EF9RR. 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 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 an hour for the diagnostic test and give it your best effort, since an accurate diagnostic test will save you time in the long run. 2
3 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. Quizz topics and format will be announced in advance during the lecture or posted on Sakai. Your lowest quiz grade will be dropped.. There will be three tests during the semester. Their tentative dates are as follows: Test 1 2/11 Test 2 3/10 Test 3 4/14 No make-up tests or quizzes will be given. However, the grade on the final will be used to replace the lowest test grade if the final exam score is higher. The comprehensive final exam will be on Monday, May 2 from 4:00 7:00 pm. 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: It is very difficult to do well in any math course without coming to class on a regular basis. 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. ALEKS Prep for Calculus 3 pts. WebAssign: 12 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 1-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 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! 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. 3
4 Additional Resources: The Math Department sponsors free tutoring in the Math Help Center in 365 Phillips Hall. Hours for Spring 2016 are MW 10 6, TuTh 1 6, F and 2-3. See for updates and details. 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 which will meet on Wednesdays from 4:00 5:00 pm in the Learning Center (SASB North 0118). For details, contact Jackie Stone at jacsto@ .unc.edu. 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 1/12 Syllabus 2.2 The Limit of a Function Thurs: 1/ / / / / /11 TEST 1 6 2/ / / / /10 TEST / / / / /14 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 Linear Approximation and Differentials Maximum and Minimum Values The Mean Value Theorem How Derivatives Affect the Shape of a Curve Sections 3.4, 3.5, 3.6, 3.7, 3.9, 3.10, 4.1, 4.2 Indeterminate Forms and l Hospital s Rule Summary of Curve Sketching Optimization Problems Newton s Method Antiderivatives Area and Distance The Definite Integral The Fundamental Theorem of Calculus Sections 4.3, 4.4, 4.5, 4.7, 4.8, 4.9, 5.1, (5.2) Indefinite Integrals and the Net Change Theorem Tues: 1/26 Tues: 2/2 Tues: 2/9 Tues: 2/16 Tues: 2/23 Tues: 3/1 Tues: 3/08 Tues: 3/22 Tues: 3/29 Tues: 4/5 Tues: 4/12 Tues: 4/19 Tues: 4/ The Substitution Rule 15 4/26 Wrap up and review Thurs: 4/28 FINAL Monday, May 2 from 4:00 7:00 pm *All WebAssign homework assignments are due by 11:55 PM on the indicated date. Pre-class WebAssign assignments are due at 2:00 pm on the day that the section will be covered in class. 5
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