Math 8 Calculus II Spring 2013 Instructor: Gail Edinger Office: Math Complex 59 Campus Extension: (310) 434-3972 Email: edinger_gail@smc.edu **Important note: Due to problems with email from unknown senders, put the following in the subject section of all emails: Your full name Math 8. If you do not have this in the subject section I will not read your email.****** Homepage: http://homepage.smc.edu/edinger_gail/ Office Hours: Monday & Wednesday 7:30 8 a.m.; Tuesday 11 12, Thursday 9:30 10:30 *Other times by appointment Course Description: Topics include conic sections, logarithms and exponential functions, trigonometric and hyperbolic functions and their inverses, techniques of integration and indeterminate forms, Taylor s Formula, infinite series and polar coordinates. Required Text: Calculus, Swokowski Calculator: Any scientific calculator, calculators may not be used on exams. Outline: There is a class schedule and outline attached. Please note that there could be changes to this schedule. Attendance: Attendance is expected and encouraged. I will try to take attendance at every class. If you are absent for all or part of more than 3 classes, you may be withdrawn for nonattendance, regardless of current grade in the class. If you intend to drop the class, do not just stop coming. It is your responsibility to do the paperwork. If you are absent, you are still responsible for all material covered. You will be expected to complete and turn in all assignments on time. You may call me, email me or contact a classmate to find out what you have missed so that you can complete the material. You are also responsible for any changes to the syllabus, including changes in exam dates and assignment dates. Homework: You are expected to do homework after every class. The homework is not collected, but is considered due at the beginning of the next class. It is an important part of this class and crucial to your success. An initial assignment list is attached. There will be a short time at the beginning of each class (approx. 10 minutes) to answer short questions on the homework from the previous class. If you have many questions, please see me during office hours or go to the math lab. I will only answer questions from the previous homework assignment during class. If you fall behind on the assignments, I will be glad to answer those questions during office hours, but we will not take class time away from the students who have kept up to answer questions for those that have fallen behind in the assignments. If there is time at the end of the evening, I will gladly stay until the end of class time and answer questions from any section. Exams: There are 6 exams scheduled, each is worth 100 points. (See outline for dates) These will be closed book exams, scheduled for the entire class time. You are expected to take the exams on the scheduled date. NO MAKE-UP EXAMS WILL BE GIVEN. If you have a verifiable emergency and absolutely must miss one exam, the grade from the final will be substituted for that exam. If you cannot document an emergency that forced you to miss the exam you will receive a grade of 0% for the exam. If you miss more than one exam, you will receive a grade of 0% for the second exam missed. There will be no exceptions to this policy. If you have taken all of the scheduled in class exams you may substitute the grade on the final for your lowest exam grade. There will be a comprehensive final. The date is noted on the outline.
Quizzes: There are 5 quizzes scheduled. These will be short and timed, usually about 20 minutes, and extra time will not be allowed. They will be given either at the beginning or end of class, if you arrive late or must leave early the scheduled time will not be adjusted to accommodate individual schedules. Each will be worth 25 points. At the end of the semester the lowest quiz will be dropped and the other 4 will be combined to be 10% of your grade. NO MAKE_UP QUIZZES WILL BE GIVEN FOR ANY REASON. The final cannot be substituted for this grade, only for your lowest exam. If you miss more than one quiz you will be assigned a grade of 0 for that quiz. A missed quiz can be the one quiz dropped. The quizzes will be given only in the time allowed in class, if you arrive late or have to leave early, you will not, under any circumstances, be given extra time or a different time to take the quiz. Grading: The final grades will be assigned according to final averages as follows: 90 100 = A, 80 89 = B, 70 79 = C, 60 69 = D, below 60 = F using the following formula: 60% = exam scores 10% = Quiz scores 30% = Comprehensive final If you have taken all of the in class exams and your final exam grade is greater than ONE of your in class exam grades, that low exam grade will be dropped and the final exam score will take its place. This is the only way that the grades will be curved. Academic Honesty: The academic honesty policy of Santa Monica College will be strictly enforced. If there is any evidence of academic dishonesty on any exam or graded work, all parties involved will receive a grade of 0% for the entire exam or graded assignment, regardless of who did the original work and how much of the exam or assignment was involved. This 0% cannot be the exam grade dropped. It will count toward your final average. A report of Academic Dishonesty will be filed with the school. Disabilities: Working with the disabled student center, I will make accommodations for disability related needs. Withdrawing or Dropping the class - According to SMC policy, if you wish to withdraw from this class you must do so yourself. The class instructor is no longer involved in the process. There is no need to email me and ask for a W. Please review the policy on Corsair connect and be sure that you are aware of all dates and deadlines. It is not my responsibility to keep track of this for you. Reaching me: Drop by during office hours. If you have a question outside office hours, the best way to find me is via email. I check my email daily, Monday - Friday and will be glad to answer any questions on the homework. I will do my best to check email on the weekends, but if I cannot get to it on Sat. or Sun. I will definitely respond on the following Monday. Comments: 1. Get to know each other 2. Ask questions. If you do not understand something, ask as soon as possible. I welcome questions during class. You may also ask for help before class and during the break. 3. Make frequent use of the math lab. This is a useful way to get questions answered. It is FREE! 4. Keep up. I cannot stress this enough. The material is cumulative and if you fall behind, it is very difficult to catch up. You should expect to do 1 2 hours of homework for every hour spent in class. 5. You are expected to turn off your cell phone, pager, watch or any other noise making device before class starts. If your device goes off in class you will be asked to turn it off immediately. Please do not take this as an opportunity to check your message. If your device goes off during an exam or quiz, your exam or quiz will be considered finished, the work will be collected and you will be asked to leave. No additional time will be given.
Outline Note: We will try to stay as close to this schedule as possible. Students are responsible for all changes and announcements regarding this outline. All homework should be completed and could be covered on any exam. Date Sections Covered Assignment 2/11 Review Review Problems in the review sections chapters 2 6 as needed. 2/12 Review See above 2/13 6.5(Surface Area) 6.5: 29 39 odd 2/14 6.7 6.7: 1 23 odd 2/19 7.1 7.1: 1 17 odd, 21 31 odd 2/20 7.2 7.2: 1 47 odd, 51, 53; 7.3: 1 49 odd 2/21 7.3, QUIZ 1 7.3: 1 49 odd 2/25 7.4, 7.5 7.4: 1 47 odd, 51, 2/26 7.5 7.5: 1 49 odd 2/27 7.6 7.6: 1 19 odd 2/28 8.1 - Review 8.1: 1 37 odd 3/4 EXAM 1 3/5 8.2 8.2: 1 43 odd, 47, 49,51 3/6 8.3 8.3: 1 49 odd, 55 69 odd 3/7 Catch-up QUIZ 2 3/11 9.1 9.1: 1 47 odd, 53 3/13 9.2 9.2: 1 35 odd 3/14 9.3 9.3: 1 29 odd 3/18 9.4 9.4: 1 39 odd 3/19 9.4,9.5 9.5: 1 19 odd, skip 9, 11 3/20 9.5 See above 3/21 9.6, 9.7 9.6: 1 29 odd 9.7: 1 29 odd 3/25 9.8-review 9.8: 1 99 odd 3/26 EXAM 2 3/27 10.1 10.1: 1 49 odd 3/28 10.2 10.2 : 1 41 odd 4/1 10.3 10.3: 1 35 odd 4/2 10.4 10.4: 1-29 odd 4/3 Review 4/4 EXAM 3 4/15 11.1 11.1: 1 43 odd 4/16 11.1 See above 4/17 11.2 11.2: 1 23 odd, 25, 29, 33 47 odd, 55,59,61 4/18 11.2 Quiz 3 See above 4/22 11.3 11.3: 1 57 odd 4/23 11.3 See above 4/24 11.4 11.4: 1 39 odd 4/25 11.5 QUIZ 4 11.5: 1 45 odd 4/29 11.5 11.5: 1 45 odd 4/30 REVIEW 5/1 EXAM 4
5/2 11.6 11.6: 1 35 odd 5/6 11.7 11.7 1 11 odd, 15-29 odd, 37 5/7 11.8 11.8: 1-37 odd 5/8 11.9 11.9: 1,7,9,15,17,21,27,31,39,41 5/9 11.10 11.10: 1 13 odd 5/13 13.1-QUIZ 5 13.1: 1 31 odd 5/14 13.1, REVIEW 5/15 EXAM 5 5/16 13.2 13.2: 1 17 odd, 21 25 odd, 29.31 5/20 13.2 See above 5/21 13.3 13.3: 1 59 odd 5/22 13.3 See above 5/23 13.4 13.4: 1 31 odd 5/28 13.4 See above 5/29 Review 5/30 EXAM 6 6/3 REVIEW 6/8 FINAL EXAM 8 a.m. 11 a.m. **Notes: 1) Students should read the sections assigned before coming to class. 2) This course expects an average of 1 2 hours of homework for every hour spent in class. This means 6 12 hours per week. 3) There is a review at the end of every chapter. These can be helpful in preparing for the exams. 4) This schedule is approximate and there will probably be changes as we move through the semester. 5) Note there is review time scheduled before each exam, this may involve group work that will be graded. The only exception is exam 4. **Note that if we have time it is useful to go briefly over chapter 12, so if we do have time we will insert that into the schedule
Entry Skills Skills the instructor assumes you know prior to enrollement in this course. o Evaluate limit using basic limit theorems and the epsilon-delta definition. o State and apply the definition of the continuity to determine a function s points of continuity and discontinuity. o Differentiate elementary functions using basic derivative theorems and the definition of the deriviative. o Integrate elementary functions using basic derivative theorems and the definition of the definite integral. o Approximate definite integrals using numerical integrations. o Solve derivative application problems including optimization, related rates, linearization, curve sketching, and rectilinear motion. o State integral application problems including area, volume, arc length and work. o State and apply the Mean Value Theorems, Extreme Value Theorem, Intermediate Value Theorem, Fundamental Theorem of Calculus, and Newton s Method. Course Objectives Skills to be learned during this course o Differentiate and integrate hyperbolic, logarithmic, exponential and inverse trig functions. o Evaluate integrals using techniques including integration by parts, partial fractions, trig integrals and trig and other substitutions. o Solve integral application problems including surface area of surfaces of revolution and center of mass o Identify and evaluate indeterminate forms and improper integrals using techniques including L Hopital s Rule. o Graph polar curves and curves described by parametric equations. Determine whether an infinite series converges absolutely, converges conditionally or diverges using techniques including the direct comparison, limit comparison, root, ratio, integral, p-series, nth-term and alternating series tests. o Determine the radius and interval of convergence of a power series. o Compute the sum of a convergent geometric series and a convergent telescoping series. o Determine the Taylor Series of a given function at a given point Student Learning Outcomes 1. Students will set up and solve applications problems involving limits, areas, volumes, arc length, indeterminate forms, center of mass and improper integrals using differentiation and integration techniques with transcendental functions. 2. Students will determine the divergence or type of convergence of various infinite series, find the domain (interval of convergence) of power series and derive and apply Taylor series. 3. Students will graph and analyze curves using parametric equations and/or polar coordinates and solve applications involving functions in either polar or parametric form.
Math 8 Information Sheet First Name Last Name Name you wish to be called if different than above: How did you qualify for this class? Math 7 taken at SMC Calculus 1 taken elsewhere Placement exam Other (Please explain) Please complete the following. Use the extra lines to provide the information about all other SMC courses you have taken, if any. Please include all courses, including those not where you withdrew and those where you did not pass, if any. Math Class PreCalculus (SMC Math 2) Calculus I, (SMC Math 7) Where and when taken If at SMC, instructors name Grade Received What is your planned major and reason for taking Math 8? Is there any further information you would like me to have concerning you or your previous math classes?