ࡱ> %` 6>bjbjNN T,,66RRRRRRR$v>,>,>,>,<z,vbB2z-----k.k.k.AAAAAAA$ChEBR/k.k.//BRR--B*2*2*2/jR-R-A*2/A*2*2V9@RRU:-n- },x>,J09 =2B0bB9xF1FU:U:FRi=k.>.,*2.$.k.k.k.BB 2 k.k.k.bB////vvv%:+vvv:+vvvRRRRRR Math 251 Calculus II Syllabus for section 001 TR 10:00 11:50 in 2755 Instructor: Jennifer Strehler Office: DP 2741 Phone: (847) 376-7071 E-mail: strehler@oakton.edu Website: http://www.oakton.edu/~strehler Textbook: Thomas Calculus Early Transcendentals, 11th edition Calculator: A graphing calculator is strongly recommended (TI 83 suggested) Office Hours:MondayTuesdayWednesdayThursdayFriday9:30 10:209:30 9:559:30 10:209:30 9:55 12:00 2:009:30 10:20 Prerequisites  HYPERLINK "http://www.oakton.edu/acad/dept/mcs/mat/syllabi/math250.htm" MAT 250 with a grade of C or better. Course (catalog) Description Course is second in calculus and analytic geometry. Content focuses on differentiation and integration of transcendental functions such as inverse trigonometric functions; hyperbolic functions and inverse hyperbolic functions; applications of the definite integral; polar coordinates; techniques of integration and improper integral; vectors operations and vectors functions. Calculators/computers used when appropriate. Learning Objectives It is presumed that students will spend a minimum of three hours outside class for each hour in class in order to meet the following objectives: A. Evaluate definite integrals by using substitution, integration by parts, and tables.B. Evaluate improper integrals.C. Use integrals to find area, volume and arc length; application to physics and engineering.D. Evaluating differential equations by Euler's method and the separation of variables.E. Evaluating infinite sequences and series.F. Use convergence tests and estimating series.G. Use power series and representing functions by power series.H. Use Taylor and Maclaurin series. I. Understand two dimentional vector functions and their applications.J. Understand polar equations and their application to differentiation and integration.H. Use technology for evaluating integrals, series, and polar and parametric equations. Academic Integrity Students, Faculty and administration at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits: cheating, plagiarism (turning in work not written by you or lacking proper citation), falsification and fabrication (lying or distorting the truth), helping others to cheat, making unauthorized changes in official documents, pretending to be someone else or having someone else to pretend to be you, making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity. There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students with a fair hearing if a complaint is made. If you are found to have violated the policy, the minimum penalty is failure on the assignment and a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years. Details of the Code of Academic Conduct can be found in the Student Handbook. Course Expectations Your regular attendance is expected and will be important to your success in this class. As such, an attendance sheet will circulate each class meeting. It is your responsibility to make sure that you sign the attendance sheet each session. Coming to class late (or leaving early) is a distraction. If it is necessary for you to leave early - or if you arrive late (for whatever reason), you will be considered to have been absent for half of the class. Absences in excess of four will result in lowering your grade 10%, with the exception of illnesses, which require a doctor's note in order to be excused. Dont use up all your absences frivolously at the beginning of the semester; you may need them unexpectedly at the end of the semester. If it is necessary for you to miss class, you are still responsible for the material missed. You may find it beneficial to exchange phone numbers with a 'study buddy'. Office hours will not be used to replace regular class attendance. Every student is expected to participate in class during group work and lecture. Come prepared for class. This includes: Study the appropriate section(s) in the textbook. Review the lecture notes. It is highly recommended that you review each lecture on the day it was presented. Do all assigned homework. Prepare for the next class by reading section(s) to be covered at the next class session. Ask for clarification if you don't understand something. If you don't feel comfortable asking questions in class, please ask them via e-mail or during office hours. The tutoring center (room 2400 DP) is another excellent resource for answers. Academic integrity. All work is expected to be your own. Students are expected to maintain a classroom environment that allows learning for all students. If you would rather sleep, read extraneous material, do homework in class or hold side conversations, you will be asked to utilize one of your absences. Assignments, Quizzes and Exams Homework consists mainly of odd-numbered problems, which have answers in the back of the book. You must CHECK EACH ANSWER to each problem, and, if you can't get it right, ask me about it during my office hours or get help in the tutoring center. Checking your answer does not mean that you should merely copy the answer from the back of the book onto your paper. I expect you to do the problem on your own - and compare your answer with the book's answer. If your answer is not right, draw a line through it and try to figure out where you went wrong. If youre stumped, go to the tutoring center or visit me during my office hours. Homework will be collected on a weekly basis at the beginning of Thursday's class (within 5 minutes of the start of class). If it is necessary for you to miss a class, check the website or check with a classmate to see what material is due. Late assignments will not be accepted (for whatever reason). You will, however, be allowed to drop your lowest homework grade. Your second lowest homework assignment will be dropped if you have missed no more than two classes. Again, it is not wise to use up your allowed dropped assignment(s) at the beginning of the semester; you may need it unexpectedly at the end of the semester (car trouble, etc). If you do not turn in the assignment at the beginning of class, turn it in to me before it is due during my office hours or to the faculty support office (RHC) or the Division 2 office (DP). Do not leave assignments anywhere other than the Division 2 office (DP). Homework must be done in pencil on 'loose-leaf' paper (no 'ragged edges') and multiple page assignments should be stapled. It will not be accepted otherwise. Your homework grade for the term can easily be 100% if you complete all assignments on time. Percentages will be assigned as follows: 100% means that you did (nearly) all problems correctly and showed your work for all problems. 75% means that you did (roughly) 75% of the problems correctly and showed all your work for these problems. 50% means that you did (roughly) half of the problems correctly and showed all your work for these problems. 25% means that you only did 25% (or so) of the problems correctly and showed all your work for these problems. I reserve the right to use percentages other than these to reflect the amount of work done. There will be approximately 10 quizzes and they may or may not be announced in advance. Quizzes cannot be made up, but the lowest score will be dropped if you have missed no more than two classes. If it is necessary for you to miss an assignment, a zero will be assigned. There will be three hourly exams and a comprehensive final exam. The dates of these exams are listed below. As a rule, make-up exams are not put in the testing center. The instructor will only put one make-up exam per student in the testing center per semester and the exam will only be placed in the testing center by the instructor per student request and only on the condition that a serious, unavoidable reason is provided in writing as to why the student is/was not able to take the exam at the arranged time in class. It is generally the case that makeup exams are more difficult than the exam given during the usual meeting time. All make-up exams MUST be taken BEFORE the exam is reviewed the next period. If it is necessary for you to miss an exam for unexpected reasons, it is YOUR responsibility to contact me BEFORE the start of class at (847) 376-7071. Grading Exam 1 02/19/09 18% Exam 2 04/02/09 18% Exam 3 04/30/09 18% Homework Average 10% Quiz Average 15% Final Exam 05/14/09 21% Course grades will be determined as follows: 90% - 100% A 80% - 89% B 70% - 79% C 60% - 69% D Less than 60% F A grade if "I" (Incomplete) must be formally requested of the instructor by the student and may be granted only if the student has missed no more than one test for the entire term and the students average is at least 70. The decision to grant the "I" grade will be made by the instructor alone. No incomplete grades will be given without documented evidence of serious illness or circumstances. Other Course Information Important Dates: January 20Spring 2009 semester classes begin January 24 noon Last day to submit proof of residency, business service agreements and chargebacks/joint agreements February 15 noon Last day to withdraw and have course dropped from record Last day to change to Audit for 16 week course February 16Presidents Day Holiday, College closed February 22 noon Incomplete (I) grades from Fall 2008 semester for which faculty have not submitted final grades will become an "F" after this date. March 7 noon Last day for filing Graduation Petitions March 15 noon Last day to withdraw with a W from 16-week courses Students will receive a grade in all courses in which they are enrolled after March 15. March 16 - 22Spring Break March 23Classes resume after Spring Break March 30Registration opens for Summer 2009 semester April 13Registration opens for Fall 2009 semester May 15, 18Evaluation Days  If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in Instructional Support Services. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program. Outline of Topics A. Techniques of Integration1. Integration by parts 2. Integration by substitution a) Partial fractions b) Trigonometric substitutions 3. Integration using tables B. Improper Integrals1. L'Hopital's rule 2. Infinite limits of integration 3. Integration over discontinuitiesC. Applications of the Definite Integral1. Volumes using the cross-sectional area 2. Volumes of solids of revolution 3. Arc length 4. Work, hydrostatic pressure and force, moments, and center of massD. Modeling and Differential Equations1. Exponential growth and decay 2. Separable differential equations 3. Logistic modelsE. Infinite sequences and series 1. Sequences and series 2. Geometric series 3. Tests for positive terms (integral, comparison, ratio, nth root) 4. Alternating series 5. Absolute and conditional convergence 6. Power series 7. Taylor and Maclaurin series 8. Applications including binomial series and solution to differential equationsF. Polar coordinates1. Graphing with polar coordinates 2. Integration and differentiation using polar coordinates 3. Applications including area and arclength and surface area G. Vectors and vector functions1. Two-dimentional vectors and dot products 2. Vector-valued functions 3. Projectile motionH. Recommended Technology1. Use of technology to evaluate integrals 2. Use of technology to investigate improper integrals 3. Use Euler's method and technology to evaluate differential equations 4. 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