Math 250 – Calculus I



Math 180 – Business CalculusSyllabus for section 001 & 002 – Fall, 2011Instructor:Jennifer StrehlerOffice:DP 2741E-mail:strehler@oakton.eduWebsite: for Business, Economics, Social Sciences and Life Sciences, Brief 10th Edition, Hoffman & Bradley, McGraw Hill.MathZone is required for this section.Calculator:A calculator that does not graph is required for exams. A graphing calculator is optional.Office HoursI will be on the Des Plaines campus: 2741 - or by phone: (847)376-7071 during the following times:Monday:7:00 – 7:50Wednesday:7:00 – 7:50Friday:9:30 – 11:50PrerequisitesMAT 140 with a grade of C or better or an appropriate score on the Mathematics Assessment Test.Course (catalog) DescriptionThis course introduces the concepts of functions and relations and the basic ideas of differential and integral calculus with applications to the fields of social science and business. Learning ObjectivesIt is presumed that students will spend a minimum of two hours outside class for each hour in class in order to meet the following objectives: 1.Understand the concept of function and its applications. 2.Understand the concepts of functions, limits, and continuity. 3.Evaluate derivatives of algebraic, exponential and logarithmic functions. 4.Use derivatives to analyze functions and their graphs. 5.Understand the concepts of indefinite integral and definite integral. 6.Evaluate indefinite and definite integrals. 7.Apply the concepts of differentiation and integration in business and social science.Academic IntegrityStudents, 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 ExpectationsYour 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, you will be considered to have been absent for half of the class. Absences due to illness (with a timely doctor’s note) or legal matters (with documentation) will be excused. Unexcused absences will affect your grade as follows: Number of unexcused absencesChange in your course average+ 1.0 %.5– 0.5 %– 1.0 % – 1.5 % – 2.0 %2.5 – 2.5 % etc. etc.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. Academic integrity. All work is expected to be your own. 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 or A135 - Skokie) is another excellent resource for help. The tutoring centers are available Monday – Thursday from 8am – 8pm, Friday from 8am - 4pm & Saturday 10am – 2pm.Students are expected to maintain a classroom environment that allows learning for all students. If you would rather sleep, read extraneous material, send/receive text messages, do homework in class or hold side conversations, you will be asked to utilize one of your absences.I am teaching more than one course this term.? If you send me an e-mail, make sure you put MAT 180 in the subject line of your e-mail so that I know which class you are in (and that your e-mail is not spam!) Please use complete sentences and avoid textspeak in your e-mail.Assignments, Quizzes and ExamsHomework will be done and submitted online using MathZone. If you encounter difficulties, go to the tutoring center or come visit me during my office hours.Homework will be due 5 minutes before class begins on Wednesday.Because of the need to stay current with the material, I can not accept late assignments, but will drop the lowest homework assignment if you have missed no more than 2 classes.There will be approximately 11 quizzes that will be given at the beginning of class. Quizzes cannot be made up, but the lowest quiz score will be dropped if you have missed no more than 2 classes. If it is necessary for you to miss a quiz, a zero will be assigned. Missing more than one quiz will result in zeros being averaged into your grade.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 strehler@oakton.edu .GradingExam 109/21/1118%Exam 210/26/1118% Exam 311/30/1118%Final Exam12/12/1121%Homework Average10% Quiz Average15% Course grades will be determined as follows: 90% - 100%A 80% - 89%B 70% - 79%C 60% - 69%D Less than 60%FA 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 student’s course 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 InformationIf 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. Important Dates August 22Fall, 2011 semester classes begin.August 27 (noon)Last day to submit proof of residency, business service agreements and chargebacks/joint agreements.September 5Labor Day holiday. College closed.September 18Last day to withdraw and have course dropped from record.Last day to change to audit.October 2Incomplete (I) grades from Summer, 2011 semester for which faculty have not submitted final grades will become an "F" after this date.October 8 (noon)Last day for filing Graduation PetitionsOctober 16Last day to withdraw with a "W" from 16-week courses; Students will receive a grade in all courses in which they are enrolled after October 16.November 11Veterans’ Day holiday. College closed.November 14Registration opens for Spring, 2012 semesterNovember 24, 25Thanksgiving recess. College closed.Outline of Topics1.Functions and Limitsa.Functions and their graphsb.Operations with functionsc.Limitsd.Infinity and limitse.Continuity2.The DerivativeDefinition of the derivativeDifferentiation rules for sums, products and quotients of functionsPolynomial, rational and other algebraic functionsThe Chain RuleHigher order derivativesImplicit differentiation3.Further Applications of the Derivativea.Increasing and decreasing functionsb.Extrema and the First-Derivative Testc.Concavity and the Second-Derivative Testd.Optimization Problemse.Business and economics applicationsCurve sketchingDifferentials and marginal analysis4.Exponential and Logarithmic Functionsa.Derivatives of exponential and logarithmic functionsb.Exponential and logarithmic integralsc.Exponential growth and decay5.Integration and Its Applicationsa.Definition and properties of the indefinite integralb.Fundamental Theorem of Calculusc.The area of a region bounded by two graphs6.Techniques of Integrationa.Integration by substitutionb.Integration by parts and present valuec.Integration tables and completing the square7.Functions of More than One Variablea.DefinitionPartial derivatives8. Recommended TechnologyGraphically, numerically and/or symbolically find limitsGraphically, numerically and/or symbolically find derivativesNumerical and symbolic integrationMath 180 – Fall, 2011Computing your gradeScore on Exam 1 ___________________ x 0.18 =_____________Score on Exam 2 ___________________ x 0.18 =_____________Score on Exam 3 ___________________ x 0.18 =_____________Homework Average___________________ x 0.10 =_____________ Quiz Average ___________________ x 0.15 = _____________Score on Final Exam ___________________ x 0.21 = _____________Total _____________ don’t forget to add/subtract the appropriate percentage based on attendance!Homework Scores:Quiz Scores:HW 1 __________________HW 2__________________HW 3__________________HW 4__________________HW 5__________________HW 6__________________HW 7 __________________HW 8 __________________HW 9__________________HW 10__________________HW 11__________________HW 12__________________HW 13__________________HW 14__________________HW 15 __________________ HW 16 __________________ Average __________________ (be sure to drop your lowest grade, if applicable)Quiz 1__________________Quiz 2__________________Quiz 3__________________Quiz 4__________________Quiz 5__________________Quiz 6__________________Quiz 7__________________Quiz 8__________________Quiz 9__________________Quiz 10__________________Quiz 11 __________________ Average __________________ (be sure to drop your lowest quiz, if applicable) ................
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