Math 250 – Calculus I



Math 180 – Business CalculusSyllabus for section OC1 – Fall, 2014Instructor:Jennifer StrehlerOffice:DP 2162E-mail:strehler@oakton.eduWebsite:, Calculus for Business, Economics, Life Sciences & Social Sciences, 13th ed.MyLabsPlus (not MyMathLab) is required for this section.Calculator:A graphing calculator is strongly recommended (TI 83 suggested) A calculator without the ability to graph (and without trig/log functions) is required.Office HoursSince this is an online class, most of our communication will be online. If you have a question about a specific problem in the homework, please use the "ask my instructor" link in the homework software (I get a copy of the problem you're working on this way!) I will also be on the Des Plaines campus: 2162 - or by phone: (847) 635-1974 during the following times:Monday:12:00 – 2:00Tuesday:10:00 – 2:00Thursday: 10:00 – 2:00Friday:12:00 – 2:00PrerequisitesMAT 140 with a grade of C or better or an appropriate score on the Mathematics Assessment Test.. It is presumed that you recall the material from Intermediate Algebra (MAT 140), as there is no time to review in this course.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 10 hours per week in independent study (reading the text, doing homework, working unassigned problems) in order to meet the following objectives: 1.Graph and perform operations with rational, exponential and logarithmic functions. pute limits of functions. 3.Determine continuity of functions. 4.Use the definition of the derivative to differentiate basic functions.. 5.Use differentiation rules to evaluate derivatives of algebraic, exponential and logarithmic functions. 6.Use derivatives to solve optimization problems, motion problems, and problems involving rates of change. 7.Use derivatives to analyze functions and their graphs. 8.Evaluate indefinite and definite integrals using various techniques of integration including substitution and integration by parts. 9.Calculate areas between curves using definite integrals.10.Calculate partial derivatives of functions of more than one variable. 11.Apply the concepts of differentiation and integration to business and social science models.12.Use technology to find limits, derivatives, and integrals.Academic IntegrityStudents and employees 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, unauthorized changes on official documents, pretending to be someone else or having someone else 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 a fair hearing if a complaint is made against you. 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 ExpectationsI expect that you will log into MyLabsPlus and work regularly (at least two times each week) toward the successful completion of this course.I expect that your schedule will allow you to complete all assignments and take the exams /quizzes when they are scheduled. All exams, quizzes and assignments have firm due dates and requests for extensions will NOT be granted. The exams will be available in the testing center the week prior to the exam due date. Quizzes and homework can be completed early.Academic integrity. All work is expected to be your own. Ask for help when you need it. The tutoring centers (room 2400 DP in Des Plaines and A135 in Skokie) and my office hours are excellent resources for help. The tutoring centers are available Monday – Thursday from 8am – 8pm, Friday from 8am - 4pm & Saturday 10am – 2pm.A calculator without the ability to graph (and without trig/log functions) is required for the exams. As such, it is best to practice solving problems in the method described in the text. For example, you will need to memorize the shape of fundamental curves and transform them to obtain new curves. CommunicationI will send several e-mails to the entire class during the course of the semester. It is your responsibility to ensure that the e-mail address on file with the registrar is the address to which you wish to receive course communication. Please use e-mail as your primary means of communication. I will read and respond to e-mail at least once a day during the week. The time I check my e-mail is likely to be irregular. If you send me a message at 8:30 am & I checked my e-mail at 7:30 that morning, I may not get your message until whenever I check e-mail the next day. It is not guaranteed that I will check e-mail on weekends.I am teaching more than one course this term and also serve as the department chair. 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 ExamsAll homework, quizzes and exams have firm dates. Extensions will NOT be granted.Date Due08/29/14Getting to know you assignment due 09/14/14Chapter 1 homework and quiz due09/28/14Chapter 2 homework and quiz due09/23/14 – 09/30/14Exam 1 (chapters 1 & 2) available10/19/14Chapter 9 homework and quiz due11/02/14Chapter 10 (incl. 2.2) homework and quiz due10/28/14 – 11/04/14Exam 2 (3 & 4) available11/16/14Chapter 5 homework and quiz due11/30/14Chapter 6 homework and quiz due12/07/14Chapter 7 homework and quiz due12/02/14 – 12/09-14Exam 3 (chapters 5, 6 & 7) available12/09/14 – 12/16/14Final exam (chapters 1 – 7) availableHomework will be done through MyLabsPlus and is based on chapters 1-7 of the textbook. Homework must be completed according to the schedule above. There will be ten chapter quizzes, which will be administered through MyLabsPlus. Quizzes must be completed according to the schedule above. In order to take a quiz, you must have completed all homework for that chapter with a score of at least 70%. If you do not have at least a 70% on each assignment, you will not be able to take that chapter quiz.There will be five exams that will be administered at the testing center located on the Des Plaines campus of Oakton Community College. The hours of our testing center are:Mon – Thurs:? 8:00 – 8:00Friday:?? 8:00 – 4:00 Saturday: 10:00 – 2:00 If you need to take the exam at the Skokie campus, it is your responsibility to inform me no later than September 6th. If you are not able to take the exams at one of our campuses, please contact Robin Nash at rnash@oakton.edu in order to make alternative arrangements as soon as possible. Arrangements must be made with the facility that will proctor your exam no later than September 6th.You will be given 2 hours to complete each of the first 4 exams. If you arrive within 2 hours of the close of the testing center, you will only be allowed to work on the exam until the testing center closes and no additional time will be given for the exam. You will have 3 hours for the comprehensive final and should arrive at the testing center at a time that will allow you to complete the exam. The dates that these exams are available are listed below. GradingMyLabsPlus shows a current average that is never accurate. Course grades will be computed as follows:Exam 1Available 09/23/14 – 09/30/1413%Exam 2Available 10/28/14 – 11/04/1413% Exam 3Available 12/02/14 – 12/09/1413%Final ExamAvailable 12/09/14 – 12/16/1421%Homework Average20% Quiz Average20% 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 Access and Disability Resource Center at the Des Plaines or Skokie campus.? 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 25Spring 2014 semester classes begin September 1Labor Day holiday, College closedSeptember 2 Last day to submit proof of residency, business service agreements and chargebacks/joint agreements September 21Last day to drop from 16-week courses and have course dropped from recordSeptember 22Last day to change to audit for 16-week coursesOctober 5Incomplete (I) grades from Summer, 2014 semester for which faculty have not submitted final grades will become an "F" after this date. October 10 Last day for filing Graduation PetitionsOctober 26Last 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 26.November 11Veteran’s Day holiday, College closedNovember 19Registration opens for Spring 2015 semesterNovember 27, 28Thanksgiving Recess. College closedNovember 29, 30Thanksgiving Recess, no classes – College open (most offices closed)December 16, 17Evaluation DaysIf 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 Access and Disability Resource Center at the Des Plaines or Skokie campus. 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 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 integration ................
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