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Unformatted text preview: OAKLAND UNIVERSITY COLLEGE OF ARTS AND SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS STUDENT INFORMATION SHEET AND SYLLABUS COURSE: MTH 122, Calculus for the Social Sciences, 4 Credits SEMESTER; Fall 2011 Instructor Office Phone Email Hours Section Time Room Cahlon 550 SEB 248-370—3435 [email protected] TBA 40476 MWF 10:40-11:47 168 SEB Turett 450 SEB 248—370-4023 [email protected] TBA 40477 MWF 12:00-1:07pm 168 SEB SI MWF 1:20-2:27 I30 SEB Perla 544 SEB 248—370-3429 [email protected] TBA 40478 TR 7:30-9:17 163 SFH Attendance at every class is expected. COURSE (CATALOG) DESCRIPTION: The basic concepts, theorems and applications to the social sciences of the differential and integral calculus of one and several variables. Satisfies the university general education requirement in Formal Reasoning. PREREQUISITES: A 2.0 or better in MTH 121, MTH 141, an equivalent course at another school, or placement “C”. Prerequisites are strictly enforced: if you do not meet the prerequisite, you will not be permitted to remain in the course. In order to do well in this course, you need to have intermediate algebra and basic analytic geometry skills. Students are sometimes unaware, until after they have taken a college mathematics course, how much more emphasis is placed in college courses on understanding and applying concepts, as opposed to learning to perform routine computations. Indeed, understanding of mathematical concepts and their applications are the central issues of college-level work. Students who have not been in such courses often underestimate the amount of time and hard work needed to succeed. GENERAL EDUCATION LEARNING OUTCOMES: The student will demonstrate: knowledge of one or more formal reasoning systems such as computer programming, mathematics, statistics, linguistics or logic application of formal reasoning to read, understand, model and solve problems across a wide variety of applications CROSS-CUTTING CAPACITIES: Critical Thinking COURSE OBJECTIVES: The successful student in this class should develop an understanding of the basic concepts of limits, continuity, differentiation, and integration, study some applications of differential and integral calculus to curve sketching, determining optimum values ofa function (e.g., maximizing profits) area of a region, etc., and develop an understanding of the concepts of mathematical reasoning and appropriate (algebraic and analytical) problem solving skills as may be applied to models in the Social and Biological Sciences. TEXT: Finite Mathematics and Applied Calculus, 5th Edition, by Waner & Costenoble, published by Thompson —Brooks/Cole. T he material to be covered is contained in chapters 1 1~15 (see syllabus below). You are expected to purchase a copy of this textbook. A student solutions manual, containing worked-out solutions to many of the exercises, is available at the book center, but its purchase is totally optional (homework will be assigned from both those exercises that have answers in the back of the text and/or solutions in the manual and those that do not). In addition, a copy of the textbook, student solutions manual, alternative textbooks, and other material will be available on 2-hour reserve at Kresge Library. CALCULATOR POLICY: For this course you will need a calculator with exponential and logarithmic functions. You may use the calculator on all exams, quizzes, and homework assignments, and it is important to learn to use it effectively. In particular, know how to do complex calculations without writing down intermediate answers, and be aware of how many digits of accuracy you can expect an answer to have. To receive full credit on exams, be sure to show all the mathematical work necessary for setting up a calculation before using the calculator. Try' to use your calculator imaginatively, too; for example, calculators often provide you with ways to verify an a nswer (eg. by graphing with a graphing calculator, or plugging in particular values of variables). Using a calculator to store formulas you need for an exam is not permitted. COMPUTER USAGE AND WEB RESOURCES: Computer laboratories are not a formal part of this course. However, there are some excellent packages such as Excel and Maple available on main—frame and micro-computers that support many of the course objectives. The primary web resource for this course is on Moodle. This site provides access to a more detailed course syllabus with learning objectives for each section, project materials, an archive of old exams. Note that your Moodle page includes a “global” MTH 122 listing containing information that applies to all sections (including this document), as well as a separate entry containing information that is specific to your section. You should make a habit of checking both sites regularly for new or updated information. The textbook publisher has also provided web resources for the text that you may find useful. Follow the instructions on the card that came with your copy of the text to access these resources. This site provides on-line tutorials, chapter and section reviews, plus a variety of on-line or downloadable utilities that may be useful for homework or the project. EXAMS: There will be 3 in-class exams, each worth 100 points. In the daytime sections they are scheduled for September 30, October 28 and November 21. Exams, as well as any quizzes and the final examination (see below) are closed book exams. QUIZZES, HOMEWORK AND PARTICIPATION: Homework will be assigned regularly. Each instructor will decide upon the combination of quizzes, submitted homework, and other kinds of student participation as best fits their instructional style. The combined score from these activities will be 35 points. The exact method for their determination in each section will be announced by the instructor and will be available in the Moodle entry for your section or on your instructor’s homepage. FINAL EXAM: The final examination, which is comprehensive, is worth 200 points. It is scheduled on December 9 from 8:00 AM-10:45 AM, for all sections of the course. The rooms for the examination will be announced later. EMERGENCY CLOSING: If the University is closed at the time of a scheduled exam or quiz (for example, because of snow), it will be given during the next class period when the University reopens. The Oakland University emergency closing number is 370-2000. GRADING POLICY: Your course grade will be based upon the percentage of total points you have earned out of the 535 points available to you (100 points for each exam, 35 points for the graded homework and/or quizzes, and 200 points for the final examination). There is no fixed grading scale for this course; a conversion formula from your percentage score to an Oakland University grade will be determined at the end of the course. However, the following list shows the lowest possible grade that a given percentage score will earn (the grade may be higher than this): 95%—-> 4.0, 80%—-> 3.0, 65%.—->2.0, 50%--> 1.0, less than 50%-—> 0.0. . After each exam, an indication of class performance on that exam and an approximate grade conversion for that exam will be announced. MAKE—UP POLICY: No make—up exams or make-up quizzes will be given Ifyou miss one (respectively, two, three) exam(s) and have a valid excuse, your final exam will count 300 (respectively, 400, 500) points; otherwise the missed exam will be counted as a 0. An excused absence from a quiz will result in the average of the scores on the other quizzes being substituted for the score on the missed quiz. ACADEMIC HONESTY: Cheating is a serious academic crime. Oakland University policy requires that all suspected instances of cheating be reported to the Academic Conduct Committee for adjudication. Anyone found guilty of cheating in this course will receive a course grade of 0.0, in addition to any penalty assigned by the Academic Conduct Committee. Working with others on a homework assignment does not constitute cheating; handing in an assignment that has essentially been copied from someone else does. Receiving help from someone else or from unauthorized written material during a quiz or exam is cheating, as is using a calculator as an electronic "crib sheet." STUDY HABITS: Cultivating good work and study habits is necessary for doing well in mathematical sciences courses. You should keep on top of the subject by doing large amounts of homework (frequently working on problems not assigned), regularly reviewing earlier material, asking questions in class, and making good use of your instructor’s office hours and the Academic Skills Center. If you are having difficulty with some concept or mathematical procedure, you should get it clarified as soon as possible. If you make mistakes on exams or quizzes, rework these problems with the idea that you will not make similar mistakes later. Regular reviewing of older V material in the course will put you in good stead when it comes to final exam time. This will help you to avoid the usual non-retention problems students encounter at the end of the course. You should expect that doing all of these things will take at least two hours outside of class for each hour in class. Many students find it helpful to spend some of this time working with others, in study groups. DROPPING THE COURSE: The Department of Mathematics and Statistics is committed to achieving the goal of an academically sound freshman and sophomore mathematical sciences curriculum in which most conscientious Oakland University students can expect to be successful. If you are considering dropping the course and wish to discuss the matter further, you are encouraged to contact your instructor. IMPORTANT DATES September 1 September 5 September 15 November 3 November 24—27 December 3 December 9 SYLLABUS (day sections) Week of Monday 8/29 9/5 9/12 9/19 9/26 10/3 10/10 10/17 10/24 10/31 11/7 11/14 11/21 11/28 12/5 CONTENT SUMMARY Classes begin Labor Day Recess Last day for tuition refund and “no record” drops Last day for official withdrawal (W grade) Thanksgiving Recess Classes end Final Examination all sections 8:00 AM — 10:45 AM M Labor Day recess 10.5 (10.7) 11.1 (11.2) 11.4 11.5 (11.3) 12.2 13.1 13.3 13.4 (15.3) 15.2 15.4 exam 3 15.6 Section Title — Waner & Costenoble 5‘h Edition Section 10.1 Limits: Numerical & Graphical Approaches Section 10.4 Average Rate of Change Section 10.5 Derivatives: Numerical and Graphical Viewpoints Section 10.6 The Derivative: Algebraic Viewpoint Section 1 1.1 Derivatives of Powers, Sums, and Constant Multiples Section 11.2 A First Application: Marginal Analysis Section 1 1.3 The Product and Quotient Rules Section 11.4 The Chain Rule Section 1 1.5 Derivatives of Logarithmic and Exponential Functions Section 12.1 Maxima and Minima Section 12.2 Applications of Maxima and Minima Section 12.3 The Second Derivative and Analyzing Graphs Section 13.1 Indefinite Integrals Section 13.2 Substitution W 10.1 10.5 (10.8 )11.2 review 12.] 12.2 13.2 review 13.4 15.3 15.6(15.5) 15.6 review Section 13.3 The Definite Integral: Numerical and Graphical Approaches Section 13.4'The Definite Integral: Algebraic Approach, and the Fundamental Theorem of Calculus Section 15.1 Functions of Several Variables from the Numerical and Algebraic Viewpoints Section 15.2 Three Dimensional Space and the Graph of a Function of Two Variables Section 15.2 Partial Derivatives Section 15.4 Maxima and Minima (of a Function of Two Variables) Section 15.5 Double Integrals F Preliminaries 10.4 10.6 (11.1 )11.3 exam 1 12.1 12.3 13.3 exam 2 151,152 15.4 review Thanksgiving Recess review Final exam 8:00-10:45 am. ...
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