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MDC MAC 2233 - Syllabus

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Miami Dade College InterAmerican Campus Mathematics Department MAC 2233 Business Calculus Fall 2011-1 Name: Dr. Jose Serpa Phone: 305 237 6110 Office: 1369 Email: [email protected] Ref# 642716 Meeting Days: M,W,F 7:00 – 7:50 am Room: 1374 TEXT: Bittinger, Marvin L; Ellenbogen David J. Calculus and Its Applications, 10th Edition Pearson-Addison Wesley PREREQUISITE: MAC 1105 with a grade of C or better or equivalent COURE DESCRPTION: This is a survey of differential and integral calculus. Topics include: limits, continuity, differentiation and integration of algebraic, logarithmic and exponential functions; applications to business, life sciences, and social sciences. Pre-requisite: MAC 1105 with a grade of C or better or equivalent. CALCULATORS: You will need a scientific calculator. If you have a graphing calculator, you are encouraged to use it, although you will not be able to use it for tests. TESTING AND GRADING POLICY: There will be five tests worth 100 points each and a comprehensive mandatory Final Exam. HW will be posted online and will count as extra credits 10 points each. The lowest grade among all five tests will be dropped. There will be no makeups. The Final Exam may NOT be dropped. Your final grade will be based on the average of your four best test scores and the Final Exam. I may assign the seating during any of the tests or Final Exam. GRADING FORMULA: (sum of four best test scores with extra credits included+ final exam) / 5 GRADING SCALE: A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: below 60 INCOMPLETES: Incompletes will be given in very limited situations. In order to qualify for an “I” grade, the student must be passing the course at the time the “I” grade is negotiated; be so near the end of the course that he/she requires no further instruction; and have a justifiable and documented reason for not being able to finish the course on schedule. ATTENDANCE: Roll will be taken at the beginning of every class. Attendance is highly encouraged. Students are responsible for all material covered and/or distributed in class. MATH LAB: Available on Campus, Room 1375WIDTHDRAWAL POLICY: If you decide to withdraw from this course it is your responsibility to do so in order to receive a grade of “W”. Drop/withdrawals should be conducted through the office of the registrar. CLASSROOM BEHAVIOR: Beepers and cellular phones must be turned off before class. Taking a call in class or leaving class to do so is extremely rude and offensive. Please, be prompt. Late arrivals are very disturbing for the instructor and disruptive to fellow students. You should plan to leave enough time to allow for traffic, parking, inclement weather, etc. Cheating: Cheating will not be tolerated in this course. Any student caught will receive an automatic F in the course. TENTATIVE BREAKDOWN OF EXAMS TEST I: 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8 TEST II: 2.1, 2.2, 2.3 TEST III: 2.4, 2.5, 2.6, 2.7 TEST IV: 3.1, 3.2, 3.3, 3.4, 3.5 TEST V: 4.1, 4.2, 4.3, 4.4 FINAL EXAMCourse Competencies: Competency 1: The Student will demonstrate knowledge of limits of algebraic, logarithmic, and exponential functions by: a. evaluating limits using table of approximating values. b. evaluating limits using graphs. c. determining where a function is continuous or discontinuous. d. evaluating limits algebraically. Competency 2: The Student will demonstrate knowledge of differentiation of algebraic, logarithmic, and exponential functions by: a. applying the fundamental rules of differentiation. b. using derivatives to find the equation of a tangent line. d. applying the chain rule for differentiation. e. using implicit differentiation. Competency 3: The Student will demonstrate knowledge of curve sketching of algebraic, logarithmic, and exponential functions by: a. using the first derivative to determine the interval of increase or decrease. b. using the first derivative to determine the relative extrema of functions. c. using the second derivative to determine the concavity of functions. d. using the second derivative to determine points of inflection. e. applying first or second derivative to determine the absolute maxima and minima. f. finding asymptotes. g. using calculus to draw the graphs of functions. Competency 4: The Student will demonstrate knowledge of applications of derivatives to business, life sciences, and social sciences by: a. solving rate of change problems. b. solving optimization problems. c. using differentials to approximate the change in functions. d. solving problems involving marginal analysis. e. using graph of real data to determine and interpret rates of change, maxima and minima. f. interpreting numerical results. Competency 5: The Student will demonstrate knowledge of integration of algebraic, logarithmic, and exponential functions by: a. applying the fundamental rules of integration. b. using substitution to find indefinite integrals. c. evaluating definite integrals. d. using definite integrals to find areas between curves.I reserve the right to make changes in this syllabus as needed. Any changes will be announced in class as early as possible Week Date Topics 1 M Review, Chapter R Functions, Graphs W Review, Chapter R Functions, Graphs F 1.1 Limits: A numerical and Graphical Approach 2 M 1.1 Limits (cont) 1.2 Algebraic Limits and Continuity W 1.3 Average rates of Change F Review 3 W 1.4 Differentiations using Limits of Difference Quotients F 1.5, 1.6 Differentiation Techniques 4 M 1.5, 1.6 Differentiation Techniques W Review F Test I ( 1.1 – 1.6) 5 M 1.7. 1.8 The Chain Rule. Higher-Order Derivatives W 1.7. 1.8 The Chain Rule. Higher-Order Derivatives F Review 6 M 2.1 Using First Derivatives to Find Extreme Values and Sketch Graphs W 2.2 Using Second Derivatives to Find Extreme Values and Sketch Graphs F 2.3 Graph Sketching: Asymptotes and Rational Functions 7 M 2.3 Graph Sketching: Asymptotes and Rational Functions W Review F Test II (1.7, 1.8, 2.1 – 2.3) 8 M 2.4 Using Derivatives to Find Absolute Maximum and Minimum Values W 2.4 Using Derivatives to Find Absolute Maximum and Minimum Values F 2.5 Maximum –


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