UNIVERSITY OF THE VIRGIN ISLANDS MATHEMATICS 232 CALCULUS FOR BUSINESS AND SOCIAL SCIENCE MAJORS (4 credits) COURSE DESCRIPTION: Students will be introduced to calculus with emphasis on techniques, graphs and applications rather than theory. Topics include functions; limits; continuity and rates of change; the derivative; exponential and logarithmic functions; anti- differentiation; the definite integral; and functions of several variables. PREREQUISITES: MAT 140 or 143 REQUIRED MATERIALS: TEXT: Calculus for Business, Economics, Life Sciences, and Social Sciences (11th edition) by Barnett, Ziegler, and Byleen. GRAPHING CALCULATOR: TI-83 or TI-83+ or TI-84+ (highly recommended) or equivalent BLACKBOARD ACCESS: http://blackboard.uvi.edu OBJECTIVES: By the end of the course students should be able to successfully: • Understand an algebraic approach to calculus concepts; • Apply, interpret and communicate the results of techniques in calculus; • Use technology, when appropriate, to analyze graphs and data. COURSE POLICIES: 1. Students who attend regularly tend to do better in the course. Therefore, students are advised and expected to attend all classes. Please note that YOU are held responsible for all materials covered and all announcements made in class or posted on Blackboard. A participation grade will depend in part on your presence. 2. Cheating will not be tolerated. See pp. 57-59 of the UVI catalog for University policy on Academic Integrity. 3. Cell phones should be turned off prior to the start of class. HOMEWORK: • Homework will usually be assigned and posted on Blackboard, collected and given a grade. Late homework will be penalized. • Homework assignments will be the basis for exam and quiz questions. 2 • Doing the homework well will be the best preparation for exams and will contribute up to 17% of your grade. QUIZZES: • Quiz problems will reflect the type and difficulty level of the homework problems. • Up to eight quizzes will be administered. Details for each quiz will be given in class. Each quiz is worth 10-25 points. • Quizzes will normally be given at the beginning of a class. No quiz can be made up. • Any take-home quizzes assigned must be done without any collaboration except with the instructor. GROUP ACTIVITIES: • There will be up to 3 group activities assigned throughout the semester. • Each activity is worth up to 10 points, for a maximum of 30 points. • The group activities serve to emphasize the concepts presented in the previous chapter. IN-CLASS EXAMS: • Four in-class exams will be administered during the semester. • These exams will constitute 44% of your grade. • If the lowest in-class exam score is lower (in percentage) than the final exam score, that low exam score will be replaced by the final exam score (scaled to match the in-class exam). • No make-up exams. One missed exam can count as the “lowest” described above. Any other missed exams will count as a zero unless the absence is appropriately documented. FINAL EXAM: • A comprehensive final exam worth 120 points will be administered. • The final exam cannot be made up. It is scheduled for Wednesday, May 6, 2009, from 10:15 am to 12:15 pm. GRADING: A summary of the grading scheme for this course is given in the table below. Source Points each Total points Percent of course Quizzes (8) 10-25 200 27% In-class exams (4) 80 270 36% Group activities, homework, and participation 5-10 160 21% Final exam (1) 120 120 16% Total points possible 750 100% 3 The University scoring schedule for course grades is the following: A 93% - 100% C 73% - 76% A - 90% - 92% C - 70% - 72% B+ 87% - 89% D+ 67% - 69% B 83% - 86% D 60% - 66% B - 80% - 82% F 0% - 59% C+ 77% - 79% The final % will be determined by dividing the total points earned by the total points possible (750). PACING SCHEDULE Weeks Sections to be covered Topics to be covered 1 1.1 to 1.4 Elementary Functions: Linear, quadratic, absolute value 2 2.1 Polynomial, rational functions, Exam 1 3,4 3.1 to 3.3 Limits, continuity, and the derivative, Exam 2 5,6 3.4 to 3.7 Product, Quotient, and Chain Rule; Marginal Analysis, Exam 3 7-9 4.1 to 4.4 Graph sketching and Optimization, Exam 4 10, 11 5.1 to 5.5 Derivatives of Exponential and Logarithmic Functions 12 6.1 to 6.4 Integration 13 6.5 to 7.1 Area Under a Curve 14 Review for final exam