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FINITE MATHEMATICS FOR BUSINESS – FALL 2011 67-204-009 MTuWF: 3:00 PM – 4:00 PM Instructor: Dr. Kandasamy Muthuvel Phone:424-0301 S. Halsey 309 Office: Swart 243 Email: [email protected] Office hours: MTuWF: 10:20 AM – 11:20 AM, MTuWF: 2:15 PM – 2:45 PM, Others by appointment Text: Finite Mathematics for Business, Economics, Life Sciences and Social Sciences, 12th edition by Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen Calculator: TI-83, TI-83+ or TI-84 Graphics Calculator is required. Bring your calculator to class every day. Prerequisites: Math 103 or Math 104 with a grade C or above Course Description: This course is designed to acquaint business students with mathematical techniques, which are useful in business and management. Topics include Basic Algebra, Functions, Mathematics of Finance, Systems of Linear Equations, Linear Programming, Probability and Data Description. We will cover most of the materials in Appendix A, Chapters 1, 2, 3, Sec. 4.1, Chapters 5, 7, 8 and selected sections from Chapter 11. General Goals and Objective for the Course: Identify the basic graphs and properties of polynomial, rational, exponential, and logarithmic functions. Apply the knowledge of functions to business applications such as simple, compound or continuous compound interest, ordinary annuities, finding the maximum or minimum for quantities which are quadratic functions, and finding break even points, solving systems of linear equations. Use geometric method to solve linear programming problems. Interpret information as an objective function with constraints, set up the linear programming problem, solve the problem and interpret the result in the context of the problem. Use basic counting techniques and calculate probabilities, including conditional probabilities. Apply the mathematical knowledge of probability to business problems and interpret the results. Represent data with graphical and numerical summaries. Calculate probabilities for binomial and normal distributions. Apply the statistical skills to problems in various business settings and interpret the results. Description of Specific Content: The course will cover the following topics. Basic Algebra: Factoring polynomials, operations on rational expressions, exponents and radicals, quadratic equations. Functions: Linear, quadratic, rational, exponential and logarithmic function. 1 Transformation of functions and graphing. Mathematics of Finance: Simple and compound interest, future value and present value of annuities, sinking funds, and amortization. Systems of Linear Equations: Solution of systems of linear equations by graphing, substitution, elimination by addition. Linear Programming: Systems of linear inequalities in two variables, geometric approach to solving linear programming problems in two variables. Probability and Statistics: Operations on sets, counting techniques including permutations and combination, basic properties of probability, conditional probability, Bayes formula, random variables and expected values. Graphical description and numerical summaries of data. Binomial distribution and normal distribution. Exam: There will be 4 exams each worth 100 points. Make-ups for missed exams will be available only in very special circumstances. You must e-mail me before the scheduled exam in order for a make-up to be considered. Exam dates will be announced at least one week in advance. Quizzes: There will be 10 quizzes each worth 10 points. Quizzes must be taken at the time they are scheduled in class. Homework: Homework will be assigned each class. Students are expected to come to class with assignment completed and the next section read. Homework will not be collected. It is important that you keep up with the homework. Most of the problems on the quizzes are very similar to the homework problems. Attendance: Attendance will count as 3% of your grade. Attendance will be taken in each class. Regular attendance is required. Those having two or more unexcused absences will be penalized. Grading: [90, 100] [88, 90) [85, 88) [80, 85) Exams (4) Quizzes Attendance A A __ B B 78% 19% 3% [78, 80) [75, 78) [70, 75) [65, 70) B __ C C D [61, 65) D [58, 61) D __ [0, 58) F Remarks: If you have any concerns or questions, please see me during my office hours (scheduled or arranged) right away. Tutors are available free of charge in Swart 113. Ask a lot of questions in class. Students are subject to disciplinary action for academic misconduct, which is in UWS 14.03, Wisconsin Administrative Code. 2