COURSE: Finite Math (Math 21) - Section 2380, Fall 2002 PREREQ: Completion of Math 20 (Intermediate Algebra) with a grade of C or better OFFICE: MATH/MC 40V HOURS: Mon. 1:00 2:00pm; Tue. 5:15 6:15pm; Wed. 9:30 10:30am; Thu. 1:00 2:00 in Math Lab PHONE: Voicemail (310) 434-4722 MAIL: Students may leave written material/messages in the campus mailroom in the Liberal Arts Bldg email: manion_fran@smc.edu (I try to check my email each evening.) WEB Sites: http://homepage.smc.edu/manion_fran/ The Website contains syllabus, tentative lecture schedule, homework assignments, unit objectives, review sheets, class announcements and links to course-related material. http://www.smconline.org This site is under development for Manion s Math 21 class. Instructor will advise you of accessibility. RESOURCES: Tutorial assistance, both drop-in and by appointment is available in the Math Lab located in MATH 34. TEXT: Finite Mathematics, 5 th Ed, by Howard L. Rolf, Harcourt College Publishers, 2001 TOOLS: Scientific calculator (preferably Casio model), graph paper, straight-edge or ruler OPTIONAL: Student solutions manual COURSE DESCRIPTION This course is designed for liberal arts and/or social science majors. Topics include sets and counting, probability, linear systems, linear programming, statistics and mathematics of finance, with applications for liberal arts majors. The course will focus on problem using a problem-solving approach and writing activities. This class will use an active learning model wherein students will be required to participate in group activities. PREREQUISITE SKILLS You instructor will assume that prior to enrolling in this course you have learned to: A. Use matrices to solve a consistent system of two or three equations with two or three unknowns. B. Solve and graph linear equations and inequalities. C. Manipulate algebraic expressions. D. Apply order of operations in evaluating numerical expressions. E. Translate verbally stated problems into appropriate mathematical form. F. Solve basic interest problems involving simple interest and annual compounding COURSE OBJECTIVES Upon completion of this course, students will be able to: 1. Solve linear systems using matrices. 2. Solve optimization problems in 2 variables using linear programming (graphical methods). 3. Apply elementary mathematics of finance, including compound interest, annuities, and amortization. 4. Use a hand held calculator to perform computations effectively. 5. Calculate measures of central tendency (mean, median, mode) and measures of dispersion (range, variance, standard deviation). 6. Use elementary combinatorics, including multiplication principle, permutations, combinations, partitions, and principle of inclusion and exclusion to solve counting problems. 7. Use counting techniques to compute probabilities where outcomes are equally likely. 8. Apply basic probability theory, including weighted averages, Bayes' Theorem, and Bernoulli experiments. 1
REGULAR ATTENDANCE at class is required. Attendance will be taken daily. The instructor may drop any student who misses four class meetings. HOMEWORK assignments are listed on the tentative lecture schedule. Selected problems will be discussed in class. Practice with computational formulas, use of the calculator and the solution of application problems are critical to your success in this class. The majority of the problems assigned are odd-numbered exercises for which answers are provided in the back of the text. Homework should be done as soon as possible after class. It is a good idea to review class notes before attempting the homework. Each homework assignment also includes one or two 2 starred problems, selected from the even-numbered exercises. These problems will be collected at the next class meeting and graded. Homework problems should be presented on standard 8-1/2 x 11 paper. (Paper ripped out of a spiral notebook is not acceptable!!!) Be sure to write your name, the text section number and the problem number(s) for the assignment on the upper right hand corner of the first page. When two problems are assigned, present one problem on each side of the paper. Your homework problems will be graded on presentation, process and accuracy. For full credit, you must include a statement of the problem, a clear presentation and description of your work and a statement of the solution expressed in a complete English sentence. Your homework also includes reading the sections scheduled for discussion at the next class. Frequent QUIZZES based on homework problems and lectures will monitor your understanding of the concepts, notation and terminology. Homework and quizzes will account for 10% of your final grade. Unit PROJECTS will account for 10% of your final grade. Your projects will be graded on presentation, process and accuracy. A list of suggested projects will be provided with each unit. Four UNIT TESTS will account for 60% of the final grade in the course. Topics included on each test are: Unit 1 Test: Sections 6.1-6.6 Unit 2 Test: Sections 7.1-7.6 Unit 3 Test: Sections 8.1-8.3, 5.1-5.4 Unit 4 Test: Sections 1.3, 2.1-2.3, 3.1-3.3 The best three of the four test scores will be used in the calculation of your final grade. No make-up tests will be given. A COMPREHENSIVE FINAL EXAM will be given according to the college final exam schedule and will account for 20% in the computation of the final grade. A student must receive a passing grade (D or better) on the final in order to pass the class. LETTER GRADES on tests, quizzes, and the final exam will be assigned according to the following scale: A = 90% - 100% B = 80% - 89% C = 70% - 79% D = 60% - 69% F = below 60% Your final grade will be calculated as a weighted average using the following formula: Final Grade =.10*(Hmwk & Quizzes) +.10*(Project) +.60*(Test Average) +.20*(Final Exam) 2
Maintaining the appropriate CLASSROOM CLIMATE is the responsibility of each student. As a matter of courtesy, you should arrive on time for class. Pagers and cellular phones should be turned off or muted during class time to avoid creating a distraction. Food and beverages should be consumed outside the classroom. You are expected to be courteous to and respectful of your colleagues as well as the instructor. Talking during the lecture or announcements is a distraction to other students and the instructor and should be avoided. Santa Monica College has a STUDENT CONDUCT CODE and may discipline students in accordance with its provisions. The College also has the authority to remove students from a class or program if they are disruptive of the instructional process, do not respect the civil rights of other students, cannot benefit from instruction, or present health and/or safety hazards in a class. Disciplinary sanctions include, but are not limited to, verbal or written reprimand, disciplinary probation, removal from class, ineligibility to participate in extracurricular activities, suspension, and expulsion. Santa Monica College defines ACADEMIC DISHONESTY as the act of or assistance in deceiving, including fraud or deception, in any academic exercise. This includes, but is not limited to, the following actions not authorized by the instructor: Using testing aids such as calculators, tape recorders, or notes on any examination. Allowing another individual to assume one's identity for the purpose of enhancing one's grade in any of the following: testing, field trips, or attendance. Falsifying or attempting to falsify attendance records and/or grade rosters. Representing the words, ideas or work of another as one's own in any academic exercise (plagiarism), including the use of commercial term paper companies. Changing answers on a previously scored test, assignment, or experiment with the intent to defraud. Copying or allowing another student to copy from one's paper or answer sheet during an examination. Inventing information for the purpose of completing a laboratory exercise or case study with the intent to defraud. Giving and/or taking information during an examination by any means including sign language, hand signals, secret codes, or electronic transmission. When taking a quiz or exam, you should keep your eyes on your own paper. Communicating (talk or body language) with another student during the exam without instructor permission is unacceptable. You are expected to do your own work on all quizzes and examinations. Students are encouraged to work together on the homework and review exercises. A first offense of academic dishonesty will result in a zero grade on that quiz or exam. A zero grade assigned as a result of academic dishonesty will NOT be dropped as the lowest score. In addition, a report will be filed with the Campus Disciplinarian. For more detailed information, please refer to the College Conduct Code and Academic Conduct Code found posted in the classroom and in the SMC Student Handbook/Guide. 3
Lecture Schedule and Homework Assignments Homework should be done as soon as possible after class. It is a good idea to review class notes before attempting the homework. The starred problems from each assignment will be collected at the next class meeting. If you are absent, your work is due the day you return to class. Date Text Homework M, 08/26 6.1: Sets p.395, #1-69 EOO (Every Other Odd) 6.2: Counting Elements in a Subset W, 08/28 6.2: Counting Elements in a Subset 6.3: Basic Counting Principles p.401, #1,5,9,13,17,18*,21, 22*, 23,25 p.413, #1-29 odd, 30*, 33, 34*,35,37,39 M, 09/02 Labor Day Holiday No Classes W, 09/04 6.4: Permutations p.424, #1-16 odd,17,21,25,29,31,35,37,38*,39,41,43,47,48*,49,55,57,61 M, 09/09 6.5 Combinations p.438, #1-44 odd; 32*,38* W, 09/11 6.6: A Mixture of Counting Problems p.447, #1-31 odd; 20*,30* M, 09/16 7.1 Introduction to Probability 7.2 Equally Likely Events W, 09/18 Test #1 (Sections 6.1-6.6) p.463, #1-25 odd; 10*,20* p.473, #1-27 odd, 20*,26*,31,33,35,41,51,55 M, 09/23 7.2 Equally likely Events 7.3: Compound Events p.486, #1-23 odd, 24*,25,28*,29,33,37,39,41,43,49,51 W, 09/25 7.4: Conditional Probability p.499, #1-49 EOO; 22*,36* M, 09/30 7.5: Independent Events p.517, #1-45 odd; 14*,26* W, 10/02 7.6: Bayes Rule p.529, #1-35 EOO; 8* M, 10/07 8.4: Random Variables & Probability Dist p.600, #1-33 odd, 18*,28* W, 10/09 8.6: Bernoulli Experiments & Binomial Dist p.623, 1-47 EOO; 26*, 44*,53,55 M, 10/14 8.1: Frequency Distributions p.564, #1-21 odd; 12*,18* W, 10/16 Test #2 (Sections 7.1 7.6, 8.4, 8.6) M, 10/21 8.2: Measures of Central Tendency 8.3: Measures of Dispersion p.576, 1-25 EOO, 27,31,33,34*,39,40*41,45 p.589, #1-33 EOO; 18*,28* W, 10/23 5.1: Simple Interest 5.2: Compound Interest p.335, #1-65 EOO; 42*,62* p.347, 1-17 odd, 21,23,24*,25,27,31,34*,43,45,47,51,53 M, 10/28 5.3: Annuities and Sinking Funds p.358, #1-45 EOO;28*,36* W, 10/30 5.4: Present Value Annuities, Amortization p.375, #1,5,9,11,15,17,21,23,25,26*,27,29,33,35,36*,37,39,41 M, 11/04 1.3: Math Models p.41, #1,5,9,13,15,16*, 19,22*,23,25,31,33,37,39 W, 11/06 Test #3 (Sections 8.1-8.3, 5.1-5.4) M, 11/11 Veteran s Day Holiday No Classes W, 11/13 2.1: Systems of Two Equations 2.2: Systems w/three Variables; Intro Matrix p.64, #9,21,25,29,31,33,35,39,41,43,44*45,51,56*,61 p.82, #1,5,9,11,15,17,21,22*,23,25,27,31,35,37,38*,39,41 M, 11/18 2.2: Systems w/three Variables; Intro Matrix 2.3: Gauss-Jordan Solution Method p.102, #1-13 odd,15,19,23,27,29,33,37,39,43,47,51,53,56*,63,65,68* W, 11/20 2.3: Gauss-Jordan Solution Method M, 11/25 3.1: Linear Inequalities in Two Variables 3.2: Sol of Systems of Linear Inequalities p.186, (Use graph paper for graphs) #1-33 EOO; 24*,28* p.194, (Use graph paper for graphs) #1-27 EOO; 24*,34* W, 11/27 3.3: Linear Programming Geometrically p.213, (Use graph paper for graphs) #1-33 EOO, 26*,34*,35,39,45 M, 12/02 3.4: Linear Programming Applications p.226, #3,7,8*,11,13,17 W, 12/04 Test #4 (Sections 1.3, 2.1-2.3, 3.1-3.4) M, 12/09 Final Exam Review 4
M, 12/16 Final Exam, 8:00-11:00am Important Deadlines F, 09/06 Last day to add classes M, 09/16 Last day to drop the class without receiving a W on your permanent record M, 10/21 Last Day to Receive a guaranteed W without a grade check M, 11/18 Last day to receive a W with grade check 5