Approved at 2/21/07 University Studies sub-committee. A2C2 action pending. Math 110 Finite Mathematics 11:00 – 12:20 Class time: TR Text: Sullivan, Mizrahi Instructor: Ryan Gegg-Harrison rgeggharrison@winona.edu Office Hours: Mondays & Wednesdays 11 a.m. – 12 p.m. and 1 p.m. – 3 p.m. Tuesdays & Thursdays 8 a.m. – 10 a.m. Office: Stark 209 Fall 2006 Pasteur 229 "Finite Mathematics" Office Phone: 457 – 2609 Course Web Page: http://classes.winona.edu/20073000374/ReadOnly/index.html Course Objective: Applications of elementary mathematics on matrices, linear programming, probability, and statistics to real-life problems. This course provides the noncalculus mathematics background necessary for students in business, management, and social sciences. Evaluation: Your grade will be determined based on points earned from homework, quizzes, labs, and exams. There will be a total of 600 points distributed as follows: Midterm Exams – 300 points (50%) Quizzes – 90 points (15%) Labs – 60 points (10%) Final – 150 points (25%) Grading Scale: 90 – 100% 80 –89% 70 – 79% 60 – 69% Below 60% A B C D F Homework/Weekly Quizzes: Daily homework will be assigned but not formally collected for grading. Weekly quizzes will be given which can include the submission of random individual homework problems for grading and also quiz questions similar to the homework problems. There will be 10 quizzes worth 10 points each throughout the semester, of which your lowest score will be dropped (total of 90 points). Labs: There will be a total of 3 lab homework assignments; roughly one every 5 weeks. Labs are additional homework assignments which will be graded. Labs will be worth 20 points each. Exams: There will be a total of 4 exams in this course; 3 “Midterm” exams worth 100 points each, and a Final exam worth 150 points. There will be one 80 minute midterm exam roughly every 5 weeks; exam dates will be announced in class. Makeups: Make-up exams will not be granted except in the case of an emergency. In the situation of an emergency, the instructor must be notified prior to the exam in order to schedule a make-up. Whether a situation is an emergency or not is determined by the instructor. Final Exam: The final exam will be on Thursday December 14th from 1:00 – 3:00 p.m. Late Work: No late work will be accepted for any reason. Cheating: Collaboration on homework problems and in-class work is expected and encouraged. Quizzes and Exams are individual assessments for which any cheating will not be tolerated. On the first offense, all individuals involved will receive an F for the semester. Disabilities Statement: Students with disabilities are encouraged to advise me of any additional support that is required. You should also contact Disability Services at 457-2391 Course Outline and Homework: Homework will be updated online. Check the course website for homework assignments. Week Topics Covered Topic Description 1 1.1 – 1.2 Lines and Pairs of Lines 2 1.3, 2.1 3 2.1 – 2.3 4 2.3 – 2.5 5 2.6 – 2.7 Application problems, Break even point, mixture problems Systems of equations: substitution and elimination Systems of linear equations: matrix method Systems of m equations with n variables Systems of m equations with n variables Matrix Algebra Inverses of Matrices Applications of matrices 6 7 Chapter 1 and 2 Review and Exam 5.1 – 5.3 8 5.4 – 5.6 9 10 Chapter 5 Review and Exam 6.1 – 6.4 Sets, Multiplication Principle 11 6.4 – 6.5 Combinations and Permutations 12 13 Chapter 6 Exam 7.1 – 7.2 14 7.3 – 7.4 15 7.5 and Chapter 7 Review Interest, Compound Interest formulas The multiplication principle of counting Annuities, Recursive sequences Applications Sample Spaces and probability Properties of probability of an event Conditional Probability Independent Events Conditional Probability Independent Events The policies and outline of this course are subject to change at the discretion of the instructor BASIC SKILLS OUTCOMES This course can be used to satisfy the University Studies requirements for Basic Skills in Mathematics. This course includes requirements and learning activities that promote students’ abilities to... a. use logical reasoning by studying mathematical patterns and relationships; Math 110 solves linear equations. This includes rectangular coordinates and lines, parallel and intersecting lines, and their applications. Counting techniques are also used such as sets, the multiplication principle, permutations, combinations, and applications. b. use mathematical models to describe real-world phenomena and to solve realworld problems - as well as understand the limitations of models in making predictions and drawing conclusions; Systems of linear equations are solved by substitution, elimination, and matrix reduction. Matrix algebra, matrix multiplication, and the inverse of a matrix are studied by the student. Finance is covered including interest, compound interest, annuities, amortization, and their applications. c. express the relationships illustrated in graphical displays and tables clearly and correctly in words; and/or Linear programming is examined by using a geometric approach. Probability is utilized through sample spaces and probability models, properties of the probability of an event, and probability based on counting techniques. Conditional probability and independent events are also examined. d. use appropriate technology to describe and solve quantitative problems; Technology is used to solve large systems of linear equations.