MATHEMATICS 1300 FINITE MATHEMATICS EAST TEXAS BAPTIST UNIVERSITY SPRING 2015 Professor: Dr. Kevin J. Reeves Office: Meadows 200C Office Phone: 923-2312 Email: [email protected] Office Hours: MWF: 9:00-9:59, MW: 1:30-2:29 TTH: 10:00-10:59, 1:00-2:29 Course Description: This course is designed as a course for liberal arts students. It assumes minimal algebraic and geometric background. Emphasis is on logic, set theory, graph theory, consumer mathematics, and probability. It does not count on a major, minor, or specialization in mathematics. Access to a departmentally approved scientific calculator is required. Course Objectives: Upon successful completion of this course, the student should be able to Understand how mathematicians describe relationships among sets and use sets to solve problems Understand logical statements symbolically and determine their truth value Determine the validity of logical arguments Understand basic concepts of graph theory and model relationships to solve problems Solve consumer finance problems involving interest, loans, annuities, and amortization Understand the basic principles of counting and be able to solve counting problems Understand and be able to compute basic probability problems Assigned Text/Software: My MathLab Access Kit (ISBN: 978-0321199911 Note: e-book is included) (Optional: Mathematics All Around 5th Edition textbook, ISBN: 978-0321836991) Attendance: Attendance is an essential requirement of this course. The 2014-2015 catalog states on pages 23-24, “Attendance at all meetings of the course for which a student is registered is expected. To be eligible to earn credit in a course, the student must attend at least 75 percent of all class meetings.” With 29 class sessions, students must attend 22 sessions, so 8 absences require a grade of “F” from the instructor. Disruptive behavior or excessive tardiness will count as a class absence. See the catalog for more details on the attendance policy. Any student who misses 2 class periods or less will receive an extra half-percent grade boost on their overall course grade (athletics and other school approved activities will not count against this number if the student notifies the instructor about the absence in advance). Examinations and Grading Policy: The course grade will be determined by averaging the scores from 4 unit tests (each is 15%, accounting for 60% of the grade), homework (15%), and the comprehensive final (25%). Semester grades are assigned based on the following grading scale: A: 90%-100%, B: 80%-89%, C: 70%-79%, D: 60%-69%, F: below 60% Academic Center for Excellence, or ACE, is located in the library, and is intended to provide a place for individual and small group study. Contact the Office of Academic Success (x2076) for information about when math tutors are available. Extra credit is available for utilizing the ACE when a math tutor is on duty. A student may earn up to 5% bonus credit on their homework grade by submitting up to 10 tutoring slips (must all be from different days) over the course of the semester to the instructor. Makeup Policy: Tests: If you will miss an exam for any of the reasons mentioned in Item 3 under Class Attendance on pp. 23-24 of the catalog, and I am notified in advance of your absence, you will be allowed to schedule a makeup test. Students who miss one exam (and no more) for any other valid reason during the semester are allowed to replace the score on that exam with the percentage from their final exam grade. No other makeup exams will be given for any reason. This policy is not flexible. Final Exam: The final exam must be taken on the posted day and time unless you satisfy one of the reasons listed on p. 31 of the catalog and you follow the directions listed there to reschedule your exam with me. Homework: Homework and chapter quizzes will be submitted online. Students MUST register for MyMathLab, which must be accessed through the link provided on Blackboard. Once you enter the site, you will need your purchased access kit code to be able to register (or you can pay for access at this point). There is an online homework assignment for each section of the text that we will cover in class, as well as an optional online quiz for each chapter. Homework will usually be due the next day after a section is completed in class. Your three lowest homework scores will be dropped before your homework average is computed. The optional quizzes can be used to earn extra credit on each exam, based on the average score a student earns on all quizzes assigned related to that exam’s material. Academic Integrity: Section 3 of the page on Classroom Expectations addresses this fundamental aspect of classroom behavior. Also see p. 21 of the current catalog for more information on Academic Integrity. Tentative Course Outline: We will cover about 2 to 3 sections per week, and homework due dates will be posted on the MyMathLab website. (Note: all dates are tentative and subject to change.) 1.1 Problem Solving 1.2 Inductive and Deductive Reasoning 1.3 Estimation 2.1 2.2 2.3 2.4 The Language of Sets Comparing Sets Set Operations Survey Problems (Bonus material: 2.5 Infinite Sets) Test I – Approximately Tuesday, February 3 3.1 3.2 3.3 3.4 3.5 Statements, Connectives, and Quantifiers Truth Tables The Conditional and Biconditional Verifying Arguments Using Euler Diagrams to Verify Syllogisms 4.1 Graphs, Puzzles, and Map Coloring 4.2 The Traveling Salesperson Problem 4.3 Directed Graphs (Bonus material: 3.6 Fuzzy Logic) (Bonus material: 4.4 Scheduling Project Using PERT) Test II – Approximately Thursday, March 5 8.1 8.2 8.3 8.4 8.5 Percents, Taxes, and Inflation Interest Consumer Loans Annuities Amortization (Bonus material: 8.6 Annual Percentage Rate) Test III – Approximately Thursday, April 2 (Note that the last day to withdraw is April 2nd) 12.1 Introduction to Counting Methods 12.2 The Fundamental Counting Principle 12.3 Permutations and Combinations 13.1 13.2 13.3 13.4 (Bonus material: 12.4 Counting and Gambling) The Basics of Probability Theory Complements and Unions of Events Conditional Probability and Intersections of Events (if time permits) Expected Value (if time permits) (Bonus material: 13.5 Binomial Experiments) Test IV – Approximately Tuesday, April 21 Final Exam – Tuesday, April 28 @ 8:00-9:50 Disability Accommodation Statement: A student with a disability may request appropriate accommodations for this course by contacting the Office of Academic Success located in Marshall Hall 301, and providing the required documentation. If accommodations are approved by the Disability Accommodations Committee, the Office of Academic Success and Graduate Services will notify you and your professor of the approved accommodations. You must then discuss these accommodations with your professor. Classroom Expectations This document is part of the class syllabus, and all students are expected to carefully read it to understand their part in enhancing the learning environment. 1. It is the student’s responsibility to arrive on time for class, prepared and ready. a. b. c. d. e. f. 2. It is the student’s responsibility to observe appropriate behavior during class time. a. b. c. d. 3. Attendance is recorded during the first five minutes of the class period. If you arrive after that time (or leave early), you will be marked absent for the day, unless you discuss the situation with me and I agree to mark you present. Bring all necessary materials with you, including textbook, calculator, pen or (sharpened) pencil, and something to write on. Read ahead through whatever section of the textbook is to be discussed that day and make notes about portions you don’t understand. Turn off any cell phones or other devices that may cause disturbances during class time. Texting during class is not permitted. Make any needed trips to the rest room or water fountain before class begins. Come to class rested and ready to learn. If you are observed sleeping during class time you will be marked absent for the day. No food or drink is allowed in classroom environments (with the exception of water in a clear, closeable water bottle). Do not carry on conversations with your fellow classmates during class. If disruptive behavior persists after being warned, you will be asked to leave the class and be marked absent for the day. If you have a question about something covered by the instructor, please raise your hand and get the instructor’s attention to ask your question. Do not disrupt your fellow student’s ability to learn during class time in any way your instructor or fellow students feel is inappropriate. Laptops may be used in class, but only to follow along with the class lectures if needed. It is the student’s responsibility to promote academic honesty at all times. a. b. c. d. e. Any assignment turned in (including homework) must be your own work, and not someone else’s. Even if you and a friend work together on an assignment, what you turn in must be your own work, and not your friend’s work. During exams and quizzes, make sure that nearby students cannot see your paper. During any closed book testing environment, make sure your notes, textbook, etc are out of view of all students (including yourself). Observe any dress code that your instructor requires. For example, I do not allow baseball caps to obscure student’s eyes on test days. If a student is observed cheating on any exam, the student will receive an F for the course, and will be referred to the Academic Affairs office for disciplinary action. Note that sending or receiving electronic messages (texting) during any exam is considered cheating and will be handled as such.
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