Math 102 – Introduction to Mathematics Fall 2012 Professor: Dr. Jess Lenarz Meeting Time & Place: 3:00 pm - 4:15 pm T/H Bridges 262 Office: MacLean 375R Office Hours: Monday – Friday 9:30 – 10:30; Monday & Wednesday 1:30 – 3:30, Friday 1:30 – 2:30; other times by appointment Phone: 477-4026 email: jessie.lenarz@mnstate.edu Website: http:\\web.mnstate.edu\lenarz\Math102\F12\index.htm Text: Mathematics All Around, by T. Pirnot, custom version of the 4th edition for MSUM, 2010. Prerequisites: Students are required to have an ACT math score of 19 or higher or a score of 15 or higher on the MnSCU math placement test. Students who do not meet these criteria should take Mathematical Concepts (MDEV 102) prior to taking MATH 102. Transfer students should contact their instructor at the start of the semester if they are questioning their placement in this course. Course Description: Logic, sets, probability and statistics, problem solving strategies. Goal: To increase students’ knowledge about mathematical and logical modes of thinking. This will enable students to appreciate the breadth of applications of mathematics, evaluate arguments, and detect fallacious reasoning. Students will learn how to apply mathematics, logic and statistics in making decisions concerning their lives and careers. Student Competencies: The successful student will be able to Solve real-life problems using mathematics/logic systems. Express mathematical/logical ideas clearly in writing. Organize, display, analyze information and understand methods of data collection. Explain what constitutes a valid mathematical/logical argument (proof). Apply a variety of higher-order problems-solving and modeling strategies. Exhibit mastery of computational skills and the ability to make reasonable estimates. Lenarz – Math 102 Fall 2012 Page 2 Learning Outcomes: The successful student will Determine whether arguments are valid. Solve real-life problems by using the principles of set theory. Make decisions regarding the possible events that are governed at least in part by chance. Apply the basic concepts of statistics, such as collecting data; drawing graphs; finding measures of average, variation, and position; and solving problems using the standard normal distribution. Demonstrate understanding of select concepts in logic, set theory, probability, and statistics by solving a real-life problem and communicating their work to the class orally and/or in writing. Free Tutoring: The Mathematics Department provides free walk-in tutoring in MacLean 383, Monday – Friday from 8 am to 4:30 pm. The Mathematics Learning Center provides walk-in tutoring in MacLean 278, Monday – Thursday 9:30 am to 8 pm and Friday 9:30 am to 1:30 pm beginning on August 30. Grading: Final grades will be determined by the following components: Component % Exams (4 @ 16% each) 64 % Homework 18 % Quizzes/Classwork 18 % Grades will be based on the following scale: Percentage 93 − 100 90 − 92 87 − 89 83 − 86 80 − 82 77 − 79 Grade A AB+ B BC+ Percentage 73 − 76 70 − 72 67 − 69 63 − 66 60 − 62 0 − 59 Grade C CD+ D DF Exams: There will be 4 in-class unit exams given during the course. The final exam will be the last unit exam (that is, the final will NOT be cumulative). Each inclass exam will be 75 minutes long and count as 16% of your grade. Attendance is required for exams. Makeup exams will only be for excused absences. I will give at least one week notice before an exam. Homework: Homework problems for each section will be announced in class and posted on mathxl.com. The assigned problems are to be completed by the given due date (typically the next class meeting). Late homework will not be accepted – all homework is due by the date and time listed on MathXL. At the end of the semester, your five lowest homework scores will be dropped. If you would like Lenarz – Math 102 Fall 2012 Page 3 more practice, the answers to odd-numbered problems are in the back of the book. Quizzes & Classwork: Every class period we will either have a quiz or do inclass work. I will collect some of the in-class work. I will drop your three lowest quiz/classwork scores at the end of the semester. Attendance: Students are expected to attend and participate in class. If you aren’t in class, you won’t learn anything! All absences will be considered unexcused unless instructor approval is given. Make-up classwork or quizzes will be given only for those with excused absences. Calculators: Calculators are not required, but highly recommended. Any scientific calculator would be appropriate. Cell phones may not be used as calculators. Please see me if you need help selecting a calculator. Partial Credit: Partial credit will be awarded. If your final answer in incorrect, but your thought processes were correct in general, you will receive some credit. In a similar manner, if no thought processes are indicated and your answer is correct, you will not receive full credit. YOU MUST ALWAYS SHOW YOUR WORK! Academic Honesty: All students are expected to follow the policies set forth in the Academic Honesty section of the catalog. Cheating will NOT be tolerated. If you are caught cheating, you will receive a zero for that quiz, exam or assignment. Special Accommodations: Students with disabilities who believe they may need an accommodation in this class are encouraged to contact Greg Toutges, Director of Disability Services at 477-4318 (Voice) or 1-800-627-3529 (MRS/TTY), Flora Frick 154 as soon as possible to ensure that accommodations are implemented in a timely fashion. Information regarding Disability Services is available at http://web.mnstate.edu/disability/ Classroom Behavior: Please respect your fellow classmates. This means not distracting other students during class with ringing cell phones, talking on the phone, talking with your neighbor, etc. I do not mind if you eat or drink during class, just clean up after yourself. Changes: Components of this syllabus are subject to change. If changes need to be made in the syllabus, students will be involved in the decision process. Lenarz – Math 102 Fall 2012 Page 4 Tentative Schedule: Note that we will not meet on October 16 (Fall Breather) or November 22 (Thanksgiving Break). The final exam time scheduled for this class is Thursday, December 13 at 3:00 pm. Date Aug. 28 Aug. 30 Sept. 4 Sept. 6 Sept. 11 Sept. 13 Sept. 18 Sept. 20 Sept. 25 Sept. 27 Oct. 2 Oct. 4 Oct. 9 Oct. 11 Oct. 16 Oct. 18 Oct. 23 Oct. 25 Oct. 30 Nov. 1 Nov. 6 Nov. 8 Nov. 13 Nov. 15 Nov. 20 Nov. 22 Nov. 27 Nov. 29 Dec. 4 Dec. 6 Dec. 11 Dec. 13 Topic Introduction and 2.1 – The Language of Sets 2.2 – Comparing Sets 2.3 – Set Operations 2.4 – Survey Problems Review Exam 1 (Chapter 2) 3.1 – Statements, Connectives, and Quantifiers 3.2 – Truth Tables 3.3 – The Conditional and Biconditional 3.4 – Verifying Arguments 3.5 – Using Euler Diagrams to Verify Syllogisms Review Exam 2 (Chapter 3) 13.1 – Introduction to Counting Methods Fall Breather – NO CLASS 13.2 – The Fundamental Counting Principle 13.3 – Permutations and Combinations 14.1 – The Basics of Probability Theory 14.2 – Complements and Unions of Events 14.3 – Conditional Probability and the Intersection of Events 14.4 – Expected Value Review Exam 3 (Chapters 13 & 14) 15.1 – Organizing and Visualizing Data 15.2 – Measures of Central Tendency Thanksgiving Break – NO CLASS 15.3 – Measures of Dispersion 15.4 – The Normal Distribution 7.1 & 7.2 – Linear Equations & Modeling with Linear Equations 15.5 – Linear Correlation Review Exam 4 (Chapters 15 & 7) at 3:00 pm NOTE: This is scheduled final exam period.