MTH107 (Introduction to Finite Mathematics)

Vladimir A. Dobrushkin,Lippitt Hall 202C, 874-5095,dobrush@math.uri.edu

Math 107 is a special topics course that satisfies the general education requirement for math at the University of Rhode Island. The content of the course varies from section to section and semester to semester and the course is intended for students majoring in the liberal arts or other fields that do not have a specific mathematical requirement. The prerequisite is a basic high school algebra background. MTH107 covers the following concepts of modern mathematics: Sets and Operations on Sets, Elements of Combinatorics, Probability and Statistics.

**Fall 2017:
MTH107, section 02, TR 2:00 - 3:15pm, Pastore Hall, 122**

**TEXTBOOK:**"Mathematics A Practical Odyssey" (sixth edition) by David B. Johnson and Thomas A. Mowry, BROOKS/COLE, 2004, ISBN: 0 534 40059-0.

**Course Objectives and Goals:**

In this section of this course, you will have the opportunity to review Basic Math Skills. The goal of the course is to expose students to topics in mathematics that are useful in real life and to help students think logically and critically about mathematical information that abounds in our society. It is for students with a general elementary background in logic and probability that satisfies the university's “quantitative (Q)”
component of the general education curriculum. This class is one of several math classes that are specifically designed for students
who do NOT have precalculus or calculus requirements in their program of study.

Students who have signed up for MTH107 should have taken an initial math assessment and received a score which indicates a working knowledge of basic concepts like adding/multiplying fractions, laws of exponents, order of operations, etc. These topics will not be covered in MTH107. If you feel you might not be prepared for this level of math, you should consider dropping MTH107 and signing up for MTH 099 or MTH110. There are also intermediate algebra courses offered at CCRI. Note that neither of these options count toward meeting your MQ requirement, but rather will prepare you to enroll in MTH107 in the future.

__Leaning Outcomes:__

MSC Rubric Element: | STEM Rubric Elements: |
---|---|

A.1. Finds The Necessary Information | 1. Identifies facts, Vocabulary, definitions, |

A.2. Make a Plan For How To Solve The Problem | terms, concepts, people |

B.1. Performs the Calculation Or Analysis | 2. Recognizes concepts or tools relevant for |

B.2. Checks the Answer For Accuracy | application to a task |

C.1. Explains The Steps Taken | 5. Analyzes: Applies concepts to address the task |

C.2. Articulates The Solution | 6. A nalyzes: Deconstructs and contextualizes |

C.3. Presents The Problem and Solution in | 7. Analyzes: Evaluates and justifies |

an Organized, Clear, and Concise Manner |

MTH 107 satisfies the MSC and STEM rubrics (full coverage) for general education. At the end of the course the student should be able to:

- Distinguish an argument from other
forms of verbal expression recognizing their
premises and conclusions.

RUBRIC ELEMEMTS: Stem 1, Stem 6, Stem 7, A1, C1, C2, C3 - Recognize valid and invalid, sound and unsound, syllogistic argument forms.

RUBRIC ELEMEMTS: Stem 1, Stem 6, Stem 7, A1, C1, C2, C3 - Detect contradictions and lack of consistency among the premises of an argument.

RUBRIC ELEMEMTS: Stem 5, Stem 6, Stem7, C1, C2, C3 - Represent propositions symbolically using variables and logic connectives.

RUBRIC ELEMEMTS: Stem 1,Stem 2, A2, C2, C3 - Give precise logical meanings of the logical connectives: NOT, AND, OR, ONLY IF, IF
AND ONLY IF.

RUBRIC ELEMEMTS: Stem 2, Stem 6, A2, C1, C2, C3 - Parse a statement to detect the linguistic equivalent of parentheses.

RUBRIC ELEMEMTS: Stem 5, A2 - Build a Truth Table to evaluate a statement.

RUBRIC ELEMEMTS: Stem 2, Stem 6, A2, B1, B2, C1, C2, C3 - Use the concept of “set” and “member” to represent relationships between objects and ideas.

RUBRIC ELEMEMTS: Stem 1, Stem 2, A1 - Reproduce key definitions used in set theory: negation, intersection, union, subset, superset, equivalence, and their notations.

RUBRIC ELEMEMTS: Stem 1,Stem 2, Stem 5, Stem 6, Stem 7, A1, A2, B1, B2, C1, C2, C3 - Determine the number of items in a set by counting in new and different ways using factorials, combinations, and permutations.

RUBRIC ELEMEMTS: Stem 1,Stem 2, Stem 5, Stem 6, Stem 7, B1, B2, C1, C2, C3 - Use a Venn diagram to visually represent sets and facilitate counting.

RUBRIC ELEMEMTS: Stem 1,Stem 2, Stem 5, Stem 6, Stem 7, A2, B1, B2, C1, C2, C3 - Calculate any probability given the cardinality of the appropriate sets involved.

RUBRIC ELEMEMTS: Stem 1,Stem 2, Stem 5, Stem 6, Stem 7, B1, B2, C1, C2, C3 - Calculate simple, conditional, and joint probabilities by counting the members in the
appropriate sets.

RUBRIC ELEMEMTS: Stem 1, Stem 2, Stem 5, Stem 6, Stem 7, A2, B1, B2, C1, C2, C3 - Apply rules of probability to real world situations like medical tests and casino games.

RUBRIC ELEMEMTS: Stem 5, Stem 6, B1, B2, C1, C2, C3 - Recognize simple random processes (like dice rolling etc...) and calculate their expected value.

RUBRIC ELEMEMTS: Stem 1,Stem 2, Stem 5, Stem 6, A1, B1, B2, C1, C2, C3 - Draw a histogram to represent a set of data.

RUBRIC ELEMEMTS: Stem 1,Stem 2, Stem 5, Stem 6, A2, C1, C2, C3 - Calculate the mean, median, mode, standard deviation, and variance of a data set
which is either grouped or ungrouped.

RUBRIC ELEMEMTS: Stem 1, Stem 2, Stem 5, Stem 6, Stem 7, B1, B2, C1, C2, C3 - Determine z-scores and use a normal distribution table to solve problems involving
data that is normally distributed.

RUBRIC ELEMEMTS: Stem 1, Stem 2, Stem 5, Stem 6, Stem 7, B1, B2, C1, C2, C3

__Office hours:__Every Tuesday and Thursday, after 5pm in my office: 202C Lippitt Hall.

__Calculators:__A calculator (with memory, such as TI-83) is required. Technology will play an important role in this course and we will make extensive use of calculators; please, don't forget to bring your calculator to each class.

__Attendance:__

Because of the high level of knowledge that will be imparted and assessed during class time, attendance is highly recommended.

Students not attending courses in which they enrolled have the obligation to drop those courses before the drop deadline. Names of students who are absent from the first and second class meetings of a course and **who do not notify the course instructor of their intention to attend future class meetings** will be submitted to the Office of Enrollment Services for deletion from the class roster. Students who expect to be absent from classes or examinations for University sanctioned events shall discuss this with the instructor at least one week in advance of the sanctioned event(s).

Make-up Exams:

Makeup exams will only be given to students with an acceptable excuse. The only acceptable excuses: religious holy day, family emergency, school sponsored event, job interviews, or sickness. All absences require documentation. For example, sickness, a doctor's excuse. You must let me know before the exam that you will not be able to take the exam in order to be given a makeup exam. All other absences will be given a zero for that exam. No exceptions! Makeup exams will be given at a time that is convenient for both you and me. Final exam: December 19 at 3:00 pm for section 02.

__Accomodations: __

Students who require accommodations and who have documentation from Disability Services (874-2098) should make arrangements with me as soon as possible. As a part of this process, please be in touch with Disability Services for Students Office at 330 Memorial Union.

**Weather phone number:** (401) 874-snow or 874-7669.

**Homework:**

Weekly homework assignments will be posted on Sakai. They can be found under the ˜Tests/Quizzes tab in Sakai and will be due every Friday. You will be allowed more than one submission for each assignment and your best grade will be recorded. However, NO LATE WORK WILL BE ACCEPTED, regardless of the excuse. There may also be in-class work assigned, and generally you will be able to work in small groups of 2 or 3 people. .

**Help With Your studies and homework:**

Tutors are available at both the Providence and Kingston campuses. Walk-in tutoring for math is located in Lippitt Hall.
There is a no appointment needed in the Lippitt Hall tutoring center. It is a place where you can work with tutors and
other students in this and other math courses. Support is provided for all math courses up to MTH 244. Be sure to
bring your book, notes, and questions with you. The tutoring center is a great place to study with classmates and
friends, prep for exams, and review the material covered in lecture. Check with them for specific hours. Check with
them for specific hours. The **Academic Enhancement Center's Weekly Tutoring Groups (WTG) program**:
http://web.uri.edu/aec/files/f17-WTG-Request-Form-Group-fillable.pdf

**Illness**

The nation is experiencing widespread influenza-like illness. If any of us develop flu-like symptoms, we are being advised to stay home until the fever has subsided for 24 hours. So, if you exhibit such symptoms, please do not come to class. Notify me your instructor of your status, and we will communicate through the medium we have established for the class. We will work together to ensure that course instruction and work is completed for the semester.

The Centers for Disease Control and Prevention have posted simple methods to avoid transmission of illness. These include: covering your mouth and nose with tissue when coughing or sneezing; frequent washing or sanitizing your hands; avoiding touching your eyes, nose, and mouth; and staying home when you are sick. For more information please view www.cdc.gov/flu or flu.gov . URI Health Services web page, www.health.uri.edu , will carry advice and local updates.

** Civility Policy: **.

The University of Rhode Island has adopted a civility policy regarding disruptive classroom behaviors. Disruptive behaviors are defined as behaviors that interfere with the learning and/or teaching process. Disruptive behaviors in the classroom include inappropriate talking during lectures or class discussions or in any manner interfering with other student's ability to have a quality learning experience. Students who engage in disruptive behavior will receive one warning without penalty. Continued incidents of disrupting the class will result in the initiation of removal procedures or the loss of a letter grade. Disruptive behaviors include cell phone and pager use. Cell phones and pagers must be turned off, silent, and out of sight during classes, and you should not be checking for calls or messages during class (including "texting"). Common sense and common courtesy should govern classroom civility.

**.**

__Grading Incomplete (URI regulations):__- 8.53.20. A student shall receive a report of "Incomplete" in any course in which the course work has been passing up until the time of a documented precipitating incident or condition, but has not been completed because of illness or another reason which in the opinion of the instructor justifies the report. An instructor who issues a grade of "Incomplete" shall forward a written explanation to the student's academic dean.
- 8.53.21. The student receiving "Incomplete" shall make necessary arrangement with the instructor or, in the instructor's absence, with the instructor's chairperson to remove the deficiency. This arrangement shall be made prior to the following midsemester for the undergraduate student and within one calendar year for the graduate student.