Course Syllabus for Math 143: Finite Math, Spring 2012

Mathematics Department - Arts and Sciences Division -

Kaskaskia College

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*"I took the road less traveled by, and that has made all the difference." - Robert Frost*

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**Office: ** ST - 118 Phone: 618-545-3360 email: jpalm@kaskaskia.edu

* Appointments for extra help with math may be made by contacting the instructor.*

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**Text: ** *Finite Mathematics, 5th* Edition, by Waner and Costenoble, Thomson/Brooks/Cole Publishing Co, and Copyright 2011

**Course Description for Math 143 Finite Math Credit Hours: 3.0**

This course includes an emphasis is on concepts and applications, rather than mathematical structures (designed especially for students in business, economics, Social Sciences and Life Sciences, with applications drawn from these fields). It includes such topics as: vectors, determinants, matrices, and matrix algebra; systems of linear equations and matrices; systems of inequalities and linear programming; simplex method, set theory, logic and Boolean algebra; counting and probability theory; stochastic processes; game theory; Markov chain methods; mathematical modeling; and the mathematics of finance.

Prerequisite: Math 134

**Materials Required:**

** ** Textbook, loose-leaf paper, pencils, highlighter

Suggested: Graphing calculator (TI-83), 3-ring binder

**Grading Policy: (Tentative) **

Grades will be based on papers, homework, quizzes, and tests.

Papers = two during the semester at 10 points each (about 2% final grade)

Homework = approximately 10 points per chapter (about 6% final grade)

Quizzes/Project = approximately 30 points per chapter (about 34% final grade)

Tests **=** approximately 100 points per chapter (about 58% final grade)

Five 50-minute tests will be given during the semester, 100 points each

Test 1 *Chapter 2* and *Chapter 3 * Systems of Linear Equations and Matrices and Matrix Algebra and Applications

Test 2 *Chapter 4 * Linear Programming

Test 3 *Chapter5 * The Mathematics of Finance

Test 4 *Chapter 6 * Sets and Counting

Test 5 *Chapter 7* Probability

Grading Scale

A = 90%- 100%

B = 80% - 89%

C = 70% - 79%

D = 60% - 69%

F = Below 60%

**Grading Policy continued:**

Note: When there is a question concerning the point value given on a graded quiz or exam, please write a response to the instructor and submit this within a week of receiving the paper. Class time is not the appropriate place to discuss this issue.

**Attendance:**

Attendance is expected and is beneficial for successful completion of this course. Students are expected to attend ALL scheduled class periods. If more than two weeks of classes are missed without a valid excuse, a student may be withdrawn from the class with an F. Students will not be allowed to make up homework, quizzes, or tests. For emergency situations, approval MAY be given for a missed class. Arrive on time and sign the attendance sheet for each class to receive full credit for course work that day. If you plan to withdraw from the course, it is your responsibility to make these arrangements!

If you miss less than 2 classes prior to midterm, you may have the opportunity to complete an extra credit paper worth 10 points. If you miss less than 2 classes from midterm to April 26, you may complete another extra credit paper worth another 10 points.

**Tardiness:**

It is disrespectful to others to interrupt a scheduled class. Arriving late for class will affect your grade. Participation scores will be lowered, homework may not be accepted, and extra time will not be given to complete quizzes or tests.

**Make-Up Policy:**

To reduce the number of make-up quizzes, each student's grade will reflect the lowest quiz score and lowest homework score dropped.

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As stated earlier, for **emergency** situations, approval **MAY** be given for a missed class. At the discretion of the instructor, if the opportunity for a make-up quiz or test is given, this quiz or test will be more difficult than the scheduled quiz or test. If possible, students must meet with the instructor before missing a class to discuss the extreme circumstance. **If this is not possible, students must meet with the instructor prior to the next class meeting.**

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**Cell Phones:**

** ** For the integrity of this class, cell phones may not ring or be used during quizzes or tests.

**Plagiarism or Cheating** :

Serious consequences will occur in the event of plagiarism or cheating. Plagiarism occurs if you submit work of someone else or take credit for words of another. Cheating occurs if you use someone's work or allow another student to use your work. **In the event of sharing work, the integrity of both students is in question.**

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*Violations of Academic Honesty*

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Submitting the work of another as your own--with or without his or her knowledge.

Stealing parts of or the entirety of a web site source, an article or a book for use in your paper.

Using the ideas and/or exact words of a professional writer (or internet source) without giving that person credit and without putting quotation marks around his or her words.

Sharing your paper with another student that he or she may use some or all of your ideas.

Submitting an essay in this class that has also been submitted in another class, or submitting an essay that contains a substantial amount of material taken from an essay submitted in another course.

**Chapters to Be Covered:**

** ** Chapter 1: (Review) Functions and Linear Models

Chapter 2: Systems of Linear Equations and Matrices

Chapter 3: Matrix Algebra and Applications

Chapter 4: Linear Programming

Chapter 5: The Mathematics of Finance

Chapter 6: Sets and Counting

Chapter 7: Probability

If time permits, an additional chapter may be covered.

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**Math 143 Finite Mathematics Outcomes:**

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After successful completion of Math 143 a student should be able to perform the following at a 70% success rate. (C or better)

- Solve systems of linear equations algebraically using Guassian Elimination
- Use elementary row operation and matrices to solve a system of linear equations
- Perform operations with matrices
- Use the inverse of a matrix to solve a system of equations
- Solve a linear programming problem using the graphical approach
- Use the Simplex Method to solve a linear programming problem
- Use Venn Diagrams to understand Set Theory
- Apply the Multiplication Principle of Counting
- Find the number of permutations of n objects taken m at a time
- Find the number of distinguishable permutations of n objects
- Find the number of combinations of n elements taken m at a time
- Use the Binomial Theorem to expand powers of binomial expressions
- Find the probability of an event
- Apply Bayes' Theorem to compute conditional probabilities
- Find the frequency of a random variable
- Construct a frequency distribution
- Find the mean, median, and mode of a collection of numbers or frequency distribution
- Calculate the variance and standard deviation of a collection of numbers or frequency distribution
- Use the uniform and normal probability density function
- Use the Standard Normal Tables (z-scores)
- Find the nth state of a Markov chain
- Find a stable matrix for a regular Markov chain
- Write an (absorbing) transition matrix in standard form
- Find a stable matrix for an absorbing Markov chain
- Determine simple interest and compound interest
- Find present value
- Determine continuously compounded interest
- Create an increasing and decreasing annuity
- Determine a monthly installment
- Create an amortization table

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**Important Dates:**

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** ** Last day to drop a class and receive full refund

Last day to withdraw with a W

**NOTE:** Following midterm, please know that it is your responsibility to withdraw from this class is you desire a W on your transcript. Failure to withdraw and not attending will result in an F for you transcript grade. Do not assume that I will withdraw you with a W for not attending.

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**Security:**

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** ** Observe the campus maps in each room to locate fire exits, first aid kits, and evacuation meeting areas. Also discuss in each class the appropriate steps to follow in emergency situations. From any campus phone, dial 9 then 911. To reach security on campus, from any campus phone, dial 3199.

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**Philosophy Statement:**

Teaching is empowering students to achieve success both academically and personally. It is on one level guiding students to learn new material. However, on a deeper level, teaching is about giving students the ability to learn new ideas and build on these ideas. Students will see the positive effects of studying and working to achieve a goal through determination and dedication.

Students in my class will see a learning environment that is both exciting and challenging to promote excellence. Also, students will be treated with respect in a positive atmosphere where discussion of a variety of ideas is encouraged.

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**A note of encouragement:**

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I look forward to working with you during this course. As with any math course, a dedication is needed toward both the completion of assignments and preparation for quizzes and exams. All odd-numbered problems have the answers in the back of the textbook. This is designed to give you a guide to understanding the concepts presented in each section. We will work several examples together during class; in addition, the text provides sample problems for you to study.

You need to know that this course will not be easy. If you have difficulty understanding a concept, please do not hesitate to ask questions during class; your questions will help the other students! You may also stop by my office, and I will be happy to answer your questions. There are videos and websites to assist your learning. Be sure to take advantage of the

Success Center where math tutoring is available. Please make an appointment in advance.

It is my goal that you will have a good experience with mathematics and leave this class with the confidence to pursue future mathematics courses.

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*"There are no shortcuts!" - Rafe Esquith*

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*"The game's on the schedule, we have to play it, we might as well win it." - Bill Russell*** **

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